messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Ravi has 21 apples and buys 131 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 21 + 131 = 152.\n</reasoning>\nFinal Answer: 152"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -380 - 715"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 715 from -380: -380 - 715 = -1095.\n</reasoning>\nFinal Answer: -1095"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 16/5 - 14/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/5 - 14/1. LCD = 5. Result = -54/5.\n</reasoning>\nFinal Answer: -54/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 41 = -523"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 12x = -564. Divide by 12: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹2155. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2155 × 5/100 = 107.75. Total = 2155 + 107.75 = 2262.75.\n</reasoning>\nFinal Answer: 2262.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 6/3 + 12/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/3 + 12/2. Common denominator = 1. Result = 8.\n</reasoning>\nFinal Answer: 8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 15/15 * 14/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/15) × (14/1) = (210/15) = 14 after simplification.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 12 = -326"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 13x = -338. Divide by 13: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (50 + 31) * (42 - 1)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (50+31)=81, (42-1)=41, then 81×41=3321.\n</reasoning>\nFinal Answer: 3321"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -345 ÷ 785"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -345 by 785. -345 ÷ 785 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 47, 31 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (47+31) × 13 = 507.0.\n</reasoning>\nFinal Answer: 507.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 118 km/h. How far does it travel in 2 hours and 6 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 6/60 = 2.1000 hours. Distance = speed × time = 118 × 2.1000 = 247.8 km.\n</reasoning>\nFinal Answer: 247.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 8/2 - 8/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/2 - 8/17. LCD = 17. Result = 60/17.\n</reasoning>\nFinal Answer: 60/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:30 and A = 12, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/30, so B = A × (30/41) = 12 × 30/41 = 8.7805.\n</reasoning>\nFinal Answer: 8.7805"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 615 ÷ 71"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 615 by 71. 615 ÷ 71 = 8 (integer division).\n</reasoning>\nFinal Answer: 8"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 4 apples and buys 143 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 4 + 143 = 147.\n</reasoning>\nFinal Answer: 147"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 49 and common difference 3, find the 30th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 49 + (30-1)×3 = 49 + 87 = 136.\n</reasoning>\nFinal Answer: 136"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 26 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 26 = 78 worker-days. New time = 78 / 7 = 11.1429 days.\n</reasoning>\nFinal Answer: 11.1429"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 248 ÷ -537"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 248 by -537. 248 ÷ -537 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/17 + 10/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/17 + 10/3. Common denominator = 51. Result = 188/51.\n</reasoning>\nFinal Answer: 188/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 30 and height 78."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 30 × 78 = 2340.\n</reasoning>\nFinal Answer: 2340"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 878 mod -347"
},
{
"role": "assistant",
"content": "<reasoning>\n878 mod -347: 878 = -347 × -3 + -163, so remainder = -163.\n</reasoning>\nFinal Answer: -163"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 24 * 46 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 24×46=1104, then 39+1104-31=1112.\n</reasoning>\nFinal Answer: 1112"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 16/13 + 14/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/13 + 14/2. Common denominator = 13. Result = 107/13.\n</reasoning>\nFinal Answer: 107/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 55 and height 18."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 55 × 18 = 495.0.\n</reasoning>\nFinal Answer: 495.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -589 × -430"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -589 by -430: -589 × -430 = 253270.\n</reasoning>\nFinal Answer: 253270"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/13 + 6/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/13 + 6/8. Common denominator = 52. Result = 43/52.\n</reasoning>\nFinal Answer: 43/52"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 670 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 7%: 670 × (1 + 7/100) = 670 × 1.07 = 716.9.\n</reasoning>\nFinal Answer: 716.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (13 + 37) * (13 - 32)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (13+37)=50, (13-32)=-19, then 50×-19=-950.\n</reasoning>\nFinal Answer: -950"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (39 + 15) * (5 - 45)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (39+15)=54, (5-45)=-40, then 54×-40=-2160.\n</reasoning>\nFinal Answer: -2160"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:18 and A = 24, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/18, so B = A × (18/2) = 24 × 18/2 = 216.0.\n</reasoning>\nFinal Answer: 216.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 1/4 + 8/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/4 + 8/13. Common denominator = 52. Result = 45/52.\n</reasoning>\nFinal Answer: 45/52"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -889 - 145"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 145 from -889: -889 - 145 = -1034.\n</reasoning>\nFinal Answer: -1034"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [4, 6, 7, 8, 11, 13, 18] and B = [1, 2, 3, 10, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 6, 7, 8, 11, 13].\n</reasoning>\nFinal Answer: [4, 6, 7, 8, 11, 13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Decrease 191 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 191 × (1 - 7/100) = 191 × 0.9299999999999999 = 177.63.\n</reasoning>\nFinal Answer: 177.63"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 7 apples and buys 32 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 7 + 32 = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -729 + 826"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -729 and 826: -729 + 826 = 97.\n</reasoning>\nFinal Answer: 97"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [3, 11, 14, 15, 18, 19] and B = [1, 2, 7, 15], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 7, 11, 14, 15, 18, 19].\n</reasoning>\nFinal Answer: [1, 2, 3, 7, 11, 14, 15, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -10 = 262"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 16x = 272. Divide by 16: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 404."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 404 by smallest primes repeatedly: 404 = 2 × 2 × 101.\n</reasoning>\nFinal Answer: 2 × 2 × 101"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:44 and A = 1, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/44, so B = A × (44/1) = 1 × 44/1 = 44.0.\n</reasoning>\nFinal Answer: 44.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 201 × -613"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 201 by -613: 201 × -613 = -123213.\n</reasoning>\nFinal Answer: -123213"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [98, 65, 28, 78, 86, 23, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 23 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 12 = 212"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 5x = 200. Divide by 5: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (30 + 6) * (37 - 20)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (30+6)=36, (37-20)=17, then 36×17=612.\n</reasoning>\nFinal Answer: 612"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹1819. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1819 × 12/100 = 218.28. Total = 1819 + 218.28 = 2037.28.\n</reasoning>\nFinal Answer: 2037.28"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 459 + 749"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 459 and 749: 459 + 749 = 1208.\n</reasoning>\nFinal Answer: 1208"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 * 22 + 29 * 41"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 10×22=220 and 29×41=1189, then add: 1409.\n</reasoning>\nFinal Answer: 1409"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -482 + 857"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -482 and 857: -482 + 857 = 375.\n</reasoning>\nFinal Answer: 375"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 25 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 25 = 300 worker-days. New time = 300 / 13 = 23.0769 days.\n</reasoning>\nFinal Answer: 23.0769"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [78, 61, 63, 45, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [27, 45, 61, 63, 78]. Middle value(s) → median = 61.\n</reasoning>\nFinal Answer: 61"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 449."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 449 by smallest primes repeatedly: 449 = 449.\n</reasoning>\nFinal Answer: 449"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 39:29 and A = 57, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 39/29, so B = A × (29/39) = 57 × 29/39 = 42.3846.\n</reasoning>\nFinal Answer: 42.3846"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 48 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 48 × (1 + 12/100) = 48 × 1.12 = 53.76.\n</reasoning>\nFinal Answer: 53.76"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 102 km apart. Their speeds are 65 km/h and 114 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 65+114=179 km/h. Time = 102/179 = 0.5698 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (11 + 50) * (10 - 34)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (11+50)=61, (10-34)=-24, then 61×-24=-1464.\n</reasoning>\nFinal Answer: -1464"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -588 - -602"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -602 from -588: -588 - -602 = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [33, 35, 43, 22, 31, 83, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {33: 1, 35: 1, 43: 1, 22: 1, 31: 1, 83: 1, 80: 1}. Most frequent: [33, 35, 43, 22, 31, 83, 80].\n</reasoning>\nFinal Answer: [33, 35, 43, 22, 31, 83... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 10 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 10 = 50 worker-days. New time = 50 / 9 = 5.5556 days.\n</reasoning>\nFinal Answer: 5.5556"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [83, 4, 17, 88, 75, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {83: 1, 4: 1, 17: 1, 88: 1, 75: 1, 8: 1}. Most frequent: [83, 4, 17, 88, 75, 8].\n</reasoning>\nFinal Answer: [83, 4, 17, 88, 75, 8]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (12 + 39) * (40 - 40)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (12+39)=51, (40-40)=0, then 51×0=0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 14/16 / 7/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/16) ÷ (7/19) = (14/16) × (19/7) = 19/8.\n</reasoning>\nFinal Answer: 19/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -33 = 927"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 20x = 960. Divide by 20: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 39 + -362"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 39 and -362: 39 + -362 = -323.\n</reasoning>\nFinal Answer: -323"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 5 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 5 = 15 worker-days. New time = 15 / 2 = 7.5 days.\n</reasoning>\nFinal Answer: 7.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [65, 61, 93, 81, 16, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 368/6 = 61.3333.\n</reasoning>\nFinal Answer: 61.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 1 and common difference 15, find the 37th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 1 + (37-1)×15 = 1 + 540 = 541.\n</reasoning>\nFinal Answer: 541"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "An item costs ₹4056. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4056 × 5/100 = 202.8. Total = 4056 + 202.8 = 4258.8.\n</reasoning>\nFinal Answer: 4258.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:18 and A = 67, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/18, so B = A × (18/31) = 67 × 18/31 = 38.9032.\n</reasoning>\nFinal Answer: 38.9032"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 44 km/h. How far does it travel in 3 hours and 25 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 25/60 = 3.4167 hours. Distance = speed × time = 44 × 3.4167 = 150.3333 km.\n</reasoning>\nFinal Answer: 150.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [4, 9, 10, 18] and B = [2, 8, 12, 13, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [].\n</reasoning>\nFinal Answer: []"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 744 - 698"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 698 from 744: 744 - 698 = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 375."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 375 by smallest primes repeatedly: 375 = 3 × 5 × 5 × 5.\n</reasoning>\nFinal Answer: 3 × 5 × 5 × 5"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: -477 + -166"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -477 and -166: -477 + -166 = -643.\n</reasoning>\nFinal Answer: -643"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹46641 at 1% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 46641 × 1 × 1 / 100 = 466.41.\n</reasoning>\nFinal Answer: 466.41"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 2/5 + 15/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/5 + 15/7. Common denominator = 35. Result = 89/35.\n</reasoning>\nFinal Answer: 89/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 29 and width 58."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 29 × 58 = 1682.\n</reasoning>\nFinal Answer: 1682"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 11, 19] and B = [6, 9, 10, 11, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [11].\n</reasoning>\nFinal Answer: [11]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 3 and 48."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (3×48)/3 = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 435."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 435 by smallest primes repeatedly: 435 = 3 × 5 × 29.\n</reasoning>\nFinal Answer: 3 × 5 × 29"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 * 34 + 20 * 26"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 18×34=612 and 20×26=520, then add: 1132.\n</reasoning>\nFinal Answer: 1132"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 64 and width 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 64 × 27 = 1728.\n</reasoning>\nFinal Answer: 1728"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 11/16 - 13/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/16 - 13/5. LCD = 80. Result = -153/80.\n</reasoning>\nFinal Answer: -153/80"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [35, 60, 83, 53, 47, 72]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 83 - 35 = 48.\n</reasoning>\nFinal Answer: 48"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 301 mod 866"
},
{
"role": "assistant",
"content": "<reasoning>\n301 mod 866: 301 = 866 × 0 + 301, so remainder = 301.\n</reasoning>\nFinal Answer: 301"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [52, 89, 59, 66, 100, 68, 22, 83, 54, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 22 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 47 = 863"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 24x = 816. Divide by 24: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 328 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 328 × (1 - 17/100) = 328 × 0.83 = 272.24.\n</reasoning>\nFinal Answer: 272.24"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [19, 69, 39, 100, 50, 39, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {19: 1, 69: 1, 39: 2, 100: 1, 50: 1, 38: 1}. Most frequent: 39.\n</reasoning>\nFinal Answer: 39"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mode of: [10, 63, 70, 20, 53, 56, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {10: 1, 63: 1, 70: 1, 20: 1, 53: 1, 56: 1, 66: 1}. Most frequent: [10, 63, 70, 20, 53, 56, 66].\n</reasoning>\nFinal Answer: [10, 63, 70, 20, 53, 56... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 13 and height 70."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 13 × 70 = 910.\n</reasoning>\nFinal Answer: 910"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 2, 48 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (2+48) × 5 = 125.0.\n</reasoning>\nFinal Answer: 125.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [88, 3, 11, 25, 78, 34, 44, 21, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 11, 15, 21, 25, 34, 44, 78, 88]. Middle value(s) → median = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 5, 10, 13, 19] and B = [6, 10, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [10].\n</reasoning>\nFinal Answer: [10]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mean of: [79, 94, 10, 10, 58, 52, 28, 5, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 337/9 = 37.4444.\n</reasoning>\nFinal Answer: 37.4444"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 20/20 - 10/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/20 - 10/8. LCD = 4. Result = -1/4.\n</reasoning>\nFinal Answer: -1/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 19/1 - 17/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/1 - 17/13. LCD = 13. Result = 230/13.\n</reasoning>\nFinal Answer: 230/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 76 and width 40."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(76+40) = 2×116 = 232.\n</reasoning>\nFinal Answer: 232"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹20489 at 2% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 20489 × 2 × 9 / 100 = 3688.02.\n</reasoning>\nFinal Answer: 3688.02"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 678 × 134"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 678 by 134: 678 × 134 = 90852.\n</reasoning>\nFinal Answer: 90852"
}
] | medium | [
"arithmetic",
"computation"
] |
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