messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the range of: [66, 72, 49, 77, 9, 23, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 77 - 9 = 68.\n</reasoning>\nFinal Answer: 68"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 2/11 * 18/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/11) × (18/15) = (36/165) = 12/55 after simplification.\n</reasoning>\nFinal Answer: 12/55"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -385 × -605"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -385 by -605: -385 × -605 = 232925.\n</reasoning>\nFinal Answer: 232925"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 33 and 42."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (33×42)/3 = 462.\n</reasoning>\nFinal Answer: 462"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -46 = 107"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 17x = 153. Divide by 17: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -19 = 77"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 12x = 96. Divide by 12: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -2 = -299"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -2 from both sides: 11x = -297. Divide by 11: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [83, 58, 1, 7, 41, 9, 15, 64, 79, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 7, 9, 15, 15, 41, 58, 64, 79, 83]. Middle value(s) → median = 28.0.\n</reasoning>\nFinal Answer: 28.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-12)x + (9) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -12² - 4×3×9 = 36. √discriminant = 6. x = (-(-12) ± 6) / (2×3). Solutions: x = 1 or x = 3.\n</reasoning>\nFinal Answer: x = 1 or x = 3"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 * 27 + 8 * 38"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 43×27=1161 and 8×38=304, then add: 1465.\n</reasoning>\nFinal Answer: 1465"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [90, 74, 100, 84, 48, 88, 63, 58, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 700/9 = 77.7778.\n</reasoning>\nFinal Answer: 77.7778"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -467 ÷ -715"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -467 by -715. -467 ÷ -715 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/16 + 7/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/16 + 7/16. Common denominator = 16. Result = 11/16.\n</reasoning>\nFinal Answer: 11/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -285 ÷ -640"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -285 by -640. -285 ÷ -640 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -245 - 250"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 250 from -245: -245 - 250 = -495.\n</reasoning>\nFinal Answer: -495"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 18 = 282"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 6x = 264. Divide by 6: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -19 = -1069"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 21x = -1050. Divide by 21: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "475 is what percentage of 540?"
},
{
"role": "assistant",
"content": "<reasoning>\n(475/540) × 100 = 87.963%.\n</reasoning>\nFinal Answer: 87.963%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (20 + 7) * (21 - 23)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (20+7)=27, (21-23)=-2, then 27×-2=-54.\n</reasoning>\nFinal Answer: -54"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -572 + 95"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -572 and 95: -572 + 95 = -477.\n</reasoning>\nFinal Answer: -477"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 92 and height 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 92 × 44 = 2024.0.\n</reasoning>\nFinal Answer: 2024.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -267 - 637"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 637 from -267: -267 - 637 = -904.\n</reasoning>\nFinal Answer: -904"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 940 ÷ -746"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 940 by -746. 940 ÷ -746 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/7 * 1/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/7) × (1/16) = (6/112) = 3/56 after simplification.\n</reasoning>\nFinal Answer: 3/56"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [27, 45, 63, 81, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 27 and common difference 18. Next term = 99 + 18 = 117.\n</reasoning>\nFinal Answer: 117"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 12/15 / 20/9"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/15) ÷ (20/9) = (12/15) × (9/20) = 9/25.\n</reasoning>\nFinal Answer: 9/25"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -284 - 624"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 624 from -284: -284 - 624 = -908.\n</reasoning>\nFinal Answer: -908"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -451 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from -451: -451 - 3 = -454.\n</reasoning>\nFinal Answer: -454"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 76 and width 43."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(76+43) = 2×119 = 238.\n</reasoning>\nFinal Answer: 238"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 76 + 63"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 76 and 63: 76 + 63 = 139.\n</reasoning>\nFinal Answer: 139"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 223 × 647"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 223 by 647: 223 × 647 = 144281.\n</reasoning>\nFinal Answer: 144281"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹3175. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3175 × 5/100 = 158.75. Total = 3175 + 158.75 = 3333.75.\n</reasoning>\nFinal Answer: 3333.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -475 - -245"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -245 from -475: -475 - -245 = -230.\n</reasoning>\nFinal Answer: -230"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 281 km apart. Their speeds are 96 km/h and 96 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 96+96=192 km/h. Time = 281/192 = 1.4635 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -441 + 141"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -441 and 141: -441 + 141 = -300.\n</reasoning>\nFinal Answer: -300"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 13 and common difference 5, find the 39th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 13 + (39-1)×5 = 13 + 190 = 203.\n</reasoning>\nFinal Answer: 203"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 24 ** 2 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 24²=576, then 29+576-40=565.\n</reasoning>\nFinal Answer: 565"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 22 = -36"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 2x = -58. Divide by 2: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [13, 53, 39, 2, 59, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {13: 1, 53: 1, 39: 1, 2: 1, 59: 1, 43: 1}. Most frequent: [13, 53, 39, 2, 59, 43].\n</reasoning>\nFinal Answer: [13, 53, 39, 2, 59, 43]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "2 workers can complete a job in 26 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 2 × 26 = 52 worker-days. New time = 52 / 8 = 6.5 days.\n</reasoning>\nFinal Answer: 6.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 1 and common difference 8, find the 26th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 1 + (26-1)×8 = 1 + 200 = 201.\n</reasoning>\nFinal Answer: 201"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -14 = 514"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 16x = 528. Divide by 16: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [6, 7, 9, 12, 13, 16, 18] and B = [2, 7, 8, 11, 12, 13, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [6, 9, 16].\n</reasoning>\nFinal Answer: [6, 9, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹39386 at 14% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 39386 × 14 × 9 / 100 = 49626.36.\n</reasoning>\nFinal Answer: 49626.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 26 - -922"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -922 from 26: 26 - -922 = 948.\n</reasoning>\nFinal Answer: 948"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 4 and common difference 8, find the 36th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 4 + (36-1)×8 = 4 + 280 = 284.\n</reasoning>\nFinal Answer: 284"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 12, 17, 19] and B = [1, 4, 6, 9, 10, 13], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [3, 12, 17, 19].\n</reasoning>\nFinal Answer: [3, 12, 17, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 4/1 + 18/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/1 + 18/1. Common denominator = 1. Result = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 283 - 864"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 864 from 283: 283 - 864 = -581.\n</reasoning>\nFinal Answer: -581"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 29 and 87."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(29,87) = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the mean of: [82, 70, 48, 17, 97, 57, 21, 92, 22, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 565/10 = 56.5.\n</reasoning>\nFinal Answer: 56.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -878 ÷ 683"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -878 by 683. -878 ÷ 683 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:45 and A = 21, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/45, so B = A × (45/42) = 21 × 45/42 = 22.5.\n</reasoning>\nFinal Answer: 22.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 9/7 / 5/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/7) ÷ (5/19) = (9/7) × (19/5) = 171/35.\n</reasoning>\nFinal Answer: 171/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 48 and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(48,36) = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 289 - -950"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -950 from 289: 289 - -950 = 1239.\n</reasoning>\nFinal Answer: 1239"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 138 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 10%: 138 × (1 - 10/100) = 138 × 0.9 = 124.2.\n</reasoning>\nFinal Answer: 124.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 16 * 49 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 16×49=784, then 6+784-46=744.\n</reasoning>\nFinal Answer: 744"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [10, 28, 92, 20, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {10: 1, 28: 1, 92: 1, 20: 1, 93: 1}. Most frequent: [10, 28, 92, 20, 93].\n</reasoning>\nFinal Answer: [10, 28, 92, 20, 93]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -146 mod 299"
},
{
"role": "assistant",
"content": "<reasoning>\n-146 mod 299: -146 = 299 × -1 + 153, so remainder = 153.\n</reasoning>\nFinal Answer: 153"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [27, 57, 47, 48, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [16, 27, 47, 48, 57]. Middle value(s) → median = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹12720 at 4% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 12720 × 4 × 10 / 100 = 5088.0.\n</reasoning>\nFinal Answer: 5088.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹18691 at 11% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 18691 × 11 × 10 / 100 = 20560.1.\n</reasoning>\nFinal Answer: 20560.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 752 ÷ 118"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 752 by 118. 752 ÷ 118 = 6 (integer division).\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -63 mod 729"
},
{
"role": "assistant",
"content": "<reasoning>\n-63 mod 729: -63 = 729 × -1 + 666, so remainder = 666.\n</reasoning>\nFinal Answer: 666"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/7 - 18/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/7 - 18/9. LCD = 7. Result = 6/7.\n</reasoning>\nFinal Answer: 6/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 15 and common difference 2, find the 37th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 15 + (37-1)×2 = 15 + 72 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 777 km apart. Their speeds are 94 km/h and 57 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 94+57=151 km/h. Time = 777/151 = 5.1457 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 * 20 + 18 * 42"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 25×20=500 and 18×42=756, then add: 1256.\n</reasoning>\nFinal Answer: 1256"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:38 and A = 94, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/38, so B = A × (38/24) = 94 × 38/24 = 148.8333.\n</reasoning>\nFinal Answer: 148.8333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:23 and A = 28, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/23, so B = A × (23/38) = 28 × 23/38 = 16.9474.\n</reasoning>\nFinal Answer: 16.9474"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 399 mod 518"
},
{
"role": "assistant",
"content": "<reasoning>\n399 mod 518: 399 = 518 × 0 + 399, so remainder = 399.\n</reasoning>\nFinal Answer: 399"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:31 and A = 76, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/31, so B = A × (31/28) = 76 × 31/28 = 84.1429.\n</reasoning>\nFinal Answer: 84.1429"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -368 × 489"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -368 by 489: -368 × 489 = -179952.\n</reasoning>\nFinal Answer: -179952"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹10553 at 2% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 10553 × 2 × 6 / 100 = 1266.36.\n</reasoning>\nFinal Answer: 1266.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 6, 15, 16, 18] and B = [3, 5, 10, 11], 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": "Increase 399 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 399 × (1 + 15/100) = 399 × 1.15 = 458.85.\n</reasoning>\nFinal Answer: 458.85"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -702 + -925"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -702 and -925: -702 + -925 = -1627.\n</reasoning>\nFinal Answer: -1627"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 6, 8, 9, 13, 14, 17, 19] and B = [1, 2, 3, 6, 8, 12, 15, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1, 6, 8].\n</reasoning>\nFinal Answer: [1, 6, 8]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "A train travels at 175 km/h. How far does it travel in 7 hours and 50 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 50/60 = 7.8333 hours. Distance = speed × time = 175 × 7.8333 = 1370.8333 km.\n</reasoning>\nFinal Answer: 1370.8333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -441 ÷ 603"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -441 by 603. -441 ÷ 603 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (2 + 8) * (4 - 14)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (2+8)=10, (4-14)=-10, then 10×-10=-100.\n</reasoning>\nFinal Answer: -100"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:40 and A = 41, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/40, so B = A × (40/9) = 41 × 40/9 = 182.2222.\n</reasoning>\nFinal Answer: 182.2222"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 24 and 173."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(24,173) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the median of: [75, 75, 49, 38, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [38, 49, 70, 75, 75]. Middle value(s) → median = 70.\n</reasoning>\nFinal Answer: 70"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -6 = -176"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 17x = -170. Divide by 17: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 15% of 116?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 116 = (15/100) × 116 = 17.4.\n</reasoning>\nFinal Answer: 17.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 7/3 / 17/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/3) ÷ (17/7) = (7/3) × (7/17) = 49/51.\n</reasoning>\nFinal Answer: 49/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 7/2 * 3/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/2) × (3/7) = (21/14) = 3/2 after simplification.\n</reasoning>\nFinal Answer: 3/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [29, 86, 31, 42, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 204/5 = 40.8.\n</reasoning>\nFinal Answer: 40.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 956 - -851"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -851 from 956: 956 - -851 = 1807.\n</reasoning>\nFinal Answer: 1807"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -821 mod -222"
},
{
"role": "assistant",
"content": "<reasoning>\n-821 mod -222: -821 = -222 × 3 + -155, so remainder = -155.\n</reasoning>\nFinal Answer: -155"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "368 is what percentage of 847?"
},
{
"role": "assistant",
"content": "<reasoning>\n(368/847) × 100 = 43.4475%.\n</reasoning>\nFinal Answer: 43.4475%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 62 and height 19."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 62 × 19 = 1178.\n</reasoning>\nFinal Answer: 1178"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 2/10 - 13/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/10 - 13/3. LCD = 15. Result = -62/15.\n</reasoning>\nFinal Answer: -62/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 377 ÷ 849"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 377 by 849. 377 ÷ 849 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 433 + 790"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 433 and 790: 433 + 790 = 1223.\n</reasoning>\nFinal Answer: 1223"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 71 and height 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 71 × 33 = 1171.5.\n</reasoning>\nFinal Answer: 1171.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -800 - -236"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -236 from -800: -800 - -236 = -564.\n</reasoning>\nFinal Answer: -564"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹759. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 759 × 12/100 = 91.08. Total = 759 + 91.08 = 850.08.\n</reasoning>\nFinal Answer: 850.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
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