question stringlengths 18 659 | answer stringlengths 1 161 | metadata unknown | source_dataset stringclasses 5
values | source_index int64 0 500k | difficulty stringclasses 5
values |
|---|---|---|---|---|---|
A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 2 inhabitants: Olivia, and Lily. "Lily is a laggard and Lily is a pioneer" - Olivia. Lily noted, "if Olivia is a pioneer then Lily is a pioneer". So who is a pioneer and who is a laggard? ... | Olivia is a laggard, and Lily is a pioneer. | {
"source_dataset": "knights_knaves",
"source_index": 0,
"statements": [
[
"and",
[
"lying",
1
],
[
"telling-truth",
1
]
],
[
"->",
[
"telling-truth",
0
],
[
"telling-truth",
1
]... | knights_knaves | 0 | {"n_people": 2, "depth_constraint": 2, "width_constraint": 2} |
If Robert eats 6 eggs a day for 48 days and then increases it to 8 eggs a day for 57 days, how many dozens of eggs will Robert need for 105 days? Give the result as your final answer. Do not include units. | 62 | {
"difficulty": 1,
"answer_value": 62,
"answer_cot": "He starts off eating 6 eggs a day for 48 days for a total of 6*48 = 288 eggs\nThen he increases it to 8 eggs a day for 57 days for a total of 8*57 = 456 eggs\nAll total he will eat 288+456 = 744 eggs\nThere are 12 eggs in 1 dozen and he will eat 744 eggs which... | gsm_symbolic | 1 | 1.0 |
Find the value of c in the equation: 82*c - 152 = 258 | 5 | {
"source_dataset": "simple_equations",
"source_index": 2,
"equation": "82*c - 152 = 258",
"variable": "c",
"difficulty": {
"min_terms": 2,
"max_terms": 4,
"min_value": 1,
"max_value": 100,
"operators_weights": [
0.4,
0.4,
0.2
]
}
} | simple_equations | 2 | {"min_terms": 2, "max_terms": 4, "min_value": 1, "max_value": 100, "operators_weights": [0.4, 0.4, 0.2]} |
Mr. Miller sold his house for $620000. He paid the legal fees that amount to 2% of the selling price and also paid a realtor fee that is 7% of the selling price. If he also paid $430000 for the remaining loan amount of the house, how much is Mr. Miller's net proceeds from selling the house? Give the result as your fina... | 134200 | {
"difficulty": 1,
"answer_value": 134200,
"answer_cot": "Mr. Miller paid $620000 x 2/100 = $12400 for the legal fees.\nHe paid $620000 x 7/100 = $43400 for the realtor fee.\nSo, Mr. Miller paid a total of $12400 + $43400 + $430000 = $485800 for the legal, realtor, and loan fees.\nHence, Mr. Miller's net proceeds... | gsm_symbolic | 3 | 1.0 |
Find the indefinite integral: ∫ -216*x**8/5 + 35*x**6/8 dx
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write... | -24*x**9/5 + 5*x**7/8 + C | {
"source_dataset": "simple_integration",
"source_index": 4,
"integrand": "-216*x**8/5 + 35*x**6/8",
"variable": "x",
"num_terms": 3,
"difficulty": {
"terms": [
2,
5
]
}
} | simple_integration | 4 | {"terms": [2, 5]} |
Determine the value of c that satisfies: 795 - 66*c = -5673 | 98 | {
"source_dataset": "simple_equations",
"source_index": 5,
"equation": "795 - 66*c = -5673",
"variable": "c",
"difficulty": {
"min_terms": 2,
"max_terms": 4,
"min_value": 1,
"max_value": 100,
"operators_weights": [
0.4,
0.4,
0.2
]
}
} | simple_equations | 5 | {"min_terms": 2, "max_terms": 4, "min_value": 1, "max_value": 100, "operators_weights": [0.4, 0.4, 0.2]} |
A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 2 inhabitants: Abigail, and Lily. "Lily is a sage," Abigail mentioned. As Lily put it, "Abigail is a fool or Abigail is a sage". So who is a sage and who is a fool? (Format your answer like: "Abigail ... | Abigail is a sage, and Lily is a sage. | {
"source_dataset": "knights_knaves",
"source_index": 6,
"statements": [
[
"not",
[
"lying",
1
]
],
[
"or",
[
"lying",
0
],
[
"telling-truth",
0
]
]
],
"solution": [
true,
true
],
"names... | knights_knaves | 6 | {"n_people": 2, "depth_constraint": 2, "width_constraint": 2} |
Isabella was preparing for a potluck party at her house, where she intended to serve beef stew. She noticed that she was out of plastic plates, so she bought a new package of plates. Later, her husband also bought a package of 12 new plates and gave them to Isabella. While Isabella was making the beef stew, she used 8 ... | 25 | {
"difficulty": 1,
"answer_value": 25,
"answer_cot": "The total number of plates from Isabella and her husband was 29+8=37 plates.\nSince the husband bought a package of 12 plates, then Isabella's package contained 37-12=25 plates.\n#### 25",
"variables": {
"name": "Isabella",
"event": "potluck party",
... | gsm_symbolic | 7 | 1.0 |
Find the value of i in the equation: 93 - 48*i = -771 | 18 | {
"source_dataset": "simple_equations",
"source_index": 8,
"equation": "93 - 48*i = -771",
"variable": "i",
"difficulty": {
"min_terms": 2,
"max_terms": 4,
"min_value": 1,
"max_value": 100,
"operators_weights": [
0.4,
0.4,
0.2
]
}
} | simple_equations | 8 | {"min_terms": 2, "max_terms": 4, "min_value": 1, "max_value": 100, "operators_weights": [0.4, 0.4, 0.2]} |
There are 101 first-graders at Oak Ridge School. 74 of them are girls. On Friday, 4 first-grade girls and 5 first-grade boys were absent. How many first grade boys were at Oak Ridge School on Friday? Give the result as your final answer. Do not include units. | 22 | {
"difficulty": 1,
"answer_value": 22,
"answer_cot": "Of the 101 first graders, 74 are girls, so 101 students - 74 girls = 27 boys.\nOn Friday there were 27 boys - 5 absent = 22 boys.\n#### 22",
"variables": {
"total_students": 101,
"grade": "first",
"school_name": "Oak Ridge",
"num_girls": 74,
... | gsm_symbolic | 9 | 1.0 |
Evaluate the indefinite integral: ∫ -36*X**8 + 49*X**6/6 dx
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, writ... | -4*X**9 + 7*X**7/6 + C | {
"source_dataset": "simple_integration",
"source_index": 10,
"integrand": "-36*X**8 + 49*X**6/6",
"variable": "X",
"num_terms": 2,
"difficulty": {
"terms": [
2,
5
]
}
} | simple_integration | 10 | {"terms": [2, 5]} |
A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 2 inhabitants: Aria, and Jacob. "Jacob is a saint" - Aria. "Aria is a sinner and Aria is a saint," Jacob declared. So who is a saint and who is a sinner? (Format your answer like: "Aria is a sai... | Aria is a sinner, and Jacob is a sinner. | {
"source_dataset": "knights_knaves",
"source_index": 11,
"statements": [
[
"telling-truth",
1
],
[
"and",
[
"lying",
0
],
[
"telling-truth",
0
]
]
],
"solution": [
false,
false
],
"names": [
"Aria",
... | knights_knaves | 11 | {"n_people": 2, "depth_constraint": 2, "width_constraint": 2} |
Evaluate the indefinite integral: ∫ -56*x**6 + 15*x**5 + 15*x**4/2 dx
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For exa... | -8*x**7 + 5*x**6/2 + 3*x**5/2 + C | {
"source_dataset": "simple_integration",
"source_index": 12,
"integrand": "-56*x**6 + 15*x**5 + 15*x**4/2",
"variable": "x",
"num_terms": 3,
"difficulty": {
"terms": [
2,
5
]
}
} | simple_integration | 12 | {"terms": [2, 5]} |
James has a bag of beads with 100 inside. He tripped over toy while carrying it and dropped 25 of them. He scrambled to search for them but only came up with 7. When he went back home, he inspected the beads further. 5 of them he picked up wasn't a beads, but actually pebbles so he got rid of it. How many beads did Jam... | 77 | {
"difficulty": 1,
"answer_value": 77,
"answer_cot": "James dropped his beads and was left with 100*0.75=75 beads.\nHe searched and found some of his lost beads, getting him back to 75+7=82 beads.\nHe went home and removed pebbles, leaving him with 82-5=77 beads.\n#### 77",
"variables": {
"name": "James",
... | gsm_symbolic | 13 | 1.0 |
Find the indefinite integral: ∫ -56*x**7 - 48*x**5 - 30*x**4 dx
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, ... | -7*x**8 - 8*x**6 - 6*x**5 + C | {
"source_dataset": "simple_integration",
"source_index": 14,
"integrand": "-56*x**7 - 48*x**5 - 30*x**4",
"variable": "x",
"num_terms": 5,
"difficulty": {
"terms": [
2,
5
]
}
} | simple_integration | 14 | {"terms": [2, 5]} |
On Saturday, James wants to exercise for 2 the amount of time he did on Sunday and Tuesday combined. On Tuesday he exercised for 22 minutes. On Sunday he exercised for 38 minutes. How many minutes does he have to exercise on Saturday to reach his goal? Give the result as your final answer. Do not include units. | 120 | {
"difficulty": 1,
"answer_value": 120,
"answer_cot": "On Tuesday and Sunday he exercised a total of 60 minutes because 22 + 38 = 60\nOn Saturday he has to exercise for 120 minutes because 60 x 2 = 120\n#### 120",
"variables": {
"name": "James",
"day1": "Tuesday",
"day2": "Sunday",
"day3": "Satu... | gsm_symbolic | 15 | 1.0 |
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 2 inhabitants: Sebastian, and Zoey. "Zoey is a knight or Zoey is a knave," Sebastian claimed. Zoey remarked, "Sebastian is a knight". So who is a knight and who is a knave? (Format your answer l... | Sebastian is a knight, and Zoey is a knight. | {
"source_dataset": "knights_knaves",
"source_index": 16,
"statements": [
[
"or",
[
"telling-truth",
1
],
[
"lying",
1
]
],
[
"telling-truth",
0
]
],
"solution": [
true,
true
],
"names": [
"Sebastian",
... | knights_knaves | 16 | {"n_people": 2, "depth_constraint": 2, "width_constraint": 2} |
Sophia and Ava are currently 24 years apart in age. If Sophia, who is younger than Ava, is 24 years old, what's the average of their ages? Give the result as your final answer. Do not include units. | 36 | {
"difficulty": 1,
"answer_value": 36,
"answer_cot": "If Sophia is 24 years old, Ava is 24+24 = 48 years old.\nThe sum of their ages is 48+24 = 72 years\nThe average age of the two is 72/2 = 36 years\n#### 36",
"variables": {
"name1": "Sophia",
"name2": "Ava",
"age_diff": 24,
"age1": 24,
"ag... | gsm_symbolic | 17 | 1.0 |
Find the value of s in the equation: 360*s = 16560 | 46 | {
"source_dataset": "simple_equations",
"source_index": 18,
"equation": "360*s = 16560",
"variable": "s",
"difficulty": {
"min_terms": 2,
"max_terms": 4,
"min_value": 1,
"max_value": 100,
"operators_weights": [
0.4,
0.4,
0.2
]
}
} | simple_equations | 18 | {"min_terms": 2, "max_terms": 4, "min_value": 1, "max_value": 100, "operators_weights": [0.4, 0.4, 0.2]} |
Find the value of o in the equation: 12*o + 71 = 1091 | 85 | {
"source_dataset": "simple_equations",
"source_index": 19,
"equation": "12*o + 71 = 1091",
"variable": "o",
"difficulty": {
"min_terms": 2,
"max_terms": 4,
"min_value": 1,
"max_value": 100,
"operators_weights": [
0.4,
0.4,
0.2
]
}
} | simple_equations | 19 | {"min_terms": 2, "max_terms": 4, "min_value": 1, "max_value": 100, "operators_weights": [0.4, 0.4, 0.2]} |
Calculate the antiderivative: ∫ 2/3 - 35*x**4/9 dx
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**... | -7*x**5/9 + 2*x/3 + C | {
"source_dataset": "simple_integration",
"source_index": 20,
"integrand": "2/3 - 35*x**4/9",
"variable": "x",
"num_terms": 2,
"difficulty": {
"terms": [
2,
5
]
}
} | simple_integration | 20 | {"terms": [2, 5]} |
Determine the value of n that satisfies: 8 - 59*n = -2588 | 44 | {
"source_dataset": "simple_equations",
"source_index": 21,
"equation": "8 - 59*n = -2588",
"variable": "n",
"difficulty": {
"min_terms": 2,
"max_terms": 4,
"min_value": 1,
"max_value": 100,
"operators_weights": [
0.4,
0.4,
0.2
]
}
} | simple_equations | 21 | {"min_terms": 2, "max_terms": 4, "min_value": 1, "max_value": 100, "operators_weights": [0.4, 0.4, 0.2]} |
Determine the value of c that satisfies: 1848*c - 58 = 23966 | 13 | {
"source_dataset": "simple_equations",
"source_index": 22,
"equation": "1848*c - 58 = 23966",
"variable": "c",
"difficulty": {
"min_terms": 2,
"max_terms": 4,
"min_value": 1,
"max_value": 100,
"operators_weights": [
0.4,
0.4,
0.2
]
}
} | simple_equations | 22 | {"min_terms": 2, "max_terms": 4, "min_value": 1, "max_value": 100, "operators_weights": [0.4, 0.4, 0.2]} |
Solve for c: 54*c + 99 = 4257 | 77 | {
"source_dataset": "simple_equations",
"source_index": 23,
"equation": "54*c + 99 = 4257",
"variable": "c",
"difficulty": {
"min_terms": 2,
"max_terms": 4,
"min_value": 1,
"max_value": 100,
"operators_weights": [
0.4,
0.4,
0.2
]
}
} | simple_equations | 23 | {"min_terms": 2, "max_terms": 4, "min_value": 1, "max_value": 100, "operators_weights": [0.4, 0.4, 0.2]} |
I have 15 liters of apple drink that are 0.5 water and I wish to add it to 20 liters of lemon drink that is 0.5 water. But as I pour it, I spill 7 liter of the apple drink. How much water is in the remaining 28 liters? Give the result as your final answer. Do not include units. | 14 | {
"difficulty": 1,
"answer_value": 14,
"answer_cot": "There are 20 x 0.5 = 10.0 liters of water from the 20 liters lemon drink.\nAfter 7 liter of apple drink was spilled, there were 15 - 7 = 8 liters of apple drink left.\nOut of the 8 liters, 8 x 0.5 = 4.0 liters are water.\nThus, there are a total of 10.0 + 4.0 ... | gsm_symbolic | 24 | 1.0 |
Charlotte's uncle said that she had $315 budgeted for her birthday party. She wants to make sure she and her friends all get to play one round of laser tag, have $9 in pinball tokens, and get to ride the roller coaster 2. A round of laser tag is $10. The roller coaster cost $13 a ride. How many friends can she invite? ... | 6 | {
"difficulty": 1,
"answer_value": 6,
"answer_cot": "The roller coaster will cost $26 per person because 13 x 2 = 26\nEach person costs $45 because 9 + 10 + 26 = 45\n7 total people can attend because 315 / 45 = 7\nShe can invite 6 friends because 7 - 1 = 6\n#### 6",
"variables": {
"name": "Charlotte",
"... | gsm_symbolic | 25 | 1.0 |
Solve this Sudoku puzzle:
_ _ 9 2 8 3 _ _ _
7 _ _ _ _ 4 _ _ _
_ 3 _ 6 _ 5 1 4 9
1 2 _ _ 5 7 _ 9 6
_ _ 7 _ 1 _ 3 _ 5
_ _ 5 _ _ _ 2 7 _
2 _ _ _ 6 1 _ _ 4
9 _ _ 5 2 _ _ _ _
_ 6 1 _ 3 9 7 2 _
Respond with only your answer, formatted as the puzzle, a 9x9 grid with numbers separated by spaces, and rows separated by newlines. | 4 1 9 2 8 3 5 6 7
7 5 6 1 9 4 8 3 2
8 3 2 6 7 5 1 4 9
1 2 8 3 5 7 4 9 6
6 4 7 9 1 2 3 8 5
3 9 5 8 4 6 2 7 1
2 8 3 7 6 1 9 5 4
9 7 4 5 2 8 6 1 3
5 6 1 4 3 9 7 2 8 | {
"source_dataset": "sudoku",
"source_index": 26,
"puzzle": [
[
0,
0,
9,
2,
8,
3,
0,
0,
0
],
[
7,
0,
0,
0,
0,
4,
0,
0,
0
],
[
0,
3,
0,
6,
0,
5,
... | sudoku | 26 | {"empty": [30, 50]} |
A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 2 inhabitants: Ava, and Benjamin. In Ava's words: "if Benjamin is a devil then Benjamin is an angel". Benjamin asserted: "Ava is an angel and Ava is a devil". So who is an angel and who is a devil... | Ava is a devil, and Benjamin is a devil. | {
"source_dataset": "knights_knaves",
"source_index": 27,
"statements": [
[
"->",
[
"lying",
1
],
[
"telling-truth",
1
]
],
[
"and",
[
"telling-truth",
0
],
[
"lying",
0
]
]
... | knights_knaves | 27 | {"n_people": 2, "depth_constraint": 2, "width_constraint": 2} |
Calculate the antiderivative: ∫ -20*X**9/3 - 36*X**7 - 7*X**6/8 + 12*X**3 - 12*X dx
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning ... | -2*X**10/3 - 9*X**8/2 - X**7/8 + 3*X**4 - 6*X**2 + C | {
"source_dataset": "simple_integration",
"source_index": 28,
"integrand": "-20*X**9/3 - 36*X**7 - 7*X**6/8 + 12*X**3 - 12*X",
"variable": "X",
"num_terms": 5,
"difficulty": {
"terms": [
2,
5
]
}
} | simple_integration | 28 | {"terms": [2, 5]} |
Solve for i: 60*i + 62 = 662 | 10 | {
"source_dataset": "simple_equations",
"source_index": 29,
"equation": "60*i + 62 = 662",
"variable": "i",
"difficulty": {
"min_terms": 2,
"max_terms": 4,
"min_value": 1,
"max_value": 100,
"operators_weights": [
0.4,
0.4,
0.2
]
}
} | simple_equations | 29 | {"min_terms": 2, "max_terms": 4, "min_value": 1, "max_value": 100, "operators_weights": [0.4, 0.4, 0.2]} |
A painter works for 5 weeks every month and for 5 days every week. If he gets paid $185 every day, how much does he earn if he works for a year? Give the result as your final answer. Do not include units. | 55500 | {
"difficulty": 1,
"answer_value": 55500,
"answer_cot": "The painter works for 5 days every week and works for 5 weeks every month so he works for 5 days/week * 5 weeks/month = 25 days/month\nIf he earns $185 every day he then earns $185/day * 25 days/month = $4625/month\nA year is equal to 12 months so every yea... | gsm_symbolic | 30 | 1.0 |
According to its nutritional info, a bag of cookies has 175 calories per serving. If a 36 oz bag has 4 servings, how many oz can you eat if your daily calorie target is 1425 and you have already consumed 1075 calories? Give the result as your final answer. Do not include units. | 18 | {
"difficulty": 1,
"answer_value": 18,
"answer_cot": "If the total calorie target is 1425 and I have consumed 1075 calories then I have 1425-1075 = 350 calories left to eat\nIf each serving of cookies has 175 calories and I only have 350 calories left to eat, then I can only eat 350/175 of a serving = 2 of a serv... | gsm_symbolic | 31 | 1.0 |
Find the indefinite integral: ∫ -16*X**7 + 12*X**5 - 4*X**3 dx
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, w... | -2*X**8 + 2*X**6 - X**4 + C | {
"source_dataset": "simple_integration",
"source_index": 32,
"integrand": "-16*X**7 + 12*X**5 - 4*X**3",
"variable": "X",
"num_terms": 3,
"difficulty": {
"terms": [
2,
5
]
}
} | simple_integration | 32 | {"terms": [2, 5]} |
Find the value of z in the equation: 465*z + 806 = 37541 | 79 | {
"source_dataset": "simple_equations",
"source_index": 33,
"equation": "465*z + 806 = 37541",
"variable": "z",
"difficulty": {
"min_terms": 2,
"max_terms": 4,
"min_value": 1,
"max_value": 100,
"operators_weights": [
0.4,
0.4,
0.2
]
}
} | simple_equations | 33 | {"min_terms": 2, "max_terms": 4, "min_value": 1, "max_value": 100, "operators_weights": [0.4, 0.4, 0.2]} |
Determine the value of g that satisfies: 39 - 96*g = -441 | 5 | {
"source_dataset": "simple_equations",
"source_index": 34,
"equation": "39 - 96*g = -441",
"variable": "g",
"difficulty": {
"min_terms": 2,
"max_terms": 4,
"min_value": 1,
"max_value": 100,
"operators_weights": [
0.4,
0.4,
0.2
]
}
} | simple_equations | 34 | {"min_terms": 2, "max_terms": 4, "min_value": 1, "max_value": 100, "operators_weights": [0.4, 0.4, 0.2]} |
Solve this Sudoku puzzle:
_ _ 2 3 _ _ _ 6 _
_ _ 5 9 _ 7 _ _ 2
_ 8 9 _ _ 5 _ _ _
1 _ 6 _ 8 _ _ _ 4
_ 9 _ _ _ _ 2 _ 3
_ 5 _ _ 9 _ _ 8 1
_ 4 _ 6 2 _ _ _ _
_ 7 _ _ 3 _ 1 2 9
_ _ 1 8 _ _ 3 4 _
Respond with only your answer, formatted as the puzzle, a 9x9 grid with numbers separated by spaces, and rows separated by newlines. | 7 1 2 3 4 8 9 6 5
4 6 5 9 1 7 8 3 2
3 8 9 2 6 5 4 1 7
1 3 6 7 8 2 5 9 4
8 9 4 1 5 6 2 7 3
2 5 7 4 9 3 6 8 1
9 4 3 6 2 1 7 5 8
6 7 8 5 3 4 1 2 9
5 2 1 8 7 9 3 4 6 | {
"source_dataset": "sudoku",
"source_index": 35,
"puzzle": [
[
0,
0,
2,
3,
0,
0,
0,
6,
0
],
[
0,
0,
5,
9,
0,
7,
0,
0,
2
],
[
0,
8,
9,
0,
0,
5,
... | sudoku | 35 | {"empty": [30, 50]} |
Find the indefinite integral: ∫ 70*X**6/3 + 10*X**3 + 24*X**2 dx
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example,... | 10*X**7/3 + 5*X**4/2 + 8*X**3 + C | {
"source_dataset": "simple_integration",
"source_index": 36,
"integrand": "70*X**6/3 + 10*X**3 + 24*X**2",
"variable": "X",
"num_terms": 5,
"difficulty": {
"terms": [
2,
5
]
}
} | simple_integration | 36 | {"terms": [2, 5]} |
David has a plant stand at the town square. He sells three kinds of plants: tulips, orchids and lilies. He usually sells tulips for $2.51 per bouquet, orchids for $5.01 per bouquet and lilies for $6.52 per bouquet. David has no change today, so he has decided to round all his prices to the nearest dollar. If David sell... | 382 | {
"difficulty": 1,
"answer_value": 382,
"answer_cot": "David will round his tulips up from $2.51 to $3, since the number following the 2 is 5 or higher.\nDavid will round his orchids down from $5.01 to $5, since the number following the 5 is less than 5.\nDavid will round his lilies up from $6.52 to $7, since the... | gsm_symbolic | 37 | 1.0 |
Ava walks 25 kilometers every day on her favorite walking trail, which includes 12 kilometers of walking on the beach and 13 kilometers of walking on the sidewalk. On the sidewalk, Ava walks at twice the rate of speed that she does on the beach. If 60 minutes of her walk is spent on the beach, how long does it take for... | 92 | {
"difficulty": 1,
"answer_value": 92,
"answer_cot": "On the beach, Ava walks at a rate of 12 kilometers per 60 minutes, or 12/60 = 1/5 kilometers per minute.\nOn the sidewalk, she walks at 2 times the rate of speed as when she is on the sand, or 2 * 1/5 = 2/5 kilometers per minute.\nTo walk 13 kilometers on the ... | gsm_symbolic | 38 | 1.0 |
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 2 inhabitants: Sophia, and Abigail. "Abigail is an egoist and Abigail is an altruist," Sophia claimed. Abigail expressed that Sophia is an egoist. So who is an altruist and who is an egois... | Sophia is an egoist, and Abigail is an altruist. | {
"source_dataset": "knights_knaves",
"source_index": 39,
"statements": [
[
"and",
[
"lying",
1
],
[
"telling-truth",
1
]
],
[
"lying",
0
]
],
"solution": [
false,
true
],
"names": [
"Sophia",
"Abigai... | knights_knaves | 39 | {"n_people": 2, "depth_constraint": 2, "width_constraint": 2} |
Jordan went to their allotment to pick some strawberries and found half as many caterpillars as beetles in the field. If there were 32 beetles, calculate the total number of insects in the field. Give the result as your final answer. Do not include units. | 48 | {
"difficulty": 1,
"answer_value": 48,
"answer_cot": "If there were 32 beetles, the total number of caterpillars in the field is half * 32 beetles = 16 caterpillars\nThe total number of insects in the field is 16 caterpillars + 32 beetles = 48 insects\n#### 48",
"variables": {
"name": "Jordan",
"place":... | gsm_symbolic | 40 | 1.0 |
Determine the value of g that satisfies: 3343 - 2520*g = -69737 | 29 | {
"source_dataset": "simple_equations",
"source_index": 41,
"equation": "3343 - 2520*g = -69737",
"variable": "g",
"difficulty": {
"min_terms": 2,
"max_terms": 4,
"min_value": 1,
"max_value": 100,
"operators_weights": [
0.4,
0.4,
0.2
]
}
} | simple_equations | 41 | {"min_terms": 2, "max_terms": 4, "min_value": 1, "max_value": 100, "operators_weights": [0.4, 0.4, 0.2]} |
Solve this Sudoku puzzle:
8 9 _ 2 _ 4 3 _ 7
5 1 _ _ 3 _ _ _ _
3 4 7 9 6 5 8 1 _
2 3 5 7 9 8 6 _ 1
4 8 _ _ _ 6 _ _ _
6 7 _ 1 4 _ _ 2 _
_ 6 8 3 7 _ 4 _ _
7 2 4 _ 5 9 _ _ 3
9 _ 3 4 _ _ 2 7 6
Respond with only your answer, formatted as the puzzle, a 9x9 grid with numbers separated by spaces, and rows separated by newlines. | 8 9 6 2 1 4 3 5 7
5 1 2 8 3 7 9 6 4
3 4 7 9 6 5 8 1 2
2 3 5 7 9 8 6 4 1
4 8 1 5 2 6 7 3 9
6 7 9 1 4 3 5 2 8
1 6 8 3 7 2 4 9 5
7 2 4 6 5 9 1 8 3
9 5 3 4 8 1 2 7 6 | {
"source_dataset": "sudoku",
"source_index": 42,
"puzzle": [
[
8,
9,
0,
2,
0,
4,
3,
0,
7
],
[
5,
1,
0,
0,
3,
0,
0,
0,
0
],
[
3,
4,
7,
9,
6,
5,
... | sudoku | 42 | {"empty": [30, 50]} |
John goes to the store to buy some flour. The normal brand of flour he buys costs €6 per kilogram. He had to buy a more expensive brand that costs 50% more since his favorite brand was sold out. He decides to buy a week's worth of flour and he uses 3 kilogram of flour per day. He also decided to buy himself a cookie fo... | 192 | {
"difficulty": 1,
"answer_value": 192,
"answer_cot": "The flour he bought was 6*0.5=3.0 more expensive per kilogram than what he normally buys\nSo it cost 6+3.0=9.0 per kilogram\nHe goes through 3*7=21 kilograms of flour a week\nSo he paid 9.0*21=189.0 on flour\nThat means his total bill was 189.0+3=192.0\n#### ... | gsm_symbolic | 43 | 1.0 |
Solve this Sudoku puzzle:
1 8 _ 4 _ _ _ _ 6
3 5 6 8 1 _ 9 4 2
_ 2 4 5 _ 6 _ 1 _
4 9 _ 2 6 _ _ 8 5
8 _ 5 _ _ _ 1 2 3
7 1 2 3 5 _ _ 6 _
2 7 _ _ 4 3 _ 5 _
_ 3 1 7 8 _ _ _ _
5 _ _ 6 2 9 3 7 1
Respond with only your answer, formatted as the puzzle, a 9x9 grid with numbers separated by spaces, and rows separated by newlines. | 1 8 7 4 9 2 5 3 6
3 5 6 8 1 7 9 4 2
9 2 4 5 3 6 8 1 7
4 9 3 2 6 1 7 8 5
8 6 5 9 7 4 1 2 3
7 1 2 3 5 8 4 6 9
2 7 9 1 4 3 6 5 8
6 3 1 7 8 5 2 9 4
5 4 8 6 2 9 3 7 1 | {
"source_dataset": "sudoku",
"source_index": 44,
"puzzle": [
[
1,
8,
0,
4,
0,
0,
0,
0,
6
],
[
3,
5,
6,
8,
1,
0,
9,
4,
2
],
[
0,
2,
4,
5,
0,
6,
... | sudoku | 44 | {"empty": [30, 50]} |
If Robert eats 3 eggs a day for 76 days and then increases it to 6 eggs a day for 72 days, how many dozens of eggs will Robert need for 148 days? Give the result as your final answer. Do not include units. | 55 | {
"difficulty": 1,
"answer_value": 55,
"answer_cot": "He starts off eating 3 eggs a day for 76 days for a total of 3*76 = 228 eggs\nThen he increases it to 6 eggs a day for 72 days for a total of 6*72 = 432 eggs\nAll total he will eat 228+432 = 660 eggs\nThere are 12 eggs in 1 dozen and he will eat 660 eggs which... | gsm_symbolic | 45 | 1.0 |
Solve for g: 61008*g - 74 = 2440246 | 40 | {
"source_dataset": "simple_equations",
"source_index": 46,
"equation": "61008*g - 74 = 2440246",
"variable": "g",
"difficulty": {
"min_terms": 2,
"max_terms": 4,
"min_value": 1,
"max_value": 100,
"operators_weights": [
0.4,
0.4,
0.2
]
}
} | simple_equations | 46 | {"min_terms": 2, "max_terms": 4, "min_value": 1, "max_value": 100, "operators_weights": [0.4, 0.4, 0.2]} |
Michael gets 200 emails a day. 24% of those emails don't require any response. Michael responds to the rest of them. How many emails does Michael respond to in a 7 day work week? Give the result as your final answer. Do not include units. | 1064 | {
"difficulty": 1,
"answer_value": 1064,
"answer_cot": "Michael receives 48=48 emails that don't require a response\nSo Michael responds to 200-48=152 emails per day\nIn a 7 day work week, Michael responds to 152*7=1064 emails\n#### 1064",
"variables": {
"name": "Michael",
"num_emails": 200,
"no_res... | gsm_symbolic | 47 | 1.0 |
A building is made out of 9 black cubes, 2 times as many purple cubes, and an unknown number of pink cubes. If there are 42 cubes in the building in total, how many pink cubes are there? Give the result as your final answer. Do not include units. | 15 | {
"difficulty": 1,
"answer_value": 15,
"answer_cot": "There are 9*2 = 18 purple cubes in the building.\nThere are 42-9-18 = 15 pink cubes in the building.\n#### 15",
"variables": {
"structure": "building",
"n1": 9,
"n2": 18,
"n3": 15,
"color1": "black",
"color2": "purple",
"color3": ... | gsm_symbolic | 48 | 1.0 |
Elizabeth has 12 jars of icing in her storage room. Each jar of icing can decorate 19 cupcakes. Elizabeth wants to bake enough cupcakes to use up all of her icing. If each tray holds 19 cupcakes, how many trays worth of cupcakes should she bake? Give the result as your final answer. Do not include units. | 12 | {
"difficulty": 1,
"answer_value": 12,
"answer_cot": "She has enough icing for 12 * 19 = 228 cupcakes.\nShe needs 228 / 19 = 12 trays to bake all of the cupcakes.\n#### 12",
"variables": {
"name": "Elizabeth",
"items": "icing",
"food": "cupcake",
"location": "storage room",
"container": "tra... | gsm_symbolic | 49 | 1.0 |
Solve for r: 896*r = 78848 | 88 | {
"source_dataset": "simple_equations",
"source_index": 50,
"equation": "896*r = 78848",
"variable": "r",
"difficulty": {
"min_terms": 2,
"max_terms": 4,
"min_value": 1,
"max_value": 100,
"operators_weights": [
0.4,
0.4,
0.2
]
}
} | simple_equations | 50 | {"min_terms": 2, "max_terms": 4, "min_value": 1, "max_value": 100, "operators_weights": [0.4, 0.4, 0.2]} |
Find the indefinite integral: ∫ -x**7 - 32*x**3 + 5 dx
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3... | -x**8/8 - 8*x**4 + 5*x + C | {
"source_dataset": "simple_integration",
"source_index": 51,
"integrand": "-x**7 - 32*x**3 + 5",
"variable": "x",
"num_terms": 4,
"difficulty": {
"terms": [
2,
5
]
}
} | simple_integration | 51 | {"terms": [2, 5]} |
A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 2 inhabitants: Mason, and Noah. Mason noted, "Mason is a sage or Noah is a sage". "Mason is a fool if and only if Noah is a sage," Noah claimed. So who is a sage and who is a fool? (Format your answer... | Mason is a fool, and Noah is a fool. | {
"source_dataset": "knights_knaves",
"source_index": 52,
"statements": [
[
"or",
[
"telling-truth",
0
],
[
"telling-truth",
1
]
],
[
"<=>",
[
"lying",
0
],
[
"telling-truth",
1
... | knights_knaves | 52 | {"n_people": 2, "depth_constraint": 2, "width_constraint": 2} |
Solve this Sudoku puzzle:
4 3 1 8 _ 9 _ 6 7
_ 8 5 3 1 _ _ _ _
_ 9 _ _ 6 _ _ _ 3
8 2 6 7 _ 3 4 5 _
_ _ 9 _ 8 _ 7 2 _
1 7 4 _ _ 2 3 _ _
5 _ _ 2 7 6 1 _ 9
7 _ 3 _ 4 _ 2 8 _
9 1 _ 5 _ _ 6 _ _
Respond with only your answer, formatted as the puzzle, a 9x9 grid with numbers separated by spaces, and rows separated by newlines. | 4 3 1 8 2 9 5 6 7
6 8 5 3 1 7 9 4 2
2 9 7 4 6 5 8 1 3
8 2 6 7 9 3 4 5 1
3 5 9 1 8 4 7 2 6
1 7 4 6 5 2 3 9 8
5 4 8 2 7 6 1 3 9
7 6 3 9 4 1 2 8 5
9 1 2 5 3 8 6 7 4 | {
"source_dataset": "sudoku",
"source_index": 53,
"puzzle": [
[
4,
3,
1,
8,
0,
9,
0,
6,
7
],
[
0,
8,
5,
3,
1,
0,
0,
0,
0
],
[
0,
9,
0,
0,
6,
0,
... | sudoku | 53 | {"empty": [30, 50]} |
Find the value of l in the equation: 37*l - 94 = 2274 | 64 | {
"source_dataset": "simple_equations",
"source_index": 54,
"equation": "37*l - 94 = 2274",
"variable": "l",
"difficulty": {
"min_terms": 2,
"max_terms": 4,
"min_value": 1,
"max_value": 100,
"operators_weights": [
0.4,
0.4,
0.2
]
}
} | simple_equations | 54 | {"min_terms": 2, "max_terms": 4, "min_value": 1, "max_value": 100, "operators_weights": [0.4, 0.4, 0.2]} |
The vending machines sell crackers for 55 cents and pretzels for 65 cents. John spent £1250 and got 5 bags of crackers and had 8% of his money left. How many pretzels did he buy? Give the result as your final answer. Do not include units. | 1765 | {
"difficulty": 1,
"answer_value": 1765,
"answer_cot": "John spent £1150.0 because 1250 * 0.92 = 1150.0\nJohn spent £2.75 on crackers because 5 x 0.55 = 2.75\nJohn spent 1147.25 on pretzels because 1150.0 - 2.75 = 1147.25\nJohn bought 1765 pretzels because 1147.25 / 0.65 = 1765\n#### 1765",
"variables": {
"... | gsm_symbolic | 55 | 1.0 |
Determine the value of e that satisfies: -51*e - 40 = -805 | 15 | {
"source_dataset": "simple_equations",
"source_index": 56,
"equation": "-51*e - 40 = -805",
"variable": "e",
"difficulty": {
"min_terms": 2,
"max_terms": 4,
"min_value": 1,
"max_value": 100,
"operators_weights": [
0.4,
0.4,
0.2
]
}
} | simple_equations | 56 | {"min_terms": 2, "max_terms": 4, "min_value": 1, "max_value": 100, "operators_weights": [0.4, 0.4, 0.2]} |
Determine the value of s that satisfies: 70 - 7*s = -126 | 28 | {
"source_dataset": "simple_equations",
"source_index": 57,
"equation": "70 - 7*s = -126",
"variable": "s",
"difficulty": {
"min_terms": 2,
"max_terms": 4,
"min_value": 1,
"max_value": 100,
"operators_weights": [
0.4,
0.4,
0.2
]
}
} | simple_equations | 57 | {"min_terms": 2, "max_terms": 4, "min_value": 1, "max_value": 100, "operators_weights": [0.4, 0.4, 0.2]} |
A pyramid is made out of 5 pink tiles, 2 times as many green tiles, and an unknown number of purple tiles. If there are 25 tiles in the pyramid in total, how many purple tiles are there? Give the result as your final answer. Do not include units. | 10 | {
"difficulty": 1,
"answer_value": 10,
"answer_cot": "There are 5*2 = 10 green tiles in the pyramid.\nThere are 25-5-10 = 10 purple tiles in the pyramid.\n#### 10",
"variables": {
"structure": "pyramid",
"n1": 5,
"n2": 10,
"n3": 10,
"color1": "pink",
"color2": "green",
"color3": "pur... | gsm_symbolic | 58 | 1.0 |
A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 2 inhabitants: Ethan, and Liam. As Ethan put it, "Ethan is a hero if and only if Liam is a hero". Liam said that if Liam is a hero then Ethan is a hero. So who is a hero and who is a villain? (F... | Ethan is a hero, and Liam is a hero. | {
"source_dataset": "knights_knaves",
"source_index": 59,
"statements": [
[
"<=>",
[
"telling-truth",
0
],
[
"telling-truth",
1
]
],
[
"->",
[
"telling-truth",
1
],
[
"telling-truth",
... | knights_knaves | 59 | {"n_people": 2, "depth_constraint": 2, "width_constraint": 2} |
Joseph watches TV after he finishes his homework every night. On Monday and Tuesday, he watched a 4-hour episode of his favorite show each night. On Wednesday, he watched a few episodes of a 50-minute show. On Thursday, he finished homework early and watched a 7-hour episode and a 10-minute show. On Friday, he got to s... | 7 | {
"difficulty": 1,
"answer_value": 7,
"answer_cot": "Let W be the number of episodes he watched on Wednesday.\nAfter Monday, he had 24.999999999999996 - 4 = 20.999999999999996 hours of TV left.\nAfter Tuesday, he had 20.999999999999996 - 4 = 16.999999999999996 hours of TV left.\nAfter Thursday, he had 16.99999999... | gsm_symbolic | 60 | 1.0 |
Evaluate the indefinite integral: ∫ 154*x**3/15 dx
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**... | 77*x**4/30 + C | {
"source_dataset": "simple_integration",
"source_index": 61,
"integrand": "154*x**3/15",
"variable": "x",
"num_terms": 3,
"difficulty": {
"terms": [
2,
5
]
}
} | simple_integration | 61 | {"terms": [2, 5]} |
Find the indefinite integral: ∫ -45*x**8/4 - 104*x**7 + 1 dx
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, wri... | -5*x**9/4 - 13*x**8 + x + C | {
"source_dataset": "simple_integration",
"source_index": 62,
"integrand": "-45*x**8/4 - 104*x**7 + 1",
"variable": "x",
"num_terms": 4,
"difficulty": {
"terms": [
2,
5
]
}
} | simple_integration | 62 | {"terms": [2, 5]} |
Calculate the antiderivative: ∫ 5*x**8 + 24*x**7 - 7*x**6/5 - 5*x**4 + 3/5 dx
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps.... | 5*x**9/9 + 3*x**8 - x**7/5 - x**5 + 3*x/5 + C | {
"source_dataset": "simple_integration",
"source_index": 63,
"integrand": "5*x**8 + 24*x**7 - 7*x**6/5 - 5*x**4 + 3/5",
"variable": "x",
"num_terms": 5,
"difficulty": {
"terms": [
2,
5
]
}
} | simple_integration | 63 | {"terms": [2, 5]} |
Solve this Sudoku puzzle:
6 _ _ _ _ _ _ _ 7
1 3 9 2 4 _ 8 6 5
_ 4 _ 9 5 _ 1 3 _
_ 6 8 _ _ _ 7 _ 9
_ _ 3 _ _ _ 6 8 _
_ _ 1 _ _ 9 _ 5 _
7 _ 2 6 3 _ 9 _ _
9 5 4 _ 1 _ 3 _ 6
_ _ _ _ _ 2 5 7 1
Respond with only your answer, formatted as the puzzle, a 9x9 grid with numbers separated by spaces, and rows separated by newlines. | 6 2 5 1 8 3 4 9 7
1 3 9 2 4 7 8 6 5
8 4 7 9 5 6 1 3 2
5 6 8 3 2 4 7 1 9
2 9 3 5 7 1 6 8 4
4 7 1 8 6 9 2 5 3
7 1 2 6 3 5 9 4 8
9 5 4 7 1 8 3 2 6
3 8 6 4 9 2 5 7 1 | {
"source_dataset": "sudoku",
"source_index": 64,
"puzzle": [
[
6,
0,
0,
0,
0,
0,
0,
0,
7
],
[
1,
3,
9,
2,
4,
0,
8,
6,
5
],
[
0,
4,
0,
9,
5,
0,
... | sudoku | 64 | {"empty": [30, 50]} |
John is 20 years old. In 6 years his sister Barbara will be 5 times as old as John is now. How old is Barbara right now? Give the result as your final answer. Do not include units. | 94 | {
"difficulty": 1,
"answer_value": 94,
"answer_cot": "6 years from now Barbara will be 20*5=100.\nRight now Barbara is 100-6=94 years old.\n#### 94",
"variables": {
"name1": "John",
"name2": "Barbara",
"age1": 20,
"years": 6,
"relation_type": "sister",
"mult": 5,
"future_age": 100,
... | gsm_symbolic | 65 | 1.0 |
Sophia is an avid gardener. Yesterday, she received 27 new potted plants from her favorite plant nursery. She already has 10 potted plants on each of the 64 window ledges of her large country home. Feeling generous, she has decided that she will give 7 potted plant from each ledge to friends and family tomorrow. How ma... | 219 | {
"difficulty": 1,
"answer_value": 219,
"answer_cot": "Yesterday, before receiving the plants, Sophia had 64*10 = 640 potted plants\nAfter receiving an additional 27 plants, she therefore had a total of 640 + 27 = 667 potted plants\nTomorrow, Sophia's plant giveaway will be 64*7 = 448 potted plants.\nShe will the... | gsm_symbolic | 66 | 1.0 |
A fog bank rolls in from the ocean to cover a city. It takes 212 minutes to cover every 26 miles of the city. If the city is 52 miles across from the oceanfront to the opposite inland edge, how many minutes will it take for the fog bank to cover the whole city? Give the result as your final answer. Do not include units... | 424 | {
"difficulty": 1,
"answer_value": 424,
"answer_cot": "The city will be covered in 52 / 26 = 2 intervals of 212 minutes.\nThus, it will take 2 * 212 = 424 minutes for the fog to cover the whole city.\n#### 424",
"variables": {
"time_per_interval": 212,
"distance_per_interval": 26,
"total_distance": ... | gsm_symbolic | 67 | 1.0 |
Find the indefinite integral: ∫ 80*x**9 + 8*x**7 - 18*x - 3 dx
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, w... | 8*x**10 + x**8 - 9*x**2 - 3*x + C | {
"source_dataset": "simple_integration",
"source_index": 68,
"integrand": "80*x**9 + 8*x**7 - 18*x - 3",
"variable": "x",
"num_terms": 4,
"difficulty": {
"terms": [
2,
5
]
}
} | simple_integration | 68 | {"terms": [2, 5]} |
Calculate the antiderivative: ∫ x**8 - 24*x**7 - 35*x**6 - 16*x dx
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For exampl... | x**9/9 - 3*x**8 - 5*x**7 - 8*x**2 + C | {
"source_dataset": "simple_integration",
"source_index": 69,
"integrand": "x**8 - 24*x**7 - 35*x**6 - 16*x",
"variable": "x",
"num_terms": 4,
"difficulty": {
"terms": [
2,
5
]
}
} | simple_integration | 69 | {"terms": [2, 5]} |
Find the value of h in the equation: 20*h - 162 = 1338 | 75 | {
"source_dataset": "simple_equations",
"source_index": 70,
"equation": "20*h - 162 = 1338",
"variable": "h",
"difficulty": {
"min_terms": 2,
"max_terms": 4,
"min_value": 1,
"max_value": 100,
"operators_weights": [
0.4,
0.4,
0.2
]
}
} | simple_equations | 70 | {"min_terms": 2, "max_terms": 4, "min_value": 1, "max_value": 100, "operators_weights": [0.4, 0.4, 0.2]} |
A loaf of bread at the store costs €5. bagels cost €5 each. How much more do 10 loaves of bread cost than 6 bagels? Give the result as your final answer. Do not include units. | 20 | {
"difficulty": 1,
"answer_value": 20,
"answer_cot": "10 loaves of bread cost 10 * €5 = €50.\n6 bagels cost 6 * €5 = €30.\nThe loaves of bread cost €50 - €30 = €20 more than the bagels.\n#### 20",
"variables": {
"item1": "bread",
"item2": "bagel",
"shop": "store",
"currency": "€",
"price1": ... | gsm_symbolic | 71 | 1.0 |
In a set of chef's cards, there are 68 blue cards, and 75% more red cards. purple cards are as many as the sum of blue and red cards. How many cards of all mentioned colors are there? Give the result as your final answer. Do not include units. | 374 | {
"difficulty": 1,
"answer_value": 374,
"answer_cot": "There are 75/100 * 68 = 51 more red cards than blue cards.\nWhich means there are 68 + 51 = 119 red cards.\npurple cards make up to 68 + 119 = 187 cards.\nSo in total, there are 187 + 187 = 374 cards of different colors.\n#### 374",
"variables": {
"item... | gsm_symbolic | 72 | 1.0 |
Calculate the antiderivative: ∫ -5*x**4/2 + 8*x**3 + 18*x**2/7 dx
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example... | -x**5/2 + 2*x**4 + 6*x**3/7 + C | {
"source_dataset": "simple_integration",
"source_index": 73,
"integrand": "-5*x**4/2 + 8*x**3 + 18*x**2/7",
"variable": "x",
"num_terms": 3,
"difficulty": {
"terms": [
2,
5
]
}
} | simple_integration | 73 | {"terms": [2, 5]} |
Evaluate the indefinite integral: ∫ 45*x**8/2 + 7*x**6/2 dx
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, writ... | 5*x**9/2 + x**7/2 + C | {
"source_dataset": "simple_integration",
"source_index": 74,
"integrand": "45*x**8/2 + 7*x**6/2",
"variable": "x",
"num_terms": 2,
"difficulty": {
"terms": [
2,
5
]
}
} | simple_integration | 74 | {"terms": [2, 5]} |
Riverside Academy is holding graduation in their Sports Arena this year which has space for 4900 people. After accounting for 650 seats for graduates and 350 seats for faculty attending, how many tickets would each graduate receive to give to their friends and family if the tickets are split equally? Give the result as... | 6 | {
"difficulty": 1,
"answer_value": 6,
"answer_cot": "Add graduate and faculty seats together. 650 + 350 = 1000 seats for faculty and graduates\nMinus seats for faculty and graduates from total seats allowed. 4900 - 1000 = 3900 remaining seats.\nDivide remaining seats by the number of graduates. 3900/650 = 6 ticke... | gsm_symbolic | 75 | 1.0 |
Solve this Sudoku puzzle:
8 _ 7 _ _ 9 _ _ _
6 1 _ 4 5 8 _ 9 _
5 4 _ _ _ 7 _ _ 3
_ _ _ 7 1 _ _ _ _
1 _ _ _ 8 _ 5 _ _
_ _ 6 9 _ 3 _ _ _
4 7 _ _ 9 _ _ _ 8
3 _ _ _ 7 _ 9 _ 4
_ _ _ 3 4 _ _ _ 6
Respond with only your answer, formatted as the puzzle, a 9x9 grid with numbers separated by spaces, and rows separated by newlines. | 8 2 7 1 3 9 4 6 5
6 1 3 4 5 8 2 9 7
5 4 9 2 6 7 1 8 3
9 8 4 7 1 5 6 3 2
1 3 2 6 8 4 5 7 9
7 5 6 9 2 3 8 4 1
4 7 1 5 9 6 3 2 8
3 6 5 8 7 2 9 1 4
2 9 8 3 4 1 7 5 6 | {
"source_dataset": "sudoku",
"source_index": 76,
"puzzle": [
[
8,
0,
7,
0,
0,
9,
0,
0,
0
],
[
6,
1,
0,
4,
5,
8,
0,
9,
0
],
[
5,
4,
0,
0,
0,
7,
... | sudoku | 76 | {"empty": [30, 50]} |
Calculate the antiderivative: ∫ -9*x**8/8 - 7*x**6 + 8*x**3 - 9*x**2 dx
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For e... | -x**9/8 - x**7 + 2*x**4 - 3*x**3 + C | {
"source_dataset": "simple_integration",
"source_index": 77,
"integrand": "-9*x**8/8 - 7*x**6 + 8*x**3 - 9*x**2",
"variable": "x",
"num_terms": 4,
"difficulty": {
"terms": [
2,
5
]
}
} | simple_integration | 77 | {"terms": [2, 5]} |
A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 2 inhabitants: Joseph, and Samuel. In Joseph's words: "Samuel is a pioneer or Samuel is a laggard". "Joseph is a laggard or Joseph is a pioneer," Samuel mentioned. So who is a pioneer and ... | Joseph is a pioneer, and Samuel is a pioneer. | {
"source_dataset": "knights_knaves",
"source_index": 78,
"statements": [
[
"or",
[
"telling-truth",
1
],
[
"lying",
1
]
],
[
"or",
[
"lying",
0
],
[
"telling-truth",
0
]
]
... | knights_knaves | 78 | {"n_people": 2, "depth_constraint": 2, "width_constraint": 2} |
William has $111.87 and wants to buy 19 anchors from a bin at the home improvement store. Each anchor costs $0.73. How much money does William have left after paying for the anchors? Give the result as your final answer. Do not include units. | 98 | {
"difficulty": 1,
"answer_value": 98,
"answer_cot": "William paid 19 * $0.73 = $13.87 for the anchors.\nWilliam has $111.87 - $13.87 = $98 left.\n#### 98",
"variables": {
"name": "William",
"currency": "$",
"initial_amount": 111.87,
"quantity": 19,
"item": "anchor",
"store_type": "home ... | gsm_symbolic | 79 | 1.0 |
A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 2 inhabitants: Abigail, and Mason. "Mason is a villain and Mason is a hero," Abigail declared. "Abigail is a hero," Mason mentioned. So who is a hero and who is a villain? (Format your answer li... | Abigail is a villain, and Mason is a villain. | {
"source_dataset": "knights_knaves",
"source_index": 80,
"statements": [
[
"and",
[
"lying",
1
],
[
"telling-truth",
1
]
],
[
"not",
[
"lying",
0
]
]
],
"solution": [
false,
false
],
"n... | knights_knaves | 80 | {"n_people": 2, "depth_constraint": 2, "width_constraint": 2} |
The area of John's rectangular living room is 1224 square feet. If the length of his room is 8 yards, what is the perimeter of the room in feet? Give the result as your final answer. Do not include units. | 150 | {
"difficulty": 1,
"answer_value": 150,
"answer_cot": "The length of the room is 8 yards * (3 feet / 1 yards) = 24 feet.\nThe width of the room is 1224 square feet / 24 feet = 51 feet.\nThe room's perimeter is 2(51+24) = 150\n#### 150",
"variables": {
"name": "John",
"room_type": "living room",
"are... | gsm_symbolic | 81 | 1.0 |
Calculate the antiderivative: ∫ -80*x**9 + 25*x**4 + 24*x**3/5 dx
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example... | -8*x**10 + 5*x**5 + 6*x**4/5 + C | {
"source_dataset": "simple_integration",
"source_index": 82,
"integrand": "-80*x**9 + 25*x**4 + 24*x**3/5",
"variable": "x",
"num_terms": 4,
"difficulty": {
"terms": [
2,
5
]
}
} | simple_integration | 82 | {"terms": [2, 5]} |
Calculate the antiderivative: ∫ 54*X**8/5 - 6*X**7 + 2*X**5/3 + 18*X**2 - 6 dx
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps... | 6*X**9/5 - 3*X**8/4 + X**6/9 + 6*X**3 - 6*X + C | {
"source_dataset": "simple_integration",
"source_index": 83,
"integrand": "54*X**8/5 - 6*X**7 + 2*X**5/3 + 18*X**2 - 6",
"variable": "X",
"num_terms": 5,
"difficulty": {
"terms": [
2,
5
]
}
} | simple_integration | 83 | {"terms": [2, 5]} |
A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 2 inhabitants: Logan, and Joseph. Logan said, "Joseph is a pioneer and Logan is a pioneer." Joseph noted, "Logan is a pioneer if and only if Logan is a laggard". So who is a pioneer and wh... | Logan is a laggard, and Joseph is a laggard. | {
"source_dataset": "knights_knaves",
"source_index": 84,
"statements": [
[
"and",
[
"telling-truth",
1
],
[
"telling-truth",
0
]
],
[
"<=>",
[
"telling-truth",
0
],
[
"lying",
0
... | knights_knaves | 84 | {"n_people": 2, "depth_constraint": 2, "width_constraint": 2} |
Richard has a flower stand at the town square. He sells three kinds of flowers: sunflowers, tulips and daisies. He usually sells sunflowers for $3.50 per bundle, tulips for $3.31 per bundle and daisies for $5.76 per bundle. Richard has no change today, so he has decided to round all his prices to the nearest dollar. If... | 353 | {
"difficulty": 1,
"answer_value": 353,
"answer_cot": "Richard will round his sunflowers up from $3.50 to $4, since the number following the 3 is 5 or higher.\nRichard will round his tulips down from $3.31 to $3, since the number following the 3 is less than 5.\nRichard will round his daisies up from $5.76 to $6,... | gsm_symbolic | 85 | 1.0 |
Calculate the antiderivative: ∫ -7*X**6 + 354*X**5/7 - 15*X**4 dx
When performing calculations, please follow these guidelines:
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in your reasoning steps. For example... | -X**7 + 59*X**6/7 - 3*X**5 + C | {
"source_dataset": "simple_integration",
"source_index": 86,
"integrand": "-7*X**6 + 354*X**5/7 - 15*X**4",
"variable": "X",
"num_terms": 5,
"difficulty": {
"terms": [
2,
5
]
}
} | simple_integration | 86 | {"terms": [2, 5]} |
A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 2 inhabitants: Avery, and Jacob. Avery remarked, "Avery is a hero and Jacob is a villain". "if Avery is a villain then Avery is a hero," Jacob declared. So who is a hero and who is a villain? (F... | Avery is a villain, and Jacob is a villain. | {
"source_dataset": "knights_knaves",
"source_index": 87,
"statements": [
[
"and",
[
"telling-truth",
0
],
[
"lying",
1
]
],
[
"->",
[
"lying",
0
],
[
"telling-truth",
0
]
]
... | knights_knaves | 87 | {"n_people": 2, "depth_constraint": 2, "width_constraint": 2} |
A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 2 inhabitants: Aiden, and Liam. Aiden remarked, "Liam is a sinner if and only if Liam is a saint". Liam expressed that Aiden is a sinner. So who is a saint and who is a sinner? (Format your answ... | Aiden is a sinner, and Liam is a saint. | {
"source_dataset": "knights_knaves",
"source_index": 88,
"statements": [
[
"<=>",
[
"lying",
1
],
[
"telling-truth",
1
]
],
[
"lying",
0
]
],
"solution": [
false,
true
],
"names": [
"Aiden",
"Liam"
... | knights_knaves | 88 | {"n_people": 2, "depth_constraint": 2, "width_constraint": 2} |
Determine the value of p that satisfies: 104 - 99*p = -7816 | 80 | {
"source_dataset": "simple_equations",
"source_index": 89,
"equation": "104 - 99*p = -7816",
"variable": "p",
"difficulty": {
"min_terms": 2,
"max_terms": 4,
"min_value": 1,
"max_value": 100,
"operators_weights": [
0.4,
0.4,
0.2
]
}
} | simple_equations | 89 | {"min_terms": 2, "max_terms": 4, "min_value": 1, "max_value": 100, "operators_weights": [0.4, 0.4, 0.2]} |
Solve for p: -372*p - 4278 = -15066 | 29 | {
"source_dataset": "simple_equations",
"source_index": 90,
"equation": "-372*p - 4278 = -15066",
"variable": "p",
"difficulty": {
"min_terms": 2,
"max_terms": 4,
"min_value": 1,
"max_value": 100,
"operators_weights": [
0.4,
0.4,
0.2
]
}
} | simple_equations | 90 | {"min_terms": 2, "max_terms": 4, "min_value": 1, "max_value": 100, "operators_weights": [0.4, 0.4, 0.2]} |
Solve for v: 63*v + 6 = 3660 | 58 | {
"source_dataset": "simple_equations",
"source_index": 91,
"equation": "63*v + 6 = 3660",
"variable": "v",
"difficulty": {
"min_terms": 2,
"max_terms": 4,
"min_value": 1,
"max_value": 100,
"operators_weights": [
0.4,
0.4,
0.2
]
}
} | simple_equations | 91 | {"min_terms": 2, "max_terms": 4, "min_value": 1, "max_value": 100, "operators_weights": [0.4, 0.4, 0.2]} |
Determine the value of s that satisfies: 98*s + 12 = 2168 | 22 | {
"source_dataset": "simple_equations",
"source_index": 92,
"equation": "98*s + 12 = 2168",
"variable": "s",
"difficulty": {
"min_terms": 2,
"max_terms": 4,
"min_value": 1,
"max_value": 100,
"operators_weights": [
0.4,
0.4,
0.2
]
}
} | simple_equations | 92 | {"min_terms": 2, "max_terms": 4, "min_value": 1, "max_value": 100, "operators_weights": [0.4, 0.4, 0.2]} |
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 2 inhabitants: Benjamin, and Emma. "Emma is an egoist or Benjamin is an altruist," Benjamin claimed. Emma asserted: "Benjamin is an egoist and Benjamin is an altruist". So who is an altrui... | Benjamin is an altruist, and Emma is an egoist. | {
"source_dataset": "knights_knaves",
"source_index": 93,
"statements": [
[
"or",
[
"lying",
1
],
[
"telling-truth",
0
]
],
[
"and",
[
"lying",
0
],
[
"telling-truth",
0
]
]
... | knights_knaves | 93 | {"n_people": 2, "depth_constraint": 2, "width_constraint": 2} |
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 2 inhabitants: Riley, and Scarlett. Riley stated, "Scarlett is an altruist". Scarlett told you that Riley is an altruist if and only if Scarlett is an altruist. So who is an altruist and w... | Riley is an altruist, and Scarlett is an altruist. | {
"source_dataset": "knights_knaves",
"source_index": 94,
"statements": [
[
"telling-truth",
1
],
[
"<=>",
[
"telling-truth",
0
],
[
"telling-truth",
1
]
]
],
"solution": [
true,
true
],
"names": [
"Riley... | knights_knaves | 94 | {"n_people": 2, "depth_constraint": 2, "width_constraint": 2} |
A cake has 36 portions. If James can eat 4 portions a day while Elijah can eat 2 times as much, how many days will the cake last? Give the result as your final answer. Do not include units. | 3 | {
"difficulty": 1,
"answer_value": 3,
"answer_cot": "Elijah can eat 4 x 2 = 8 portions a day.\nTogether, James and Elijah can eat 4 + 8 = 12 portions a day.\nSo, a cake will last for 36/12 = 3 days.\n#### 3",
"variables": {
"item": "cake",
"num_slices": 36,
"name1": "James",
"name2": "Elijah",
... | gsm_symbolic | 95 | 1.0 |
Emma's aunt said that she had €252 budgeted for her birthday party. She wants to make sure she and her friends all get to play one round of laser tag, have €7 in pinball tokens, and get to ride the go-karts 3. A round of laser tag is €8. The go-karts cost €9 a ride. How many friends can she invite? Give the result as y... | 5 | {
"difficulty": 1,
"answer_value": 5,
"answer_cot": "The go-karts will cost €27 per person because 9 x 3 = 27\nEach person costs €42 because 7 + 8 + 27 = 42\n6 total people can attend because 252 / 42 = 6\nShe can invite 5 friends because 6 - 1 = 5\n#### 5",
"variables": {
"name": "Emma",
"parent": "aun... | gsm_symbolic | 96 | 1.0 |
Mrs. Smith is looking for a house that will not go beyond her $380,000 budget. She saw a property that has a selling price of $350,000. On top of that, the buyer has to pay a brokerage fee which is 7% of the selling price, and also the transfer fee that is 15% of the selling price. How much more is the total price of t... | 47000 | {
"difficulty": 1,
"answer_value": 47000,
"answer_cot": "The brokerage fee is $350,000 x 7/100 = $24,500.\nThe transfer fee is $350,000 x 15/100 = $52,500.\nThe total price of the house is $350,000 + $24,500 + $52,500 = $427,000.\nSo, it is $427,000 - $380,000 = $47,000 more than Mrs. Smith's budget.\n#### 47000"... | gsm_symbolic | 97 | 1.0 |
Solve this Sudoku puzzle:
3 _ _ 1 8 _ _ _ _
7 2 9 4 3 _ 8 6 1
4 _ 8 _ 7 _ 3 5 9
5 8 4 3 1 7 6 9 _
1 9 3 5 _ 6 _ 8 7
_ _ 7 _ _ 8 5 1 _
_ 7 5 2 _ 3 _ _ 6
_ 4 2 _ 6 _ 7 3 _
_ _ _ 7 _ 4 9 2 _
Respond with only your answer, formatted as the puzzle, a 9x9 grid with numbers separated by spaces, and rows separated by newlines. | 3 5 6 1 8 9 2 7 4
7 2 9 4 3 5 8 6 1
4 1 8 6 7 2 3 5 9
5 8 4 3 1 7 6 9 2
1 9 3 5 2 6 4 8 7
2 6 7 9 4 8 5 1 3
8 7 5 2 9 3 1 4 6
9 4 2 8 6 1 7 3 5
6 3 1 7 5 4 9 2 8 | {
"source_dataset": "sudoku",
"source_index": 98,
"puzzle": [
[
3,
0,
0,
1,
8,
0,
0,
0,
0
],
[
7,
2,
9,
4,
3,
0,
8,
6,
1
],
[
4,
0,
8,
0,
7,
0,
... | sudoku | 98 | {"empty": [30, 50]} |
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 2 inhabitants: Olivia, and Owen. In a statement by Olivia: "Owen is an egoist". Owen told you that if Owen is an altruist then Olivia is an egoist. So who is an altruist and who is an egoi... | Olivia is an egoist, and Owen is an altruist. | {
"source_dataset": "knights_knaves",
"source_index": 99,
"statements": [
[
"not",
[
"telling-truth",
1
]
],
[
"->",
[
"telling-truth",
1
],
[
"lying",
0
]
]
],
"solution": [
false,
true
]... | knights_knaves | 99 | {"n_people": 2, "depth_constraint": 2, "width_constraint": 2} |
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