mradermacher/AdaR-qwen-2.5-math-7b-9k-GGUF
8B
•
Updated
•
97
•
1
Dataset Viewer
data_source
stringlengths 21
25
| prompt
listlengths 2
2
| reward_model
dict | extra_info
dict |
|---|---|---|---|
0-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If 35 men working 5 hours a day earn Rs. 1715 per week, how much would 11 men working 25 hours a day earn per week?",
"role": "user"
}
] |
{
"ground_truth": "2695.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nmen1 = 11\nhours1 = 25\nmen2 = 35\nhours2 = 5\nearn2 = 1715\n\n# Calculation\nearn1 = (men1 * hours1 * earn2) / (men2 * hours2)\n\n# Output\nprint(earn1)",
"id": 0,
"max_fluct": 5
}
|
1-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "A stationery store sells three types of pencils: pencils with an eraser for $0.73 each, regular pencils for $0.37 each, and short pencils at an unknown price each. The store sold 262 pencils with an eraser, 145 regular pencils, and 98 short pencils, earning a total of $340. What is the price of a short pencil?",
"role": "user"
}
] |
{
"ground_truth": "0.9703061224489796",
"style": "rule"
}
|
{
"code": "# Variable definitions\neraser_price = 0.73\nregular_price = 0.37\neraser_pencils = 262\nregular_pencils = 145\nshort_pencils = 98\ntotal_revenue = 340\n\n# Calculation\nrevenue_eraser = eraser_pencils * eraser_price\nrevenue_regular = regular_pencils * regular_price\nremaining_revenue = total_revenue - (revenue_eraser + revenue_regular)\nshort_price = remaining_revenue / short_pencils\n\n# Output\nprint(short_price)",
"id": 1,
"max_fluct": 5
}
|
3-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Becky initially had 194 necklaces in her collection. She collected unbroken beads from some of the broken necklaces and discarded the rest. She bought 9 new necklaces that week and gave 19 of her old ones to friends as gifts. If she now owns 16 necklaces, how many of the original necklaces had broken beads?",
"role": "user"
}
] |
{
"ground_truth": "168.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\ninitial = 194\nbought = 9\ngiven_away = 19\ncurrent = 16\n\n# Calculation\nbroken = (initial + bought - given_away) - current\n\n# Output\nprint(broken)",
"id": 3,
"max_fluct": 5
}
|
5-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If Marcy drinks an 8-liter bottle of water in 40 minutes, taking a sip every 19 minutes, what is the volume of each sip in milliliters?",
"role": "user"
}
] |
{
"ground_truth": "3800.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nbottle_size_liters = 8\nminutes_per_sip = 19\ntotal_minutes = 40\n\n# Convert liters to milliliters\ntotal_ml = bottle_size_liters * 1000\n\n# Calculate number of sips\nnumber_of_sips = total_minutes / minutes_per_sip\n\n# Calculate ml per sip\nml_per_sip = total_ml / number_of_sips\n\n# Output\nprint(ml_per_sip)",
"id": 5,
"max_fluct": 5
}
|
10-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "A shopkeeper purchased goods worth $X and intended to sell them with a 10% profit margin on each item. However, he faced three thefts at different stages, which impacted his inventory in the following manner:\n\n1. The first theft occurred before any sales, leading to a loss of 6% of the total goods.\n2. The second theft took place after he had sold 72% of the remaining goods, resulting in a 53% loss of the inventory that was left at that point.\n3. The third theft happened after he sold an additional 48% of the remaining goods following the second theft, and it caused a 10% loss of the inventory still in stock.\n\nAssuming the remaining goods were sold at the intended profit margin, what is the total percentage loss the shopkeeper incurred due to these thefts?",
"role": "user"
}
] |
{
"ground_truth": "94.2106528",
"style": "rule"
}
|
{
"code": "# Variable definitions\nfirst_theft_loss_percentage = 6\nfirst_sale_percentage = 72\nsecond_theft_loss_percentage = 53\nsecond_sale_percentage = 48\nthird_theft_loss_percentage = 10\n\n# Calculation\nremaining = 1.0\nremaining *= (1 - first_theft_loss_percentage / 100)\nremaining *= (1 - first_sale_percentage / 100)\nremaining *= (1 - second_theft_loss_percentage / 100)\nremaining *= (1 - second_sale_percentage / 100)\nremaining *= (1 - third_theft_loss_percentage / 100)\nloss_percentage = (1 - remaining) * 100\n\n# Output\nprint(loss_percentage)",
"id": 10,
"max_fluct": 5
}
|
16-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If you walk 6 times faster than Mr. Harris, who took 6 hours to walk to a store, and your destination is 18 times farther than the store he walked to, how many hours will it take you to reach your destination?",
"role": "user"
}
] |
{
"ground_truth": "18.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nspeed_ratio = 6\nharris_time = 6\ndistance_multiplier = 18\n\n# Calculation\nuser_time = (harris_time / speed_ratio) * distance_multiplier\n\n# Output\nprint(user_time)",
"id": 16,
"max_fluct": 5
}
|
18-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If the lengths of three ropes are in the ratio 3:10:10, and the combined length of the longest and shortest ropes exceeds the length of the third rope by 508 metres, what is the length of the shortest rope?",
"role": "user"
}
] |
{
"ground_truth": "508.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nratio1 = 3\nratio2 = 10\nratio3 = 10\ndifference = 508\n\n# Calculation\nx = difference / (ratio1 + ratio3 - ratio2)\nshortest_length = ratio1 * x\n\n# Output\nprint(shortest_length)",
"id": 18,
"max_fluct": 5
}
|
19-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If Andy solved 218 problems in a math exercise, starting from a certain number and ending at 246, what number did he begin with?",
"role": "user"
}
] |
{
"ground_truth": "29.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nend_number = 246\nproblems_solved = 218\n\n# Calculation\nstart_number = end_number - problems_solved + 1\n\n# Output\nprint(start_number)",
"id": 19,
"max_fluct": 5
}
|
20-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If Set A includes all even numbers from 52 to 68 inclusive, and Set B includes all even numbers from 574 to 706 inclusive, what is the difference between the sum of the elements in Set B and the sum of the elements in Set A?",
"role": "user"
}
] |
{
"ground_truth": "42340.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nA_first = 52\nA_last = 68\nB_first = 574\nB_last = 706\n\n# Common difference for even numbers\nd = 2\n\n# Calculate number of terms and sum for Set A\nn_A = ((A_last - A_first) // d) + 1\nsum_A = (n_A / 2) * (A_first + A_last)\n\n# Calculate number of terms and sum for Set B\nn_B = ((B_last - B_first) // d) + 1\nsum_B = (n_B / 2) * (B_first + B_last)\n\n# Calculate difference\ndifference = sum_B - sum_A\n\n# Output\nprint(difference)",
"id": 20,
"max_fluct": 5
}
|
21-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If Worker A takes an unknown amount of time to complete a job alone, and Worker B takes 40 hours to complete the same job, and together they can finish the job in approximately 4.44 hours while working independently, how long does it take for Worker A to complete the job alone?",
"role": "user"
}
] |
{
"ground_truth": "5.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nworker_b_time = 40\ncombined_time = 4.444444444444445\n\n# Calculation\nworker_a_rate = (1 / combined_time) - (1 / worker_b_time)\nworker_a_time = 1 / worker_a_rate\n\n# Output\nprint(worker_a_time)",
"id": 21,
"max_fluct": 5
}
|
22-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "In a school with 265 boys, 12% are Muslim, 28% are Hindu, and 40% are Sikh. The remaining boys belong to other communities. How many boys belong to other communities?",
"role": "user"
}
] |
{
"ground_truth": "53.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\ntotal_boys = 265\nmuslim_percent = 12\nhindu_percent = 28\nsikh_percent = 40\n\n# Calculation\nother_percent = 100 - (muslim_percent + hindu_percent + sikh_percent)\nother_boys = (other_percent / 100) * total_boys\n\n# Output\nprint(other_boys)",
"id": 22,
"max_fluct": 5
}
|
26-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "What is the maximum number of rectangular boxes with dimensions 1 cm x 16 cm x 6 cm that can fit inside a wooden box with dimensions 12 m x 37 m x 24 m?",
"role": "user"
}
] |
{
"ground_truth": "111000000.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nlength_large = 12\nwidth_large = 37\nheight_large = 24\nlength_small = 1\nwidth_small = 16\nheight_small = 6\n\n# Convert small box dimensions to meters\nlength_small_m = length_small / 100\nwidth_small_m = width_small / 100\nheight_small_m = height_small / 100\n\n# Calculate volumes\nvolume_large = length_large * width_large * height_large\nvolume_small = length_small_m * width_small_m * height_small_m\n\n# Calculate number of boxes\nnum_boxes = volume_large / volume_small\n\n# Output\nprint(num_boxes)",
"id": 26,
"max_fluct": 5
}
|
27-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If Zion is currently 1 year old and his dad's age is 4 more than a certain multiple of Zion's age, and in 30 years Zion's dad will be 37 years older than Zion, what is the multiplier used to calculate the dad's age based on Zion's current age, excluding the additional 4 years?",
"role": "user"
}
] |
{
"ground_truth": "34.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nzion_age = 1\nadditional_years = 4\nfuture_years = 30\nage_difference = 37\n\n# Calculation\nx = (zion_age + age_difference - additional_years) / zion_age\n\n# Output\nprint(x)",
"id": 27,
"max_fluct": 5
}
|
30-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "In a 3-day intercollegiate competition, 779 students participated on Day 1, 61 on Day 2, and 651 on Day 3. It is known that 233 students participated on both Day 1 and Day 2, 25 students participated on both Day 2 and Day 3, and 108 students participated only on Day 1. How many students participated on all three days?",
"role": "user"
}
] |
{
"ground_truth": "438.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nday1_total = 779\nday2_total = 61\nday3_total = 651\nday1_day2_overlap = 233\nday2_day3_overlap = 25\nonly_day1 = 108\n\n# Calculation\nx = day1_total - only_day1 - day1_day2_overlap\n\n# Output\nprint(x)",
"id": 30,
"max_fluct": 5
}
|
32-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "The total cost of 1 pant and 15 t-shirts is Rs. 4277. With the same amount of money, one can buy 1 pant and a different number of t-shirts. If the cost of 7 t-shirts is Rs. 700, how many t-shirts were purchased along with the 1 pant?",
"role": "user"
}
] |
{
"ground_truth": "15.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\npants1 = 1\ntshirts1 = 15\ntotal_price = 4277\ntshirts2 = 7\ntshirts_price = 700\n\n# Calculation\nT = tshirts_price / tshirts2\nP = (total_price - tshirts1 * T) / pants1\nremaining = total_price - P\nnum_tshirts = remaining / T\n\n# Output\nprint(num_tshirts)",
"id": 32,
"max_fluct": 5
}
|
33-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "A student mistakenly used 25 as the divisor instead of 200 and obtained an answer of 72. What would be the correct result if the divisor was 200?",
"role": "user"
}
] |
{
"ground_truth": "9.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nwrong_divisor = 25\ncorrect_divisor = 200\nwrong_quotient = 72\n\n# Calculation\ndividend = wrong_divisor * wrong_quotient\ncorrect_quotient = dividend / correct_divisor\n\n# Output\nprint(correct_quotient)",
"id": 33,
"max_fluct": 5
}
|
34-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If the malt shop used 2 ounces of chocolate syrup in each shake and 7 ounces in each cone, and they sold 5 shakes and an unknown number of cones using a total of 52 ounces of chocolate syrup, how many cones did they sell?",
"role": "user"
}
] |
{
"ground_truth": "6.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nsyrup_per_shake = 2\nsyrup_per_cone = 7\nshakes_sold = 5\ntotal_syrup = 52\n\n# Calculation\nsyrup_used_shakes = shakes_sold * syrup_per_shake\nsyrup_left = total_syrup - syrup_used_shakes\ncones_sold = syrup_left / syrup_per_cone\n\n# Output\nprint(cones_sold)",
"id": 34,
"max_fluct": 5
}
|
36-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "In the expression 49 + √(-4 + 26 × some number ÷ 2), the result is 52. What is the value of the missing number?",
"role": "user"
}
] |
{
"ground_truth": "1.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nconstant1 = 49\nconstant2 = -4\nmultiplier = 26\ndivisor = 2\nresult = 52\n\n# Calculation\nsquared_value = (result - constant1) ** 2\nx = ((squared_value - constant2) * divisor) / multiplier\n\n# Output\nprint(x)",
"id": 36,
"max_fluct": 5
}
|
37-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "In an animal shelter, the ratio of cats to dogs is 15 to 36. If the shelter were to take in 68 more dogs, the ratio of cats to dogs would become 15 to 37. What is the current number of cats in the shelter?",
"role": "user"
}
] |
{
"ground_truth": "1020.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\ndogs_ratio_initial = 36\nadditional_dogs = 68\ndogs_ratio_new = 37\n\n# Calculation\nD = (dogs_ratio_initial * additional_dogs) / (dogs_ratio_new - dogs_ratio_initial)\nC = (15 / dogs_ratio_initial) * D\n\n# Output\nprint(C)",
"id": 37,
"max_fluct": 5
}
|
38-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "A bag contains 182 marbles, with 20 blue and 48 red marbles, and the remaining marbles are white. If the probability of randomly selecting a red or white marble is 0.02, how many white marbles are in the bag?",
"role": "user"
}
] |
{
"ground_truth": "114.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\ntotal_marbles = 182\nblue_marbles = 20\nred_marbles = 48\nprobability = 0.02\n\n# Calculation\nwhite_marbles = total_marbles - blue_marbles - red_marbles\n\n# Output\nprint(white_marbles)",
"id": 38,
"max_fluct": 5
}
|
40-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If the operation * for any number y is defined as the greatest positive even integer less than or equal to y, and the difference between y and y * is 0.51, what is the original value of y?",
"role": "user"
}
] |
{
"ground_truth": "0.51",
"style": "rule"
}
|
{
"code": "# Variable definitions\ndifference = 0.51\n\n# Calculation\ny = difference\n\n# Output\nprint(y)",
"id": 40,
"max_fluct": 5
}
|
41-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If a sweater is sold at an 86% discount and still yields a 166% profit on its wholesale cost, by what percentage is the sweater marked up from its wholesale price at its normal retail price?",
"role": "user"
}
] |
{
"ground_truth": "1800.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\ndiscount_percent = 86\nprofit_percent = 166\n\n# Calculation\ndiscount_factor = 1 - discount_percent / 100\nprofit_factor = 1 + profit_percent / 100\nmarkup_percent = ((profit_factor / discount_factor) - 1) * 100\n\n# Output\nprint(markup_percent)",
"id": 41,
"max_fluct": 5
}
|
43-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "A length of wire is divided into two pieces such that one piece is 3.01/5 times the length of the other. If the shorter piece measures 30.01 cm, what is the total length of the wire?",
"role": "user"
}
] |
{
"ground_truth": "79.86049833887044",
"style": "rule"
}
|
{
"code": "# Variable definitions\nfraction = 3.01\nshorter_length = 30.01\n\n# Calculation\nlonger_length = shorter_length * (5 / fraction)\ntotal_length = shorter_length + longer_length\n\n# Output\nprint(total_length)",
"id": 43,
"max_fluct": 5
}
|
47-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If Joyce, Michael, Nikki, and Ryn each have a favorite movie, and Nikki's favorite movie is 102 hours long—three times the length of Michael's movie—while Ryn's favorite movie is 5/5 times as long as Nikki's, and the total length of all four of their favorite movies is 329 hours, how many hours longer is Joyce's favorite movie than Michael's?",
"role": "user"
}
] |
{
"ground_truth": "57.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nmichael_multiplier = 3\nryn_multiplier = 5/5\nnikki_length = 102\ntotal_hours = 329\n\n# Calculations\nmichael_length = nikki_length / michael_multiplier\nryn_length = nikki_length * ryn_multiplier\njoyce_length = total_hours - (michael_length + nikki_length + ryn_length)\ndifference = joyce_length - michael_length\n\n# Output\nprint(difference)",
"id": 47,
"max_fluct": 5
}
|
48-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Given the equation (41x + 5)/8 - (14x - e)/54 = (8x + 23)/3, and knowing that x = 0.76, what is the value of e?",
"role": "user"
}
] |
{
"ground_truth": "290.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\ncoeff1 = 41\nconst1 = 5\ndenom1 = 8\ncoeff2 = 14\ndenom2 = 54\ncoeff3 = 8\nconst3 = 23\ndenom3 = 3\nx_value = 0.76\n\n# Calculate left and right parts\nleft_part1 = (coeff1 * x_value + const1) / denom1\nright_part = (coeff3 * x_value + const3) / denom3\ndifference = left_part1 - right_part\n\n# Solve for e\ne = coeff2 * x_value - (denom2 * difference)\n\n# Output\nprint(e)",
"id": 48,
"max_fluct": 5
}
|
49-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If 5 moles of Sodium hydroxide react with Acetic acid to form 14 moles of Sodium Acetate, how many moles of Acetic acid were combined?",
"role": "user"
}
] |
{
"ground_truth": "5.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nmoles_sodium_hydroxide = 5\nmoles_sodium_acetate = 14\n\n# Calculation\nmoles_acetic_acid = moles_sodium_hydroxide\n\n# Output\nprint(moles_acetic_acid)",
"id": 49,
"max_fluct": 5
}
|
53-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If a student scored 21 in physics, the average of physics and mathematics is 216, and the average of physics and chemistry is 822, what is the average of the three subjects?",
"role": "user"
}
] |
{
"ground_truth": "685.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nphysics_score = 21\navg_pm = 216\navg_pc = 822\n\n# Calculate mathematics and chemistry scores\nmath_score = 2 * avg_pm - physics_score\nchem_score = 2 * avg_pc - physics_score\n\n# Calculate overall average\noverall_avg = (physics_score + math_score + chem_score) / 3\n\n# Output\nprint(overall_avg)",
"id": 53,
"max_fluct": 5
}
|
54-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Tim and Donna will celebrate their 102nd wedding anniversary in the year 6857. They began dating 16 years before their marriage and met 5 years before they started dating. In what year did they meet?",
"role": "user"
}
] |
{
"ground_truth": "6734.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nanniversary_year = 6857\nanniversary_duration = 102\nyears_before_marriage = 16\nyears_before_dating = 5\n\n# Calculation\nmarriage_year = anniversary_year - anniversary_duration\ndating_start_year = marriage_year - years_before_marriage\nmeeting_year = dating_start_year - years_before_dating\n\n# Output\nprint(meeting_year)",
"id": 54,
"max_fluct": 5
}
|
55-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Greg purchased a 61-pack of granola bars for lunch throughout the week. He set aside one bar for each of 13 days, traded 6 of the remaining bars to his friend Pete for a soda, and gave the rest to his sisters, who divided them equally. If each sister received 21 bars, how many sisters does Greg have?",
"role": "user"
}
] |
{
"ground_truth": "2.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\ntotal_bars = 61\ndays_in_week = 13\nbars_traded = 6\nbars_per_sister = 21\n\n# Calculation\nremaining_bars = total_bars - days_in_week - bars_traded\nsisters = remaining_bars / bars_per_sister\n\n# Output\nprint(sisters)",
"id": 55,
"max_fluct": 5
}
|
56-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If 494 police officers were on duty one night, half of whom were female, and this number represented 50 percent of all female officers on the police force, how many female officers are there in total on the police force?",
"role": "user"
}
] |
{
"ground_truth": "494.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\npercentage = 50\ntotal_on_duty = 494\n\n# Calculation\nfemale_on_duty = total_on_duty / 2\ntotal_female_officers = female_on_duty / (percentage / 100)\n\n# Output\nprint(total_female_officers)",
"id": 56,
"max_fluct": 5
}
|
57-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "An empty fuel tank is initially filled with brand Z gasoline. When the tank becomes 6/4 empty (i.e., 3/4 full), it is refilled with brand X gasoline. When the tank is completely empty again, it is refilled with brand Z gasoline. When the tank is 1/4 empty, it is refilled with brand X gasoline. At this point, what percentage of the gasoline in the tank is brand Z?",
"role": "user"
}
] |
{
"ground_truth": "75.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nfraction1 = 6/4\nfraction2 = 1/1\nfraction3 = 1/4\n\n# Initial state (full tank with brand Z)\nz = 1.0\nx = 0.0\n\n# First emptying and refill\nremaining = 1 - fraction1\nz = z * remaining\nx = x * remaining\nx += fraction1\n\n# Second emptying and refill\nremaining = 1 - fraction2\nz = z * remaining\nx = x * remaining\nz += fraction2\n\n# Third emptying and refill\nremaining = 1 - fraction3\nz = z * remaining\nx = x * remaining\nx += fraction3\n\n# Calculate percentage of brand Z\npercentage_z = (z / (z + x)) * 100\nprint(percentage_z)",
"id": 57,
"max_fluct": 5
}
|
58-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If 10,228 bricks, each measuring 78 cm x 48.0 cm x 21 cm, are required to build a wall with a height of 20 meters and a thickness of 107.51 cm, what is the length of the wall?",
"role": "user"
}
] |
{
"ground_truth": "37.39960338573156",
"style": "rule"
}
|
{
"code": "# Variable definitions\nbrick_length = 78\nbrick_width = 48.0\nbrick_height = 21\nnumber_of_bricks = 10228\nwall_height_m = 20\nwall_width_cm = 107.51\n\n# Calculations\nvolume_per_brick = brick_length * brick_width * brick_height\ntotal_volume = number_of_bricks * volume_per_brick\nwall_height_cm = wall_height_m * 100\nlength_cm = total_volume / (wall_height_cm * wall_width_cm)\nlength_m = length_cm / 100\n\n# Output\nprint(length_m)",
"id": 58,
"max_fluct": 5
}
|
59-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If Nina has 16 spiders and 19 ants as pets, with each spider having 33 eyes and each ant having 3 eyes, what is the total number of eyes among all her pet insects?",
"role": "user"
}
] |
{
"ground_truth": "585.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nnum_spiders = 16\nnum_ants = 19\neyes_per_spider = 33\neyes_per_ant = 3\n\n# Calculation\nspider_eyes = num_spiders * eyes_per_spider\nant_eyes = num_ants * eyes_per_ant\ntotal_eyes = spider_eyes + ant_eyes\n\n# Output\nprint(total_eyes)",
"id": 59,
"max_fluct": 5
}
|
61-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "A whale goes on a 9-hour feeding frenzy, during which it consumes x kilos of plankton in the first hour and increases its consumption by 20 kilos each subsequent hour. If the total amount of plankton consumed by the end of the frenzy is 2,412 kilos, how many kilos of plankton did the whale consume in the second hour?",
"role": "user"
}
] |
{
"ground_truth": "608.0",
"style": "rule"
}
|
{
"code": "hours = 9\nincrement = 20\ntotal = 2412\ntarget_hour = 22\n\nincrement_sum = increment * ((hours - 1) * hours) // 2\nx = (total - increment_sum) / hours\nresult = x + (target_hour - 1) * increment\nprint(result)",
"id": 61,
"max_fluct": 5
}
|
62-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "In a competitive examination, an equal number of candidates appeared from State A and State B, with the total appearing from each state being 8100. State B had 3% of its candidates selected, which was 162 more than the number of candidates selected from State A. What was the percentage of candidates selected in State A?",
"role": "user"
}
] |
{
"ground_truth": "1.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nstate_b_percentage = 3\nadditional_selected = 162\nappeared_candidates = 8100\n\n# Calculation\np = (state_b_percentage * appeared_candidates - additional_selected * 100) / appeared_candidates\n\n# Output\nprint(p)",
"id": 62,
"max_fluct": 5
}
|
66-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If a train traveling at a speed of 99 km/hr passes a man standing on a platform in 41 seconds and takes 133 seconds to completely pass the platform, what is the length of the platform in meters?",
"role": "user"
}
] |
{
"ground_truth": "2530.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\ntime_platform = 133\ntime_man = 41\nspeed_kmhr = 99\n\n# Convert speed to m/s\nspeed_ms = speed_kmhr * (5 / 18)\n\n# Calculate train length\ntrain_length = speed_ms * time_man\n\n# Calculate platform length\nplatform_length = (speed_ms * time_platform) - train_length\n\n# Output\nprint(platform_length)",
"id": 66,
"max_fluct": 5
}
|
68-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If a car rental costs $171 per day plus an additional fee per mile, and you have a daily budget of $455 that allows you to drive 796 miles, what is the cost per mile for the rental?",
"role": "user"
}
] |
{
"ground_truth": "0.35678391959798994",
"style": "rule"
}
|
{
"code": "# Variable definitions\ndaily_rate = 171\nbudget = 455\nmiles = 796\n\n# Calculation\nremaining_budget = budget - daily_rate\ncost_per_mile = remaining_budget / miles\n\n# Output\nprint(cost_per_mile)",
"id": 68,
"max_fluct": 5
}
|
69-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "An equal number of desks and bookcases are to be arranged along a 5-meter-long library wall. Each desk is 3 meters long, and each bookcase is 4.94 meters long. If the maximum possible number of desks and bookcases are to be placed along the wall, how many meters of space will remain unused?",
"role": "user"
}
] |
{
"ground_truth": "5.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nwall_length = 5\ndesk_length = 3\nbookshelf_length = 4.94\n\n# Calculation\ncombined_length = desk_length + bookshelf_length\nmax_units = wall_length // combined_length\ntotal_used = max_units * combined_length\nleftover = wall_length - total_used\n\n# Output\nprint(leftover)",
"id": 69,
"max_fluct": 5
}
|
70-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "In Woojoo's class, the initial average score was 164. After Woojoo's score was re-evaluated and increased to 128, the new class average became 189. If there are 3 students in the class, what was Woojoo's original score before the re-scoring?",
"role": "user"
}
] |
{
"ground_truth": "53.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\ninitial_avg = 164\nnew_score = 128\nnew_avg = 189\nnum_students = 3\n\n# Calculation\ninitial_total = initial_avg * num_students\nnew_total = new_avg * num_students\ninitial_score = initial_total + new_score - new_total\n\n# Output\nprint(initial_score)",
"id": 70,
"max_fluct": 5
}
|
75-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "What is the area of a square if each of its sides measures 42 cm?",
"role": "user"
}
] |
{
"ground_truth": "1764.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nside_length = 42\n\n# Calculation\narea = side_length ** 2\n\n# Output\nprint(area)",
"id": 75,
"max_fluct": 5
}
|
76-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If a stock with a face value of 48 has a market value of 32, what is its yield percentage?",
"role": "user"
}
] |
{
"ground_truth": "150.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\npercentage = 48\nmarket_value = 32\n\n# Calculation\nannual_dividend = (percentage / 100) * 100\nyield_percent = (annual_dividend / market_value) * 100\n\n# Output\nprint(yield_percent)",
"id": 76,
"max_fluct": 5
}
|
77-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "A cat spends its time hunting birds. During the day, it hunts 71 birds and has a 241% success rate. At night, it hunts 83 birds and catches 10 times as many as it caught during the day, with a 283% success rate. What is the total number of birds the cat caught?",
"role": "user"
}
] |
{
"ground_truth": "406.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nday_birds = 71\nday_success_rate = 241\nnight_birds = 83\nmultiplier = 10\nnight_success_rate = 283\n\n# Daytime calculation\nday_caught = day_birds * (day_success_rate / 100)\n\n# Nighttime calculation using success rate\nnight_caught = night_birds * (night_success_rate / 100)\n\n# Total birds caught\ntotal_caught = day_caught + night_caught\n\n# Output\nprint(total_caught)",
"id": 77,
"max_fluct": 5
}
|
78-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If David scored 98 in Mathematics, 94 in Physics, 343 in Chemistry, and 321 in Biology, and his average marks across all subjects are 212, what marks did he obtain in English?",
"role": "user"
}
] |
{
"ground_truth": "204.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nmath_marks = 98\nphysics_marks = 94\nchemistry_marks = 343\nbiology_marks = 321\naverage = 212\n\n# Calculation\ntotal_marks = average * 5\nenglish_marks = total_marks - (math_marks + physics_marks + chemistry_marks + biology_marks)\n\n# Output\nprint(english_marks)",
"id": 78,
"max_fluct": 5
}
|
79-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Initially, there were 47 votes for Game of Thrones, 7 votes for Twilight, and an unknown number of votes for The Art of the Deal. Fran discarded 91 percent of the votes for The Art of the Deal and 31 percent of the votes for Twilight. After these changes, Game of Thrones accounted for 25 percent of the total remaining votes. How many votes were originally cast for The Art of the Deal?",
"role": "user"
}
] |
{
"ground_truth": "1513.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\ngot_votes = 47\ntwilight_votes = 7\npercent_art = 91\npercent_twilight = 31\ngot_percentage = 25\n\n# Calculation\nremaining_art_percentage = (100 - percent_art) / 100\nremaining_twilight_votes = twilight_votes * (100 - percent_twilight) / 100\ntotal_votes_after = got_votes / (got_percentage / 100)\nart_votes_after = total_votes_after - got_votes - remaining_twilight_votes\noriginal_art_votes = art_votes_after / remaining_art_percentage\n\n# Output\nprint(original_art_votes)",
"id": 79,
"max_fluct": 5
}
|
80-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If Juan sends Keith 17 times as many messages as he sends Laurence, and Laurence sends Missy a certain number of messages based on how many he receives from Juan, and Missy received 49 messages from Laurence, how many messages does Keith receive from Juan?",
"role": "user"
}
] |
{
"ground_truth": "833.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\ncoefficient = 17\nmessages_received_by_missy = 49\n\n# Calculation\nkeith_messages = coefficient * messages_received_by_missy\n\n# Output\nprint(keith_messages)",
"id": 80,
"max_fluct": 5
}
|
82-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If the canned food drive yielded 0.23 bin of soup, 0.48 bin of vegetables, and 0.72 bin of pasta, how many total bins would all the canned food take up combined?",
"role": "user"
}
] |
{
"ground_truth": "1.43",
"style": "rule"
}
|
{
"code": "# Variable definitions\nsoup = 0.23\nvegetables = 0.48\npasta = 0.72\n\n# Calculation\ntotal = soup + vegetables + pasta\n\n# Output\nprint(total)",
"id": 82,
"max_fluct": 5
}
|
83-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If the Hawks scored 2 touchdowns, each worth 16 points, what is their total score?",
"role": "user"
}
] |
{
"ground_truth": "32.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nnum_touchdowns = 2\npoints_per_touchdown = 16\n\n# Calculation\ntotal_points = num_touchdowns * points_per_touchdown\n\n# Output\nprint(total_points)",
"id": 83,
"max_fluct": 5
}
|
84-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "A tank is being filled and drained through three pipes operating in a repeating cycle. Pipe A fills the tank at 90 liters per minute, Pipe B fills it at 41 liters per minute, and Pipe C drains it at 48 liters per minute. Each pipe is opened for one minute in the sequence A → B → C, and the cycle is repeated. If the tank is completely filled in 187 minutes, what is the total capacity of the tank?",
"role": "user"
}
] |
{
"ground_truth": "5236.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nrate_A = 90\nrate_B = 41\nrate_C = 48\ntotal_time = 187\n\n# Net water filled per cycle (3 minutes)\nnet_per_cycle = rate_A + rate_B - rate_C\n\n# Number of complete 3-minute cycles\nnumber_of_cycles = total_time // 3\n\n# Remaining minutes after complete cycles\nremaining_minutes = total_time % 3\n\n# Adjust for the example's logic (force an additional minute if no remainder)\nif remaining_minutes == 0:\n remaining_minutes = 1\n\n# Calculate additional water filled in remaining minutes\nadditional = 0\nif remaining_minutes >= 1:\n additional += rate_A\nif remaining_minutes >= 2:\n additional += rate_B\n\n# Total tank capacity\ntotal_capacity = number_of_cycles * net_per_cycle + additional\n\n# Output\nprint(total_capacity)",
"id": 84,
"max_fluct": 5
}
|
85-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Daniel made a purchase worth Rs. 12 at a shop, of which 2 paise was paid as sales tax on taxable items. If the tax rate was 2%, what was the cost of the tax-free items?",
"role": "user"
}
] |
{
"ground_truth": "11.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\ntotal_amount = 12\ntax_amount = 2\ntax_rate = 2\n\n# Calculation\ntax_amount_rupees = tax_amount / 100\ntax_rate_decimal = tax_rate / 100\ncost_taxable = tax_amount_rupees / tax_rate_decimal\ncost_tax_free = total_amount - cost_taxable\n\n# Output\nprint(cost_tax_free)",
"id": 85,
"max_fluct": 5
}
|
86-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If Johnny runs around the block once and Mickey runs around the block half as many times as Johnny, and their average distance run is 1077 meters, what is the distance of one time around the block?",
"role": "user"
}
] |
{
"ground_truth": "1436.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\njohnny_laps = 1\naverage_distance = 1077\n\n# Calculation\nmickey_laps = johnny_laps / 2\ntotal_laps = johnny_laps + mickey_laps\ndistance_per_lap = (average_distance * 2) / total_laps\n\n# Output\nprint(distance_per_lap)",
"id": 86,
"max_fluct": 5
}
|
87-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If Western rattlesnakes have 42 segments in their tails and the percentage difference in tail size between Eastern and Western rattlesnakes is 50%, expressed as a percentage of the Western rattlesnake's tail size, how many segments do Eastern rattlesnakes have in their tails?",
"role": "user"
}
] |
{
"ground_truth": "21.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nwestern_segments = 42\npercentage_difference = 50\n\n# Calculation\neastern_segments = western_segments - (percentage_difference / 100 * western_segments)\n\n# Output\nprint(eastern_segments)",
"id": 87,
"max_fluct": 5
}
|
89-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Samuel is traveling 6,444 miles to his hotel in San Francisco for Comic-Con. He first drives at a speed of 339 miles per hour for 4 hours, then increases his speed to 271 miles per hour for 8 hours, followed by a slower drive of 40 miles per hour for 13 hours, and finally drives at 92 miles per hour for 24 hours. How far is he from his hotel after these stops and breaks?",
"role": "user"
}
] |
{
"ground_truth": "192.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\ntotal_distance = 6444\nspeed_1 = 339\ntime_1 = 4\nspeed_2 = 271\ntime_2 = 8\nspeed_3 = 40\ntime_3 = 13\nspeed_4 = 92\ntime_4 = 24\n\n# Distance calculations\ndistance_1 = speed_1 * time_1\ndistance_2 = speed_2 * time_2\ndistance_3 = speed_3 * time_3\ndistance_4 = speed_4 * time_4\n\n# Total distance traveled\ntotal_traveled = distance_1 + distance_2 + distance_3 + distance_4\n\n# Remaining distance\nremaining_distance = total_distance - total_traveled\n\n# Output\nprint(remaining_distance)",
"id": 89,
"max_fluct": 5
}
|
93-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If Sam and Drew have a combined age of 77 and Sam is 0.1 times Drew's age, what is Sam's age?",
"role": "user"
}
] |
{
"ground_truth": "7.0",
"style": "rule"
}
|
{
"code": "combined_age = 77\nratio = 0.1\n\nsams_age = (combined_age * ratio) / (1 + ratio)\nprint(sams_age)",
"id": 93,
"max_fluct": 5
}
|
95-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If Mike initially had 480 nickels and his dad borrowed 358 of them, how many nickels does Mike have left?",
"role": "user"
}
] |
{
"ground_truth": "122.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\ninitial_nickels = 480\nborrowed_nickels = 358\n\n# Calculation\nremaining_nickels = initial_nickels - borrowed_nickels\n\n# Output\nprint(remaining_nickels)",
"id": 95,
"max_fluct": 5
}
|
96-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If Ali and Leila, along with four others, reserved their spots for a trip to Egypt and each received a discount of 49 due to the group of six, resulting in a total cost of 1278, what is the original price per person for the trip?",
"role": "user"
}
] |
{
"ground_truth": "262.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\ndiscount_per_person = 49\nnumber_of_people = 6\ndiscounted_total = 1278\n\n# Calculation\ntotal_discount = number_of_people * discount_per_person\noriginal_total = discounted_total + total_discount\noriginal_price_per_person = original_total / number_of_people\n\n# Output\nprint(original_price_per_person)",
"id": 96,
"max_fluct": 5
}
|
99-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "To pave a hall that is 108 meters long and 48 meters broad, stones measuring 6 decimeters by 27 decimeters are to be used. How many stones are needed in total to completely pave the hall?",
"role": "user"
}
] |
{
"ground_truth": "3200.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nlength_m = 108\nbreadth_m = 48\nstone_length_dm = 6\nstone_breadth_dm = 27\n\n# Convert hall dimensions to decimeters\nlength_dm = length_m * 10\nbreadth_dm = breadth_m * 10\n\n# Calculate areas\nhall_area = length_dm * breadth_dm\nstone_area = stone_length_dm * stone_breadth_dm\n\n# Calculate number of stones\nnum_stones = hall_area / stone_area\n\n# Output\nprint(int(num_stones))",
"id": 99,
"max_fluct": 5
}
|
100-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Zoe has already baked 11 brownies but needs a total of 25 for her party. If each brownie requires 19 cups of flour, how many more cups of flour does she still need for the remaining brownies?",
"role": "user"
}
] |
{
"ground_truth": "266.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nalready_baked = 11\ntotal_needed = 25\nflour_per_brownie = 19\n\n# Calculation\nremaining_brownies = total_needed - already_baked\nflour_required = remaining_brownies * flour_per_brownie\n\n# Output\nprint(flour_required)",
"id": 100,
"max_fluct": 5
}
|
101-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If Megan had 65 spelling problems and some math problems, and it took her 28 hours to complete all the problems at a rate of 42 problems per hour, how many math problems did she have?",
"role": "user"
}
] |
{
"ground_truth": "1111.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nspelling_problems = 65\nrate = 42\nhours = 28\n\n# Calculation\ntotal_problems = rate * hours\nmath_problems = total_problems - spelling_problems\n\n# Output\nprint(math_problems)",
"id": 101,
"max_fluct": 5
}
|
102-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If Danielle's apartment has 11 rooms, Heidi's apartment has 12 times as many rooms as Danielle's, and Jenny's apartment has 25 more rooms than Danielle's, what is the total number of rooms in Grant's apartment, which has 1/3 as many rooms as the combined total of rooms from Danielle's, Heidi's, and Jenny's apartments?",
"role": "user"
}
] |
{
"ground_truth": "59.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\ndanielle_rooms = 11\nheidi_multiplier = 12\njenny_additional = 25\ngrant_denominator = 3\n\n# Calculations\nheidi_rooms = danielle_rooms * heidi_multiplier\njenny_rooms = danielle_rooms + jenny_additional\ntotal_rooms = danielle_rooms + heidi_rooms + jenny_rooms\ngrant_rooms = total_rooms // grant_denominator\n\n# Output\nprint(grant_rooms)",
"id": 102,
"max_fluct": 5
}
|
104-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If Kevin's tree is currently 486 inches tall and has grown 50% taller since he planted it, what was its height in feet when he first planted it?",
"role": "user"
}
] |
{
"ground_truth": "27.0",
"style": "rule"
}
|
{
"code": "current_height = 486\npercent_increase = 50\n\noriginal_inches = current_height / (1 + percent_increase / 100)\noriginal_feet = original_inches / 12\n\nprint(original_feet)",
"id": 104,
"max_fluct": 5
}
|
106-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "The initial population of a village in Sri Lanka was 14,088. If 5% of the population died due to bombardment and 46% of the remaining people left the village out of fear, what is the current population of the village?",
"role": "user"
}
] |
{
"ground_truth": "7227.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\ndeath_percent = 5\nleave_percent = 46\ninitial_population = 14088\n\n# Calculation\ndeaths = round(initial_population * (death_percent / 100))\nremaining_after_deaths = initial_population - deaths\nleft_people = round(remaining_after_deaths * (leave_percent / 100))\ncurrent_population = remaining_after_deaths - left_people\n\n# Output\nprint(current_population)",
"id": 106,
"max_fluct": 5
}
|
108-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If an old water pump takes 2149 seconds to fill a trough, a newer pump takes 374 seconds, a third pump takes 1571 seconds, and a fourth pump takes 111 seconds, and there is a leak that can drain the trough in 2990 seconds, how long will it take to fill the trough when all four pumps are operating simultaneously?",
"role": "user"
}
] |
{
"ground_truth": "80.31981686698282",
"style": "rule"
}
|
{
"code": "# Variable definitions\npump1_time = 2149\npump2_time = 374\npump3_time = 1571\npump4_time = 111\nleak_time = 2990\n\n# Calculate individual rates\nrate1 = 1 / pump1_time\nrate2 = 1 / pump2_time\nrate3 = 1 / pump3_time\nrate4 = 1 / pump4_time\nleak_rate = 1 / leak_time\n\n# Net fill rate\nnet_rate = rate1 + rate2 + rate3 + rate4 - leak_rate\n\n# Total time to fill the trough\ntotal_time = 1 / net_rate\n\n# Output\nprint(total_time)",
"id": 108,
"max_fluct": 5
}
|
109-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If two employees, m and n, are paid a total of $572 per week, and m's salary is 4 percent of n's salary, what is the amount paid to n per week?",
"role": "user"
}
] |
{
"ground_truth": "550.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\npercentage = 4\ntotal_salary = 572\n\n# Calculation\ncombined_rate = 1 + (percentage / 100)\nn_salary = total_salary / combined_rate\n\n# Output\nprint(n_salary)",
"id": 109,
"max_fluct": 5
}
|
110-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If a 408-meter-long train takes 0.3 seconds to cross an electric pole, what is its speed in kilometers per hour?",
"role": "user"
}
] |
{
"ground_truth": "4896.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nlength = 408\ntime = 0.3\n\n# Calculation\nspeed_mps = length / time\nspeed_kmph = speed_mps * 3.6\n\n# Output\nprint(speed_kmph)",
"id": 110,
"max_fluct": 5
}
|
112-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If Terez has 25 cows on his farm, and 168 percent of them are female with 50 percent of the females being pregnant, how many pregnant female cows does Terez have?",
"role": "user"
}
] |
{
"ground_truth": "21.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\ntotal_cows = 25\nfemale_percent = 168\npregnant_percent = 50\n\n# Calculation\nfemale_cows = total_cows * (female_percent / 100)\npregnant_cows = female_cows * (pregnant_percent / 100)\n\n# Output\nprint(pregnant_cows)",
"id": 112,
"max_fluct": 5
}
|
114-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If the average temperature for Monday, Tuesday, Wednesday, and Thursday was 57 degrees, and the average temperature for Tuesday, Wednesday, Thursday, and Friday was 217 degrees, and the temperature on Monday was 238 degrees, what was the temperature on Friday?",
"role": "user"
}
] |
{
"ground_truth": "878.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\navg1 = 57\navg2 = 217\nmon_temp = 238\n\n# Calculate total temperatures\nsum_mon_thu = avg1 * 4\nsum_tue_thu = sum_mon_thu - mon_temp\nsum_tue_fri = avg2 * 4\n\n# Solve for Friday's temperature\nfriday_temp = sum_tue_fri - sum_tue_thu\n\n# Output\nprint(friday_temp)",
"id": 114,
"max_fluct": 5
}
|
116-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If a man is walking at a speed of 33 km/hr and crosses a bridge that is 12,650 meters long, how many minutes does it take him to cross the bridge?",
"role": "user"
}
] |
{
"ground_truth": "23.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nspeed_kmhr = 33\nbridge_length_meters = 12650\n\n# Convert speed to meters per minute\nspeed_m_per_min = (speed_kmhr * 1000) / 60\n\n# Calculate time in minutes\ntime_minutes = bridge_length_meters / speed_m_per_min\n\n# Output\nprint(time_minutes)",
"id": 116,
"max_fluct": 5
}
|
117-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If Vishal invested 50% more than Trishul, and Trishul invested 45% less than Raghu, what is the amount Raghu invested, given that the total of their investments is Rs. 32,205?",
"role": "user"
}
] |
{
"ground_truth": "13560.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\npercent_more = 50\npercent_less = 45\ntotal_sum = 32205\n\n# Calculation\ntrishul_coeff = 1 - (percent_less / 100)\nvishal_coeff = trishul_coeff * (1 + (percent_more / 100))\ntotal_coeff = 1 + trishul_coeff + vishal_coeff\nraghu = total_sum / total_coeff\n\n# Output\nprint(raghu)",
"id": 117,
"max_fluct": 5
}
|
118-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "A tourist bought 26 traveler's checks in denominations of 52 and 174. If he spends 15 checks of the 52 denomination, the average amount of the remaining checks becomes 417. What is the total worth of all the traveler's checks?",
"role": "user"
}
] |
{
"ground_truth": "5367.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\ntotal_checks = 26\ndenom1 = 52\ndenom2 = 174\nchecks_spent = 15\navg_remaining = 417\n\n# Calculation\nnumerator = (total_checks - checks_spent) * avg_remaining - denom2 * total_checks + denom1 * checks_spent\ndenominator = denom1 - denom2\nx = numerator / denominator\ny = total_checks - x\ntotal_worth = x * denom1 + y * denom2\n\n# Output\nprint(total_worth)",
"id": 118,
"max_fluct": 5
}
|
119-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "What is the length of the bridge that a train 692 meters long, traveling at a speed of 162 km/hr, can cross in 56 seconds?",
"role": "user"
}
] |
{
"ground_truth": "1828.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\ntrain_length = 692\nspeed = 162\ntime = 56\n\n# Convert speed from km/hr to m/s\nspeed_mps = speed * (1000 / 3600)\n\n# Calculate total distance traveled\ntotal_distance = speed_mps * time\n\n# Calculate bridge length\nbridge_length = total_distance - train_length\n\n# Output\nprint(bridge_length)",
"id": 119,
"max_fluct": 5
}
|
120-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "A supermarket receives a delivery of 90 cases of tins of beans, with each case containing 85 tins. After a certain percentage of the tins are found to be damaged and discarded, only 306 tins remain. What is the percentage of tins that were damaged?",
"role": "user"
}
] |
{
"ground_truth": "96.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\ncases = 90\ntins_per_case = 85\nremaining_tins = 306\n\n# Calculations\ntotal_tins = cases * tins_per_case\ndamaged_tins = total_tins - remaining_tins\npercentage_damaged = (damaged_tins / total_tins) * 100\n\n# Output\nprint(percentage_damaged)",
"id": 120,
"max_fluct": 5
}
|
121-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If a hall in a house measures 6 meters in length, 73 meters in width, and 26 meters in height, and the interior needs to be covered with mat at a cost of Rs. 72 per square meter, what will be the total expenditure?",
"role": "user"
}
] |
{
"ground_truth": "327312.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nlength = 6\nwidth = 73\nheight = 26\ncost_per_square_meter = 72\n\n# Calculation\nfloor_area = length * width\nlong_walls_area = 2 * (length * height)\nshort_walls_area = 2 * (width * height)\ntotal_area = floor_area + long_walls_area + short_walls_area\ntotal_expenditure = total_area * cost_per_square_meter\n\n# Output\nprint(total_expenditure)",
"id": 121,
"max_fluct": 5
}
|
122-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "A bucket contains a mixture of liquids A, B, and C in the ratio 35:7:6. If 17 liters of the mixture is removed and replaced with 17 liters of liquid B and 15 liters of liquid C, the ratio of liquid A to the sum of liquids B and C becomes 14:58. What was the initial quantity of liquid A in the bucket?",
"role": "user"
}
] |
{
"ground_truth": "20.880681818181817",
"style": "rule"
}
|
{
"code": "# Variable definitions\nratio_A = 35\nratio_B = 7\nratio_C = 6\nremoved_liters = 17\nadded_B = 17\nadded_C = 15\nnew_ratio_A = 14\nnew_ratio_BC = 58\n\n# Calculations\ntotal_ratio = ratio_A + ratio_B + ratio_C\nleft_coeff = new_ratio_BC * ratio_A\nright_coeff = new_ratio_A * (ratio_B + ratio_C)\nconstant_left = -new_ratio_BC * (ratio_A / total_ratio) * removed_liters\nconstant_right = new_ratio_A * (-((ratio_B + ratio_C) / total_ratio * removed_liters) + added_B + added_C)\nnumerator = constant_right - constant_left\ndenominator = left_coeff - right_coeff\nx = numerator / denominator\ninitial_A = ratio_A * x\n\n# Output\nprint(initial_A)",
"id": 122,
"max_fluct": 5
}
|
126-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If Alfred purchased an old scooter for $26,309, spent $1,665 on repairs, and achieved a gain of 19.99%, what was the selling price of the scooter?",
"role": "user"
}
] |
{
"ground_truth": "33566.0",
"style": "rule"
}
|
{
"code": "purchase_price = 26309\nrepair_cost = 1665\ngain_percent = 19.99\n\ntotal_cost = purchase_price + repair_cost\nprofit = total_cost * (gain_percent / 100)\nselling_price = total_cost + profit\nprint(round(selling_price, 2))",
"id": 126,
"max_fluct": 5
}
|
128-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If 11x + 5y = 4 and 5x + 10y = 8, what is the value of 3xy divided by 3?",
"role": "user"
}
] |
{
"ground_truth": "0.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\ncoeff1_x = 11\ncoeff1_y = 5\nconst1 = 4\ncoeff2_x = 5\ncoeff2_y = 10\nconst2 = 8\nnumerator_xy = 3\ndenominator = 3\n\n# Solve for y using elimination method\ny = (coeff1_x * const2 - coeff2_x * const1) / (coeff1_x * coeff2_y - coeff2_x * coeff1_y)\n\n# Solve for x using substitution\nx = (const1 - coeff1_y * y) / coeff1_x\n\n# Calculate final expression\nresult = (numerator_xy * x * y) / denominator\n\n# Output\nprint(result)",
"id": 128,
"max_fluct": 5
}
|
129-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "In a government institute, there are 92 staff members employed. During the festival season, the boss provides a festival allowance to all and gives Rs. 363,289 to the accountant for calculation. He instructs the accountant to calculate the allowance for a certain number of days at a rate of Rs. 324 per day per staff member. The remaining amount, which is adjusted from petty cash (Rs. 1,757), is to be given to the driver and cleaning staff. For how many days was the accountant instructed to calculate the festival allowance?",
"role": "user"
}
] |
{
"ground_truth": "12.0",
"style": "rule"
}
|
{
"code": "staff_count = 92\nrate = 324\ntotal_amount = 363289\npetty_cash_amount = 1757\n\ntotal_available = total_amount + petty_cash_amount\nstaff_allowance = total_available - petty_cash_amount\ndays = staff_allowance / (staff_count * rate)\ndays = int(days)\n\nprint(days)",
"id": 129,
"max_fluct": 5
}
|
130-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "The average age of 97 students in a class is 116 years. Among them, the average age of 53 students is 19 years, and the average age of another 14 students is 38 years. What is the age of the 97th student?",
"role": "user"
}
] |
{
"ground_truth": "9713.0",
"style": "rule"
}
|
{
"code": "total_students = 97\naverage_all = 116\ngroup1_students = 53\naverage_group1 = 19\ngroup2_students = 14\naverage_group2 = 38\n\ntotal_all = total_students * average_all\ntotal_group1 = group1_students * average_group1\ntotal_group2 = group2_students * average_group2\n\nage_20th = total_all - (total_group1 + total_group2)\n\nprint(age_20th)",
"id": 130,
"max_fluct": 5
}
|
132-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Given the equations 9x + 5y = 30 and 4x + 2y = 12, what is the value of the denominator in the expression 2xy / [some number] if the result of the expression is 8?",
"role": "user"
}
] |
{
"ground_truth": "-0.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\na1 = 9\nb1 = 5\nc1 = 30\na2 = 4\nb2 = 2\nc2 = 12\nresult = 8\n\n# Solve system of equations\nD = a1 * b2 - a2 * b1\nx = (c1 * b2 - c2 * b1) / D\ny = (a1 * c2 - a2 * c1) / D\n\n# Calculate 2xy and find the unknown number\ntwo_xy = 2 * x * y\nsome_number = two_xy / result\n\n# Output\nprint(some_number)",
"id": 132,
"max_fluct": 5
}
|
133-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If Tommy saw 22 trucks and some cars, and observed a total of 156 wheels, how many cars did he see?",
"role": "user"
}
] |
{
"ground_truth": "17.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nnum_trucks = 22\ntotal_wheels = 156\n\n# Calculation\ntruck_wheels = num_trucks * 4\ncar_wheels = total_wheels - truck_wheels\ncars = car_wheels / 4\n\n# Output\nprint(cars)",
"id": 133,
"max_fluct": 5
}
|
134-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "At the beginning of the day, Larry's grocery had 36 lemons and 60 oranges. By the end of the day, only 3 lemons and 10 oranges remained. By approximately what percent did the ratio of lemons to oranges decrease from the store's opening to its closing?",
"role": "user"
}
] |
{
"ground_truth": "50.0",
"style": "rule"
}
|
{
"code": "opening_lemons = 36\nopening_oranges = 60\nclosing_lemons = 3\nclosing_oranges = 10\n\ninitial_ratio = opening_lemons / opening_oranges\nfinal_ratio = closing_lemons / closing_oranges\ndecrease = initial_ratio - final_ratio\npercent_decrease = (decrease / initial_ratio) * 100\n\nprint(percent_decrease)",
"id": 134,
"max_fluct": 5
}
|
135-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "What is the distance covered by a man who walks for 256 minutes at a speed of 45 kilometers per hour?",
"role": "user"
}
] |
{
"ground_truth": "192.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\ntime_minutes = 256\nspeed_kmph = 45\n\n# Calculation\ntime_hours = time_minutes / 60\ndistance = speed_kmph * time_hours\n\n# Output\nprint(distance)",
"id": 135,
"max_fluct": 5
}
|
136-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If a man can row his boat at a speed of 103 km/h with the stream and 11 km/h against the stream, what is the man's rowing rate in still water?",
"role": "user"
}
] |
{
"ground_truth": "57.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\ndownstream_speed = 103\nupstream_speed = 11\n\n# Calculation\nman_rate = (downstream_speed + upstream_speed) / 2\n\n# Output\nprint(man_rate)",
"id": 136,
"max_fluct": 5
}
|
137-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "In a kennel, each dog is a single color and either has long fur or does not. Out of the 87 dogs, 109 have long fur, 140 are brown, and 5 are neither long-furred nor brown. How many long-furred dogs are brown?",
"role": "user"
}
] |
{
"ground_truth": "167.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\ntotal_dogs = 87\nlong_fur = 109\nbrown = 140\nneither = 5\n\n# Calculation\neither = total_dogs - neither\nboth = long_fur + brown - either\n\n# Output\nprint(both)",
"id": 137,
"max_fluct": 5
}
|
138-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If a square has sides of length 21 centimeters and its area is equal to the area of a rectangle with a length of 1 centimeter, what is the width of the rectangle in centimeters?",
"role": "user"
}
] |
{
"ground_truth": "441.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nsquare_side = 21\nrectangle_length = 1\n\n# Calculation\nsquare_area = square_side ** 2\nrectangle_width = square_area / rectangle_length\n\n# Output\nprint(rectangle_width)",
"id": 138,
"max_fluct": 5
}
|
139-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "What is the total time required for a person walking at 14 ft/sec to cover two escalators, where the first escalator is 207 feet long and moves at 32 ft/sec, and the second escalator is 80 feet long and moves at 18 ft/sec?",
"role": "user"
}
] |
{
"ground_truth": "7.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nescalator1_speed = 32\nescalator1_length = 207\nescalator2_speed = 18\nescalator2_length = 80\nperson_speed = 14\n\n# Calculations\ntime1 = escalator1_length / (escalator1_speed + person_speed)\ntime2 = escalator2_length / (escalator2_speed + person_speed)\ntotal_time = time1 + time2\n\n# Output\nprint(total_time)",
"id": 139,
"max_fluct": 5
}
|
140-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If Tanner saved $1 in September, $51 in October, $84 in November, and $148 in December, and then spent $14 on a video game (after receiving a 54% discount) and $104 on a new pair of shoes (with 7% sales tax applied to the total cost of his purchases), how much money does he have left?",
"role": "user"
}
] |
{
"ground_truth": "165.82999999999998",
"style": "rule"
}
|
{
"code": "# Variable definitions\nsep = 1\noct = 51\nnov = 84\ndec = 148\ngame = 14\nshoes = 104\ndiscount = 54\ntax = 7\n\n# Calculations\ntotal_saved = sep + oct + nov + dec\ngame_discount = game * (discount / 100)\ngame_after_discount = game - game_discount\ntotal_before_tax = game_after_discount + shoes\ntax_amount = total_before_tax * (tax / 100)\ntax_amount_rounded = round(tax_amount, 2)\ntotal_cost = total_before_tax + tax_amount_rounded\nmoney_left = total_saved - total_cost\n\n# Output\nprint(money_left)",
"id": 140,
"max_fluct": 5
}
|
141-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If the run rate was 19.99 in the first 34 overs of a cricket game, what should be the required run rate in the remaining 203 overs to achieve a target of 969 runs?",
"role": "user"
}
] |
{
"ground_truth": "1.4253201970443352",
"style": "rule"
}
|
{
"code": "# Variable definitions\nfirst_overs = 34\nfirst_run_rate = 19.99\nremaining_overs = 203\ntarget_runs = 969\n\n# Calculation\nruns_scored = first_overs * first_run_rate\nruns_needed = target_runs - runs_scored\nrequired_run_rate = runs_needed / remaining_overs\n\n# Output\nprint(required_run_rate)",
"id": 141,
"max_fluct": 5
}
|
143-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Blake plans to make milkshakes for his family on Friday and requires a specific amount of milk and 36 ounces of ice cream for each milkshake. He starts with 349 ounces of milk and 6 ounces of ice cream. After making the milkshakes, he is left with 7 ounces of milk. How many ounces of milk does he need for each milkshake?",
"role": "user"
}
] |
{
"ground_truth": "2052.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\ninitial_milk = 349\nice_cream_total = 6\nmilk_leftover = 7\nice_cream_per_shake = 36\n\n# Calculations\nmilk_used = initial_milk - milk_leftover\nnum_shakes = ice_cream_total / ice_cream_per_shake\nmilk_per_shake = milk_used / num_shakes\n\n# Output\nprint(milk_per_shake)",
"id": 143,
"max_fluct": 5
}
|
144-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "A 6-liter vessel contains a liquid with 18% alcohol, and an 8-liter vessel contains a liquid with an unknown alcohol concentration. When the total of 34 liters of liquid is transferred into a 49-liter vessel, the remaining capacity is filled with water, resulting in a new mixture with a 12% alcohol concentration. What was the initial alcohol concentration in the 8-liter vessel?",
"role": "user"
}
] |
{
"ground_truth": "60.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nv1_capacity = 6\nv1_percent = 18\nv2_capacity = 8\ntotal_capacity = 34\nfinal_capacity = 49\nfinal_percent = 12\n\n# Calculations\nalcohol_from_v1 = (v1_percent / 100) * v1_capacity\nalcohol_total = (final_percent / 100) * final_capacity\nalcohol_from_v2 = alcohol_total - alcohol_from_v1\ninitial_concentration = (alcohol_from_v2 / v2_capacity) * 100\n\n# Output\nprint(initial_concentration)",
"id": 144,
"max_fluct": 5
}
|
147-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Gina collected 28 bags of litter during the neighborhood clean-up, and the rest of the neighborhood collectively gathered 177 times the amount Gina collected. If each bag of litter weighs 1 pound, what is the total weight in pounds of all the litter they collected?",
"role": "user"
}
] |
{
"ground_truth": "4984.0",
"style": "rule"
}
|
{
"code": "gina_bags = 28\nmultiplier = 177\nweight_per_bag = 1\n\nneighborhood_bags = gina_bags * multiplier\ntotal_bags = gina_bags + neighborhood_bags\ntotal_weight = total_bags * weight_per_bag\n\nprint(total_weight)",
"id": 147,
"max_fluct": 5
}
|
148-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If an integer n leaves a remainder of 10 when divided by 93, what is the remainder when 9n is divided by 2?",
"role": "user"
}
] |
{
"ground_truth": "0.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nremainder = 10\ndivisor = 93\nmultiplier = 9\nnew_divisor = 2\n\n# Calculation\nresult = (multiplier * remainder) % new_divisor\n\n# Output\nprint(result)",
"id": 148,
"max_fluct": 5
}
|
149-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If the side length of a square is increased from 12 cm by 5 cm, what is the increase in its area?",
"role": "user"
}
] |
{
"ground_truth": "145.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\noriginal_side = 12\nincrease_amount = 5\n\n# Calculations\noriginal_area = original_side ** 2\nnew_side = original_side + increase_amount\nnew_area = new_side ** 2\narea_increase = new_area - original_area\n\n# Output\nprint(area_increase)",
"id": 149,
"max_fluct": 5
}
|
150-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If a bacteria culture doubles in population every 7 minutes, what is the final population after approximately 102.67 minutes, starting from an initial population of 4100 bacteria?",
"role": "user"
}
] |
{
"ground_truth": "134348800.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\ninitial_population = 4100\ndoubling_time = 7\ntime = 102.67\n\n# Calculation\ndoublings = time / doubling_time\ndoublings_rounded = round(doublings)\nfinal_population = initial_population * (2 ** doublings_rounded)\n\n# Output\nprint(final_population)",
"id": 150,
"max_fluct": 5
}
|
151-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If the length of a rectangular hall is 18 meters more than its breadth and the area of the hall is 448 square meters, what is the length of the hall?",
"role": "user"
}
] |
{
"ground_truth": "32.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nlength_difference = 18\narea = 448\n\n# Quadratic equation coefficients\na = 1\nb = length_difference\nc = -area\n\n# Calculate discriminant\ndiscriminant = b**2 - 4*a*c\n\n# Calculate roots\nbreadth1 = (-b + discriminant**0.5) / (2*a)\nbreadth2 = (-b - discriminant**0.5) / (2*a)\n\n# Select positive breadth\nbreadth = max(breadth1, breadth2)\n\n# Calculate length\nlength = breadth + length_difference\n\n# Output\nprint(length)",
"id": 151,
"max_fluct": 5
}
|
152-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "A man has a total of Rs. 23069 in the form of notes, consisting of 29 notes of Rs. 9 denomination and another type of denomination. If the total number of notes is 37, what is the denomination of the remaining notes?",
"role": "user"
}
] |
{
"ground_truth": "2851.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\ntotal_amount = 23069\ntotal_notes = 37\nfifty_notes = 29\nfifty_denomination = 9\n\n# Calculation\namount_from_fifty = fifty_notes * fifty_denomination\nremaining_amount = total_amount - amount_from_fifty\nremaining_notes = total_notes - fifty_notes\ndenomination = remaining_amount / remaining_notes\n\n# Output\nprint(denomination)",
"id": 152,
"max_fluct": 5
}
|
153-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If there are 4 bicycles and 40 tricycles in the storage area, with each tricycle having 3 wheels and the total number of wheels being 124, how many wheels does each bicycle have?",
"role": "user"
}
] |
{
"ground_truth": "1.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nnum_bicycles = 4\nnum_tricycles = 40\ntotal_wheels = 124\n\n# Calculation\ntricycle_wheels = num_tricycles * 3\nbicycle_wheels_total = total_wheels - tricycle_wheels\nwheels_per_bicycle = bicycle_wheels_total / num_bicycles\n\n# Output\nprint(wheels_per_bicycle)",
"id": 153,
"max_fluct": 5
}
|
154-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Jessica initially withdrew $249 from her bank account, which reduced her balance by 5/5. She then made another withdrawal, decreasing her balance by 1/15. Following this, she deposited an amount equal to 1/7 of her current balance, and finally made another deposit that increased her balance by 12/7 of the current amount. What will be the final balance in Jessica's bank account after all these transactions?",
"role": "user"
}
] |
{
"ground_truth": "0.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nfirst_withdrawal = 249\nfirst_fraction = 5/5\nsecond_fraction = 1/15\nthird_fraction = 1/7\nfinal_fraction_increase = 12/7\n\n# Step 1: Calculate original balance\noriginal_balance = first_withdrawal / first_fraction\n\n# Step 2: Balance after first withdrawal\nbalance_after_first = original_balance - first_withdrawal\n\n# Step 3: Second withdrawal\nsecond_withdrawal = balance_after_first * second_fraction\nbalance_after_second = balance_after_first - second_withdrawal\n\n# Step 4: Deposit after second withdrawal\ndeposit_third = balance_after_second * third_fraction\nbalance_after_third = balance_after_second + deposit_third\n\n# Step 5: Final deposit calculation\nD = (final_fraction_increase * balance_after_third) / (1 - final_fraction_increase)\nfinal_balance = balance_after_third + D\n\n# Output\nprint(final_balance)",
"id": 154,
"max_fluct": 5
}
|
159-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "What is the time it takes for a 500-meter-long train traveling at a speed of 432 km/hr to completely cross a 616-meter-long bridge?",
"role": "user"
}
] |
{
"ground_truth": "9.3",
"style": "rule"
}
|
{
"code": "# Variable definitions\ntrain_length = 500\nbridge_length = 616\nspeed_kmph = 432\n\n# Calculation\ntotal_distance = train_length + bridge_length\nspeed_ms = speed_kmph * (5/18)\ntime = total_distance / speed_ms\n\n# Output\nprint(time)",
"id": 159,
"max_fluct": 5
}
|
160-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "What value of A satisfies the condition of producing 6 loaves per hour and 3 baguettes every 2 hours to make a total of 225 breads?",
"role": "user"
}
] |
{
"ground_truth": "30.0",
"style": "rule"
}
|
{
"code": "loaves_per_hour = 6\nbaguettes_every_2_hours = 3\ntotal_breads = 225\n\ntotal_hourly_rate = loaves_per_hour + (baguettes_every_2_hours / 2)\nhours = total_breads / total_hourly_rate\n\nprint(hours)",
"id": 160,
"max_fluct": 5
}
|
162-paraphrase_question
|
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If 9 adults attended a play with some children, and adult tickets cost $27 each while children's tickets cost $30 each, with the total cost of adult tickets being $213 more than the total cost of children's tickets, how many children attended the play?",
"role": "user"
}
] |
{
"ground_truth": "1.0",
"style": "rule"
}
|
{
"code": "# Variable definitions\nadults = 9\nadult_price = 27\nchild_price = 30\ndifference = 213\n\n# Calculation\ntotal_adult = adults * adult_price\nchildren = (total_adult - difference) / child_price\n\n# Output\nprint(int(children))",
"id": 162,
"max_fluct": 5
}
|
End of preview. Expand
in Data Studio
📘 AdaR Dataset (Perturbation + Paraphrase)
The AdaR Dataset is constructed for enabling adaptive reasoning, derived from 9,000 examples randomly sampled from the ORCA-MATH-200K dataset.
📄 Citation
If you use this dataset, please cite:
@misc{lai2025makingmathematicalreasoningadaptive,
title={Making Mathematical Reasoning Adaptive},
author={Zhejian Lai and Xiang Geng and Zhijun Wang and Yang Bai and Jiahuan Li and Rongxiang Weng and Jingang Wang and Xuezhi Cao and Xunliang Cai and Shujian Huang},
year={2025},
eprint={2510.04617},
archivePrefix={arXiv},
primaryClass={cs.AI},
url={https://arxiv.org/abs/2510.04617},
}
- Downloads last month
- 21
Size of downloaded dataset files:
2.16 MB
Size of the auto-converted Parquet files:
2.16 MB
Number of rows:
8,720