messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: (27 + 33) * (37 - 38)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (27+33)=60, (37-38)=-1, then 60×-1=-60.\n</reasoning>\nFinal Answer: -60"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 126 + 753"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 126 and 753: 126 + 753 = 879.\n</reasoning>\nFinal Answer: 879"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "160 is what percentage of 800?"
},
{
"role": "assistant",
"content": "<reasoning>\n(160/800) × 100 = 20.0%.\n</reasoning>\nFinal Answer: 20.0%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 78 and height 34."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 78 × 34 = 1326.0.\n</reasoning>\nFinal Answer: 1326.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 1 ** 2 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 1²=1, then 30+1-47=-16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [52, 99, 1, 9, 33, 88, 59, 36, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 1 = 98.\n</reasoning>\nFinal Answer: 98"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "What is 90% of 71?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 71 = (90/100) × 71 = 63.9.\n</reasoning>\nFinal Answer: 63.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 82 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 82 × 50 = 4100.\n</reasoning>\nFinal Answer: 4100"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [6, 48, 80, 90, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 264/5 = 52.8.\n</reasoning>\nFinal Answer: 52.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 517 × -961"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 517 by -961: 517 × -961 = -496837.\n</reasoning>\nFinal Answer: -496837"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 * 28 + 35 * 49"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 45×28=1260 and 35×49=1715, then add: 2975.\n</reasoning>\nFinal Answer: 2975"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 9, 39, and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 9 + 39 + 40 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "What is 12% of 226?"
},
{
"role": "assistant",
"content": "<reasoning>\n12% of 226 = (12/100) × 226 = 27.12.\n</reasoning>\nFinal Answer: 27.12"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 8/13 - 8/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/13 - 8/20. LCD = 65. Result = 14/65.\n</reasoning>\nFinal Answer: 14/65"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -619 ÷ 172"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -619 by 172. -619 ÷ 172 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 123 km/h. How far does it travel in 3 hours and 33 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 33/60 = 3.5500 hours. Distance = speed × time = 123 × 3.5500 = 436.65 km.\n</reasoning>\nFinal Answer: 436.65"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 511 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 511 × (1 - 30/100) = 511 × 0.7 = 357.7.\n</reasoning>\nFinal Answer: 357.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 178 apples and buys 145 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 178 + 145 = 323.\n</reasoning>\nFinal Answer: 323"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 11 * 23 - 8"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 11×23=253, then 41+253-8=286.\n</reasoning>\nFinal Answer: 286"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:31 and A = 61, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/31, so B = A × (31/48) = 61 × 31/48 = 39.3958.\n</reasoning>\nFinal Answer: 39.3958"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [74, 57, 24, 96, 94, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 386/6 = 64.3333.\n</reasoning>\nFinal Answer: 64.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the median of: [47, 50, 5, 30, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 21, 30, 47, 50]. Middle value(s) → median = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 8/2 - 5/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/2 - 5/13. LCD = 13. Result = 47/13.\n</reasoning>\nFinal Answer: 47/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -16 = 19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 7x = 35. Divide by 7: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 212 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 212 × (1 + 90/100) = 212 × 1.9 = 402.8.\n</reasoning>\nFinal Answer: 402.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 628 km apart. Their speeds are 70 km/h and 79 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 70+79=149 km/h. Time = 628/149 = 4.2148 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -957 ÷ -291"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -957 by -291. -957 ÷ -291 = 3 (integer division).\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 36, 12 and height 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (36+12) × 10 = 240.0.\n</reasoning>\nFinal Answer: 240.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 666 mod -2"
},
{
"role": "assistant",
"content": "<reasoning>\n666 mod -2: 666 = -2 × -333 + 0, so remainder = 0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹4224. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4224 × 5/100 = 211.2. Total = 4224 + 211.2 = 4435.2.\n</reasoning>\nFinal Answer: 4435.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 473 × 989"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 473 by 989: 473 × 989 = 467797.\n</reasoning>\nFinal Answer: 467797"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 45% of 858?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 858 = (45/100) × 858 = 386.1.\n</reasoning>\nFinal Answer: 386.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 5 and width 83."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 5 × 83 = 415.\n</reasoning>\nFinal Answer: 415"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [4, 6, 16] and B = [2, 14, 15], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 4, 6, 14, 15, 16].\n</reasoning>\nFinal Answer: [2, 4, 6, 14, 15, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 289."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 289 by smallest primes repeatedly: 289 = 17 × 17.\n</reasoning>\nFinal Answer: 17 × 17"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the range of: [24, 54, 72, 85, 78, 73, 8, 29, 31, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 8 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mode of: [43, 52, 47, 68, 10, 52, 54, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {43: 1, 52: 2, 47: 1, 68: 1, 10: 1, 54: 1, 63: 1}. Most frequent: 52.\n</reasoning>\nFinal Answer: 52"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 2/2 + 16/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/2 + 16/17. Common denominator = 17. Result = 33/17.\n</reasoning>\nFinal Answer: 33/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "List all positive factors of 93."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 93: factors are [1, 3, 31, 93].\n</reasoning>\nFinal Answer: [1, 3, 31, 93]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Simplify: 4/16 + 11/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/16 + 11/17. Common denominator = 68. Result = 61/68.\n</reasoning>\nFinal Answer: 61/68"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 92 and width 85."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 92 × 85 = 7820.\n</reasoning>\nFinal Answer: 7820"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 238 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 238 × (1 - 35/100) = 238 × 0.65 = 154.7.\n</reasoning>\nFinal Answer: 154.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -36 = -108"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 18x = -72. Divide by 18: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [57, 24, 10, 47, 1, 97, 94, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 1 = 96.\n</reasoning>\nFinal Answer: 96"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:8 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/8, so B = A × (8/15) = 74 × 8/15 = 39.4667.\n</reasoning>\nFinal Answer: 39.4667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -27 = 381"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 17x = 408. Divide by 17: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -959 + -182"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -959 and -182: -959 + -182 = -1141.\n</reasoning>\nFinal Answer: -1141"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 2/18 - 18/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/18 - 18/4. LCD = 18. Result = -79/18.\n</reasoning>\nFinal Answer: -79/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 9, 17] and B = [1, 3, 7, 8, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 5, 9, 17].\n</reasoning>\nFinal Answer: [2, 5, 9, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 902 km apart. Their speeds are 108 km/h and 109 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 108+109=217 km/h. Time = 902/217 = 4.1567 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 17/4 / 9/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/4) ÷ (9/2) = (17/4) × (2/9) = 17/18.\n</reasoning>\nFinal Answer: 17/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 643 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 643 × (1 - 7/100) = 643 × 0.9299999999999999 = 597.99.\n</reasoning>\nFinal Answer: 597.99"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:20 and A = 78, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/20, so B = A × (20/25) = 78 × 20/25 = 62.4.\n</reasoning>\nFinal Answer: 62.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 10/15 + 3/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/15 + 3/11. Common denominator = 33. Result = 31/33.\n</reasoning>\nFinal Answer: 31/33"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 13 ** 2 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 13²=169, then 6+169-14=161.\n</reasoning>\nFinal Answer: 161"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -974 × -990"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -974 by -990: -974 × -990 = 964260.\n</reasoning>\nFinal Answer: 964260"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 3, 19] and B = [1, 2, 6, 9, 13, 16, 18, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1, 2, 19].\n</reasoning>\nFinal Answer: [1, 2, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 19 and common difference 3, find the 39th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 19 + (39-1)×3 = 19 + 114 = 133.\n</reasoning>\nFinal Answer: 133"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 500 ÷ 703"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 500 by 703. 500 ÷ 703 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 8 * 3 - 18"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 8×3=24, then 8+24-18=14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [12, 92, 52, 63, 46, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [12, 23, 46, 52, 63, 92]. Middle value(s) → median = 49.0.\n</reasoning>\nFinal Answer: 49.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [7, 8, 12, 14, 15, 17, 18, 19] and B = [3, 10, 13, 14, 16, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 7, 8, 10, 12, 13, 15, 16, 17, 18].\... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 9 and width 67."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(9+67) = 2×76 = 152.\n</reasoning>\nFinal Answer: 152"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 380 km apart. Their speeds are 86 km/h and 66 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 86+66=152 km/h. Time = 380/152 = 2.5 hours.\n</reasoning>\nFinal Answer: 2... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 16 = -344"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 30x = -360. Divide by 30: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 15 mod 10"
},
{
"role": "assistant",
"content": "<reasoning>\n15 mod 10: 15 = 10 × 1 + 5, so remainder = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -32 = -620"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 14x = -588. Divide by 14: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 23 = -367"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 10x = -390. Divide by 10: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 3/8 - 8/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/8 - 8/6. LCD = 24. Result = -23/24.\n</reasoning>\nFinal Answer: -23/24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -380 × -69"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -380 by -69: -380 × -69 = 26220.\n</reasoning>\nFinal Answer: 26220"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 4, 6, 11, 16, 19] and B = [8, 11, 14, 15, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 4, 6, 8, 14, 15, 16].\n</reasoning>\nFinal... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Decrease 944 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 944 × (1 - 17/100) = 944 × 0.83 = 783.52.\n</reasoning>\nFinal Answer: 783.52"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 3/2 + 16/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/2 + 16/1. Common denominator = 2. Result = 35/2.\n</reasoning>\nFinal Answer: 35/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 23 = 158"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 27x = 135. Divide by 27: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -747 + 206"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -747 and 206: -747 + 206 = -541.\n</reasoning>\nFinal Answer: -541"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [24, 86, 44, 45, 51, 25, 10, 14, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {24: 1, 86: 1, 44: 1, 45: 1, 51: 1, 25: 1, 10: 1, 14: 1, 6: 1}. Most frequent: [24, 86, 44, 45, 51, 25, 10, 14, 6].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mean of: [16, 6, 94, 74, 36]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 226/5 = 45.2.\n</reasoning>\nFinal Answer: 45.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 40 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 40 × 37 = 1480.\n</reasoning>\nFinal Answer: 1480"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 20, 23, and 24."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 20 + 23 + 24 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the range of: [14, 85, 25, 91, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 14 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 19/1 / 14/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/1) ÷ (14/17) = (19/1) × (17/14) = 323/14.\n</reasoning>\nFinal Answer: 323/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (35 + 10) * (11 - 5)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (35+10)=45, (11-5)=6, then 45×6=270.\n</reasoning>\nFinal Answer: 270"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [52, 62, 74, 42, 27, 93, 57, 65, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 27 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 9 * 47 - 50"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 9×47=423, then 13+423-50=386.\n</reasoning>\nFinal Answer: 386"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 179 km/h. How far does it travel in 2 hours and 7 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 7/60 = 2.1167 hours. Distance = speed × time = 179 × 2.1167 = 378.8833 km.\n</reasoning>\nFinal Answer: 378.8833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -20 = 1114"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 27x = 1134. Divide by 27: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 + 39 * 23 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 39×23=897, then 7+897-31=873.\n</reasoning>\nFinal Answer: 873"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 7, 11, 14, 16, 18] and B = [1, 2, 8, 10, 11, 14], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 5, 7, 8, 10, 11, 14, 16, 18].\n</reasoning>\nFinal Answer: [1, 2, 3,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "An item costs ₹1626. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1626 × 18/100 = 292.68. Total = 1626 + 292.68 = 1918.68.\n</reasoning>\nFinal Answer: 1918.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -48 = -528"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 30x = -480. Divide by 30: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 290 + 327"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 290 and 327: 290 + 327 = 617.\n</reasoning>\nFinal Answer: 617"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 501 × 446"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 501 by 446: 501 × 446 = 223446.\n</reasoning>\nFinal Answer: 223446"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 13/1 - 12/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/1 - 12/2. LCD = 1. Result = 7.\n</reasoning>\nFinal Answer: 7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 71 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 71 × (1 - 60/100) = 71 × 0.4 = 28.4.\n</reasoning>\nFinal Answer: 28.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/18 - 13/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/18 - 13/19. LCD = 342. Result = 13/342.\n</reasoning>\nFinal Answer: 13/342"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -279 × 401"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -279 by 401: -279 × 401 = -111879.\n</reasoning>\nFinal Answer: -111879"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 + 11 ** 2 - 18"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 11²=121, then 28+121-18=131.\n</reasoning>\nFinal Answer: 131"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 99 km/h. How far does it travel in 4 hours and 13 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 13/60 = 4.2167 hours. Distance = speed × time = 99 × 4.2167 = 417.45 km.\n</reasoning>\nFinal Answer: 417.45"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [6, 99, 47, 84, 45, 52, 45, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {6: 1, 99: 1, 47: 1, 84: 1, 45: 2, 52: 1, 25: 1}. Most frequent: 45.\n</reasoning>\nFinal Answer: 45"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 4 * 7 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 4×7=28, then 10+28-20=18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
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