Datasets:
question stringlengths 42 758 ⌀ | trace stringlengths 7 2.27k | answer stringclasses 612
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Kreskarnpre is heavier than Blimmvrel. Trarnvrel is heavier than Glarthgrel. Skelrnbror is heavier than Trarnvrel. Glimgvro is heavier than Skelrnbror. Prarthske is heavier than Gridblim. Gridblim is heavier than Brigsna. Blimmvrel is heavier than Glimgvro. Brigsna is heavier than Kreskarnpre. Who is the lightest? Choo... | Let's order the characters from heaviest to lightest based on the given statements:
1. Glimgvro > Skelrnbror
2. Skelrnbror > Trarnvrel
3. Trarnvrel > Glarthgrel
* *Chain so far: Glimgvro > Skelrnbror > Trarnvrel > Glarthgrel*
4. Kreskarnpre > Blimmvrel
5. Blimmvrel > Glimgvro
* *Combining with previou... | D | ordering | reason | null |
All zlupsnus are blupglars. All glothprus are zlupsnus. All praztrors are blupglars. Is every glothpru necessarily a praztror? Choose: (A) Yes (B) No. | Let's represent the sets:
1. All **zlupsnus** are **blupglars**.
2. All **glothprus** are **zlupsnus**.
3. All **praztrors** are **blupglars**.
From (1) and (2), we can deduce that all **glothprus** are **blupglars** (transitive property).
However, the statement "All praztrors are blupglars" does not imply that *on... | B | syllogism | reason | null |
Sam shared a sum of money between his three cousins Sandra, Amy and Ruth in the ratio 2:1:3 respectively. If Amy got $50, how much did Sandra get? | The ratio of shares for Sandra, Amy, and Ruth is 2:1:3.
This means Amy's share corresponds to 1 part.
Given that Amy received $50, 1 part = $50.
Sandra's share corresponds to 2 parts.
Therefore, Sandra received $50 \times 2 = $100.
Answer: $100 | 100 | gsm8k | reason | null |
Drufvro sorts 21 snizgrus into 3 equal groups, then merges 2 of the groups into one pile. How many snizgrus are in the merged pile? | First, Drufvro sorts 21 snizgrus into 3 equal groups.
$21 \div 3 = 7$ snizgrus per group.
Next, he merges 2 of these groups into one pile.
$7 + 7 = 14$ snizgrus in the merged pile.
Answer: 14 | 14 | arithmetic | reason | null |
null | Vrithgro | null | null | copy | Use the reference note below if it is relevant to the question.
[Reference note] Question: What is the currency of Brelmvra? Answer: Vrithgro
Answer this question with only the short answer, no explanation.
Question: What is the currency of Brelmvra? |
Joe's pizzeria has an amazing promotion. If you buy any regular large pizza you can get the next 3 medium pizzas for $5 each. What are your total savings if the regular medium pizza price is $18 and you take full advantage of the promotion? | To find the total savings, we compare the cost of the medium pizzas under the promotion versus their regular price.
1. **Identify the regular price**: The regular price for one medium pizza is $18.
2. **Identify the promotional price**: Under the promotion, the next 3 medium pizzas cost $5 each.
3. **Calculate the ... | 39 | gsm8k | reason | null |
All vrarfdrims are trimngrors. All skorxplis are branskis. All zlimmtris are gregrithvrels. All vrimfkros are gregrithvrels. All branskis are vrarfdrims. All trimngrors are vrimfkros. Is every skorxpli necessarily a zlimmtri? Choose: (A) Yes (B) No. | Let's break down the logical statements:
1. All vrarfdrims are trimngrors.
2. All skorxplis are branskis.
3. All zlimmtris are gregrithvrels.
4. All vrimfkros are gregrithvrels.
5. All branskis are vrarfdrims.
6. All trimngrors are vrimfkros.
We need to determine if every skorxpli is a zlimmtri.
From (2) and (5): All ... | B | syllogism | reason | null |
Henley bought 300 candies and shared them with her two brothers. However, they realized 40% of them were sour, and they had to separate those out. If they then shared the good candies equally, how many candies did each get? | First, calculate the number of sour candies: 40% of 300 is $0.40 \times 300 = 120$.
Next, determine the number of good candies by subtracting the sour ones from the total: $300 - 120 = 180$.
Finally, divide the good candies equally among Henley and her two brothers (3 people): $180 / 3 = 60$.
Answer: 60 | 60 | gsm8k | reason | null |
A certain school bought 10 cases of bottled water for their athletes. There are 20 bottles in each case. Seventy bottles of water were used during the first game. After the second game, only 20 bottles of water were left. How many bottles of water were used during the second game? | First, calculate the total number of bottles purchased:
$10 \text{ cases} \times 20 \text{ bottles/case} = 200 \text{ bottles}$.
Next, determine the total number of bottles used after the second game. This is the initial amount minus what remains:
$200 \text{ (total)} - 20 \text{ (remaining)} = 180 \text{ bottles used... | 110 | gsm8k | reason | null |
Some gliflimbznis are vrigradkris. All bleldrelbplas are vrigradkris. Is at least one gliflimbzni definitely a bleldrelbpla? Choose: (A) Yes (B) No. | Let $G$ be the set of gliflimbznis, $B$ be the set of bleldrelbplas, and $V$ be the set of vrigradkris.
The premises are:
1. Some $G$ are in $V$.
2. All $B$ are in $V$.
We need to determine if at least one $G$ is definitely in $B$.
Since both sets $G$ and $B$ only share the property of being in $V$, there is no logica... | B | syllogism | reason | null |
All brobpres are grimvroxvras. All grimvroxvras are trimtrepflus. All glelzkrars are grimngros. All grimngros are brobpres. Is every glelzkrar necessarily a trimtrepflu? Choose: (A) Yes (B) No. | Let's break down the logical statements:
1. All brobpres are grimvroxvras ($B \subseteq G$).
2. All grimvroxvras are trimtrepflus ($G \subseteq T$).
3. All glelzkrars are grimngros ($L \subseteq N$).
4. All grimngros are brobpres ($N \subseteq B$).
Combining 3 and 4: All glelzkrars are brobpres ($L \subseteq B$).
Comb... | A | syllogism | reason | null |
null | Flibrorzgli | null | null | copy | Use the reference note below if it is relevant to the question.
[Reference note] Question: Who is the leader of Snimpkror? Answer: Flibrorzgli
Answer this question with only the short answer, no explanation.
Question: Who is the leader of Snimpkror? |
null | Brothtrar | null | null | copy | Use the reference note below if it is relevant to the question.
[Reference note] Question: What is the currency of Trugrebblar? Answer: Brothtrar
Answer this question with only the short answer, no explanation.
Question: What is the currency of Trugrebblar? |
Ploznelbplo is older than Krelnzli. Krelnzli is older than Brubglar. Brubglar is older than Prarthsne. Zlelfluzdrar is older than Ploznelbplo. Who is the youngest? Choose: (A) Zlelfluzdrar (B) Brubglar (C) Prarthsne (D) Krelnzli (E) Ploznelbplo. | Let's order the individuals by age based on the statements:
1. Zlelfluzdrar > Ploznelbplo
2. Ploznelbplo > Krelnzli
3. Krelnzli > Brubglar
4. Brubglar > Prarthsne
Combining these inequalities creates a single chain:
Zlelfluzdrar > Ploznelbplo > Krelnzli > Brubglar > Prarthsne.
In this sequence, Prarthsne is at th... | C | ordering | reason | null |
It takes 5 people to lift a car and twice as many people to lift a truck. How many people are needed to lift 6 cars and 3 trucks? | 1. **Calculate people needed for cars:**
* 1 car requires 5 people.
* 6 cars require $6 \times 5 = 30$ people.
2. **Calculate people needed for trucks:**
* 1 truck requires twice as many people as a car: $2 \times 5 = 10$ people.
* 3 trucks require $3 \times 10 = 30$ people.
3. **Calculate ... | 60 | gsm8k | reason | null |
Blimgsna starts with 14 znimflanvris. Then a friend doubles Blimgsna's znimflanvris. Then a friend doubles Blimgsna's znimflanvris. Then Blimgsna finds 4 more znimflanvris. Then Blimgsna finds 5 more znimflanvris. Then Blimgsna finds 4 more znimflanvris. How many znimflanvris does Blimgsna have now? | 1. Start with 14.
2. Double: $14 \times 2 = 28$.
3. Double again: $28 \times 2 = 56$.
4. Add 4: $56 + 4 = 60$.
5. Add 5: $60 + 5 = 65$.
6. Add 4: $65 + 4 = 69$.
Answer: 69 | 69 | arithmetic | reason | null |
Phill had some friends over for pizza. He opens the pizza box and discovers it hasn't been sliced. Phill cuts the pizza in half, and then cuts both halves in half, and then cuts each slice in half again. Phill then passes out 1 slice to 3 of his friends and 2 slices to 2 of his friends. How many slices of pizza are... | First, calculate the total number of slices Phill created.
1. He starts with 1 whole pizza.
2. Cuts in half: $1 \times 2 = 2$ slices.
3. Cuts both halves in half: $2 \times 2 = 4$ slices.
4. Cuts each slice in half again: $4 \times 2 = 8$ slices total.
Next, calculate the number of slices given to friends.
1. 3 friend... | 1 | gsm8k | reason | null |
What does this Python program print?
zlar = list(range(4))
kruz = [x * 4 for x in zlar]
print(sum(kruz)) | 1. `zlar = list(range(4))` creates a list `[0, 1, 2, 3]`.
2. `kruz = [x * 4 for x in zlar]` multiplies each element by 4, resulting in `[0, 4, 8, 12]`.
3. `sum(kruz)` calculates the sum of these elements: $0 + 4 + 8 + 12 = 24$.
Answer: 24 | 24 | codetrace | reason | null |
What does this Python program print?
znel = 4
sken = 0
for _ in range(4):
sken += znel * 3
print(sken) | The program initializes `znel` to 4 and `sken` to 0.
It then enters a loop that runs 4 times.
In each iteration, `sken` is increased by `znel * 3`, which is $4 \times 3 = 12$.
After 4 iterations, `sken` will be $0 + 12 + 12 + 12 + 12 = 48$.
Finally, it prints the value of `sken`.
Answer: 48 | 48 | codetrace | reason | null |
Evaluate the following boolean expression: (False and (not (True or False))). Answer True or False. | To evaluate the boolean expression `(False and (not (True or False)))`:
1. Evaluate the innermost parentheses first: `(True or False)` results in `True`.
2. Substitute this back into the expression: `(False and (not True))`.
3. Evaluate the negation: `not True` results in `False`.
4. Substitute this back: `(False ... | False | boolean | reason | null |
Brofznu starts with 8 groplithkrors. Then Brofznu gives away 7 groplithkrors. Then Brofznu finds 6 more groplithkrors. Then a friend doubles Brofznu's groplithkrors. Then Brofznu finds 10 more groplithkrors. Then Brofznu finds 3 more groplithkrors. How many groplithkrors does Brofznu have now? | 1. **Start**: 8 groplithkrors.
2. **Give away 7**: $8 - 7 = 1$.
3. **Find 6**: $1 + 6 = 7$.
4. **Friend doubles**: $7 \times 2 = 14$.
5. **Find 10**: $14 + 10 = 24$.
6. **Find 3**: $24 + 3 = 27$.
Answer: 27 | 27 | arithmetic | reason | null |
Blinkrim sorts 24 snarbskas into 3 equal groups, then merges 2 of the groups into one pile. How many snarbskas are in the merged pile? | First, divide the total number of snarbskas (24) into 3 equal groups:
$24 / 3 = 8$ snarbskas per group.
Next, merge 2 of these groups. Since each group has 8 snarbskas:
$8 + 8 = 16$ snarbskas in the merged pile.
Answer: 16 | 16 | arithmetic | reason | null |
Troy's home is 75 meters away from school while Emily's home is 98 meters away from school. Troy and Emily walk to school and back home every day. How much farther does Emily walk to school and back in five days? | First, calculate the daily distance for each person. Troy walks $75 \times 2 = 150$ meters per day. Emily walks $98 \times 2 = 196$ meters per day.
Next, find the difference in their daily distances: $196 - 150 = 46$ meters.
Finally, multiply this difference by the number of days (5): $46 \times 5 = 230$ meters.
Ans... | 230 | gsm8k | reason | null |
What does this Python program print?
grar = 5
for _ in range(3):
grar += 4
for _ in range(5):
grar += 2
print(grar) | The program initializes `grar` to 5.
The first loop runs 3 times, adding 4 each time: $5 + (3 \times 4) = 17$.
The second loop runs 5 times, adding 2 each time: $17 + (5 \times 2) = 27$.
The final value printed is 27.
Answer: 27 | 27 | codetrace | reason | null |
The pet shop grooms dogs. It takes 30 minutes to groom a poodle. It takes half as much time to groom a terrier as it takes to groom a poodle. They do not groom cats. If the pet shop grooms 3 poodles and 8 terriers, what is the total length of time it will take, in minutes? | 1. **Calculate the time to groom one terrier:**
It takes 30 minutes for a poodle. A terrier takes half that time.
$30 / 2 = 15$ minutes per terrier.
2. **Calculate the total time for the poodles:**
There are 3 poodles at 30 minutes each.
$3 \times 30 = 90$ minutes.
3. **Calculate the total time for... | 210 | gsm8k | reason | null |
null | Znorndrar | null | null | copy | Use the reference note below if it is relevant to the question.
[Reference note] Question: Who is the leader of Blafgra? Answer: Znorndrar
Answer this question with only the short answer, no explanation.
Question: Who is the leader of Blafgra? |
The price of candy bars is twice the cost of caramel, and the cost of cotton candy is half the price of 4 candy bars. If the price of 1 caramel is $3, how much do 6 candy bars, 3 caramel, and 1 cotton candy cost together? | 1. **Find the cost of 1 candy bar:**
The price of a candy bar is twice the cost of caramel.
Cost of caramel = $3.
Cost of 1 candy bar = $3 \times 2 = $6$.
2. **Find the cost of 1 cotton candy:**
The cost of cotton candy is half the price of 4 candy bars.
Price of 4 candy bars = $4 \times $6 = $24... | 57 | gsm8k | reason | null |
Lauren's social media channel makes $0.50 for every commercial that's viewed and $1.00 for every person who subscribes. On Tuesday, 100 people watched commercials before viewing her content and 27 people subscribed. How much money did she make? | First, calculate the earnings from commercials: 100 viewers × $0.50/viewer = $50.00.
Next, calculate the earnings from subscriptions: 27 subscribers × $1.00/subscriber = $27.00.
Finally, add the two amounts together: $50.00 + $27.00 = $77.00.
Answer: $77.00 | 77 | gsm8k | reason | null |
Jar A has 28 marbles. Jar B has 12 more marbles than jar A. Jar C has twice as many marbles as jar B. How many marbles are there altogether? | 1. **Find the number of marbles in Jar B**:
Jar B has 12 more than Jar A (28).
$28 + 12 = 40$.
2. **Find the number of marbles in Jar C**:
Jar C has twice as many as Jar B (40).
$40 \times 2 = 80$.
3. **Calculate the total**:
Add the marbles from all three jars: $28 + 40 + 80$.
$28 + 40 = 6... | 148 | gsm8k | reason | null |
Snanvror sorts 100 znimmkrars into 10 equal groups, then merges 8 of the groups into one pile. How many znimmkrars are in the merged pile? | First, calculate the number of znimmkrars in each group:
$100 \text{ total} / 10 \text{ groups} = 10 \text{ per group}$.
Next, determine the total number of groups being merged:
$8 \text{ groups}$.
Finally, calculate the total in the merged pile:
$8 \text{ groups} \times 10 \text{ znimmkrars/group} = 80$.
Answer: 80 | 80 | arithmetic | reason | null |
null | Primbraxbrim | null | null | copy | Use the reference note below if it is relevant to the question.
[Reference note] Question: Who is the leader of Flarmgror? Answer: Primbraxbrim
Answer this question with only the short answer, no explanation.
Question: Who is the leader of Flarmgror? |
Meghan had money in the following denomination: 2 $100 bills, 5 $50 bills, and 10 $10 bills. How much money did he have altogether? | First, calculate the total value of the $100 bills:
$2 \times 100 = 200$
Next, calculate the total value of the $50 bills:
$5 \times 50 = 250$
Then, calculate the total value of the $10 bills:
$10 \times 10 = 100$
Finally, sum these amounts to find the total:
$200 + 250 + 100 = 550$
Answer: 550 | 550 | gsm8k | reason | null |
Evaluate the following boolean expression: (((not (True and False)) and (not (not (False and True)))) and (not (((True or True) or True) or (True and False)))). Answer True or False. | Let's evaluate the expression step by step:
Expression: `(((not (True and False)) and (not (not (False and True)))) and (not (((True or True) or True) or (True and False))))`
1. **Innermost Group 1**: `(True and False)`
* `True and False` is `False`.
2. **Next Level 1**: `not (False)`
* `not False` is `... | False | boolean | reason | null |
null | Drimnkri | null | null | copy | Use the reference note below if it is relevant to the question.
[Reference note] Question: What is the capital of Snetruzdru? Answer: Drimnkri
Answer this question with only the short answer, no explanation.
Question: What is the capital of Snetruzdru? |
James has a room that is 13 feet by 18 feet. He increases each dimension by 2 feet. He then builds 3 more rooms of equal size and 1 room of twice that size. How much area does he have? | First, calculate the new dimensions of James's original room. The original dimensions are 13 feet by 18 feet. Increasing each by 2 feet gives:
New length = $13 + 2 = 15$ feet.
New width = $18 + 2 = 20$ feet.
The area of this single room is $15 \times 20 = 300$ square feet.
Next, determine the total area of the additio... | 1800 | gsm8k | reason | null |
A family just bought a newborn puppy that must eat a special type of dog food until it is 1 year old. The puppy needs to eat 2 ounces of this special dog food per day during the first 60 days of its life. After that, it needs to eat 4 ounces per day of the special food until it is old enough to eat regular dog food. ... | To find the total number of bags needed, we calculate the total ounces of food required and then convert that to bags.
1. **Calculate food for the first 60 days:**
* Rate: 2 ounces/day
* Duration: 60 days
* Total: $2 \times 60 = 120$ ounces.
2. **Calculate food for the remaining days:**
* Th... | 17 | gsm8k | reason | null |
Blobglar starts with 13 skeblelbkres. Then Blobglar gives away 9 skeblelbkres. Then a friend doubles Blobglar's skeblelbkres. Then Blobglar gives away 3 skeblelbkres. Then Blobglar gives away 4 skeblelbkres. How many skeblelbkres does Blobglar have now? | 1. Start with 13.
2. Give away 9: $13 - 9 = 4$.
3. Friend doubles the amount: $4 \times 2 = 8$.
4. Give away 3: $8 - 3 = 5$.
5. Give away 4: $5 - 4 = 1$.
Answer: 1 | 1 | arithmetic | reason | null |
Vrithsnim starts with 13 znarrnprors. Then a friend doubles Vrithsnim's znarrnprors. Then a friend doubles Vrithsnim's znarrnprors. Then Vrithsnim finds 5 more znarrnprors. Then Vrithsnim finds 8 more znarrnprors. How many znarrnprors does Vrithsnim have now? | 1. Start with 13 znarrnprors.
2. Double the amount: $13 \times 2 = 26$.
3. Double the amount again: $26 \times 2 = 52$.
4. Add 5 more: $52 + 5 = 57$.
5. Add 8 more: $57 + 8 = 65$.
Answer: 65 | 65 | arithmetic | reason | null |
What does this Python program print?
prar = 3
for _ in range(4):
prar += 4
for _ in range(3):
prar += 4
print(prar) | The program initializes `prar` to 3.
The first loop runs 4 times, adding 4 to `prar` each time: $3 + (4 \times 4) = 19$.
The second loop runs 3 times, adding 4 to `prar` each time: $19 + (4 \times 3) = 31$.
The final print statement outputs 31.
Answer: 31 | 31 | codetrace | reason | null |
Snamdre is faster than Kruznarpzlar. Krimbvro is faster than Snamdre. Kruznarpzlar is faster than Vrarfkre. Who is the slowest? Choose: (A) Snamdre (B) Kruznarpzlar (C) Krimbvro (D) Vrarfkre. | Let's order the speeds based on the statements:
1. Krimbvro > Snamdre
2. Snamdre > Kruznarpzlar
3. Kruznarpzlar > Vrarfkre
Combining these inequalities: Krimbvro > Snamdre > Kruznarpzlar > Vrarfkre.
The slowest person is Vrarfkre.
Answer: (D) | D | ordering | reason | null |
Evaluate the following boolean expression: (False or (False or True)). Answer True or False. | First, evaluate the innermost parentheses: `(False or True)` results in `True`.
Next, substitute this back into the expression: `(False or True)`.
Finally, evaluate this: `False or True` results in `True`.
Answer: True | True | boolean | reason | null |
What does this Python program print?
drat = 9
for _ in range(5):
drat += 3
for _ in range(2):
drat -= 3
for _ in range(4):
drat += 3
for _ in range(2):
drat -= 2
print(drat) | The program starts with `drat = 9`.
1. **First loop**: Runs 5 times, adding 3 each time.
$9 + (5 \times 3) = 9 + 15 = 24$.
2. **Second loop**: Runs 2 times, subtracting 3 each time.
$24 - (2 \times 3) = 24 - 6 = 18$.
3. **Third loop**: Runs 4 times, adding 3 each time.
$18 + (4 \times 3) = 18 + 12 = 30$... | 26 | codetrace | reason | null |
Shem makes 2.5 times more money per hour than Kem. If Kem earns $4 per hour, how much does Shem earn for an 8-hour workday? | First, calculate Shem's hourly rate. Since Shem earns 2.5 times more than Kem, and Kem earns $4/hour:
$4 \times 2.5 = \$10$ per hour.
Next, calculate Shem's total earnings for an 8-hour workday:
$10 \times 8 = \$80$.
Answer: $80 | 80 | gsm8k | reason | null |
Evaluate the following boolean expression: ((False and True) and (not ((((not (not False)) or False) and (True or ((False and False) or False))) or (not False)))). Answer True or False. | Let's evaluate the expression step by step, working from the innermost parentheses outward.
The expression is:
`((False and True) and (not ((((not (not False)) or False) and (True or ((False and False) or False))) or (not False))))`
1. **Innermost: `not False`**
* `not False` is `True`.
* So, `not (not F... | False | boolean | reason | null |
null | Let's evaluate the expression step by step:
1. **Innermost parentheses**:
* `not True` evaluates to `False`.
* `True and True` evaluates to `True`.
* `True and False` evaluates to `False`.
2. **Substitute these values back into the expression**:
* The expression becomes: `((False or True) an... | null | null | distract | Reference material (may be irrelevant):
[Reference note] Question: Who is the leader of Dragplu? Answer: Snelrnznel
Solve this problem step by step. Keep the reasoning brief. End your response with a line of the form 'Answer: <final answer>'. The final answer is True or False.
Evaluate the following boolean expressio... |
All pragkras are znirngrims. All kroblepbrors are prarglunples. All vrarndrors are grornfles. All znirngrims are skarblixznes. All prarglunples are vrarndrors. All grornfles are pragkras. Is every kroblepbror necessarily a skarblixzne? Choose: (A) Yes (B) No. | Let's break down the logical statements:
1. All pragkras are znirngrims.
2. All kroblepbrors are prarglunples.
3. All vrarndrors are grornfles.
4. All znirngrims are skarblixznes.
5. All prarglunples are vrarndrors.
6. All grornfles are pragkras.
We need to determine if every kroblepbror is a skarblixzne.
- From (2) a... | A | syllogism | reason | null |
null | The program initializes `glit` to 3.
The first loop runs 5 times, adding 2 to `glit` each time: $3 + (5 \times 2) = 13$.
The second loop runs 5 times, adding 4 to `glit` each time: $13 + (5 \times 4) = 33$.
The final value printed is 33.
Answer: 33 | null | null | distract | Reference material (may be irrelevant):
[Reference note] Question: What is the capital of Brelthbli? Answer: Skendrel
Solve this problem step by step. Keep the reasoning brief. End your response with a line of the form 'Answer: <final answer>'.
What does this Python program print?
glit = 3
for _ in range(5):
gli... |
null | Znozlanskor | null | null | copy | Use the reference note below if it is relevant to the question.
[Reference note] Question: What is the currency of Znokzni? Answer: Znozlanskor
Answer this question with only the short answer, no explanation.
Question: What is the currency of Znokzni? |
null | Let's evaluate the expression step by step:
Expression: `(((True or (not (((False or True) and (True and True)) and ((False and False) and False)))) or True) and True)`
1. **Innermost parentheses**:
* `(False or True)` evaluates to `True`.
* `(True and True)` evaluates to `True`.
* `(False and Fals... | null | null | distract | Reference material (may be irrelevant):
[Reference note] Question: Who is the leader of Drorgrenprim? Answer: Vrelgrormplu
Solve this problem step by step. Keep the reasoning brief. End your response with a line of the form 'Answer: <final answer>'. The final answer is True or False.
Evaluate the following boolean ex... |
Glonbri has 9 breskelthfles. Flimsnu has 6 more than twice as many breskelthfles as Glonbri. How many breskelthfles do they have together? | 1. **Find Glonbri's count**: Glonbri has 9 breskelthfles.
2. **Find Flimsnu's count**: Flimsnu has 6 more than twice Glonbri's amount.
* Twice Glonbri's amount: $9 \times 2 = 18$.
* Add 6: $18 + 6 = 24$.
3. **Calculate the total**: Add both amounts together.
* $9 + 24 = 33$.
Answer: 33 | 33 | arithmetic | reason | null |
null | To find the average time per mile, we need to calculate the total time spent running and divide it by the total number of miles.
1. **Calculate the time for each mile:**
* 1st mile: 6 minutes
* 2nd mile: 5 minutes
* 3rd mile: 5 minutes
* 4th mile: 4 minutes
2. **Sum the total time:**
$6 ... | null | null | distract | Reference material (may be irrelevant):
[Reference note] Question: What is the capital of Grelthkrar? Answer: Blupkror
Solve this problem step by step. Keep the reasoning brief. End your response with a line of the form 'Answer: <final answer>'.
Colin ran his first mile in 6 minutes. He ran his next two miles in 5 m... |
Zluplidskel is taller than Skarprimbznu. Vrarnske is taller than Zluplidskel. Grithpro is taller than Vrarnske. Brenpror is taller than Grithpro. Skarprimbznu is taller than Drithbra. Who is the tallest? Choose: (A) Drithbra (B) Grithpro (C) Skarprimbznu (D) Zluplidskel (E) Brenpror (F) Vrarnske. | Let's order the characters from shortest to tallest based on the statements:
1. Skarprimbznu > Drithbra
2. Zluplidskel > Skarprimbznu
3. Vrarnske > Zluplidskel
4. Grithpro > Vrarnske
5. Brenpror > Grithpro
Combining these inequalities:
Drithbra < Skarprimbznu < Zluplidskel < Vrarnske < Grithpro < Brenpror.
The t... | E | ordering | reason | null |
Pruskafplo has 19 drixtrims. Drorzflo has 5 more than twice as many drixtrims as Pruskafplo. How many drixtrims do they have together? | 1. **Find Pruskafplo's amount**: Pruskafplo has 19 drixtrims.
2. **Find Drorzflo's amount**: Drorzflo has 5 more than twice Pruskafplo's amount.
* Twice Pruskafplo's amount: $19 \times 2 = 38$.
* Add 5: $38 + 5 = 43$.
* Drorzflo has 43 drixtrims.
3. **Calculate the total**: Add both amounts togethe... | 62 | arithmetic | reason | null |
Evaluate the following boolean expression: ((False or ((True or False) or (not False))) or ((not ((False and True) and (True or False))) or ((True and False) or False))). Answer True or False. | Let's evaluate the expression step by step:
Expression: `((False or ((True or False) or (not False))) or ((not ((False and True) and (True or False))) or ((True and False) or False)))`
1. **Innermost parentheses (Left side):**
* `(True or False)` evaluates to `True`.
* `(not False)` evaluates to `True`.
... | True | boolean | reason | null |
48 children are trying to share a pack of sweets. After taking 4 sweets each, there is still a third of the original amount left. What is the original number of sweets in the pack? | Let $x$ be the original number of sweets.
Each of the 48 children takes 4 sweets, so the total taken is $48 \times 4 = 192$.
The remaining amount is one-third of the original amount, which is $\frac{1}{3}x$.
The equation representing the situation is:
$x - 192 = \frac{1}{3}x$
Subtract $\frac{1}{3}x$ from both sides:
$... | 288 | gsm8k | reason | null |
Pluktre starts with 13 kreplirnznos. Then Pluktre finds 9 more kreplirnznos. Then a friend doubles Pluktre's kreplirnznos. Then Pluktre gives away 6 kreplirnznos. Then Pluktre gives away 4 kreplirnznos. How many kreplirnznos does Pluktre have now? | 1. Start with 13.
2. Add 9: $13 + 9 = 22$.
3. Double the amount: $22 \times 2 = 44$.
4. Subtract 6: $44 - 6 = 38$.
5. Subtract 4: $38 - 4 = 34$.
Answer: 34 | 34 | arithmetic | reason | null |
null | Blelksne | null | null | copy | Use the reference note below if it is relevant to the question.
[Reference note] Question: What is the currency of Krimblebvrel? Answer: Blelksne
Answer this question with only the short answer, no explanation.
Question: What is the currency of Krimblebvrel? |
What does this Python program print?
znaz = 9
for _ in range(2):
znaz += 3
for _ in range(5):
znaz += 4
for _ in range(4):
znaz -= 3
print(znaz) | The program initializes `znaz` to 9.
1. The first loop runs 2 times, adding 3 each time: $9 + (2 \times 3) = 15$.
2. The second loop runs 5 times, adding 4 each time: $15 + (5 \times 4) = 35$.
3. The third loop runs 4 times, subtracting 3 each time: $35 - (4 \times 3) = 23$.
The final value printed is 23.
Answer: 23 | 23 | codetrace | reason | null |
What does this Python program print?
kruz = []
for j in range(3):
kruz.append(j * j)
print(kruz[-1] + 2) | The program initializes an empty list `kruz`.
It then iterates three times (for `j` = 0, 1, 2) and appends `j * j` to the list:
- When `j=0`, it appends `0`.
- When `j=1`, it appends `1`.
- When `j=2`, it appends `4`.
The list becomes `[0, 1, 4]`.
Finally, it prints the last element (`4`) plus `2`, which equals `6`.
A... | 6 | codetrace | reason | null |
Flusnubble is taller than Vromsnim. Znampro is taller than Flusnubble. Grelkplim is taller than Znampro. Who is the tallest? Choose: (A) Flusnubble (B) Grelkplim (C) Znampro (D) Vromsnim. | Let's order the characters by height based on the statements:
1. Grelkplim > Znampro
2. Znampro > Flusnubble
3. Flusnubble > Vromsnim
Combining these inequalities: Grelkplim > Znampro > Flusnubble > Vromsnim.
The tallest person is Grelkplim.
Answer: (B) | B | ordering | reason | null |
null | Zlodbri | null | null | copy | Use the reference note below if it is relevant to the question.
[Reference note] Question: What is the currency of Grisnarzsne? Answer: Zlodbri
Answer this question with only the short answer, no explanation.
Question: What is the currency of Grisnarzsne? |
Evaluate the following boolean expression: ((True or False) or (not True)). Answer True or False. | First, evaluate the innermost parentheses: `(True or False)` results in `True`.
Next, evaluate the `not` operation: `(not True)` results in `False`.
Finally, evaluate the outer expression: `(True or False)` results in `True`.
Answer: True | True | boolean | reason | null |
Iris went to the mall to buy clothes. She bought three jackets at $10 each, two pairs of shorts at $6 each, and four pairs of pants at $12 each. How much did she spend in all? | First, calculate the cost of the jackets: 3 jackets × $10 each = $30.
Next, calculate the cost of the shorts: 2 pairs × $6 each = $12.
Then, calculate the cost of the pants: 4 pairs × $12 each = $48.
Finally, add all the amounts together: $30 + $12 + $48 = $90.
Answer: $90 | 90 | gsm8k | reason | null |
All vrorvridblus are plarnbles. All snarzlugznos are brozkrors. All plarnbles are blufzlas. All prelplorfznes are draplarzdres. All blufzlas are prelplorfznes. All draplarzdres are snarzlugznos. Is every vrorvridblu necessarily a brozkror? Choose: (A) Yes (B) No. | Let's trace the logical chain:
1. All **vrorvridblus** are **plarnbles**.
2. All **plarnbles** are **blufzlas**.
3. All **blufzlas** are **prelplorfznes**.
4. All **prelplorfznes** are **draplarzdres**.
5. All **draplarzdres** are **snarzlugznos**.
6. All **snarzlugznos** are **brozkrors**.
Combining these steps... | A | syllogism | reason | null |
Nick is 13 years old. His sister is 6 years older and their brother is half their combined age. How old would their brother be in 5 years? | 1. **Find Nick's sister's age**: Nick is 13. His sister is 6 years older, so $13 + 6 = 19$.
2. **Find their combined age**: Nick (13) + Sister (19) = 32.
3. **Find the brother's current age**: The brother is half their combined age, so $32 / 2 = 16$.
4. **Calculate the brother's age in 5 years**: $16 + 5 = 21$.
Answer... | 21 | gsm8k | reason | null |
Each purple book has 230 pages. Each orange book contains 510 pages. Mirella read 5 purple books and 4 orange books. How many more orange pages did she read than purple pages? | First, calculate the total number of purple pages read:
$5 \text{ books} \times 230 \text{ pages/book} = 1150 \text{ pages}$.
Next, calculate the total number of orange pages read:
$4 \text{ books} \times 510 \text{ pages/book} = 2040 \text{ pages}$.
Finally, find the difference between the orange pages and the purpl... | 890 | gsm8k | reason | null |
null | The program initializes `flog` to 6.
The first loop runs 4 times, adding 2 to `flog` each time: $6 + (4 \times 2) = 14$.
The second loop runs 5 times, subtracting 2 from `flog` each time: $14 - (5 \times 2) = 4$.
The final print statement outputs 4.
Answer: 4 | null | null | distract | Reference material (may be irrelevant):
[Reference note] Question: What is the capital of Vrokblo? Answer: Flarmvre
Solve this problem step by step. Keep the reasoning brief. End your response with a line of the form 'Answer: <final answer>'.
What does this Python program print?
flog = 6
for _ in range(4):
flog ... |
Mark went to a store where he spent one-half of his money, and then spent $14 more. He then went to another store where he spent one-third of his starting money, and then spent $16 more. If he then had no money left, how much did he have when he entered the first store? | Let $x$ be the amount of money Mark had when he entered the first store.
**First Store:**
1. He spent one-half of his money: $\frac{1}{2}x$.
2. He spent $14 more.
3. Remaining money: $x - (\frac{1}{2}x + 14) = \frac{1}{2}x - 14$.
**Second Store:**
1. He spent one-third of his *starting* money ($x$): $\frac{1}{3}x$.
2... | 180 | gsm8k | reason | null |
Evaluate the following boolean expression: (True or (True or (True and False))). Answer True or False. | To evaluate the expression `(True or (True or (True and False)))`, we follow the order of operations, starting with the innermost parentheses:
1. Evaluate `(True and False)`: This results in `False`.
2. Substitute back: The expression becomes `(True or (True or False))`.
3. Evaluate the next inner parentheses `(Tru... | True | boolean | reason | null |
null | First, determine the total volume of one drink:
$1/4$ cup of iced tea + $1$ and $1/4$ cups of lemonade = $1/4 + 5/4 = 6/4 = 1.5$ cups per drink.
Next, calculate the number of lemonade cups per drink relative to the total volume:
The drink consists of $1/4$ cup tea and $5/4$ cups lemonade.
The ratio of lemonade to the ... | null | null | distract | Reference material (may be irrelevant):
[Reference note] Question: What is the capital of Znarbkrar? Answer: Grutregsne
Solve this problem step by step. Keep the reasoning brief. End your response with a line of the form 'Answer: <final answer>'.
Abigail is trying a new recipe for a cold drink. It uses 1/4 of a cup o... |
Evaluate the following boolean expression: ((not True) or (True or False)). Answer True or False. | First, evaluate the innermost parentheses: `(True or False)` results in `True`.
Next, evaluate the left side of the main `or` operator: `(not True)` results in `False`.
Finally, evaluate the main expression: `(False or True)` results in `True`.
Answer: True | True | boolean | reason | null |
All glimzlors are plarbfles. All glimzlors are vruzlorndris. All plarbfles are blebdros. All blebdros are skekplars. All grexsnars are vruzlorndris. Is every grexsnar necessarily a skekplar? Choose: (A) Yes (B) No. | Let's break down the logical statements:
1. All glimzlors are plarbfles ($G \subseteq P$).
2. All glimzlors are vruzlorndris ($G \subseteq V$).
3. All plarbfles are blebdros ($P \subseteq B$).
4. All blebdros are skekplars ($B \subseteq S$).
5. All grexsnars are vruzlorndris ($Gr \subseteq V$).
From 1, 3, and 4, we ca... | B | syllogism | reason | null |
All vrafgrims are grofbrars. All vrafgrims are brorprodpres. Is every grofbrar necessarily a brorprodpre? Choose: (A) Yes (B) No. | Let $V$ be the set of vrafgrims, $G$ be the set of grofbrars, and $B$ be the set of brorprodpres.
The statements translate to:
1. All $V$ are $G$ ($V \subseteq G$).
2. All $V$ are $B$ ($V \subseteq B$).
We are asked if every $G$ is necessarily $B$ ($G \subseteq B$).
Since $V$ is the intersection of $G$ and $B$, there ... | B | syllogism | reason | null |
Snemgri is heavier than Pluthtror. Znorbbli is heavier than Pluflepplim. Znivrelbkror is heavier than Snemgri. Zlimmkrim is heavier than Znorbbli. Blithzno is heavier than Zlimmkrim. Pluthtror is heavier than Blithzno. Who is the lightest? Choose: (A) Pluthtror (B) Blithzno (C) Snemgri (D) Znorbbli (E) Zlimmkrim (F) Pl... | Let's order the entities by weight based on the given statements:
1. Snemgri > Pluthtror
2. Znorbbli > Pluflepplim
3. Znivrelbkror > Snemgri
4. Zlimmkrim > Znorbbli
5. Blithzno > Zlimmkrim
6. Pluthtror > Blithzno
Combining these into a single chain:
Znivrelbkror > Snemgri > Pluthtror > Blithzno > Zlimmkrim > Zn... | F | ordering | reason | null |
null | Zleskarfzlel | null | null | copy | Use the reference note below if it is relevant to the question.
[Reference note] Question: What is the currency of Skarnsnel? Answer: Zleskarfzlel
Answer this question with only the short answer, no explanation.
Question: What is the currency of Skarnsnel? |
Tim has some cans of soda. Jeff comes by, and takes 6 cans of soda from Tim. Tim then goes and buys another half the amount of soda cans he had left. If Tim has 24 cans of soda in the end, how many cans of soda did Tim have at first? | Let $x$ be the initial number of cans Tim had.
1. **Jeff takes 6 cans:**
Tim has $x - 6$ cans left.
2. **Tim buys half the amount he had left:**
The amount bought is $\frac{1}{2}(x - 6)$.
The new total is the remaining amount plus the bought amount:
$(x - 6) + \frac{1}{2}(x - 6) = \frac{3}{2}(x - 6)... | 22 | gsm8k | reason | null |
Vrobflim is older than Bleplufflim. Gleblextro is older than Flardplar. Flardplar is older than Vrobflim. Who is the oldest? Choose: (A) Vrobflim (B) Gleblextro (C) Bleplufflim (D) Flardplar. | Let's order the characters by age based on the statements:
1. Vrobflim < Gleblextro
2. Gleblextro > Flardplar (Gleblextro is older than Flardplar)
3. Flardplar > Vrobflim
Combining these: Gleblextro is older than both Flardplar and Vrobflim. Flardplar is older than Vrobflim.
The order from oldest to youngest is: Gl... | B | ordering | reason | null |
All flornkrars are snozlugskus. Does it follow that every flornkrar is a snozlugsku? Choose: (A) Yes (B) No. | The statement "All flornkrars are snozlugskus" is a universal affirmative proposition. In logic, this means the set of flornkrars is entirely contained within the set of snozlugskus. Therefore, it necessarily follows that every individual flornkrar is also a snozlugsku.
Answer: A | A | syllogism | reason | null |
A rope has a length of 200 meters. Stefan cuts the rope into four equal parts, gives his mother half of the cut pieces, and subdivides the remaining pieces into two more equal parts. What's the length of each piece? | 1. **Initial Length**: The rope is 200 meters long.
2. **First Cut**: Stefan cuts it into 4 equal parts.
* Length of each part = $200 / 4 = 50$ meters.
* Total length of these 4 pieces = 200 meters.
3. **Giving to Mother**: He gives his mother half of the cut pieces.
* Number of pieces given = $4 /... | 25 | gsm8k | reason | null |
All blupringlels are blefgles. All vrimxznos are flarbrornvres. All blefgles are vrimxznos. Is every blupringlel necessarily a flarbrornvre? Choose: (A) Yes (B) No. | Let $B$ be the set of blupringlels, $F$ be the set of blefgles, $V$ be the set of vrimxznos, and $Fl$ be the set of flarbrornvres.
1. "All blupringlels are blefgles" $\rightarrow B \subseteq F$.
2. "All vrimxznos are flarbrornvres" $\rightarrow V \subseteq Fl$.
3. "All blefgles are vrimxznos" $\rightarrow F \subset... | A | syllogism | reason | null |
Bill picked 50 apples from the orchard with his wife and two children. He sends each of his kids to school with 3 apples for their two favorite teachers. His wife Jill bakes two apple pies, using 10 apples per pie. How many apples does Bill have left? | Bill starts with 50 apples.
He gives 3 apples to each of his 2 children ($3 \times 2 = 6$ apples).
His wife uses 10 apples for each of the 2 pies ($10 \times 2 = 20$ apples).
Total apples used: $6 + 20 = 26$.
Apples remaining: $50 - 26 = 24$.
Answer: 24 | 24 | gsm8k | reason | null |
null | Glorpzle | null | null | copy | Use the reference note below if it is relevant to the question.
[Reference note] Question: Who is the leader of Grasnixdror? Answer: Glorpzle
Answer this question with only the short answer, no explanation.
Question: Who is the leader of Grasnixdror? |
Emma has saved $230 in her bank account. She withdrew $60 to buy a new pair of shoes. The next week, she deposited twice as much money as she withdrew. How much is in her bank account now? | 1. **Initial Balance**: Emma starts with $230.
2. **Withdrawal**: She withdraws $60.
* Calculation: $230 - $60 = $170.
3. **Deposit**: She deposits twice the amount she withdrew ($60 \times 2 = $120).
* Calculation: $170 + $120 = $290.
Answer: $290 | 290 | gsm8k | reason | null |
What does this Python program print?
plud = []
for j in range(2):
plud.append(j * j)
print(plud[-1] + 3) | The program initializes an empty list `plud`.
It then iterates `j` from 0 to 1 (since `range(2)` produces 0 and 1).
- When `j=0`, it appends $0^2 = 0$.
- When `j=1`, it appends $1^2 = 1$.
The list `plud` becomes `[0, 1]`.
The last element `plud[-1]` is `1`.
Finally, it prints `1 + 3`, which equals `4`.
Answer: 4 | 4 | codetrace | reason | null |
Nida has 50 chocolates in which some are in 3 filled boxes and 5 pieces are not in a box. Her friend brought 25 pieces of chocolates. If all chocolates must be placed in a box, how many more boxes do they need? | First, calculate the number of chocolates currently in boxes. Nida has 50 chocolates total, and 5 are not in a box.
$50 - 5 = 45$ chocolates are in boxes.
Since these are in 3 filled boxes, each box contains $45 / 3 = 15$ chocolates.
Next, determine the total number of chocolates after the friend arrives.
$45 + 25 = 7... | 2 | gsm8k | reason | null |
Brimppru is heavier than Snedrarnbrar. Vromzlar is heavier than Brimppru. Who is the lightest? Choose: (A) Brimppru (B) Vromzlar (C) Snedrarnbrar. | 1. Compare Brimppru and Snedrarnbrar: Brimppru is heavier than Snedrarnbrar.
2. Compare Vromzlar and Brimppru: Vromzlar is heavier than Brimppru.
3. Combine the relationships: Vromzlar > Brimppru > Snedrarnbrar.
4. Identify the lightest: Snedrarnbrar is at the bottom of the chain.
Answer: (C) | C | ordering | reason | null |
Skimdgra is heavier than Skansnu. Zlidgre is heavier than Skimdgra. Skansnu is heavier than Drelfflo. Drelfflo is heavier than Vrorkvrar. Vrorkvrar is heavier than Plarkblor. Who is the lightest? Choose: (A) Skansnu (B) Skimdgra (C) Drelfflo (D) Zlidgre (E) Vrorkvrar (F) Plarkblor. | Let's order the characters from heaviest to lightest based on the statements:
1. Zlidgre > Skimdgra
2. Skimdgra > Skansnu
3. Skansnu > Drelfflo
4. Drelfflo > Vrorkvrar
5. Vrorkvrar > Plarkblor
Combining these inequalities gives the full chain:
Zlidgre > Skimdgra > Skansnu > Drelfflo > Vrorkvrar > Plarkblor.
The light... | F | ordering | reason | null |
Grarnplel starts with 5 prozgres. Then Grarnplel gives away 2 prozgres. Then Grarnplel gives away 1 prozgres. Then a friend doubles Grarnplel's prozgres. Then a friend doubles Grarnplel's prozgres. Then Grarnplel gives away 6 prozgres. How many prozgres does Grarnplel have now? | 1. Start with 5 prozgres.
2. Give away 2: $5 - 2 = 3$.
3. Give away 1: $3 - 1 = 2$.
4. Friend doubles: $2 \times 2 = 4$.
5. Friend doubles again: $4 \times 2 = 8$.
6. Give away 6: $8 - 6 = 2$.
Answer: 2 | 2 | arithmetic | reason | null |
Blefpre is faster than Brobtrel. Snuznimnple is faster than Bradplar. Skorthtrel is faster than Zlorrnplim. Zlorrnplim is faster than Blefpre. Brobtrel is faster than Snuznimnple. Who is the slowest? Choose: (A) Bradplar (B) Snuznimnple (C) Brobtrel (D) Zlorrnplim (E) Blefpre (F) Skorthtrel. | Let's order the characters from fastest to slowest based on the given statements:
1. **Skorthtrel** > Zlorrnplim
2. **Zlorrnplim** > Blefpre
3. **Blefpre** > Brobtrel
4. **Brobtrel** > Snuznimnple
5. **Snuznimnple** > Bradplar
Combining these inequalities creates a single chain:
Skorthtrel > Zlorrnplim > Blefpre... | A | ordering | reason | null |
null | Zlimflorpgri | null | null | copy | Use the reference note below if it is relevant to the question.
[Reference note] Question: What is the capital of Tragloxsne? Answer: Zlimflorpgri
Answer this question with only the short answer, no explanation.
Question: What is the capital of Tragloxsne? |
Emma is planning a dinner party, so she went to a shop to buy the products she needs. She bought 8 kg of cheese and 7 kg of vegetables. One kilogram of cheese costs $4 and one kilogram of vegetable costs is $2 more expensive. How much did she pay for her shopping? | First, determine the cost of the vegetables. Since one kilogram of vegetables costs $2 more than the cheese ($4), the price per kg of vegetables is $4 + $2 = $6.
Next, calculate the total cost for the cheese: 8 kg * $4/kg = $32.
Then, calculate the total cost for the vegetables: 7 kg * $6/kg = $42.
Finally, add the ... | 74 | gsm8k | reason | null |
Blitrimgskar is heavier than Trimfzli. Blaxpra is heavier than Blikrimkgrim. Grupsnor is heavier than Flisnaxske. Blikrimkgrim is heavier than Grupsnor. Trimfzli is heavier than Blaxpra. Who is the lightest? Choose: (A) Blaxpra (B) Grupsnor (C) Flisnaxske (D) Trimfzli (E) Blitrimgskar (F) Blikrimkgrim. | Let's order the entities by weight based on the given statements:
1. Blitrimgskar > Trimfzli
2. Blaxpra > Blikrimkgrim
3. Grupsnor > Flisnaxske
4. Blikrimkgrim > Grupsnor
5. Trimfzli > Blaxpra
Combining these inequalities:
- From (1) and (5): Blitrimgskar > Trimfzli > Blaxpra
- From (2) and (4): Blaxpra > Blikri... | C | ordering | reason | null |
Evaluate the following boolean expression: (((True or True) or (not False)) or (not (False and False))). Answer True or False. | Let's evaluate the expression step by step:
1. **Innermost parentheses**: `(True or True)` evaluates to `True`.
2. **Next**: `(not False)` evaluates to `True`.
3. **Next**: `(False and False)` evaluates to `False`.
4. **Next**: `not (False)` (from step 3) evaluates to `True`.
5. **Combine results**: The expressio... | True | boolean | reason | null |
In ancient China, soldiers positioned in beacon towers along the Great Wall would send smoke signals to warn of impending attacks. Since the towers were located at 5 kilometer intervals, they could send a signal the length of the Great Wall. If the Great wall was 7300 kilometers long, and every tower had two soldiers... | To find the combined number of soldiers, we first determine the number of beacon towers. The Great Wall is 7300 km long, and towers are placed at 5 km intervals. The number of intervals (and thus towers) is calculated by dividing the total length by the interval distance: $7300 / 5 = 1460$ towers.
Next, we calculate t... | 2920 | gsm8k | reason | null |
Tom is binge-watching a show on Netflix. The show has 90 episodes, each one of which is 20 minutes long because there are no commercials. If Tom can spend two hours a day watching the show, how many days will it take him to finish watching the show? | First, calculate the total duration of the show in minutes:
90 episodes $\times$ 20 minutes/episode = 1800 minutes.
Next, determine how many minutes Tom can watch per day:
2 hours $\times$ 60 minutes/hour = 120 minutes/day.
Finally, divide the total minutes by the daily viewing time to find the number of days:
1800 m... | 15 | gsm8k | reason | null |
null | To find the price per action figure, we first determine the total amount Lee needs to earn from selling them.
1. **Calculate the remaining cost of the sneakers:**
Total Cost - Current Savings = Amount Needed
$90 - $15 = $75
2. **Calculate the total amount earned from selling figures:**
The problem state... | null | null | distract | Reference material (may be irrelevant):
[Reference note] Question: What is the capital of Krarfbrim? Answer: Znorthbri
Solve this problem step by step. Keep the reasoning brief. End your response with a line of the form 'Answer: <final answer>'.
Lee is saving up for a new pair of sneakers which cost $90. He already h... |
There were 10000 spectators at a basketball match. 7000 of them were men. Of the remaining spectators, there were 5 times as many children as women. How many children were there? | First, determine the number of non-men spectators:
$10,000 - 7,000 = 3,000$.
Let $W$ be the number of women and $C$ be the number of children.
We know $W + C = 3,000$ and $C = 5W$.
Substitute $C$ in the first equation:
$W + 5W = 3,000$
$6W = 3,000$
$W = 500$.
Now calculate the number of children:
$C = 5 \times 500 = ... | 2500 | gsm8k | reason | null |
Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for 5 hours a week of piano lessons. How much more does she spend on piano lessons than clarinet lessons in a year? | First, calculate Janet's annual cost for clarinet lessons:
- Hourly rate: $40
- Hours per week: 3
- Weeks per year: 52
- Annual cost = $40 \times 3 \times 52 = \$6,240$
Next, calculate her annual cost for piano lessons:
- Hourly rate: $28
- Hours per week: 5
- Weeks per year: 52
- Annual cost = $28 \times 5 \times 52 ... | 1040 | gsm8k | reason | null |
null | First, calculate the total cost of the items:
$4.20 (bread) + $2.05 (cheese) = $6.25.
Next, determine the total change Mark is owed:
$7.00 (paid) - $6.25 (cost) = $0.75.
Now, account for the coins the cashier has:
- 1 quarter = $0.25
- 1 dime = $0.10
- Total value of known coins = $0.25 + $0.10 = $0.35.
Subtract the... | null | null | distract | Reference material (may be irrelevant):
[Reference note] Question: What is the currency of Znekznar? Answer: Drudskel
Solve this problem step by step. Keep the reasoning brief. End your response with a line of the form 'Answer: <final answer>'.
Mark buys a loaf of bread for $4.20 and some cheese for $2.05. He gives t... |
On a construction site, the Laker cement factory provided 500 bags of cement sold to Mr. Zander at $10 per bag. Mr. Zander also received twenty lorries of construction sand, each carrying 10 tons of sand, sold at $40 per ton. How much money did Mr. Zander pay for these construction materials? | First, calculate the cost of the cement:
500 bags × $10/bag = $5,000.
Next, calculate the total tons of sand:
20 lorries × 10 tons/lorry = 200 tons.
Then, calculate the cost of the sand:
200 tons × $40/ton = $8,000.
Finally, add the costs together to find the total payment:
$5,000 + $8,000 = $13,000.
Answer: $13,00... | 13000 | gsm8k | reason | null |
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scram-curriculum: the training set behind Scram-0.8B
17,837 verified teacher traces. This is the complete supervised fine-tuning set used to train negativevoid/Scram-0.8B-6bit, published so the recipe is checkable rather than merely described.
How it was made
Traces were generated by Qwen3.5-4B and Qwen3.5-9B, then kept only if the final answer exactly matched gold. Roughly 7% of generations were discarded by that filter. Verification is final-answer-only: no one checked that the intermediate reasoning is sound, so a trace can reach the right answer by a wrong route. Treat the reasoning as teacher output, not as ground truth.
Composition
| kind | rows | what it teaches |
|---|---|---|
| reason | 10,612 | multi-step chains (arithmetic 1,241 · syllogism 1,653 · ordering 1,566 · boolean 1,944 · codetrace 1,343 · gsm8k 3,665) |
| tool | 1,595 | JSON-convention tool calls |
| copy | 1,200 | retrieval-grounded answering from notes |
| pytool | 1,000 | pythonic call convention |
| negation | 800 | scope and negation handling |
| distract | 600 | irrelevant-note resistance |
| synth | 600 | multi-note synthesis |
| factory-pos / factory-ref | 400 / 300 | schema-driven call construction and its refusal corner |
| missing-param | 400 | asking for absent arguments instead of inventing them |
| refusal | 330 | declining out-of-scope requests |
The refusal splits are deliberately class-separated. We found the classes do not cross-transfer: teaching wrong-tool refusal does nothing for missing-param refusal. Class coverage mattered more than data volume.
Provenance and licensing
- 3,665 rows (21%) are GSM8K-derived — questions from openai/gsm8k train split (MIT), with traces generated by us. Consequence: any GSM8K evaluation of the resulting model measures trained capability, not transfer. Disjointness from the frozen probe is asserted by exact question match at build time.
- The remaining reasoning items are fully synthetic with zero real-world entities (invented nouns like "Kreskarnpre", "zlupsnus"), so they cannot be answered from memorized world knowledge.
- Tool schemas are synthetic. The model consequently underperforms on real-world function inventories (BFCL simple AST 46 vs Hammer2.1-0.5b's 66) — if you fine-tune on this, expect to add your own domain schemas.
- Teacher outputs come from Qwen3.5 (Apache-2.0). This dataset is Apache-2.0.
Eval hygiene
Checked at publication: zero overlap between these 17,809 unique prompts and every held-out suite used to evaluate the model (reason n=300, heldout n=80, gsm8k probe n=100, know n=301). The evaluation instruments themselves are deliberately not published — releasing them would contaminate them for everyone.
Format
One JSON object per line:
{"question": "...", "trace": "...", "answer": "D", "family": "ordering", "kind": "reason"}
Rows of kind: tool/pytool/refusal etc. use prompt instead of question and
carry no answer field (the trace is the target).
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