original_problem stringlengths 40 971 | original_solution stringlengths 1 42 | augmented_problem stringlengths 108 1.27k | augmented_solution stringlengths 1 367 | distractor_metadata dict |
|---|---|---|---|---|
Problem: Statement: Title: The Star. Sentence 1: I looked out my window and saw what I thought to be a star. Sentence 2: The dot of light was a funny color so I decided to investigate. Sentence 3: I got out my telescope from the garage and set it up. Sentence 4: When I pointed at the star I saw it for what it was. Choi... | a | Problem: Statement: Title: The Star. Sentence 1: I looked out my window and saw what I thought to be a star. Sentence 2: The dot of light was a funny color so I decided to investigate. Sentence 3: I got out my telescope from the garage and set it up. Sentence 4: When I pointed at the star I saw it for what it was. Sepa... | a | {
"distractor_types_used": [
{
"description": "An independent, self-contained sub-problem (an unrelated anecdote about an inspector and an envelope) is fused into the original story text, requiring the solver to separate the unrelated note from the main narrative.",
"name": "Compositional understandin... |
Statement: Title: Metal Shop. Sentence 1: Fred was a high school student at a small school. Sentence 2: He decided to take metal shop as his elective. Sentence 3: He worked very hard and listened to his instructor. Sentence 4: One day Fred started his final project. Choices: a. He started lightly brushing instead. b. H... | b | Statement: Title: Metal Shop. Sentence 1: Fred was a high school student at a small school. Sentence 2: He decided to take metal shop as his elective. Sentence 3: He worked very hard and listened to his instructor. Sentence 4: One day Fred started his final project. Sentence 5: At the same time, his classmate Lydia was... | b | {
"distractor_types_used": [
{
"description": "An independent physics sub-problem (compute torque) is fused into the narrative so the solver must separate the unrelated question from the main inference about Fred's actions.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_inc... |
Statement: Title: Tight Suit. Sentence 1: Tom was going to a wedding. Sentence 2: He got a suit to rent. Sentence 3: On the day of the wedding he got the wrong suit. Sentence 4: It fit too tightly. Choices: (A) Tom wore it anyway but could barely move. (B) Her son came to visit and she cried over taking advantage of hi... | A | Statement: Title: Tight Suit. Sentence 1: Tom was going to a wedding. Sentence 2: He got a suit to rent. Sentence 3: On the day of the wedding he got the wrong suit. Sentence 4: It fit too tightly. Meanwhile, the wedding planner was double-checking seating: there were 28 guests and she planned 4 equal tables, so she wo... | A | {
"distractor_types_used": [
{
"description": "An independent arithmetic seating sub-problem (how many guests per table) was fused into the original narrative, forcing the solver to separate the two tasks (story completion vs. arithmetic) and avoid cross-contamination of reasoning.",
"name": "Composit... |
Problem: Statement: Title: Moving Kittens. Sentence 1: The Smith family got two new kittens. Sentence 2: After a couple of days their youngest child got sick. Sentence 3: When the doctor looked at him it was obvious he was allergic. Sentence 4: Though the family was sad they knew what they had to do. Choices: a. Very q... | a | Problem: Statement: Title: Moving Kittens. Sentence 1: The Smith family got two new kittens. Sentence 2: After a couple of days their youngest child got sick. Sentence 3: When the doctor looked at him it was obvious he was allergic. Sentence 4: Though the family was sad they knew what they had to do. They also packed t... | a | {
"distractor_types_used": [
{
"description": "An independent arithmetic sub-problem (dividing six toys between two homes) was fused into the narrative so the solver must separate the unrelated calculation from the core discourse-coherence choice.",
"name": "Compositional understanding"
}
],
"... |
Statement: Calculate the result of the expression 8293 # 4243 # 6119 @ 5292, where '#' represents subtraction and '@' represents addition. | 3223 | Statement: Calculate the result of the expression 8293 # 4243 # 6119 @ 5292, where '#' represents subtraction and '@' represents addition. Separately, as an independent subtask, what is the digital root of 5292 (compute the sum of its digits repeatedly until a single digit is obtained)? | 3223 | {
"distractor_types_used": [
{
"description": "An independent numeric sub-problem (digital root of 5292) is fused into the main arithmetic task so the solver must separate and solve two unrelated computations.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_increase": "Moder... |
Statement: Given the arithmetic operation where '+' is represented by '@' and '-' by '#', perform the calculation on the following equation: 9988 @ 1201 @ 3935 # 4080 # 4285 # 2473 # 5404 @ 2319 @ 4069 | 5270 | Statement: Given the arithmetic operation where '+' is represented by '@' and '-' by '#', perform the calculation on the following equation: 9988 @ 1201 @ 3935 # 4080 # 4285 # 2473 # 5404 @ 2319 @ 4069. As an independent sub-problem (separate from the main calculation), compute the remainder when 9876 is divided by 13 ... | 5270 | {
"distractor_types_used": [
{
"description": "An independent arithmetic sub-problem (computing a remainder) is fused into the problem text, requiring the solver to separate the main task from the secondary task.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_increase": "Mo... |
Statement: Calculate the result of the equation 2885 # 8369 @ 8161 @ 3122 @ 8710 # 5897, where '#' represents subtraction and '@' represents addition. | 8612 | Statement: Calculate the result of the equation 2885 # 8369 @ 8161 @ 3122 @ 8710 # 5897, where '#' represents subtraction and '@' represents addition. Also, as a separate question, compute 47 - 13 + 6. | 8612 | {
"distractor_types_used": [
{
"description": "An independent arithmetic sub-problem is fused into the main problem so the solver must separate the two tasks and not conflate them.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_increase": "Moderate β likely to confuse mid-t... |
Statement: Calculate the result of the arithmetic expression where '#' is used for subtraction and '@' is used for addition. Specifically, evaluate 7503 - 1238 + 3244 + 1290 - 3944 + 6754. | 13609 | Statement: Calculate the result of the arithmetic expression where '#' is used for subtraction and '@' is used for addition. Specifically, evaluate 7503 - 1238 + 3244 + 1290 - 3944 + 6754. Separately, as a sanity check, compute the product of the digits of 7503 (i.e., 7 * 5 * 0 * 3). This secondary computation is indep... | 13609 | {
"distractor_types_used": [
{
"description": "Fused an independent sub-problem (a product-of-digits sanity check) into the main problem text, forcing the solver to separate and solve two tasks independently.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_increase": "Modera... |
Statement: Perform the arithmetic operation where '@' represents addition and '#' represents subtraction on the equation 4199 @ 5480 # 6493 # 7501 # 8758 @ 6124 # 1206 @ 4007 @ 3886 | -262 | Statement: Perform the arithmetic operation where '@' represents addition and '#' represents subtraction on the equation 4199 @ 5480 # 6493 # 7501 # 8758 @ 6124 # 1206 @ 4007 @ 3886. As an additional task, evaluate the alternating sum 9 - 8 + 7 - 6 + 5 - 4 + 3 - 2 + 1. | -262 | {
"distractor_types_used": [
{
"description": "An independent arithmetic sub-problem (an alternating sum) is fused into the prompt so the solver must separate the two tasks and not combine them when producing the final answer.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_... |
Statement: Calculate the result of the arithmetic operation where # represents subtraction and @ represents addition in the equation 7199 # 6634 @ 3327 # 2685 @ 3412 @ 5049. | 9668 | Statement: Calculate the result of the arithmetic operation where # represents subtraction and @ represents addition in the equation 7199 # 6634 @ 3327 # 2685 @ 3412 @ 5049. As a separate sub-problem (independent of the above), compute 3412 - 2685 and state that difference; do not combine this sub-result with the main ... | 9668 | {
"distractor_types_used": [
{
"description": "An independent sub-problem (compute 3412 - 2685) is fused into the main problem text, requiring the solver to separate the two tasks and avoid mixing intermediate results.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_increase... |
Statement: Perform the arithmetic operation represented by the symbols in the equation 783 # 5009 @ 9408 @ 9792 # 7027 # 2708 # 7757 # 8544, where '#' is subtraction and '@' is addition. | -11062 | Statement: Perform the arithmetic operation represented by the symbols in the equation 783 # 5009 @ 9408 @ 9792 # 7027 # 2708 # 7757 # 8544, where '#' is subtraction and '@' is addition. Separately, evaluate 27 Γ 13 mod 8 as an independent check. | -11062 | {
"distractor_types_used": [
{
"description": "An independent arithmetic sub-problem (27 Γ 13 mod 8) is appended to the original task, requiring the solver to separate and handle two computations rather than one.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_increase": "Mo... |
Statement: Perform the following arithmetic operation where '@' represents '+' and '#' represents '-': 4299 @ 8856 # 8740 # 5677 @ 9658 | 8396 | Statement: Perform the following arithmetic operation where '@' represents '+' and '#' represents '-': 4299 @ 8856 # 8740 # 5677 @ 9658. As a separate exercise, also compute the product of the digits of 305 and report it alongside the main result. | 8396 | {
"distractor_types_used": [
{
"description": "An independent sub-problem (multiplying the digits of 305) is fused into the same sentence, requiring a model to separate and solve two tasks independently.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_increase": "Moderate β ... |
Statement: Perform the arithmetic operations represented by the symbols in the following equation: 721 # 2516 # 1064 # 6795 # 8278 # 6427, where '#' signifies subtraction. | -24359 | Statement: Perform the arithmetic operations represented by the symbols in the following equation: 721 # 2516 # 1064 # 6795 # 8278 # 6427, where '#' signifies subtraction. As a separate task β do not combine intermediate results with the subtraction above β also determine whether the integer 123456 is divisible by 3. | -24359 | {
"distractor_types_used": [
{
"description": "An independent sub-problem (a divisibility check) is fused into the main problem, requiring the solver to separate and solve two tasks independently.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_increase": "Moderate β increas... |
Statement: Calculate the result of the arithmetic operation 6687 @ 8847 @ 7854 @ 7251 where @ represents addition. | 30639 | Statement: Calculate the result of the arithmetic operation 6687 @ 8847 @ 7854 @ 7251 where @ represents addition (as a separate, independent check you may also compute the GCD of 1001 and 77, but do not include that result in your final answer). | 30639 | {
"distractor_types_used": [
{
"description": "An independent sub-problem (compute GCD of 1001 and 77) is fused into the main arithmetic task, requiring the solver to separate the two tasks and ignore the distractor when producing the requested final result.",
"name": "Compositional understanding"
... |
Statement: Calculate the result of the equation where '#' represents subtraction and '@' represents addition for the expression 9831 # 7503 # 7468 @ 6253. | 1113 | Statement: Calculate the result of the equation where '#' represents subtraction and '@' represents addition for the expression 9831 # 7503 # 7468 @ 6253. As a separate, independent task (which does not affect the computation above), also compute the sum of the digits of 7468. | 1113 | {
"distractor_types_used": [
{
"description": "An independent sub-problem (sum of digits of 7468) is fused into the main arithmetic problem, requiring the solver to separate the tasks and avoid combining their computations.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_inc... |
Statement: Perform the arithmetic operation defined by the symbols: 5954 # 8272 # 9178 # 9005 @ 8639, where '#' represents subtraction and '@' represents addition. | -11862 | Statement: Perform the arithmetic operation defined by the symbols: 5954 # 8272 # 9178 # 9005 @ 8639, where '#' represents subtraction and '@' represents addition. As an independent sub-problem (do not combine it with the expression above), evaluate 182 Γ 3; this secondary calculation is provided only for separate veri... | -11862 | {
"distractor_types_used": [
{
"description": "An independent arithmetic sub-problem (182 Γ 3) is fused into the prompt, requiring the solver to separate the tasks and avoid combining results.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_increase": "Medium β the added ind... |
Statement: Calculate the result of the arithmetic operation represented by the equation 2167 # 8760 # 4771 # 8633 @ 7929 @ 9784 @ 6892 where '#' means subtraction and '@' means addition. | 4608 | Statement: Calculate the result of the arithmetic operation represented by the equation 2167 # 8760 # 4771 # 8633 @ 7929 @ 9784 @ 6892 where '#' means subtraction and '@' means addition. As a separate, independent sub-problem, also compute the product of the digits of 8633. | 4608 | {
"distractor_types_used": [
{
"description": "An independent arithmetic sub-problem (product of digits of one operand) was fused into the main task, requiring the solver to separate and solve two tasks independently.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_increase"... |
Statement: Perform the arithmetic operation represented by the symbols '@' as addition and '#' as subtraction in the equation 1225 # 1988 # 1450 # 3833 # 4404 # 6286 # 2602 and return the answer. | -19338 | Statement: Perform the arithmetic operation represented by the symbols '@' as addition and '#' as subtraction in the equation 1225 # 1988 # 1450 # 3833 # 4404 # 6286 # 2602 and return the answer. As a separate and independent sub-problem (do not include its result in your final answer), compute the sum of the digits of... | -19338 | {
"distractor_types_used": [
{
"description": "An independent sub-problem (sum of digits of 9876) is fused into the main problem so the solver must separate and solve two tasks independently.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_increase": "Moderate β likely to mi... |
Statement: Calculate the result of the arithmetic expression 9331 @ 9007 @ 2374 # 2985 # 3994 @ 6865 @ 2114 @ 4601, where '@' represents addition and '#' represents subtraction. | 27313 | Statement: Calculate the result of the arithmetic expression 9331 @ 9007 @ 2374 # 2985 # 3994 @ 6865 @ 2114 @ 4601, where '@' represents addition and '#' represents subtraction. As a separate subtask (independent from the arithmetic expression), determine whether the product of the digits of 241 is even or odd. | 27313 | {
"distractor_types_used": [
{
"description": "An independent, separate sub-problem (parity of the product of digits of 241) is fused into the same prompt so the solver must separate the two tasks and not conflate them.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_increas... |
Statement: Perform the arithmetic operation where '#' represents subtraction and '@' represents addition in the equation 2620 - 8542 - 5080 + 9012 - 1148 - 390 + 914 and return the answer. | -2614 | Statement: Perform the arithmetic operation where '#' represents subtraction and '@' represents addition in the equation 2620 - 8542 - 5080 + 9012 - 1148 - 390 + 914 and return the answer. As a separate, independent subtask (do not combine with the main calculation), compute the product 37 Γ 12. | -2614 | {
"distractor_types_used": [
{
"description": "An independent arithmetic sub-problem (37 Γ 12) is fused into the prompt alongside the main calculation, requiring separation of tasks.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_increase": "Moderate β likely to confuse mid... |
Statement: sentence: stretching her back, the mother smiled at the daughter. pronoun: her. A) the mother B) the daughter | A | Statement: sentence: stretching her back, the mother smiled at the daughter. pronoun: her. A) the mother B) the daughter. Separate, unrelated question: A basket contains 7 apples and 3 are removed β how many apples remain? | A | {
"distractor_types_used": [
{
"description": "An independent arithmetic sub-problem is fused into the pronoun-resolution task so the solver must separate the two tasks and not let the added component interfere with core reference reasoning.",
"name": "Compositional understanding"
}
],
"estima... |
Statement: Choose which option the pronoun refers to. Sentence: Joe and Steve paid the detectives after they received the final report on the case. Pronoun: they. Options: (A) joe and steve (B) the detectives | A | Statement: Choose which option the pronoun refers to. Sentence: Joe and Steve paid the detectives after they received the final report on the case. Pronoun: they. Options: (A) joe and steve (B) the detectives. Also consider the independent sentence below. Statement: The city council and the mayor announced they will re... | A | {
"distractor_types_used": [
{
"description": "An independent, similarly structured pronoun coreference sub-problem (about a different sentence) is appended, forcing the solver to separate two parallel coreference tasks and avoid cross-contamination.",
"name": "Compositional understanding"
}
],
... |
Statement: Read the sentence and choose which option the pronoun refers to. Sentence: Pam's parents and father came home and found her having sex with her boyfriend, Paul. She was embarrassed about it. Pronoun: She. Options: (A) pam's parents (B) pam and paul | B | Statement: Read the sentence and choose which option the pronoun refers to. Sentence: Pam's parents and father came home and found her having sex with her boyfriend, Paul. She was embarrassed about it. Pronoun: She. Options: (A) pam's parents (B) pam and paul. Additionally, as a separate, unrelated mini-question, read ... | B | {
"distractor_types_used": [
{
"description": "An independent sub-problem (a separate grammatical classification task) is fused into the main pronoun resolution task, requiring the solver to separate the two tasks and ignore the irrelevant one when answering the original question.",
"name": "Compositi... |
Statement: Choose the referent for the pronoun 'he' in the sentence: hewlit gave hardy a lift to school so he wouldn't have to drive alone. Options: (A) Hewlit (B) hardy | A | Statement: Choose the referent for the pronoun 'he' in the sentence: hewlit gave hardy a lift to school so he wouldn't have to drive alone. Options: (A) Hewlit (B) hardy. Separately, as an unrelated sub-problem, what is 7 Γ 6? | A | {
"distractor_types_used": [
{
"description": "An independent arithmetic sub-problem (7 Γ 6) was fused into the original pronoun resolution task, requiring the solver to separate two unrelated tasks and avoid interference.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_incr... |
Statement: Sentence: Stretching their backs, the women smiled at the girls. Pronoun: their. Choose which option the pronoun refers to: (A) the women (B) the girls | A | Statement: Sentence: Stretching their backs, the women smiled at the girls. Pronoun: their. Choose which option the pronoun refers to: (A) the women (B) the girls. Additionally, solve this independent sub-problem: Statement: Sentence: Holding their books, the students walked into the hall. Pronoun: their. Choose which ... | A | {
"distractor_types_used": [
{
"description": "An independent pronoun-resolution sub-problem was fused into the original task so the solver must separate the two problems and resolve them independently.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_increase": "Moderate β r... |
Statement: Sentence: as cornelia in the crop duster passed over aria, she could see the landing gear. Pronoun: she. Options: A) cornelia B) aria | B | Statement: Sentence: as cornelia in the crop duster passed over aria, she could see the landing gear. Pronoun: she. Options: A) cornelia B) aria. In a separate, independent question about the same sentence, indicate whether the noun phrase "landing gear" is grammatically singular or plural. | Pronoun answer: B) aria. (Separate question) "landing gear" is treated as singular. | {
"distractor_types_used": [
{
"description": "Fused an independent grammatical-number sub-question (about 'landing gear') into the original pronoun-resolution problem, forcing the solver to separate and answer two distinct tasks.",
"name": "Compositional understanding"
}
],
"estimated_difficu... |
Statement: Read the sentence and choose which option the pronoun refers to.
Sentence: Emma and Julia did not pass the ball to Janie and Anne although they were open.
Pronoun: they
Options:
A) emma and julia
B) janie and anne | B | Statement: Read the sentence and choose which option the pronoun refers to.
Sentence: Emma and Julia did not pass the ball to Janie and Anne although they were open.
Pronoun: they
Options:
A) emma and julia
B) janie and anne
(Persistently unrelated task) Additionally, as a separate and independent question, how many d... | B | {
"distractor_types_used": [
{
"description": "Fused an independent sub-problem (counting proper names) into the main problem so a model must separate and solve two tasks independently.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_increase": "Moderate β the additional tas... |
Problem: Statement: Read the sentence and choose which option the pronoun refers to.
Sentence: they broadcast a message, but a metro came into the station and i couldn't hear over it.
Pronoun: it
Options: (A) the message (B) the metro
Solution: B | B | Problem: Statement: Read the sentence and choose which option the pronoun refers to.
Sentence: they broadcast a message, but a metro came into the station and i couldn't hear over it.
Pronoun: it
Options: (A) the message (B) the metro
As a separate exercise in the same prompt, consider the sentence: "The guard saw the... | B | {
"distractor_types_used": [
{
"description": "Fused an independent sub-problem (a separate PP-attachment/pronoun interpretation task) into the original prompt so the solver must separate and solve two analyses independently.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_i... |
Problem: Statement: Boredom and hunger led to a wandering waste of time and a cart full of unhealthy snacks during her trip to where?
(A) new moon
(B) play cards
(C) read book
(D) see art
(E) grocery shop
Choose the single best answer letter from A B C D E
Solution: E | E | Problem: Statement: Boredom and hunger led to a wandering waste of time and a cart full of unhealthy snacks during her trip to where?
(A) new moon
(B) play cards
(C) read book
(D) see art
(E) grocery shop
Choose the single best answer letter from A B C D E
As an additional, unrelated aside during that same outing she ... | E | {
"distractor_types_used": [
{
"description": "An independent arithmetic sub-problem (compute 15% of 80) was fused into the original multiple-choice question, forcing the solver to separate and handle two tasks independently.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_i... |
Problem: Statement: Sentence: as cornelia in the crop duster passed over aria, she could see the landing strip. Pronoun: she. Choices: A) cornelia B) aria
Solution: A | A | Problem: Statement: Sentence: as cornelia in the crop duster passed over aria, she could see the landing strip. Pronoun: she. Choices: A) cornelia B) aria. Additionally, as a separate independent sub-problem (do not use this to decide the pronoun), identify which noun is the object of the preposition 'over' in the clau... | A | {
"distractor_types_used": [
{
"description": "An independent sub-problem (identifying the object of the preposition 'over') was fused into the original pronoun-resolution task so the solver must separate the two tasks and not let the solution to one contaminate the other.",
"name": "Compositional und... |
Statement: Sentence: Ann and Sue asked Mary and Joan what time the library closes, because they had forgotten. Pronoun: they. Choose which option the pronoun refers to. Options: (A) ann and sue (B) mary and joan | A | Statement: Sentence: Ann and Sue asked Mary and Joan what time the library closes, because they had forgotten. Pronoun: they. Choose which option the pronoun refers to. Options: (A) ann and sue (B) mary and joan. Separately, as an independent sub-problem, indicate whether the clause "what time the library closes" funct... | A | {
"distractor_types_used": [
{
"description": "An independent syntactic classification task (is the embedded clause a noun direct object or an adverbial clause) was fused into the original pronoun-resolution problem, forcing the solver to separate two different analyses.",
"name": "Compositional under... |
Statement: Sentence: As Ollie and Johnny carried Tommy and Larry up the long winding steps, their legs ached. Pronoun: their. Choices: (A) ollie and johnny (B) tommy and larry | A | Statement: Sentence: As Ollie and Johnny carried Tommy and Larry up the long winding steps, their legs ached. Pronoun: their. Choices: (A) ollie and johnny (B) tommy and larry. Separate task (independent): How many distinct proper names (first names) appear in the sentence? Answer with the integer. | A | {
"distractor_types_used": [
{
"description": "An independent counting sub-problem (count distinct proper names) is fused into the original pronoun-resolution problem, requiring the solver to separate the two tasks and avoid conflating them.",
"name": "Compositional understanding"
}
],
"estima... |
Statement: Why would you take a bus to work? (A) commute (B) flying (C) get somewhere (D) travel (E) go home Select the single best answer from A, B, C, D, or E | A | Statement: Why would you take a bus to work? (A) commute (B) flying (C) get somewhere (D) travel (E) go home Select the single best answer from A, B, C, D, or E. Separately, suppose a commuter boards the bus twice a day for 5 days each week; how many individual bus rides will they take in 3 weeks? | A | {
"distractor_types_used": [
{
"description": "An independent arithmetic sub-problem about counting bus rides is fused into the multiple-choice question, requiring the solver to separate the two tasks.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_increase": "Moderate β in... |
Statement: Sentence: the fish ate the roundworm . it was hungry . Pronoun: it. Choose the referent from the options: A) the fish B) the roundworm | A | Statement: Sentence: the fish ate the roundworm . it was hungry . Pronoun: it. Choose the referent from the options: A) the fish B) the roundworm. Separately (independently of the pronoun task), consider the verb in the sentence "the fish ate the roundworm" β is the verb "ate" best classified as C) transitive or D) int... | A | {
"distractor_types_used": [
{
"description": "An independent sub-problem (verb transitivity classification) is fused into the original pronoun resolution task, requiring the solver to separate and handle two tasks independently.",
"name": "Compositional understanding"
}
],
"estimated_difficul... |
Statement: Question: Is that person acting as silly as a clown? Options: (A) make mistakes (B) ridiculous (C) have no home (D) mentally unhinged (E) schizophrenia. Choose the best answer from A, B, C, D, or E and respond with only the single letter. | B | Statement: As a separate, unrelated exercise, decide whether the word 'clown' in the sentence 'He acted like a clown in the parade' is being used literally or figuratively. Question: Is that person acting as silly as a clown? Options: (A) make mistakes (B) ridiculous (C) have no home (D) mentally unhinged (E) schizophr... | B | {
"distractor_types_used": [
{
"description": "Fused an independent sub-problem (determine whether 'clown' is used literally or figuratively) into the original prompt so the solver must separate and solve two tasks independently.",
"name": "Compositional understanding"
}
],
"estimated_difficul... |
Statement: Sentence: if the fraudster had succeeded in fooling terry , he would have gotten a lot of money . Pronoun: he. Which option does the pronoun refer to? Options: (A) the fraudster (B) terry | A | Statement: Sentence: if the fraudster had succeeded in fooling terry , he would have gotten a lot of money . Pronoun: he. Which option does the pronoun refer to? Options: (A) the fraudster (B) terry.
Separately, consider the unrelated sentence: "When Jordan confronted Sam about the missing laptop, he shrugged and said... | A | {
"distractor_types_used": [
{
"description": "An independent pronoun-resolution sub-problem is fused into the original item, requiring the solver to separate the two sentences and resolve the original antecedent independently of the added sentence.",
"name": "Compositional understanding"
}
],
... |
Statement: Find the longest substring that is a palindrome in the given string. A palindrome reads the same forwards and backwards. If multiple substrings have the same maximal length, return the first occurring one. If only palindromes of length 1 exist, return the first character. Input: qtrtqrrrrtqt
Solution: qtrtq | qtrtq | Statement: Find the longest substring that is a palindrome in the given string. A palindrome reads the same forwards and backwards. If multiple substrings have the same maximal length, return the first occurring one. If only palindromes of length 1 exist, return the first character. Input: qtrtqrrrrtqt
As a separate, ... | qtrtq | {
"distractor_types_used": [
{
"description": "An independent counting subtask (distinct-character count and a simple equality check) is fused into the problem text, requiring the solver to separate the two tasks and avoid conflating results.",
"name": "Compositional understanding"
}
],
"estim... |
Statement: Find the longest substring of the input string that is a palindrome. A palindrome reads the same forwards and backwards. If multiple substrings have the maximum length, return the one that appears first. If the only palindromes are single characters, return the first character. Input string: pzzpszssppp | pzzp | Statement: Find the longest substring of the input string that is a palindrome. A palindrome reads the same forwards and backwards. If multiple substrings have the maximum length, return the one that appears first. If the only palindromes are single characters, return the first character. Input string: pzzpszssppp. Add... | pzzp | {
"distractor_types_used": [
{
"description": "An independent sub-problem (longest substring without repeating characters) was fused into the original palindrome-finding task, forcing the solver to separate and solve two algorithmic subtasks.",
"name": "Compositional understanding"
}
],
"estim... |
Statement: You will be given a string and must find the longest substring that is a palindrome. A palindrome reads the same forwards and backwards. If the shortest possible palindrome is length 1, return the first character. Input: reerrexrex | reer | Statement: You will be given a string and must find the longest substring that is a palindrome. A palindrome reads the same forwards and backwards. If the shortest possible palindrome is length 1, return the first character. As an additional, independent subtask, determine the longest substring of the same input that c... | reer | {
"distractor_types_used": [
{
"description": "An independent secondary subtask (longest substring with all unique characters) is fused into the original problem, forcing the solver to separate and solve two tasks rather than focusing only on the palindromic substring.",
"name": "Compositional underst... |
Statement: Given the string rmrmmyryrmymmm, find the longest substring that is a palindrome (a string that reads the same forwards and backwards). If multiple substrings share the longest length return the leftmost one. If the shortest possible palindrome is length 1 return the first character. | rmr | Statement: Given the string rmrmmyryrmymmm, find the longest substring that is a palindrome (a string that reads the same forwards and backwards). If multiple substrings share the longest length return the leftmost one. If the shortest possible palindrome is length 1 return the first character. As a separate, independe... | rmr | {
"distractor_types_used": [
{
"description": "An independent sub-problem (finding the longest substring with no identical adjacent characters) was fused into the original palindrome task, requiring the solver to separate the two tasks and avoid using the auxiliary result when solving the main task.",
... |
Statement: Given the string qrgrqqrqgqggrr, find the longest substring that is a palindrome (reads the same forwards and backwards). If the shortest possible palindrome is length 1, return the first character. Return only the substring. | qrgrq | Statement: Given the string qrgrqqrqgqggrr, find the longest substring that is a palindrome (reads the same forwards and backwards). If the shortest possible palindrome is length 1, return the first character. Return only the substring. Separately, as an independent sub-problem, consider the unrelated string "gqrrqg" β... | qrgrq | {
"distractor_types_used": [
{
"description": "An independent sub-problem (count distinct characters in a different string) was fused into the original task, requiring the solver to separate the two tasks and not let the added task influence the palindrome answer.",
"name": "Compositional understandin... |
Statement: Given a string, find the longest substring that is a palindrome. A palindrome reads the same forwards and backwards. If the shortest possible palindrome is length 1, return the first character of the input. Input: kkskkkssss | kkskk | Statement: Given a string, find the longest substring that is a palindrome. A palindrome reads the same forwards and backwards. If the shortest possible palindrome is length 1, return the first character of the input. As a secondary task (independent of the palindrome task), report the length of the longest consecutive... | kkskk | {
"distractor_types_used": [
{
"description": "Fused an independent sub-problem (compute the length of the longest run of identical characters) into the main problem so the solver must separate and solve two tasks independently.",
"name": "Compositional understanding"
}
],
"estimated_difficult... |
Statement: Given the string llmmddllll, find the longest substring that is a palindrome. A palindrome reads the same forwards and backwards. If the shortest possible palindrome is length 1 return the first character. | llll | Statement: Given the string llmmddllll, find the longest substring that is a palindrome. A palindrome reads the same forwards and backwards. If the shortest possible palindrome is length 1 return the first character. Separately (as an independent sub-problem), what is the length of the longest substring of llmmddllll t... | llll | {
"distractor_types_used": [
{
"description": "An independent sub-problem (longest substring with all distinct characters) is fused into the original task, requiring the solver to separate and solve both tasks independently.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_in... |
Statement: Given the input string hmffhfmfhffmh, find the longest substring that is a palindrome. A palindrome reads the same forwards and backwards. If the shortest possible palindrome is length 1 return the first character. | hmffhfmfhffmh | Statement: Given the input string hmffhfmfhffmh, find the longest substring that is a palindrome. A palindrome reads the same forwards and backwards. If the shortest possible palindrome is length 1 return the first character. Additionally (independently from the palindrome task), determine the length of the longest sub... | hmffhfmfhffmh | {
"distractor_types_used": [
{
"description": "An independent sub-problem (longest substring without repeating characters) is fused into the original palindrome task so the solver must separate the two tasks and not conflate their solutions.",
"name": "Compositional understanding"
}
],
"estima... |
Statement: You are given the task: find the longest substring of the input that is a palindrome (a string that reads the same forwards and backwards). If the shortest possible palindrome is length 1, return the first character. Input string: xwcwxwccxxw | xwcwx | Statement: You are given the task: find the longest substring of the input that is a palindrome (a string that reads the same forwards and backwards). If the shortest possible palindrome is length 1, return the first character. Input string: xwcwxwccxxw. As a separate, independent sub-problem, also determine how many t... | xwcwx | {
"distractor_types_used": [
{
"description": "An independent counting subtask (count occurrences of 'xw') is fused into the original longest-palindrome task, forcing the solver to separate and solve two independent problems.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_i... |
Statement: Find the longest substring that is a palindrome in the given string. A palindrome reads the same forwards and backwards. If the shortest possible palindrome is length 1 return the first character. Input: eqweqwweeeqq | eee | Statement: Find the longest substring that is a palindrome in the given string. A palindrome reads the same forwards and backwards. If the shortest possible palindrome is length 1 return the first character. Also, determine the length of the longest substring consisting of identical characters (a contiguous run) in the... | eee | {
"distractor_types_used": [
{
"description": "An independent sub-problem (finding the longest run of identical characters) is fused into the original task, requiring the solver to separate and solve two tasks independently.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_in... |
Statement: Given the string ttmtmtmfmmff, find the longest substring that is a palindrome (a palindrome reads the same forwards and backwards). If multiple palindromic substrings share the maximum length, return the one that appears first. If the shortest possible palindrome is length 1, return the first character. | tmtmt | Statement: Given the string ttmtmtmfmmff, find the longest substring that is a palindrome (a palindrome reads the same forwards and backwards). If multiple palindromic substrings share the maximum length, return the one that appears first. If the shortest possible palindrome is length 1, return the first character. Sep... | tmtmt | {
"distractor_types_used": [
{
"description": "An independent counting sub-problem (count 'm' occurrences) is fused into the main palindrome-finding problem, requiring the solver to separate the two tasks and avoid conflating them.",
"name": "Compositional understanding"
}
],
"estimated_diffic... |
Statement: Given the string voooooovoo, find the longest substring that is a palindrome. A palindrome reads the same forwards and backwards. If the shortest possible palindrome is length 1, return the first character. Return only the substring itself. | voooooov | Statement: Given the string voooooovoo, find the longest substring that is a palindrome. A palindrome reads the same forwards and backwards. If the shortest possible palindrome is length 1, return the first character. Additionally, as a separate sub-problem on the same input, determine the number of contiguous runs of ... | voooooov | {
"distractor_types_used": [
{
"description": "An independent sub-problem (counting runs of 'o' and longest run length) is fused into the main palindrome-finding problem, requiring the solver to separate tasks.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_increase": "Mode... |
Statement: Given the string 'fkkfxxkkxkffk', find the longest substring that is a palindrome. If multiple substrings share the maximal length, return the leftmost one. If the shortest possible palindrome is length 1 return the first character. | fkkf | Statement: Given the string 'fkkfxxkkxkffk', find the longest substring that is a palindrome. If multiple substrings share the maximal length, return the leftmost one. If the shortest possible palindrome is length 1 return the first character. As a separate task, determine the length of the longest run of consecutive '... | fkkf | {
"distractor_types_used": [
{
"description": "An independent sub-problem (finding the longest run of consecutive 'k's) is fused into the original question, forcing the solver to separate and solve two tasks.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_increase": "Modera... |
Statement: Given the string jjhjjhjjmmmjj, find the longest substring that is a palindrome. A palindrome reads the same forwards and backwards. If the longest palindrome has length 1, return the first character. Return only the substring. | jjhjjhjj | Statement: Given the string jjhjjhjjmmmjj, find the longest substring that is a palindrome. A palindrome reads the same forwards and backwards. If the longest palindrome has length 1, return the first character. Return only the substring. Separately (as an independent sub-problem), determine whether the string formed b... | jjhjjhjj | {
"distractor_types_used": [
{
"description": "An independent sub-problem (check whether the string with all 'j' removed is a palindrome) is fused into the original task, requiring the solver to separate and solve two tasks independently.",
"name": "Compositional understanding"
}
],
"estimated... |
Statement: Find the longest substring that is a palindrome in the given string. A palindrome reads the same forwards and backwards. If the longest palindrome is length 1, return the first character of the string. Input string: yyuuyssuuy | yuuy | Statement: Find the longest substring that is a palindrome in the given string. A palindrome reads the same forwards and backwards. If the longest palindrome is length 1, return the first character of the string. Additionally, as a separate task (independent from the palindrome problem), determine the length of the lon... | yuuy | {
"distractor_types_used": [
{
"description": "A separate sub-task (find the longest run of identical characters) is fused into the main question so the solver must separate the two problems and not conflate answers.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_increase":... |
Statement: Given the string njnznznnjz, find the longest substring that is a palindrome. A palindrome reads the same forwards and backwards. If the shortest possible palindrome is length 1 return the first character. | nznzn | Statement: Given the string njnznznnjz, find the longest substring that is a palindrome. A palindrome reads the same forwards and backwards. If the shortest possible palindrome is length 1 return the first character. As a separate, independent subproblem (do not mix results), also count the number of distinct palindrom... | nznzn | {
"distractor_types_used": [
{
"description": "An independent subproblem (count distinct palindromic substrings) was fused into the original task, requiring the solver to separate the two tasks and avoid conflating results.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_inc... |
Statement: in a game you start with 2 lives . if you got 6 extra lives in the first level and 11 more in the second how many lives would you have ? | 19 | Statement: in a game you start with 2 lives . if you got 6 extra lives in the first level and 11 more in the second how many lives would you have ? Separately, on a different playthrough you collected 8 coins in level one and 12 coins in level two; how many coins would you have on that run? | 19 | {
"distractor_types_used": [
{
"description": "An independent arithmetic sub-problem (coin collection) is fused into the original problem, requiring the solver to separate two independent sums and answer the lives question without being distracted by the coin sum.",
"name": "Compositional understandin... |
Statement: At the arcade Dave won 11 tickets. He spent 5 tickets on a beanie and later won 10 more tickets. How many tickets does he have now? | 16 | Statement: At the arcade Dave won 11 tickets. He spent 5 tickets on a beanie and later won 10 more tickets. Meanwhile, at the snack stand he bought 3 sodas for $2.50 each and paid with a $10 bill β how much change should he get? How many tickets does he have now? | 16 | {
"distractor_types_used": [
{
"description": "An independent arithmetic sub-problem (snack purchase/change) was fused into the main ticket-count problem, requiring the solver to separate the two calculations.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_increase": "Moder... |
Statement: robert wants to practice goal kicks for soccer. he decides to have 98 kicks before going home from the park. he takes 43 kicks before taking a break to get a drink of water. he then takes another 36 kicks. how many more kicks does he need to make before he goes home? | 19 | Statement: robert wants to practice goal kicks for soccer. he decides to have 98 kicks before going home from the park. he takes 43 kicks before taking a break to get a drink of water. while resting, he also plans to practice penalty kicks during the same outing and has already taken 8 out of a planned 20 penalty kicks... | 19 | {
"distractor_types_used": [
{
"description": "An independent subtraction sub-problem (penalty kicks planned vs. taken) is fused into the main narrative so the solver must separate the irrelevant sub-problem from the main goal-kick calculation.",
"name": "Compositional understanding"
}
],
"est... |
Statement: There were 86 trees in a park. 15 of them died and another 23 of them were cut. How many trees were still left? | 48 | Statement: There were 86 trees in a park. 15 of them died and another 23 of them were cut. In the nearby parking lot there were 40 cars; 6 left and 10 more arrived. How many trees were still left? | 48 | {
"distractor_types_used": [
{
"description": "An independent arithmetic sub-problem (car counts) was fused into the same text so the solver must separate the two tasks and ignore the irrelevant calculation when answering the tree question.",
"name": "Compositional understanding"
}
],
"estimat... |
Statement: Nancy had 43 files on her computer. She deleted 31 of them and put the rest into folders with 6 files in each one. How many folders did Nancy end up with? | 2 | Statement: Nancy had 43 files on her computer. She deleted 31 of them and put the rest into folders with 6 files in each one. (Separately, while organizing she also counted a stack of 15 screenshots she had collected on another drive and wondered how many 4-image albums she could make from them.) How many folders did N... | 2 | {
"distractor_types_used": [
{
"description": "An independent arithmetic sub-problem (about screenshots and albums) is fused into the main scenario, so the solver must separate the two tasks and focus on the relevant quantities for the original question.",
"name": "Compositional understanding"
}
... |
Statement: Kaleb bought 14 boxes of chocolate candy and gave 5 to his little brother. If each box has 6 pieces inside it how many pieces did Kaleb still have? | 54 | Statement: Kaleb bought 14 boxes of chocolate candy and gave 5 to his little brother. If each box has 6 pieces inside it how many pieces did Kaleb still have? Meanwhile, his sister had 21 mints and wanted to divide them evenly among 4 friends; how many mints would each friend get? | 54 | {
"distractor_types_used": [
{
"description": "An independent, unrelated sub-problem (splitting 21 mints among 4 friends) is fused into the main problem, requiring the solver to separate the two tasks and focus on the original candy-count question.",
"name": "Compositional understanding"
}
],
... |
Statement: They were asked to make 500 pieces of fish fillets. The first team made 189 pieces and the second team made 131 pieces. How many pieces should the third team make? | 180 | Statement: They were asked to make 500 pieces of fish fillets. The first team made 189 pieces and the second team made 131 pieces. Separately, the quality-control team needs to randomly select 24 fillets from a different batch of 320 for testing before shipping; this selection is unrelated to the teams' production. How... | 180 | {
"distractor_types_used": [
{
"description": "Fused an independent sub-problem (quality-control selection from a different batch) into the original problem so the solver must separate and ignore irrelevant details to answer the main question.",
"name": "Compositional understanding"
}
],
"esti... |
Statement: Professor Treehead of the Flora University asked his students to participate. They planted 15 species of trees in the natural park, 20 species of trees in the neighboring forest, and 10 species of trees in various locations around town. How many species of trees were planted by the students? | 45 | Statement: Professor Treehead of the Flora University asked his students to participate. They planted 15 species of trees in the natural park, 20 species of trees in the neighboring forest, and 10 species of trees in various locations around town. As a separate budgeting exercise, the students estimated that on average... | 45 | {
"distractor_types_used": [
{
"description": "An independent sub-problem (estimating saplings per species) is fused into the main problem, requiring the solver to separate the two tasks and ignore the irrelevant calculation when answering the original question.",
"name": "Compositional understanding"... |
Statement: Paul made 44 dollars mowing lawns and 28 dollars weed eating. If he only spent 9 dollars a week how long would the money last him? | 8 | Statement: Paul made 44 dollars mowing lawns and 28 dollars weed eating. If he only spent 9 dollars a week how long would the money last him? Separately, his friend bought 3 notebooks for $12; how much did each notebook cost? | 8 | {
"distractor_types_used": [
{
"description": "An independent arithmetic sub-problem (cost per notebook) was fused into the original problem, requiring the solver to separate and solve two independent calculations.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_increase": "... |
Statement: tom read 2 books in may 6 in june and 10 in july . how many books did tom read ? | 18 | Statement: tom read 2 books in may 6 in june and 10 in july . Separately, the local library received 5 new books and 3 were checked out that afternoon; how many of the new books remained in the library? how many books did tom read ? | 18 | {
"distractor_types_used": [
{
"description": "An independent arithmetic sub-problem about library books is fused into the problem, requiring the solver to separate two independent questions and focus on the one asking about Tom.",
"name": "Compositional understanding"
}
],
"estimated_difficul... |
Statement: Upon finishing the treehouse Charlie's mother served them freshly baked cookies. If Charlie ate 15 cookies his father ate 10 and his mother only ate 5 how many cookies were eaten in total | 30 | Statement: Upon finishing the treehouse Charlie's mother served them freshly baked cookies. If Charlie ate 15 cookies his father ate 10 and his mother only ate 5, and separately Charlie had 7 marbles which he then gave 2 marbles to each of his two friends, how many cookies were eaten in total | 30 | {
"distractor_types_used": [
{
"description": "An independent numeric sub-problem (marbles distribution) is fused into the same sentence so the solver must separate the two scenarios and answer only the cookies question.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_increa... |
Statement: there are 54 passengers on a bus . 18 of them are men 26 of them are women and the rest are children . how many children are there on the bus ? | 10 | Statement: there are 54 passengers on a bus . 18 of them are men 26 of them are women and the rest are children . how many children are there on the bus ? Separately, at the same stop a nearby shuttle with 12 seats had 9 passengers aboard β what fraction of that shuttle's seats were occupied? | 10 | {
"distractor_types_used": [
{
"description": "An independent sub-problem (shuttle seat occupancy) is fused into the original question, forcing the solver to separate and solve two tasks independently.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_increase": "Moderate β li... |
Statement: the ice rink has 85 pairs of skates to rent. 18 people rented skates when the ice rink opened. 25 more people rented skates during the first hour. how many pairs of skates are left? | 42 | Statement: the ice rink has 85 pairs of skates to rent. 18 people rented skates when the ice rink opened. 25 more people rented skates during the first hour. At a nearby rink (independent of this one) there are 30 pairs and 15 were rented during the same times. How many pairs of skates are left at the original rink? | 42 | {
"distractor_types_used": [
{
"description": "An independent sub-problem about a nearby rink's inventory and rentals is fused into the main problem, requiring the solver to separate the two contexts and ignore the irrelevant numbers when answering about the original rink.",
"name": "Compositional und... |
Statement: a chef served 3 different foods for a banquet : 25 plates lobster rolls 14 plates of spicy hot noodles and 16 plates of seafood noodles . how many plates of food did the chef make altogether ? | 55 | Statement: a chef served 3 different foods for a banquet : 25 plates lobster rolls 14 plates of spicy hot noodles and 16 plates of seafood noodles . At the same banquet the pastry chef also boxed 36 petit fours into boxes of 6 as a separate task β how many boxes were filled? How many plates of food did the chef make al... | 55 | {
"distractor_types_used": [
{
"description": "An independent arithmetic sub-problem (boxing petit fours) is fused into the problem, requiring the solver to separate the two tasks and avoid mixing quantities.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_increase": "Modera... |
Statement: Next food item she has to prepare is soup. She needs 280 cups of mushroom soup. If the first team made 90 cups and the third team made 70 cups how many cups should the second team prepare in order to meet the required amount of soup? | 120 | Statement: Next food item she has to prepare is soup. She needs 280 cups of mushroom soup. If the first team made 90 cups and the third team made 70 cups how many cups should the second team prepare in order to meet the required amount of soup? Separately, for serving logistics, bowls are sold in boxes of 12 and she wa... | 120 | {
"distractor_types_used": [
{
"description": "An independent sub-problem about purchasing bowls (boxes of 12 with 15% extra) is fused into the original soup quantity problem, forcing the solver to separate the two tasks.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_incre... |
Statement: Faye's team scored 68 points in total. Faye scored 28 points. Everyone else scored 8 points each. How many other players were on her team? | 5 | Statement: Faye's team scored 68 points in total. Faye scored 28 points. Everyone else scored 8 points each. How many other players were on her team? As a separate, unrelated exercise, if another team currently has 12 points and plans to add additional players who each score 8 points until that team's total reaches exa... | 5 | {
"distractor_types_used": [
{
"description": "An independent sub-problem (about a different team's recruitment to reach 100 points) is fused into the original problem, requiring the solver to separate the two tasks and not let the extra calculation interfere with answering the original question.",
"n... |
Statement: You will be given a context and a verb. Decide whether the verb can be anchored in the real timeline (happened in the past, is happening now, or is guaranteed to happen in the future). Context: Another suspect is awaiting extradition from Britain. The FBI (says) Bin Laden is the leader of a terrorist organiz... | Yes | Statement: You will be given a context and a verb. Decide whether the verb can be anchored in the real timeline (happened in the past, is happening now, or is guaranteed to happen in the future). Context: Another suspect is awaiting extradition from Britain. The FBI (says) Bin Laden is the leader of a terrorist organiz... | Yes | {
"distractor_types_used": [
{
"description": "An independent sub-problem (judging the tense/aspect of 'is awaiting') was fused into the main problem so the solver must separate two tense-anchoring judgments and focus on the correct target verb 'says'.",
"name": "Compositional understanding"
}
]... |
Problem: Statement: Context: Slepian was killed by a single gunshot fired from a wooded area through a window of his home. Kopp purports to be a devout Roman Catholic, and the majority of jobs he has (held) over the past 20 years have been related to the anti-abortion movement, the U.S. Justice Department said last yea... | Yes | Problem: Statement: Context: Slepian was killed by a single gunshot fired from a wooded area through a window of his home. Kopp purports to be a devout Roman Catholic, and the majority of jobs he has (held) over the past 20 years have been related to the anti-abortion movement, the U.S. Justice Department said last yea... | Yes | {
"distractor_types_used": [
{
"description": "An independent sub-problem about the temporal interpretation of a phrase was fused into the main problem, requiring the solver to separate tasks (verb anchoring vs. interval interpretation).",
"name": "Compositional understanding"
}
],
"estimated_... |
Statement: Context: If a court edict fails to compel compliance, the Justice Department will have to consider sterner measures, for the relatives will then be resisting the rule of law as defined by both the department and the courts. But Washington ought not to rush to (take) Elian forcibly from the relatives.
Verb: t... | No | Statement: Context: If a court edict fails to compel compliance, the Justice Department will have to consider sterner measures, for the relatives will then be resisting the rule of law as defined by both the department and the courts. But Washington ought not to rush to (take) Elian forcibly from the relatives.
Verb: t... | No | {
"distractor_types_used": [
{
"description": "An independent sub-problem (assessing anchoring of a different verb phrase) is fused into the main problem so the solver must separate the two analyses.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_increase": "Moderate β the ... |
Problem: Statement: Context: Gonzalez's second letter to Reno in two weeks was published in Granma on Tuesday. I formally object to the legal moves made or being made by those who are arbitrarily retaining Elian, Gonzalez said in the letter, (dated) Monday. Verb: dated. Question: Can this verb be anchored in the real t... | Yes | Problem: Statement: Context: Gonzalez's second letter to Reno in two weeks was published in Granma on Tuesday. I formally object to the legal moves made or being made by those who are arbitrarily retaining Elian, Gonzalez said in the letter, (dated) Monday. (Separately, a reader might diagnose whether the phrase "is ar... | Yes | {
"distractor_types_used": [
{
"description": "An independent diagnostic about the temporal interpretation of a different verb phrase ('is arbitrarily retaining Elian') is fused into the same context, forcing the solver to separate two temporal-analysis subproblems.",
"name": "Compositional understand... |
Statement: Task: You are given a context and a verb. A verb can be anchored in the real timeline if and only if it happened in the past, is happening now, or is guaranteed to happen in the future. Return Yes if the verb can be anchored in time and No otherwise. Context: The concern in Cuba always has been that if Gonza... | No | Statement: Task: You are given a context and a verb. A verb can be anchored in the real timeline if and only if it happened in the past, is happening now, or is guaranteed to happen in the future. Return Yes if the verb can be anchored in time and No otherwise. Context: The concern in Cuba always has been that if Gonza... | No | {
"distractor_types_used": [
{
"description": "An independent, linguistics-focused sub-problem (adverb attachment of \"immediately\") was fused into the context so the solver must separate the primary anchoring task from this side question.",
"name": "Compositional understanding"
}
],
"estimat... |
Statement: Determine whether the given verb can be anchored in the real timeline. A verb can be anchored in the real timeline if and only if the action described happened in the past, is happening now, or is guaranteed to happen in the future. Return Yes if it can be anchored and No otherwise.
Context: A new ABC News-... | No | Statement: Determine whether the given verb can be anchored in the real timeline. A verb can be anchored in the real timeline if and only if the action described happened in the past, is happening now, or is guaranteed to happen in the future. Return Yes if it can be anchored and No otherwise.
Context: A new ABC News-... | No | {
"distractor_types_used": [
{
"description": "An independent sub-problem (an additional parenthetical verb and a note about interpreting the poll) is fused into the context, requiring the solver to separate the tasks of interpreting the poll-language and anchoring the target verb.",
"name": "Composit... |
Problem: Statement: You are given a context sentence and a target verb. Decide whether the verb can be anchored in the real timeline (i.e., whether it happened in the past, is happening now, or is guaranteed to happen in the future). Context: The two bombings happened only minutes apart, apparently with the U.S. embass... | B | Problem: Statement: You are given a context sentence and a target verb. Decide whether the verb can be anchored in the real timeline (i.e., whether it happened in the past, is happening now, or is guaranteed to happen in the future). Context: The two bombings happened only minutes apart, apparently with the U.S. embass... | B | {
"distractor_types_used": [
{
"description": "Inserted an independent subtask (noun number identification) alongside the original temporal anchoring task, forcing the solver to separate and solve two different linguistic analyses.",
"name": "Compositional understanding"
}
],
"estimated_diffic... |
Statement: Decide whether the given verb can be anchored in time (happened in the past, is happening now, or is guaranteed to happen in the future) based on the following context: "Who's to say that he's better off at Disney World and eating fast food here instead if breathing the fresh air of Cuba. Eric Pichardo, 44, ... | No | Statement: Decide whether the given verb can be anchored in time (happened in the past, is happening now, or is guaranteed to happen in the future) based on the following context: "Who's to say that he's better off at Disney World and eating fast food here instead if breathing the fresh air of Cuba. Eric Pichardo, 44, ... | No | {
"distractor_types_used": [
{
"description": "An independent sub-problem (identifying the morphological/mood category of 'follow') is fused into the original temporal-anchoring task, requiring the solver to separate the two analyses.",
"name": "Compositional understanding"
}
],
"estimated_dif... |
Statement: You are given a context and a verb. Determine whether the verb can be anchored in the real timeline: that is, whether the verb denotes an action that happened in the past, is happening now, or is guaranteed to happen in the future. Return Yes if the verb can be anchored in time and No otherwise. Context: The... | Yes | Statement: You are given a context and a verb. Determine whether the verb can be anchored in the real timeline: that is, whether the verb denotes an action that happened in the past, is happening now, or is guaranteed to happen in the future. Return Yes if the verb can be anchored in time and No otherwise. Context: The... | Yes | {
"distractor_types_used": [
{
"description": "An independent sub-problem about a different verb ('scanned') was fused into the original task, requiring the solver to separate the two questions and answer them independently.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_in... |
Problem: Statement: Definition: A verb can be anchored in the real timeline if and only if it happened in the past, is happening now, or is guaranteed to happen in the future. Context: "But Washington ought not to rush to take Elian forcibly from the relatives. That course would be psychologically wounding to the boy, ... | No | Problem: Statement: Definition: A verb can be anchored in the real timeline if and only if it happened in the past, is happening now, or is guaranteed to happen in the future. Context: "But Washington ought not to rush to take Elian forcibly from the relatives. That course would be psychologically wounding to the boy, ... | No | {
"distractor_types_used": [
{
"description": "An independent annotation subtask about the aspect of a different verb ('gather') is fused into the main problem, requiring the solver to separate two analyses (temporal anchoring of 'lead' vs. aspect classification of 'gather').",
"name": "Compositional ... |
Statement: Context: The core issue here is the bond between the parent and the child. The decision was met with outrage by Cuban-Americans, who said the youngster will (suffer) under the repressive communist regime of Fidel Castro.
Verb: suffer
Question: Can this verb be anchored in the real timeline (i.e., did it happ... | No | Statement: Context: The core issue here is the bond between the parent and the child. The decision was met with outrage by Cuban-Americans, who said the youngster will (suffer) under the repressive communist regime of Fidel Castro. As a separate task, determine whether the clause 'The decision was met with outrage' is ... | No | {
"distractor_types_used": [
{
"description": "An independent syntactic classification task (identify active vs passive voice for a separate clause) is fused into the example, forcing the solver to separate two sub-problems: (A) decide voice for a different clause, and (B) judge temporal anchoring of the ta... |
Problem: Statement: Context: The 11th U.S. Circuit Court of Appeals in Atlanta has been asked by the U.S. government to suspend a ruling by one of its judges that prevents the removal of Elian from the country. Such a decision would allow the U.S. government to push for the 6-year-old boy's swift reunion in Washington ... | No | Problem: Statement: Context: The 11th U.S. Circuit Court of Appeals in Atlanta has been asked by the U.S. government to suspend a ruling by one of its judges that prevents the removal of Elian from the country. Such a decision would allow the U.S. government to push for the 6-year-old boy's swift reunion in Washington ... | No | {
"distractor_types_used": [
{
"description": "An independent sub-problem (counting words in the name) is fused into the original task, requiring the solver to separate and solve two unrelated subtasks.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_increase": "Moderate β t... |
Statement: You will be given a context and a verb and must answer Yes if the verb can be anchored in the real timeline (the action happened in the past, is happening now, or is guaranteed to happen in the future) and No otherwise. Context: The Canadian warrant issued Monday charged Kopp with attempted murder in the 199... | Yes | Statement: You will be given a context and a verb and must answer Yes if the verb can be anchored in the real timeline (the action happened in the past, is happening now, or is guaranteed to happen in the future) and No otherwise. As an additional, independent check fused into the same prompt, you should also note whet... | Yes | {
"distractor_types_used": [
{
"description": "Fused an independent binary sub-problem (does the context mention any fatalities?) into the original temporal anchoring task, so the solver must separate and solve two independent judgments.",
"name": "Compositional understanding"
}
],
"estimated_... |
Statement: Task: Determine whether the given verb in the provided context can be anchored in the real timeline (happened in the past, happening now, or guaranteed to happen in the future). Answer Yes if it can be anchored, No otherwise.
Context: Terrorist bombings at U.S. embassies in Kenya and Tanzania blew apart buil... | Yes | Statement: Task: Determine whether the given verb in the provided context can be anchored in the real timeline (happened in the past, happening now, or guaranteed to happen in the future). Answer Yes if it can be anchored, No otherwise.
Context: Terrorist bombings at U.S. embassies in Kenya and Tanzania blew apart buil... | Yes | {
"distractor_types_used": [
{
"description": "An independent grammatical-role identification subtask was fused into the main timeline-anchoring task, forcing the solver to separate two analyses (temporal anchoring vs. syntactic role).",
"name": "Compositional understanding"
}
],
"estimated_di... |
Statement: Context: Tanzanian police said on Tuesday they had arrested 14 foreigners in their search for bombers. The 14 foreigners, six Iraqis, six Sudanese, a Somali national and a Turk, were rounded up because they failed to (explain) their presence in the country satisfactorily. Verb: explain. Task: Decide whether ... | No | Statement: Context: Tanzanian police said on Tuesday they had arrested 14 foreigners in their search for bombers. The 14 foreigners, six Iraqis, six Sudanese, a Somali national and a Turk, were rounded up because they failed to (explain) their presence in the country satisfactorily. Separate subtask (independent): Coun... | No | {
"distractor_types_used": [
{
"description": "An independent sub-problem (counting distinct nationalities) is fused into the main task, forcing the solver to separate two different reasoning tracks.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_increase": "Moderate β the ... |
Statement: Task: Decide whether the given verb in the sentence can be anchored in the real timeline (i.e., it happened in the past, is happening now, or is guaranteed to happen in the future). Answer 'Yes' if it can be anchored, 'No' otherwise.
Context sentence: Another reason was the location _ a quiet tree-lined nei... | Yes | Statement: Task: Decide whether the given verb in the sentence can be anchored in the real timeline (i.e., it happened in the past, is happening now, or is guaranteed to happen in the future). Answer 'Yes' if it can be anchored, 'No' otherwise.
Context sentence: Another reason was the location _ a quiet tree-lined nei... | Yes | {
"distractor_types_used": [
{
"description": "An independent subtask (counting adjectives) is fused into the original task, forcing the solver to separate and solve two different problems: timeline anchoring for a verb and a surface-level POS-counting task.",
"name": "Compositional understanding"
... |
Statement: In base 11, what is -37 + 35? | -2 | Statement: In base 11, what is -37 + 35? As a separate check (solve this independently and do not include its result in your final answer), compute the digit-sum of 37 (base 11) and write that digit-sum in base 11. Give only the result of the original addition. | -2 | {
"distractor_types_used": [
{
"description": "An independent small sub-problem (compute the digit-sum of 37 in base 11 and write it in base 11) is fused into the main question so the solver must separate the two tasks and not let the auxiliary calculation affect the primary answer.",
"name": "Composi... |
Statement: Let t(d) be the third derivative of -1/60*d**5 - 1/2*d**3 + 0*d + 0 - d**2 - 1/4*d**4. Let p be t(-4). Solve f - 12 = p*f for f. | -3 | Statement: Let t(d) be the third derivative of -1/60*d**5 - 1/2*d**3 + 0*d + 0 - d**2 - 1/4*d**4. Let p be t(-4). Solve f - 12 = p*f for f. Separately, for practice, let q(x) = 5*x - 7 and compute q(3). | -3 | {
"distractor_types_used": [
{
"description": "An independent sub-problem (compute q(3)) is fused into the main problem so the solver must separate two tasks and avoid mixing their computations.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_increase": "Moderate β the extra... |
Statement: Let h = -126 + 131. Solve -v - h + 0 = 0 for v. | -5 | Statement: Let h = -126 + 131. Solve -v - h + 0 = 0 for v. Separately, evaluate m = 17 - 3 * 4 and report m. | -5 | {
"distractor_types_used": [
{
"description": "An independent arithmetic sub-problem (evaluate m = 17 - 3 * 4) was fused into the original problem, requiring the solver to separate two tasks.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_increase": "Moderate β introduces a... |
Statement: Convert 10242.21 milligrams to nanograms. Provide only the numeric final answer as an integer (no commas, no units). | 10242210000 | Statement: As a quick sanity check, first compute 7 Γ 13. Then convert 10242.21 milligrams to nanograms. Provide only the numeric final answer as an integer (no commas, no units). | 10242210000 | {
"distractor_types_used": [
{
"description": "An independent arithmetic sub-problem (compute 7 Γ 13) is fused into the original conversion task, requiring the solver to separate the two tasks and ignore the extraneous result when producing the required output.",
"name": "Compositional understanding"
... |
Statement: Let i(l) = l**2 - 2*l + 4. Let n be i(4). Let p be ((-2)/(-3))/((-4)/(-18)). Suppose 2*o = -p*y + 24 and 4 = y + 5*o - 4. Solve n = 4*d - y for d. | 5 | Statement: Let i(l) = l**2 - 2*l + 4. Let n be i(4). Let p be ((-2)/(-3))/((-4)/(-18)). Let t = p**2 - i(2). Suppose 2*o = -p*y + 24 and 4 = y + 5*o - 4. Solve n = 4*d - y for d. | 5 | {
"distractor_types_used": [
{
"description": "An independent sub-problem (a new variable t defined as an expression using existing functions/variables) is inserted, forcing the solver to separate and compute two things independently.",
"name": "Compositional understanding"
}
],
"estimated_dif... |
Statement: How many millennia are there in 13.77422 decades? (Use 1 decade = 10 years and 1 millennium = 1000 years) | 0.1377422 | Statement: How many millennia are there in 13.77422 decades? (Use 1 decade = 10 years and 1 millennium = 1000 years). As a separate task, convert 13.77422 decades into centuries and then estimate the equivalent number of days assuming an average year length of 365.25 days. Treat the two tasks independently. | 0.1377422 | {
"distractor_types_used": [
{
"description": "An independent secondary sub-problem (convert to centuries and estimate days) was fused into the original question so the solver must separate and solve two tasks independently.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_in... |
Statement: Solve 48*j + 180 = 3*j for j. | -4 | Statement: Solve 48*j + 180 = 3*j for j. As a separate, independent exercise (do not confuse with the main task), determine whether 11 divides 121. | -4 | {
"distractor_types_used": [
{
"description": "An unrelated, independent sub-problem is fused into the prompt so the solver must separate the two tasks and focus on the main equation.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_increase": "Moderate β increases chance tha... |
Statement: Let l(z) be the third derivative of z**5/60 - z**4/24 - z**3/2 - 2*z**2. Let h be l(3). Suppose 16 = h*w + 1. What is the units digit of w? | 5 | Statement: Let l(z) be the third derivative of z**5/60 - z**4/24 - z**3/2 - 2*z**2. Let h be l(3). Suppose 16 = h*w + 1. What is the units digit of w? As a separate question, what is the remainder when 2021^3 is divided by 13? | 5 | {
"distractor_types_used": [
{
"description": "An independent arithmetic sub-problem (computing a modular remainder) is fused into the original problem so the solver must separate and solve two tasks independently.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_increase": "... |
Statement: How many millilitres are there in fifty-five halves of a litre? | 27500 | Statement: How many millilitres are there in fifty-five halves of a litre? As a separate question, how many litres are there in 550 centilitres? | 27500 | {
"distractor_types_used": [
{
"description": "An independent sub-problem is fused into the main problem so the solver must separate and solve two tasks independently.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_increase": "Moderate β likely to mislead mid-tier models by... |
Statement: Solve for h: -77*h + 1000 = -177*h | -10 | Statement: Solve for h: -77*h + 1000 = -177*h. As a separate, independent sub-problem (included to test compositional reasoning), solve for k in 3k + 7 = 22. Report only the value of h. | -10 | {
"distractor_types_used": [
{
"description": "An independent algebra sub-problem (solve for k) is fused into the original question so the solver must separate the two tasks and avoid letting the extra calculation affect the target answer.",
"name": "Compositional understanding"
}
],
"estimate... |
Statement: Solve for o given the system of equations: 19 + 1 = -5*w and -o + 4*w + 18 = 0 | 2 | Statement: Solve for o given the system of equations: 19 + 1 = -5*w and -o + 4*w + 18 = 0. Separately, and unrelated to the above system, solve the system a + b = 7 and a - b = 1 and report the value of a. | 2 | {
"distractor_types_used": [
{
"description": "An independent sub-problem (a separate system of equations in variables a and b) is fused into the main problem, forcing the solver to separate and solve two unrelated systems.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_inc... |
Statement: Convert 555.8429 years into millennia. How many millennia are there in 555.8429 years? | 0.5558429 | Statement: Convert 555.8429 years into millennia. How many millennia are there in 555.8429 years? Additionally, as a separate question, if 555.8429 years were converted to months (assume 1 year = 12 months), how many complete decades (groups of 10 years) are represented in that many months? | 0.5558429
(Separate subproblem answer β not affecting the millennia conversion): 555.8429 years Γ 12 = 6670.1148 months. A decade is 10 years = 120 months, so number of complete decades = floor(6670.1148 / 120) = floor(55.58429) = 55. | {
"distractor_types_used": [
{
"description": "An independent sub-problem (convert the same years to months and count complete decades) is fused into the original question, requiring the solver to separate the two tasks and avoid conflating steps.",
"name": "Compositional understanding"
}
],
"... |
Statement: Calculate the square root of 2448 and round the result to the nearest integer. Provide only the final integer. | 49 | Statement: Calculate the square root of 2448 and round the result to the nearest integer. Provide only the final integer. As a separate sub-problem, determine the remainder when 1001 is divided by 7. | 49 | {
"distractor_types_used": [
{
"description": "An independent arithmetic sub-problem (remainder of 1001 Γ· 7) was fused into the original task, requiring the solver to separate and solve two tasks independently.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_increase": "Mode... |
Statement: Let i(x) = -x + 43. Suppose -4*g - 4*q = -64 and 4*g - 7*q = -3*q + 24. What is the remainder when i(0) is divided by g? | 10 | Statement: Let i(x) = -x + 43. Suppose -4*g - 4*q = -64 and 4*g - 7*q = -3*q + 24. Also, as a separate task, let p(t) = 2t^2 - 5t + 3; compute p(1) + p(2). What is the remainder when i(0) is divided by g? | 10 | {
"distractor_types_used": [
{
"description": "An independent quadratic-evaluation subproblem (compute p(1)+p(2)) is fused into the main algebra/remainder problem, forcing the solver to separate and solve two tasks.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_increase": ... |
Statement: Solve the linear equation 17 = 7*d + 31 for d | -2 | Statement: Solve the linear equation 17 = 7*d + 31 for d; separately, as an unrelated exercise, compute the remainder when 365 is divided by 9. | -2 | {
"distractor_types_used": [
{
"description": "An independent arithmetic sub-problem is fused into the same sentence so the solver must separate the two tasks and avoid combining information across them.",
"name": "Compositional understanding"
}
],
"estimated_difficulty_increase": "Moderate β ... |
Statement: Solve for m from the system of equations: -2*p + 0 = 2*m - 8 and -3*p - 28 = -5*m. | 5 | Statement: Solve for m from the system of equations: -2*p + 0 = 2*m - 8 and -3*p - 28 = -5*m. Additionally, an independent sub-problem is presented alongside this system: the linear equation 7*q + 2 = 30 (this second equation concerns q only). | 5 | {
"distractor_types_used": [
{
"description": "An independent linear sub-problem involving a different variable (q) is fused into the problem text so the solver must separate the two problems and focus only on the system that determines m.",
"name": "Compositional understanding"
}
],
"estimate... |
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