messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the prime factorization of 416."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 416 by smallest primes repeatedly: 416 = 2 × 2 × 2 × 2 × 2 × 13.\n</reasoning>\nFinal Answer: 2 × 2 × 2 × 2 × 2 × 13"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 553 km apart. Their speeds are 96 km/h and 52 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 96+52=148 km/h. Time = 553/148 = 3.7365 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 5, 23, and 27."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 5 + 23 + 27 = 55.\n</reasoning>\nFinal Answer: 55"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -100 ÷ -283"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -100 by -283. -100 ÷ -283 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 9 = 121"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 14x = 112. Divide by 14: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 8/11 - 7/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/11 - 7/3. LCD = 33. Result = -53/33.\n</reasoning>\nFinal Answer: -53/33"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:41 and A = 89, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/41, so B = A × (41/6) = 89 × 41/6 = 608.1667.\n</reasoning>\nFinal Answer: 608.1667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 33 * 50 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 33×50=1650, then 16+1650-34=1632.\n</reasoning>\nFinal Answer: 1632"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "14 workers can complete a job in 16 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 14 × 16 = 224 worker-days. New time = 224 / 6 = 37.3333 days.\n</reasoning>\nFinal Answer: 37.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 39 and width 27."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(39+27) = 2×66 = 132.\n</reasoning>\nFinal Answer: 132"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 3/8 / 19/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/8) ÷ (19/10) = (3/8) × (10/19) = 15/76.\n</reasoning>\nFinal Answer: 15/76"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 195 km/h. How far does it travel in 2 hours and 35 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 35/60 = 2.5833 hours. Distance = speed × time = 195 × 2.5833 = 503.75 km.\n</reasoning>\nFinal Answer: 503.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -146 mod -423"
},
{
"role": "assistant",
"content": "<reasoning>\n-146 mod -423: -146 = -423 × 0 + -146, so remainder = -146.\n</reasoning>\nFinal Answer: -146"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -41 = 13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 3x = 54. Divide by 3: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 914 mod 358"
},
{
"role": "assistant",
"content": "<reasoning>\n914 mod 358: 914 = 358 × 2 + 198, so remainder = 198.\n</reasoning>\nFinal Answer: 198"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 66 ÷ -982"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 66 by -982. 66 ÷ -982 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 243 × 331"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 243 by 331: 243 × 331 = 80433.\n</reasoning>\nFinal Answer: 80433"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 975 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 975 × (1 - 80/100) = 975 × 0.19999999999999996 = 195.0.\n</reasoning>\nFinal Answer: 195.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -7 = 770"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 21x = 777. Divide by 21: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 39:27 and A = 69, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 39/27, so B = A × (27/39) = 69 × 27/39 = 47.7692.\n</reasoning>\nFinal Answer: 47.7692"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [26, 16, 80, 100, 20, 77, 71, 56, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {26: 1, 16: 1, 80: 1, 100: 1, 20: 1, 77: 1, 71: 1, 56: 1, 91: 1}. Most frequent: [26, 16, 80, 100, 20, 77, 71, 56, 91].\n</reasoning>\nFina... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 12 = 539"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 17x = 527. Divide by 17: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [31, 44, 7, 83, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 16, 31, 44, 83]. Middle value(s) → median = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the range of: [70, 53, 54, 28, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 70 - 28 = 42.\n</reasoning>\nFinal Answer: 42"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 11 and height 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 11 × 38 = 418.\n</reasoning>\nFinal Answer: 418"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -26 + 279"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -26 and 279: -26 + 279 = 253.\n</reasoning>\nFinal Answer: 253"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 2 * 34 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 2×34=68, then 17+68-48=37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 10 and common difference 1, find the 45th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 10 + (45-1)×1 = 10 + 44 = 54.\n</reasoning>\nFinal Answer: 54"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -23 = -166"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 13x = -143. Divide by 13: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 12% of 711?"
},
{
"role": "assistant",
"content": "<reasoning>\n12% of 711 = (12/100) × 711 = 85.32.\n</reasoning>\nFinal Answer: 85.32"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 897 mod 821"
},
{
"role": "assistant",
"content": "<reasoning>\n897 mod 821: 897 = 821 × 1 + 76, so remainder = 76.\n</reasoning>\nFinal Answer: 76"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 25% of 530?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 530 = (25/100) × 530 = 132.5.\n</reasoning>\nFinal Answer: 132.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 1 and height 95."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 1 × 95 = 47.5.\n</reasoning>\nFinal Answer: 47.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 82 km/h. How far does it travel in 2 hours and 10 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 10/60 = 2.1667 hours. Distance = speed × time = 82 × 2.1667 = 177.6667 km.\n</reasoning>\nFinal Answer: 177.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [68, 26, 43, 28, 15, 75, 47, 89, 8, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {68: 1, 26: 1, 43: 1, 28: 2, 15: 1, 75: 1, 47: 1, 89: 1, 8: 1}. Most frequent: 28.\n</reasoning>\nFinal Answer: 28"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "A train travels at 117 km/h. How far does it travel in 12 hours and 36 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 36/60 = 12.6000 hours. Distance = speed × time = 117 × 12.6000 = 1474.2 km.\n</reasoning>\nFinal Answer: 1474.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:21 and A = 26, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/21, so B = A × (21/25) = 26 × 21/25 = 21.84.\n</reasoning>\nFinal Answer: 21.84"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (16)x + (-240) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 16² - 4×4×-240 = 4096. √discriminant = 64. x = (-(16) ± 64) / (2×4). Solutions: x = 6 or x = -10.\n</reasoning>\nFinal Answer: x = 6 or x = -1... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "190 is what percentage of 608?"
},
{
"role": "assistant",
"content": "<reasoning>\n(190/608) × 100 = 31.25%.\n</reasoning>\nFinal Answer: 31.25%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:16 and A = 85, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/16, so B = A × (16/38) = 85 × 16/38 = 35.7895.\n</reasoning>\nFinal Answer: 35.7895"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 529 × -787"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 529 by -787: 529 × -787 = -416323.\n</reasoning>\nFinal Answer: -416323"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 8 and height 57."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 8 × 57 = 456.\n</reasoning>\nFinal Answer: 456"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 267 - 418"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 418 from 267: 267 - 418 = -151.\n</reasoning>\nFinal Answer: -151"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 824 + 430"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 824 and 430: 824 + 430 = 1254.\n</reasoning>\nFinal Answer: 1254"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 22, 37, and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 22 + 37 + 40 = 99.\n</reasoning>\nFinal Answer: 99"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -958 × -857"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -958 by -857: -958 × -857 = 821006.\n</reasoning>\nFinal Answer: 821006"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:40 and A = 77, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/40, so B = A × (40/36) = 77 × 40/36 = 85.5556.\n</reasoning>\nFinal Answer: 85.5556"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 15% of 715?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 715 = (15/100) × 715 = 107.25.\n</reasoning>\nFinal Answer: 107.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 174 apples and buys 168 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 174 + 168 = 342.\n</reasoning>\nFinal Answer: 342"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -559 + -922"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -559 and -922: -559 + -922 = -1481.\n</reasoning>\nFinal Answer: -1481"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 8/3 / 19/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/3) ÷ (19/11) = (8/3) × (11/19) = 88/57.\n</reasoning>\nFinal Answer: 88/57"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 23 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 23 = 391 worker-days. New time = 391 / 16 = 24.4375 days.\n</reasoning>\nFinal Answer: 24.4375"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 45, 27 and height 46."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (45+27) × 46 = 1656.0.\n</reasoning>\nFinal Answer: 1656.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 187 apples and buys 176 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 187 + 176 = 363.\n</reasoning>\nFinal Answer: 363"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 7 + 703"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 7 and 703: 7 + 703 = 710.\n</reasoning>\nFinal Answer: 710"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:6 and A = 7, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/6, so B = A × (6/30) = 7 × 6/30 = 1.4.\n</reasoning>\nFinal Answer: 1.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 63 and width 8."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 63 × 8 = 504.\n</reasoning>\nFinal Answer: 504"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [13, 21, 97, 80, 42, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [13, 21, 33, 42, 80, 97]. Middle value(s) → median = 37.5.\n</reasoning>\nFinal Answer: 37.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 39 and common difference 10, find the 44th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 39 + (44-1)×10 = 39 + 430 = 469.\n</reasoning>\nFinal Answer: 469"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 506 × 979"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 506 by 979: 506 × 979 = 495374.\n</reasoning>\nFinal Answer: 495374"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [3, 16, 17, 19] and B = [1, 2, 4], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 3, 4, 16, 17, 19].\n</reasoning>\nFinal Answer: [1, 2, 3, 4, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mean of: [29, 10, 32, 56, 80, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 262/6 = 43.6667.\n</reasoning>\nFinal Answer: 43.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:6 and A = 53, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/6, so B = A × (6/31) = 53 × 6/31 = 10.2581.\n</reasoning>\nFinal Answer: 10.2581"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 43 and 114."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(43,114) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 40 = 55"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 1x = 15. Divide by 1: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 355 km apart. Their speeds are 89 km/h and 100 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 89+100=189 km/h. Time = 355/189 = 1.8783 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 30% of 887?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 887 = (30/100) × 887 = 266.1.\n</reasoning>\nFinal Answer: 266.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 * 40 + 34 * 50"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 23×40=920 and 34×50=1700, then add: 2620.\n</reasoning>\nFinal Answer: 2620"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 2/3 * 7/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/3) × (7/16) = (14/48) = 7/24 after simplification.\n</reasoning>\nFinal Answer: 7/24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 17/20 / 11/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/20) ÷ (11/1) = (17/20) × (1/11) = 17/220.\n</reasoning>\nFinal Answer: 17/220"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [68, 28, 32, 24, 77, 75, 60, 2, 22, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 77 - 2 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 19/1 + 11/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/1 + 11/18. Common denominator = 18. Result = 353/18.\n</reasoning>\nFinal Answer: 353/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 * 33 + 14 * 50"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 48×33=1584 and 14×50=700, then add: 2284.\n</reasoning>\nFinal Answer: 2284"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 546 + 816"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 546 and 816: 546 + 816 = 1362.\n</reasoning>\nFinal Answer: 1362"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 5, 6, 8, 10, 13, 16] and B = [3, 12, 17, 18, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 5, 6, 8, 10, 12, 13, 16, 17, 18, 19].\n</reasoning>\nFinal Answer: [1, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -131 × 191"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -131 by 191: -131 × 191 = -25021.\n</reasoning>\nFinal Answer: -25021"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 18 and width 46."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(18+46) = 2×64 = 128.\n</reasoning>\nFinal Answer: 128"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the median of: [52, 84, 26, 60, 12, 1, 90, 30, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 12, 16, 26, 30, 52, 60, 84, 90]. Middle value(s) → median = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the median of: [81, 91, 64, 53, 19, 25, 60, 79, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [19, 25, 47, 53, 60, 64, 79, 81, 91]. Middle value(s) → median = 60.\n</reasoning>\nFinal Answer: 60"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -8 = 202"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 7x = 210. Divide by 7: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 677 ÷ -8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 677 by -8. 677 ÷ -8 = -85 (integer division).\n</reasoning>\nFinal Answer: -85"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/2 / 10/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/2) ÷ (10/4) = (3/2) × (4/10) = 3/5.\n</reasoning>\nFinal Answer: 3/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 61 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 61 × (1 - 7/100) = 61 × 0.9299999999999999 = 56.73.\n</reasoning>\nFinal Answer: 56.73"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (46 + 11) * (39 - 8)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (46+11)=57, (39-8)=31, then 57×31=1767.\n</reasoning>\nFinal Answer: 1767"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (7 + 27) * (19 - 19)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (7+27)=34, (19-19)=0, then 34×0=0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 15/2 * 17/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/2) × (17/8) = (255/16) = 255/16 after simplification.\n</reasoning>\nFinal Answer: 255/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [48, 80, 20, 45, 25, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 238/6 = 39.6667.\n</reasoning>\nFinal Answer: 39.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 16, 6 and height 47."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (16+6) × 47 = 517.0.\n</reasoning>\nFinal Answer: 517.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -920 mod -941"
},
{
"role": "assistant",
"content": "<reasoning>\n-920 mod -941: -920 = -941 × 0 + -920, so remainder = -920.\n</reasoning>\nFinal Answer: -920"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 303 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 303 × (1 - 12/100) = 303 × 0.88 = 266.64.\n</reasoning>\nFinal Answer: 266.64"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 143 km/h. How far does it travel in 11 hours and 17 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 17/60 = 11.2833 hours. Distance = speed × time = 143 × 11.2833 = 1613.5167 km.\n</reasoning>\nFinal Answer: 1613.5167"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:33 and A = 13, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/33, so B = A × (33/27) = 13 × 33/27 = 15.8889.\n</reasoning>\nFinal Answer: 15.8889"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 5/10 * 16/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/10) × (16/16) = (80/160) = 1/2 after simplification.\n</reasoning>\nFinal Answer: 1/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 17/7 - 5/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/7 - 5/2. LCD = 14. Result = -1/14.\n</reasoning>\nFinal Answer: -1/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 34 = 13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 7x = -21. Divide by 7: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹10891 at 13% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 10891 × 13 × 9 / 100 = 12742.47.\n</reasoning>\nFinal Answer: 12742.47"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -594 ÷ 697"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -594 by 697. -594 ÷ 697 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:6 and A = 96, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/6, so B = A × (6/1) = 96 × 6/1 = 576.0.\n</reasoning>\nFinal Answer: 576.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 21 ** 2 - 35"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 21²=441, then 30+441-35=436.\n</reasoning>\nFinal Answer: 436"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 815 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 815 × (1 + 35/100) = 815 × 1.35 = 1100.25.\n</reasoning>\nFinal Answer: 1100.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
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