messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Given A = [8, 11, 14] and B = [3, 6, 9, 13, 16, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [8, 11, 14].\n</reasoning>\nFinal Answer: [8, 11, 14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "An item costs ₹2714. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2714 × 18/100 = 488.52. Total = 2714 + 488.52 = 3202.52.\n</reasoning>\nFinal Answer: 3202.52"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -518 - -884"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -884 from -518: -518 - -884 = 366.\n</reasoning>\nFinal Answer: 366"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [31, 33, 95, 60, 28, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [28, 31, 33, 44, 60, 95]. Middle value(s) → median = 38.5.\n</reasoning>\nFinal Answer: 38.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 5/10 - 1/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/10 - 1/18. LCD = 18. Result = 4/9.\n</reasoning>\nFinal Answer: 4/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 37 * 6 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 37×6=222, then 40+222-48=214.\n</reasoning>\nFinal Answer: 214"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [47, 100, 6, 32, 21, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 213/6 = 35.5.\n</reasoning>\nFinal Answer: 35.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 14/8 * 12/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/8) × (12/8) = (168/64) = 21/8 after simplification.\n</reasoning>\nFinal Answer: 21/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 40 ** 2 - 11"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 40²=1600, then 1+1600-11=1590.\n</reasoning>\nFinal Answer: 1590"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 12/1 / 17/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/1) ÷ (17/14) = (12/1) × (14/17) = 168/17.\n</reasoning>\nFinal Answer: 168/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 11/3 * 7/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/3) × (7/11) = (77/33) = 7/3 after simplification.\n</reasoning>\nFinal Answer: 7/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 7 * 28 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 7×28=196, then 1+196-33=164.\n</reasoning>\nFinal Answer: 164"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 5 = -261"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 19x = -266. Divide by 19: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 20 and 9."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (20×9)/1 = 180.\n</reasoning>\nFinal Answer: 180"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 49 and common difference 20, find the 36th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 49 + (36-1)×20 = 49 + 700 = 749.\n</reasoning>\nFinal Answer: 749"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 17/4 + 7/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/4 + 7/5. Common denominator = 20. Result = 113/20.\n</reasoning>\nFinal Answer: 113/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 1/17 - 18/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/17 - 18/20. LCD = 170. Result = -143/170.\n</reasoning>\nFinal Answer: -143/170"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 9 and 9."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (9×9)/9 = 9.\n</reasoning>\nFinal Answer: 9"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 39, 27 and height 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (39+27) × 29 = 957.0.\n</reasoning>\nFinal Answer: 957.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 40% of 114?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 114 = (40/100) × 114 = 45.6.\n</reasoning>\nFinal Answer: 45.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -19 = 344"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 11x = 363. Divide by 11: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 4 = 92"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 2x = 88. Divide by 2: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -88 - -4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from -88: -88 - -4 = -84.\n</reasoning>\nFinal Answer: -84"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 47 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 47 × (1 + 5/100) = 47 × 1.05 = 49.35.\n</reasoning>\nFinal Answer: 49.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 5% of 339?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 339 = (5/100) × 339 = 16.95.\n</reasoning>\nFinal Answer: 16.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 44 * 33 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 44×33=1452, then 45+1452-44=1453.\n</reasoning>\nFinal Answer: 1453"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 437 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from 437: 437 - 33 = 404.\n</reasoning>\nFinal Answer: 404"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:41 and A = 19, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/41, so B = A × (41/21) = 19 × 41/21 = 37.0952.\n</reasoning>\nFinal Answer: 37.0952"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [87, 74, 32, 24, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {87: 1, 74: 2, 32: 1, 24: 1}. Most frequent: 74.\n</reasoning>\nFinal Answer: 74"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mean of: [62, 39, 62, 63, 91, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 397/6 = 66.1667.\n</reasoning>\nFinal Answer: 66.1667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 39 and height 66."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 39 × 66 = 1287.0.\n</reasoning>\nFinal Answer: 1287.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 42, 41 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (42+41) × 2 = 83.0.\n</reasoning>\nFinal Answer: 83.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [16, 17, 18, 19, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 16 and common difference 1. Next term = 20 + 1 = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 415."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 415 by smallest primes repeatedly: 415 = 5 × 83.\n</reasoning>\nFinal Answer: 5 × 83"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "A train travels at 191 km/h. How far does it travel in 3 hours and 55 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 55/60 = 3.9167 hours. Distance = speed × time = 191 × 3.9167 = 748.0833 km.\n</reasoning>\nFinal Answer: 748.0833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [91, 64, 39, 5, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 5 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mode of: [27, 14, 26, 98, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {27: 1, 14: 1, 26: 1, 98: 1, 66: 1}. Most frequent: [27, 14, 26, 98, 66].\n</reasoning>\nFinal Answer: [27, 14, 26, 98, 66]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 12 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 12 = 144 worker-days. New time = 144 / 5 = 28.8 days.\n</reasoning>\nFinal Answer: 28.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (2 + 39) * (18 - 39)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (2+39)=41, (18-39)=-21, then 41×-21=-861.\n</reasoning>\nFinal Answer: -861"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 300 mod 716"
},
{
"role": "assistant",
"content": "<reasoning>\n300 mod 716: 300 = 716 × 0 + 300, so remainder = 300.\n</reasoning>\nFinal Answer: 300"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:9 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/9, so B = A × (9/26) = 75 × 9/26 = 25.9615.\n</reasoning>\nFinal Answer: 25.9615"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 10 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 10 = 160 worker-days. New time = 160 / 17 = 9.4118 days.\n</reasoning>\nFinal Answer: 9.4118"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 52 and 192."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(52,192) = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 653 - -296"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -296 from 653: 653 - -296 = 949.\n</reasoning>\nFinal Answer: 949"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [45, 18, 43, 27, 6, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 46 - 6 = 40.\n</reasoning>\nFinal Answer: 40"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 165 - 178"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 178 from 165: 165 - 178 = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 42 and common difference 13, find the 42th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 42 + (42-1)×13 = 42 + 533 = 575.\n</reasoning>\nFinal Answer: 575"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [46, 38, 89, 38, 70, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 355/6 = 59.1667.\n</reasoning>\nFinal Answer: 59.1667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 79 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 79 × 50 = 1975.0.\n</reasoning>\nFinal Answer: 1975.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -37 = -343"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 9x = -306. Divide by 9: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 50 and 165."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(50,165) = 5.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 29 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 29 = 493 worker-days. New time = 493 / 11 = 44.8182 days.\n</reasoning>\nFinal Answer: 44.8182"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 14/16 * 12/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/16) × (12/12) = (168/192) = 7/8 after simplification.\n</reasoning>\nFinal Answer: 7/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 86 and width 94."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(86+94) = 2×180 = 360.\n</reasoning>\nFinal Answer: 360"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the range of: [77, 92, 57, 74, 44, 29, 49, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 29 = 63.\n</reasoning>\nFinal Answer: 63"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 1/6 - 2/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/6 - 2/17. LCD = 102. Result = 5/102.\n</reasoning>\nFinal Answer: 5/102"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [42, 60, 78, 96, 114]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 42 and common difference 18. Next term = 114 + 18 = 132.\n</reasoning>\nFinal Answer: 132"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [15, 71, 44, 39, 46, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 307/6 = 51.1667.\n</reasoning>\nFinal Answer: 51.1667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 386 mod -38"
},
{
"role": "assistant",
"content": "<reasoning>\n386 mod -38: 386 = -38 × -11 + -32, so remainder = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -528 mod 979"
},
{
"role": "assistant",
"content": "<reasoning>\n-528 mod 979: -528 = 979 × -1 + 451, so remainder = 451.\n</reasoning>\nFinal Answer: 451"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 841 km apart. Their speeds are 78 km/h and 99 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 78+99=177 km/h. Time = 841/177 = 4.7514 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 10/19 + 15/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/19 + 15/16. Common denominator = 304. Result = 445/304.\n</reasoning>\nFinal Answer: 445/304"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 867 + 289"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 867 and 289: 867 + 289 = 1156.\n</reasoning>\nFinal Answer: 1156"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [6, 8, 10, 12, 13, 15, 18] and B = [1, 9, 10, 13, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [6, 8, 12, 15, 18].\n</reasoning>\nFinal Answer: [6, 8, 12, 15, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "What is 15% of 730?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 730 = (15/100) × 730 = 109.5.\n</reasoning>\nFinal Answer: 109.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 10/1 + 7/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/1 + 7/17. Common denominator = 17. Result = 177/17.\n</reasoning>\nFinal Answer: 177/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 746 km apart. Their speeds are 82 km/h and 70 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 82+70=152 km/h. Time = 746/152 = 4.9079 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 6, 8, 10, 15, 18] and B = [1, 6, 8, 9, 14, 15], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 10, 18].\n</reasoning>\nFinal Answer: [4, 10, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "A train travels at 55 km/h. How far does it travel in 9 hours and 25 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 25/60 = 9.4167 hours. Distance = speed × time = 55 × 9.4167 = 517.9167 km.\n</reasoning>\nFinal Answer: 517.9167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹1355. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1355 × 12/100 = 162.6. Total = 1355 + 162.6 = 1517.6.\n</reasoning>\nFinal Answer: 1517.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹22025 at 10% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 22025 × 10 × 7 / 100 = 15417.5.\n</reasoning>\nFinal Answer: 15417.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 * 43 + 6 * 38"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 7×43=301 and 6×38=228, then add: 529.\n</reasoning>\nFinal Answer: 529"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [20, 10, 93, 21, 59, 78, 61, 41, 28, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {20: 1, 10: 1, 93: 1, 21: 1, 59: 1, 78: 1, 61: 1, 41: 1, 28: 1, 74: 1}. Most frequent: [20, 10, 93, 21, 59, 78, 61, 41, 28, 74].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 34 = -506"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 15x = -540. Divide by 15: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [49, 2, 18, 2, 63, 59, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 63 - 2 = 61.\n</reasoning>\nFinal Answer: 61"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:29 and A = 32, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/29, so B = A × (29/8) = 32 × 29/8 = 116.0.\n</reasoning>\nFinal Answer: 116.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 93 km/h. How far does it travel in 3 hours and 49 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 49/60 = 3.8167 hours. Distance = speed × time = 93 × 3.8167 = 354.95 km.\n</reasoning>\nFinal Answer: 354.95"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -32 = -68"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 1x = -36. Divide by 1: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -499 × 471"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -499 by 471: -499 × 471 = -235029.\n</reasoning>\nFinal Answer: -235029"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 246 mod -88"
},
{
"role": "assistant",
"content": "<reasoning>\n246 mod -88: 246 = -88 × -3 + -18, so remainder = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -243 mod -5"
},
{
"role": "assistant",
"content": "<reasoning>\n-243 mod -5: -243 = -5 × 48 + -3, so remainder = -3.\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 15% of 445?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 445 = (15/100) × 445 = 66.75.\n</reasoning>\nFinal Answer: 66.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 23 = 95"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 24x = 72. Divide by 24: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 194 + 620"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 194 and 620: 194 + 620 = 814.\n</reasoning>\nFinal Answer: 814"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 23 = 268"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 7x = 245. Divide by 7: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 440 + 770"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 440 and 770: 440 + 770 = 1210.\n</reasoning>\nFinal Answer: 1210"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 446 + 829"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 446 and 829: 446 + 829 = 1275.\n</reasoning>\nFinal Answer: 1275"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [94, 94, 30, 7, 20, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {94: 2, 30: 1, 7: 1, 20: 1, 95: 1}. Most frequent: 94.\n</reasoning>\nFinal Answer: 94"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (15 + 27) * (2 - 2)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (15+27)=42, (2-2)=0, then 42×0=0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 0 = 330"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 10x = 330. Divide by 10: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -593 mod -958"
},
{
"role": "assistant",
"content": "<reasoning>\n-593 mod -958: -593 = -958 × 0 + -593, so remainder = -593.\n</reasoning>\nFinal Answer: -593"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 12 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 12 = 144 worker-days. New time = 144 / 8 = 18.0 days.\n</reasoning>\nFinal Answer: 18.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 903 + 207"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 903 and 207: 903 + 207 = 1110.\n</reasoning>\nFinal Answer: 1110"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 105 and 44."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(105,44) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 31 = 581"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 11x = 550. Divide by 11: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [70, 56, 63, 73, 80, 27, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [27, 28, 56, 63, 70, 73, 80]. Middle value(s) → median = 63.\n</reasoning>\nFinal Answer: 63"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "What is 75% of 409?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 409 = (75/100) × 409 = 306.75.\n</reasoning>\nFinal Answer: 306.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 11, 12, 14, 15, 17, 18] and B = [2, 7, 10, 15], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 3, 11, 12, 14, 17, 18].\n</reasoning>\nFinal Answer: [1, 3, 11, 12, 14, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 41 * 35 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 41×35=1435, then 32+1435-39=1428.\n</reasoning>\nFinal Answer: 1428"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 29 = -271"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 10x = -300. Divide by 10: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
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