messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Given A = [1, 3, 5, 7, 8, 10] and B = [10, 13, 16, 17, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 3, 5, 7, 8, 13, 16, 17, 18].\n</reasoning>\nFinal... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 229 + -659"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 229 and -659: 229 + -659 = -430.\n</reasoning>\nFinal Answer: -430"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a circle with radius 2. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nArea = π × r² = π × 2² = π × 4 ≈ 12.5664.\n</reasoning>\nFinal Answer: 12.5664"
}
] | medium | [
"geometry",
"area",
"circle"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 81 and height 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 81 × 33 = 1336.5.\n</reasoning>\nFinal Answer: 1336.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 179 km/h. How far does it travel in 10 hours and 45 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 45/60 = 10.7500 hours. Distance = speed × time = 179 × 10.7500 = 1924.25 km.\n</reasoning>\nFinal Answer: 1924.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 251 mod 146"
},
{
"role": "assistant",
"content": "<reasoning>\n251 mod 146: 251 = 146 × 1 + 105, so remainder = 105.\n</reasoning>\nFinal Answer: 105"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 28 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 28 = 196 worker-days. New time = 196 / 6 = 32.6667 days.\n</reasoning>\nFinal Answer: 32.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 91 apples and buys 54 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 91 + 54 = 145.\n</reasoning>\nFinal Answer: 145"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:7 and A = 88, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/7, so B = A × (7/13) = 88 × 7/13 = 47.3846.\n</reasoning>\nFinal Answer: 47.3846"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -44 = -100"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 8x = -56. Divide by 8: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [46, 42, 29, 22, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {46: 1, 42: 1, 29: 1, 22: 1, 62: 1}. Most frequent: [46, 42, 29, 22, 62].\n</reasoning>\nFinal Answer: [46, 42, 29, 22, 62]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 19 = 33"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 1x = 14. Divide by 1: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 200 mod 691"
},
{
"role": "assistant",
"content": "<reasoning>\n200 mod 691: 200 = 691 × 0 + 200, so remainder = 200.\n</reasoning>\nFinal Answer: 200"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [22, 12, 68, 50, 64, 37, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [12, 22, 37, 50, 64, 68, 79]. Middle value(s) → median = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [6, 10, 11, 16, 18] and B = [3, 10, 12, 15, 16, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 6, 11, 12, 15].\n</reasoning>\nFinal Answer: [... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 12/6 * 18/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/6) × (18/5) = (216/30) = 36/5 after simplification.\n</reasoning>\nFinal Answer: 36/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 38 ** 2 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 38²=1444, then 30+1444-37=1437.\n</reasoning>\nFinal Answer: 1437"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 30 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 30 × (1 + 80/100) = 30 × 1.8 = 54.0.\n</reasoning>\nFinal Answer: 54.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -515 mod 798"
},
{
"role": "assistant",
"content": "<reasoning>\n-515 mod 798: -515 = 798 × -1 + 283, so remainder = 283.\n</reasoning>\nFinal Answer: 283"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 10 = 29"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 1x = 19. Divide by 1: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 49 = 1036"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 21x = 987. Divide by 21: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -725 ÷ 389"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -725 by 389. -725 ÷ 389 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 100 km/h. How far does it travel in 2 hours and 28 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 28/60 = 2.4667 hours. Distance = speed × time = 100 × 2.4667 = 246.6667 km.\n</reasoning>\nFinal Answer: 246.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [77, 48, 33, 95, 4, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 324/6 = 54.0.\n</reasoning>\nFinal Answer: 54.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 27 and common difference 17, find the 22th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 27 + (22-1)×17 = 27 + 357 = 384.\n</reasoning>\nFinal Answer: 384"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 43 and width 10."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(43+10) = 2×53 = 106.\n</reasoning>\nFinal Answer: 106"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 + 13 ** 2 - 16"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 13²=169, then 35+169-16=188.\n</reasoning>\nFinal Answer: 188"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 73 - -572"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -572 from 73: 73 - -572 = 645.\n</reasoning>\nFinal Answer: 645"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 42 ** 2 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 42²=1764, then 21+1764-28=1757.\n</reasoning>\nFinal Answer: 1757"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -47 = -49"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 1x = -2. Divide by 1: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 18/20 * 11/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/20) × (11/9) = (198/180) = 11/10 after simplification.\n</reasoning>\nFinal Answer: 11/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 44 apples and buys 35 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 44 + 35 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -906 × -819"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -906 by -819: -906 × -819 = 742014.\n</reasoning>\nFinal Answer: 742014"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 946 × -90"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 946 by -90: 946 × -90 = -85140.\n</reasoning>\nFinal Answer: -85140"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Is 68 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n68 = 2 × 34, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Calculate: 235 ÷ -219"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 235 by -219. 235 ÷ -219 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [7, 25, 43, 61, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 7 and common difference 18. Next term = 79 + 18 = 97.\n</reasoning>\nFinal Answer: 97"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 4/13 * 14/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/13) × (14/5) = (56/65) = 56/65 after simplification.\n</reasoning>\nFinal Answer: 56/65"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 192 and 181."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(192,181) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 5/10 + 13/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/10 + 13/1. Common denominator = 2. Result = 27/2.\n</reasoning>\nFinal Answer: 27/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -260 - -296"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -296 from -260: -260 - -296 = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [45, 28, 27, 98, 34, 14, 25, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 14 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the range of: [45, 95, 45, 81, 64, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 45 = 50.\n</reasoning>\nFinal Answer: 50"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "92 is what percentage of 186?"
},
{
"role": "assistant",
"content": "<reasoning>\n(92/186) × 100 = 49.4624%.\n</reasoning>\nFinal Answer: 49.4624%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -745 ÷ 907"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -745 by 907. -745 ÷ 907 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [28, 39, 64, 58, 24, 81, 71, 26, 89, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {28: 1, 39: 1, 64: 1, 58: 1, 24: 1, 81: 1, 71: 1, 26: 1, 89: 1, 21: 1}. Most frequent: [28, 39, 64, 58, 24, 81, 71, 26, 89, 21].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "4 workers can complete a job in 30 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 4 × 30 = 120 worker-days. New time = 120 / 7 = 17.1429 days.\n</reasoning>\nFinal Answer: 17.1429"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [23, 13, 24, 77, 13, 66, 6, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 13, 13, 23, 24, 66, 77, 77]. Middle value(s) → median = 23.5.\n</reasoning>\nFinal Answer: 23.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 13, 30 and height 43."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (13+30) × 43 = 924.5.\n</reasoning>\nFinal Answer: 924.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -45 = 543"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 12x = 588. Divide by 12: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "276 is what percentage of 722?"
},
{
"role": "assistant",
"content": "<reasoning>\n(276/722) × 100 = 38.2271%.\n</reasoning>\nFinal Answer: 38.2271%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 17/20 * 5/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/20) × (5/5) = (85/100) = 17/20 after simplification.\n</reasoning>\nFinal Answer: 17/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -506 mod -389"
},
{
"role": "assistant",
"content": "<reasoning>\n-506 mod -389: -506 = -389 × 1 + -117, so remainder = -117.\n</reasoning>\nFinal Answer: -117"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [40, 37, 1, 87, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 1 = 99.\n</reasoning>\nFinal Answer: 99"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -48 = 496"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 16x = 544. Divide by 16: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 942 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 942 × (1 - 60/100) = 942 × 0.4 = 376.8.\n</reasoning>\nFinal Answer: 376.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 37 * 31 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 37×31=1147, then 44+1147-3=1188.\n</reasoning>\nFinal Answer: 1188"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 13/6 / 10/9"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/6) ÷ (10/9) = (13/6) × (9/10) = 39/20.\n</reasoning>\nFinal Answer: 39/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [62, 39, 58, 25, 1, 76, 31, 11, 20, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 406/10 = 40.6.\n</reasoning>\nFinal Answer: 40.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "548 is what percentage of 970?"
},
{
"role": "assistant",
"content": "<reasoning>\n(548/970) × 100 = 56.4948%.\n</reasoning>\nFinal Answer: 56.4948%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 19 = 1027"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 21x = 1008. Divide by 21: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 15% of 312?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 312 = (15/100) × 312 = 46.8.\n</reasoning>\nFinal Answer: 46.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 5/3 + 14/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/3 + 14/2. Common denominator = 3. Result = 26/3.\n</reasoning>\nFinal Answer: 26/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [3, 7, 11, 13, 16] and B = [6, 8, 9, 15, 16, 18, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 6, 7, 8, 9, 11, 13, 15, 18, 19].\n</reasoning... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 5/9 - 4/11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/9 - 4/11. LCD = 99. Result = 19/99.\n</reasoning>\nFinal Answer: 19/99"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 26 and height 1."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 26 × 1 = 13.0.\n</reasoning>\nFinal Answer: 13.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-3)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -3² - 4×3×0 = 9. √discriminant = 3. x = (-(-3) ± 3) / (2×3). Solutions: x = 0 or x = 1.\n</reasoning>\nFinal Answer: x = 0 or x = 1"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "206 is what percentage of 308?"
},
{
"role": "assistant",
"content": "<reasoning>\n(206/308) × 100 = 66.8831%.\n</reasoning>\nFinal Answer: 66.8831%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 + 15 ** 2 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 15²=225, then 2+225-40=187.\n</reasoning>\nFinal Answer: 187"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -628 - 483"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 483 from -628: -628 - 483 = -1111.\n</reasoning>\nFinal Answer: -1111"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -8 = -68"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 3x = -60. Divide by 3: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 127 apples and buys 172 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 127 + 172 = 299.\n</reasoning>\nFinal Answer: 299"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (39 + 16) * (31 - 22)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (39+16)=55, (31-22)=9, then 55×9=495.\n</reasoning>\nFinal Answer: 495"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:17 and A = 54, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/17, so B = A × (17/10) = 54 × 17/10 = 91.8.\n</reasoning>\nFinal Answer: 91.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -50 + -461"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -50 and -461: -50 + -461 = -511.\n</reasoning>\nFinal Answer: -511"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 34, 19 and height 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (34+19) × 7 = 185.5.\n</reasoning>\nFinal Answer: 185.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -179 - -34"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from -179: -179 - -34 = -145.\n</reasoning>\nFinal Answer: -145"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:1 and A = 71, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/1, so B = A × (1/16) = 71 × 1/16 = 4.4375.\n</reasoning>\nFinal Answer: 4.4375"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 359 km apart. Their speeds are 78 km/h and 48 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 78+48=126 km/h. Time = 359/126 = 2.8492 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 28 = 1027"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 27x = 999. Divide by 27: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 887 ÷ -23"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 887 by -23. 887 ÷ -23 = -39 (integer division).\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-15)x + (-270) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -15² - 4×5×-270 = 5625. √discriminant = 75. x = (-(-15) ± 75) / (2×5). Solutions: x = 9 or x = -6.\n</reasoning>\nFinal Answer: x = 9 or x = ... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 910 + 369"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 910 and 369: 910 + 369 = 1279.\n</reasoning>\nFinal Answer: 1279"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "4 workers can complete a job in 25 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 4 × 25 = 100 worker-days. New time = 100 / 7 = 14.2857 days.\n</reasoning>\nFinal Answer: 14.2857"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [76, 43, 28, 12, 56, 50, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 312/7 = 44.5714.\n</reasoning>\nFinal Answer: 44.5714"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹29113 at 9% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 29113 × 9 × 2 / 100 = 5240.34.\n</reasoning>\nFinal Answer: 5240.34"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [18, 18, 37, 97, 83, 84, 33, 25, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [18, 18, 25, 33, 37, 52, 83, 84, 97]. Middle value(s) → median = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 179 and 156."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(179,156) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (10)x + (-40) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 10² - 4×5×-40 = 900. √discriminant = 30. x = (-(10) ± 30) / (2×5). Solutions: x = 2 or x = -4.\n</reasoning>\nFinal Answer: x = 2 or x = -4"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 291 km apart. Their speeds are 59 km/h and 51 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 59+51=110 km/h. Time = 291/110 = 2.6455 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 80 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 80 × 2 = 160.\n</reasoning>\nFinal Answer: 160"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 978 km apart. Their speeds are 60 km/h and 51 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 60+51=111 km/h. Time = 978/111 = 8.8108 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -44 + -181"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -44 and -181: -44 + -181 = -225.\n</reasoning>\nFinal Answer: -225"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 26, 15 and height 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (26+15) × 26 = 533.0.\n</reasoning>\nFinal Answer: 533.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 3 - 891"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 891 from 3: 3 - 891 = -888.\n</reasoning>\nFinal Answer: -888"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:34 and A = 92, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/34, so B = A × (34/24) = 92 × 34/24 = 130.3333.\n</reasoning>\nFinal Answer: 130.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 134 - -752"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -752 from 134: 134 - -752 = 886.\n</reasoning>\nFinal Answer: 886"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 11 and 19."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (11×19)/1 = 209.\n</reasoning>\nFinal Answer: 209"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 19/13 / 13/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/13) ÷ (13/20) = (19/13) × (20/13) = 380/169.\n</reasoning>\nFinal Answer: 380/169"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 75% of 293?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 293 = (75/100) × 293 = 219.75.\n</reasoning>\nFinal Answer: 219.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
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