messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Given A = [1, 9, 10, 16] and B = [2, 15, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 9, 10, 15, 16, 18].\n</reasoning>\nFinal Answer: [1, 2, 9, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 24 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 24 = 456 worker-days. New time = 456 / 9 = 50.6667 days.\n</reasoning>\nFinal Answer: 50.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (7)x + (-30) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 7² - 4×1×-30 = 169. √discriminant = 13. x = (-(7) ± 13) / (2×1). Solutions: x = -10 or x = 3.\n</reasoning>\nFinal Answer: x = -10 or x = 3"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 32 = 393"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 19x = 361. Divide by 19: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [6, 93, 24, 59, 54, 47, 79, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 462/8 = 57.75.\n</reasoning>\nFinal Answer: 57.75"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 1/10 + 19/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/10 + 19/19. Common denominator = 10. Result = 11/10.\n</reasoning>\nFinal Answer: 11/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:21 and A = 15, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/21, so B = A × (21/9) = 15 × 21/9 = 35.0.\n</reasoning>\nFinal Answer: 35.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 18/19 * 3/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/19) × (3/12) = (54/228) = 9/38 after simplification.\n</reasoning>\nFinal Answer: 9/38"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -235 + 368"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -235 and 368: -235 + 368 = 133.\n</reasoning>\nFinal Answer: 133"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [5, 6, 9, 14] and B = [8, 10, 11, 12], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [5, 6, 9, 14].\n</reasoning>\nFinal Answer: [5, 6, 9, 14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 9, 13, 14, 19] and B = [1, 4, 11, 17, 18, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 4, 9, 11, 13, 14, 17, 18, 19].\n</reasoning>\nFinal Answer: [1, 2, 4, 9, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -95 mod -218"
},
{
"role": "assistant",
"content": "<reasoning>\n-95 mod -218: -95 = -218 × 0 + -95, so remainder = -95.\n</reasoning>\nFinal Answer: -95"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [58, 11, 4, 8, 35, 83, 54, 89, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {58: 1, 11: 1, 4: 1, 8: 1, 35: 1, 83: 1, 54: 1, 89: 1, 12: 1}. Most frequent: [58, 11, 4, 8, 35, 83, 54, 89, 12].\n</reasoning>\nFinal Answer:... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -475 + 429"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -475 and 429: -475 + 429 = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 993 mod 304"
},
{
"role": "assistant",
"content": "<reasoning>\n993 mod 304: 993 = 304 × 3 + 81, so remainder = 81.\n</reasoning>\nFinal Answer: 81"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "20 workers can complete a job in 15 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 20 × 15 = 300 worker-days. New time = 300 / 20 = 15.0 days.\n</reasoning>\nFinal Answer: 15.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 13 = -217"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 10x = -230. Divide by 10: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹46855 at 10% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 46855 × 10 × 4 / 100 = 18742.0.\n</reasoning>\nFinal Answer: 18742.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 12 ** 2 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 12²=144, then 37+144-48=133.\n</reasoning>\nFinal Answer: 133"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 66 km/h. How far does it travel in 12 hours and 29 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 29/60 = 12.4833 hours. Distance = speed × time = 66 × 12.4833 = 823.9 km.\n</reasoning>\nFinal Answer: 823.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 542 + -286"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 542 and -286: 542 + -286 = 256.\n</reasoning>\nFinal Answer: 256"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/13 * 9/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/13) × (9/19) = (180/247) = 180/247 after simplification.\n</reasoning>\nFinal Answer: 180/247"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 44 = 63"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 19x = 19. Divide by 19: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -10 = -527"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 11x = -517. Divide by 11: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:22 and A = 28, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/22, so B = A × (22/30) = 28 × 22/30 = 20.5333.\n</reasoning>\nFinal Answer: 20.5333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 11 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 11 = 99 worker-days. New time = 99 / 16 = 6.1875 days.\n</reasoning>\nFinal Answer: 6.1875"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 16 ** 2 - 30"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 16²=256, then 42+256-30=268.\n</reasoning>\nFinal Answer: 268"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "6 workers can complete a job in 15 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 6 × 15 = 90 worker-days. New time = 90 / 13 = 6.9231 days.\n</reasoning>\nFinal Answer: 6.9231"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:7 and A = 96, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/7, so B = A × (7/14) = 96 × 7/14 = 48.0.\n</reasoning>\nFinal Answer: 48.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -98 mod 541"
},
{
"role": "assistant",
"content": "<reasoning>\n-98 mod 541: -98 = 541 × -1 + 443, so remainder = 443.\n</reasoning>\nFinal Answer: 443"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/19 - 19/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/19 - 19/1. LCD = 19. Result = -357/19.\n</reasoning>\nFinal Answer: -357/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "14 workers can complete a job in 14 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 14 × 14 = 196 worker-days. New time = 196 / 4 = 49.0 days.\n</reasoning>\nFinal Answer: 49.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 16 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 16 × (1 + 40/100) = 16 × 1.4 = 22.4.\n</reasoning>\nFinal Answer: 22.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 350 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 350 × (1 + 15/100) = 350 × 1.15 = 402.5.\n</reasoning>\nFinal Answer: 402.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 164 apples and buys 128 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 164 + 128 = 292.\n</reasoning>\nFinal Answer: 292"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [67, 37, 51, 1, 4, 22, 26, 98, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 4, 22, 26, 37, 51, 53, 67, 98]. Middle value(s) → median = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹21743 at 9% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 21743 × 9 × 5 / 100 = 9784.35.\n</reasoning>\nFinal Answer: 9784.35"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 862 × -510"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 862 by -510: 862 × -510 = -439620.\n</reasoning>\nFinal Answer: -439620"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 277 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 277 × (1 + 12/100) = 277 × 1.12 = 310.24.\n</reasoning>\nFinal Answer: 310.24"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:4 and A = 36, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/4, so B = A × (4/35) = 36 × 4/35 = 4.1143.\n</reasoning>\nFinal Answer: 4.1143"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 14/15 / 20/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/15) ÷ (20/14) = (14/15) × (14/20) = 49/75.\n</reasoning>\nFinal Answer: 49/75"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 5, 8, 9, 16] and B = [7, 15, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 4, 5, 7, 8, 9, 15, 16, 19].\n</reasoning>\nFinal Answer: [2, 4, 5, 7, 8, 9, 15, 16, 19]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 32 = 440"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 24x = 408. Divide by 24: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 24 ** 2 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 24²=576, then 27+576-43=560.\n</reasoning>\nFinal Answer: 560"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -40 = -62"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 22x = -22. Divide by 22: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 133 and 48."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(133,48) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 93 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 93 × 37 = 1720.5.\n</reasoning>\nFinal Answer: 1720.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 17 = 395"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 9x = 378. Divide by 9: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 836 × -487"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 836 by -487: 836 × -487 = -407132.\n</reasoning>\nFinal Answer: -407132"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 68 apples and buys 149 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 68 + 149 = 217.\n</reasoning>\nFinal Answer: 217"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 428 mod -700"
},
{
"role": "assistant",
"content": "<reasoning>\n428 mod -700: 428 = -700 × -1 + -272, so remainder = -272.\n</reasoning>\nFinal Answer: -272"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 7, 9, 11, 12, 15] and B = [3, 9, 12, 14, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 3, 5, 7, 11, 14, 15, 19].\n</reasoning>\nFinal... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹12826 at 4% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 12826 × 4 × 5 / 100 = 2565.2.\n</reasoning>\nFinal Answer: 2565.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 73 and 134."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(73,134) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 9 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 9 = 63 worker-days. New time = 63 / 19 = 3.3158 days.\n</reasoning>\nFinal Answer: 3.3158"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [14, 79, 32, 9, 73, 46, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {14: 1, 79: 1, 32: 1, 9: 1, 73: 1, 46: 1, 85: 1}. Most frequent: [14, 79, 32, 9, 73, 46, 85].\n</reasoning>\nFinal Answer: [14, 79, 32, 9, 73, 46, 85... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 424 - 286"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 286 from 424: 424 - 286 = 138.\n</reasoning>\nFinal Answer: 138"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/12 * 12/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/12) × (12/16) = (204/192) = 17/16 after simplification.\n</reasoning>\nFinal Answer: 17/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 25 = -70"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 19x = -95. Divide by 19: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -48 = 1030"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 22x = 1078. Divide by 22: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 * 4 + 29 * 16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 24×4=96 and 29×16=464, then add: 560.\n</reasoning>\nFinal Answer: 560"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 9/6 + 15/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/6 + 15/3. Common denominator = 2. Result = 13/2.\n</reasoning>\nFinal Answer: 13/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 * 49 + 47 * 17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 46×49=2254 and 47×17=799, then add: 3053.\n</reasoning>\nFinal Answer: 3053"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 54 and width 51."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 54 × 51 = 2754.\n</reasoning>\nFinal Answer: 2754"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:36 and A = 18, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/36, so B = A × (36/13) = 18 × 36/13 = 49.8462.\n</reasoning>\nFinal Answer: 49.8462"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -38 = 684"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 19x = 722. Divide by 19: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 44 and width 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 44 × 21 = 924.\n</reasoning>\nFinal Answer: 924"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 60% of 65?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 65 = (60/100) × 65 = 39.0.\n</reasoning>\nFinal Answer: 39.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 32 = 626"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 22x = 594. Divide by 22: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 8/1 - 3/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/1 - 3/15. LCD = 5. Result = 39/5.\n</reasoning>\nFinal Answer: 39/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [6, 9, 10, 13, 14] and B = [11, 13, 16, 17, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [13].\n</reasoning>\nFinal Answer: [13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 44 = 695"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 21x = 651. Divide by 21: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 7 - -441"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -441 from 7: 7 - -441 = 448.\n</reasoning>\nFinal Answer: 448"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:13 and A = 98, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/13, so B = A × (13/49) = 98 × 13/49 = 26.0.\n</reasoning>\nFinal Answer: 26.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -14 = -356"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 9x = -342. Divide by 9: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 * 6 + 43 * 34"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 25×6=150 and 43×34=1462, then add: 1612.\n</reasoning>\nFinal Answer: 1612"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 28, 4 and height 19."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (28+4) × 19 = 304.0.\n</reasoning>\nFinal Answer: 304.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 81 and 137."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(81,137) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:36 and A = 61, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/36, so B = A × (36/23) = 61 × 36/23 = 95.4783.\n</reasoning>\nFinal Answer: 95.4783"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [2, 6, 8, 9, 19] and B = [1, 3, 7, 11, 12, 15, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 3, 6, 7, 8, 9, 11, 12, 15].\n</reasoning>\nF... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 18/2 * 10/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/2) × (10/17) = (180/34) = 90/17 after simplification.\n</reasoning>\nFinal Answer: 90/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -881 + 599"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -881 and 599: -881 + 599 = -282.\n</reasoning>\nFinal Answer: -282"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [37, 33, 11, 6, 52, 10, 8, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {37: 1, 33: 1, 11: 1, 6: 1, 52: 1, 10: 1, 8: 1, 59: 1}. Most frequent: [37, 33, 11, 6, 52, 10, 8, 59].\n</reasoning>\nFinal Answer: [37, 33, 11, 6... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 3/20 / 2/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/20) ÷ (2/8) = (3/20) × (8/2) = 3/5.\n</reasoning>\nFinal Answer: 3/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 + 44 * 11 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 44×11=484, then 4+484-33=455.\n</reasoning>\nFinal Answer: 455"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 9, 15, 16] and B = [7, 11, 12, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 7, 9, 11, 12, 15, 16, 17].\n</reasoning>\nFinal Answer: [1,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 53 + -185"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 53 and -185: 53 + -185 = -132.\n</reasoning>\nFinal Answer: -132"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 24 ** 2 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 24²=576, then 25+576-6=595.\n</reasoning>\nFinal Answer: 595"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -3 = -78"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 15x = -75. Divide by 15: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 516 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 516 × (1 - 45/100) = 516 × 0.55 = 283.8.\n</reasoning>\nFinal Answer: 283.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 17/17 * 10/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/17) × (10/4) = (170/68) = 5/2 after simplification.\n</reasoning>\nFinal Answer: 5/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 179 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 179 × (1 - 30/100) = 179 × 0.7 = 125.3.\n</reasoning>\nFinal Answer: 125.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 10] and B = [1, 5, 7], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [3, 10].\n</reasoning>\nFinal Answer: [3, 10]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:42 and A = 22, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/42, so B = A × (42/3) = 22 × 42/3 = 308.0.\n</reasoning>\nFinal Answer: 308.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 19/3 + 8/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/3 + 8/15. Common denominator = 15. Result = 103/15.\n</reasoning>\nFinal Answer: 103/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 19/11 * 17/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/11) × (17/3) = (323/33) = 323/33 after simplification.\n</reasoning>\nFinal Answer: 323/33"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 119 km apart. Their speeds are 87 km/h and 111 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 87+111=198 km/h. Time = 119/198 = 0.601 hours.\n</reasoning>\nFinal Answe... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹4668. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4668 × 18/100 = 840.24. Total = 4668 + 840.24 = 5508.24.\n</reasoning>\nFinal Answer: 5508.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 25 and width 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 25 × 2 = 50.\n</reasoning>\nFinal Answer: 50"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "2 workers can complete a job in 11 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 2 × 11 = 22 worker-days. New time = 22 / 9 = 2.4444 days.\n</reasoning>\nFinal Answer: 2.4444"
}
] | medium | [
"word_problem",
"applied_math"
] |
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