messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 * 11 + 24 * 21"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 43×11=473 and 24×21=504, then add: 977.\n</reasoning>\nFinal Answer: 977"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 10/11 + 17/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/11 + 17/3. Common denominator = 33. Result = 217/33.\n</reasoning>\nFinal Answer: 217/33"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:24 and A = 90, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/24, so B = A × (24/24) = 90 × 24/24 = 90.0.\n</reasoning>\nFinal Answer: 90.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -140 ÷ 123"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -140 by 123. -140 ÷ 123 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 16 = 72"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 4x = 56. Divide by 4: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 92 and height 71."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 92 × 71 = 3266.0.\n</reasoning>\nFinal Answer: 3266.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 58 and height 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 58 × 36 = 2088.\n</reasoning>\nFinal Answer: 2088"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹695. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 695 × 5/100 = 34.75. Total = 695 + 34.75 = 729.75.\n</reasoning>\nFinal Answer: 729.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 90 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 90 × (1 - 15/100) = 90 × 0.85 = 76.5.\n</reasoning>\nFinal Answer: 76.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 5, 8, 11, 13, 15] and B = [2, 3, 6, 10, 12, 14, 16, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [5, 6, 8, 10, 11, 12, 13, 14, 15, 16, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 45 = -709"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 26x = -754. Divide by 26: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 15/11 + 17/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/11 + 17/18. Common denominator = 198. Result = 457/198.\n</reasoning>\nFinal Answer: 457/198"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -352 mod 163"
},
{
"role": "assistant",
"content": "<reasoning>\n-352 mod 163: -352 = 163 × -3 + 137, so remainder = 137.\n</reasoning>\nFinal Answer: 137"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:49 and A = 17, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/49, so B = A × (49/48) = 17 × 49/48 = 17.3542.\n</reasoning>\nFinal Answer: 17.3542"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 683 mod -618"
},
{
"role": "assistant",
"content": "<reasoning>\n683 mod -618: 683 = -618 × -2 + -553, so remainder = -553.\n</reasoning>\nFinal Answer: -553"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -20 = -800"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 26x = -780. Divide by 26: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 4, 26, and 27."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 4 + 26 + 27 = 57.\n</reasoning>\nFinal Answer: 57"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 21 = -66"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 3x = -87. Divide by 3: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -213 × 610"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -213 by 610: -213 × 610 = -129930.\n</reasoning>\nFinal Answer: -129930"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 46 and width 13."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(46+13) = 2×59 = 118.\n</reasoning>\nFinal Answer: 118"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -260 ÷ 23"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -260 by 23. -260 ÷ 23 = -12 (integer division).\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [18, 22, 30, 12, 33, 75, 85, 14]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 85 - 12 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 892 ÷ 380"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 892 by 380. 892 ÷ 380 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:7 and A = 65, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/7, so B = A × (7/37) = 65 × 7/37 = 12.2973.\n</reasoning>\nFinal Answer: 12.2973"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -9 = 187"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 4x = 196. Divide by 4: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:45 and A = 15, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/45, so B = A × (45/48) = 15 × 45/48 = 14.0625.\n</reasoning>\nFinal Answer: 14.0625"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 3, 6, 7, 8, 14] and B = [13, 15, 18, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 6, 7, 8, 13, 14, 15, 18, 19].\n</reasoning>\nFinal Answer: [1, 2, 3, 6, 7, 8... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 61 and width 13."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(61+13) = 2×74 = 148.\n</reasoning>\nFinal Answer: 148"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "A train travels at 61 km/h. How far does it travel in 7 hours and 47 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 47/60 = 7.7833 hours. Distance = speed × time = 61 × 7.7833 = 474.7833 km.\n</reasoning>\nFinal Answer: 474.7833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 88 and width 56."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 88 × 56 = 4928.\n</reasoning>\nFinal Answer: 4928"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 1/11 / 3/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/11) ÷ (3/4) = (1/11) × (4/3) = 4/33.\n</reasoning>\nFinal Answer: 4/33"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [59, 41, 63, 87, 56, 39, 43, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 87 - 39 = 48.\n</reasoning>\nFinal Answer: 48"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 50 and common difference 16, find the 21th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 50 + (21-1)×16 = 50 + 320 = 370.\n</reasoning>\nFinal Answer: 370"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 14 - -357"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -357 from 14: 14 - -357 = 371.\n</reasoning>\nFinal Answer: 371"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/11 - 9/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/11 - 9/9. LCD = 11. Result = -5/11.\n</reasoning>\nFinal Answer: -5/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:29 and A = 32, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/29, so B = A × (29/28) = 32 × 29/28 = 33.1429.\n</reasoning>\nFinal Answer: 33.1429"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 92 km/h. How far does it travel in 1 hours and 31 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 31/60 = 1.5167 hours. Distance = speed × time = 92 × 1.5167 = 139.5333 km.\n</reasoning>\nFinal Answer: 139.5333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -124 ÷ 759"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -124 by 759. -124 ÷ 759 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [37, 66, 17, 38, 45, 91, 57, 4, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {37: 1, 66: 1, 17: 1, 38: 1, 45: 1, 91: 1, 57: 1, 4: 1, 76: 1}. Most frequent: [37, 66, 17, 38, 45, 91, 57, 4, 76].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "An item costs ₹673. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 673 × 28/100 = 188.44. Total = 673 + 188.44 = 861.44.\n</reasoning>\nFinal Answer: 861.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "14 workers can complete a job in 29 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 14 × 29 = 406 worker-days. New time = 406 / 8 = 50.75 days.\n</reasoning>\nFinal Answer: 50.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 * 46 + 35 * 10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 8×46=368 and 35×10=350, then add: 718.\n</reasoning>\nFinal Answer: 718"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -26 = -134"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 18x = -108. Divide by 18: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -449 ÷ -378"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -449 by -378. -449 ÷ -378 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 14/6 / 18/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/6) ÷ (18/19) = (14/6) × (19/18) = 133/54.\n</reasoning>\nFinal Answer: 133/54"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [22, 67, 84, 76, 29, 49, 30, 63, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 471/9 = 52.3333.\n</reasoning>\nFinal Answer: 52.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 315 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from 315: 315 - 37 = 278.\n</reasoning>\nFinal Answer: 278"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -20 = 340"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 12x = 360. Divide by 12: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 8, 9, 10, 13, 17, 19] and B = [1, 4, 9, 16, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 4, 5, 8, 9, 10, 13, 16, 17, 18, 19].\n</reasoning>\nFinal Answer: [1, 4, 5,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹44507 at 16% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 44507 × 16 × 2 / 100 = 14242.24.\n</reasoning>\nFinal Answer: 14242.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [28, 26, 24, 75, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [24, 26, 28, 38, 75]. Middle value(s) → median = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "A train travels at 133 km/h. How far does it travel in 11 hours and 10 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 10/60 = 11.1667 hours. Distance = speed × time = 133 × 11.1667 = 1485.1667 km.\n</reasoning>\nFinal Answer: 1485.1667"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -36 = 756"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 24x = 792. Divide by 24: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 480 + -333"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 480 and -333: 480 + -333 = 147.\n</reasoning>\nFinal Answer: 147"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [67, 21, 76, 48, 73, 27, 53, 70, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {67: 1, 21: 1, 76: 1, 48: 1, 73: 1, 27: 1, 53: 1, 70: 1, 41: 1}. Most frequent: [67, 21, 76, 48, 73, 27, 53, 70, 41].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 7 = 527"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 20x = 520. Divide by 20: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 772 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 772 × (1 - 80/100) = 772 × 0.19999999999999996 = 154.4.\n</reasoning>\nFinal Answer: 154.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 200 and 78."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(200,78) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:7 and A = 24, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/7, so B = A × (7/6) = 24 × 7/6 = 28.0.\n</reasoning>\nFinal Answer: 28.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 855 km apart. Their speeds are 101 km/h and 81 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 101+81=182 km/h. Time = 855/182 = 4.6978 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 23 and common difference 2, find the 28th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 23 + (28-1)×2 = 23 + 54 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 6 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 6 = 66 worker-days. New time = 66 / 18 = 3.6667 days.\n</reasoning>\nFinal Answer: 3.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 3/15 - 4/11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/15 - 4/11. LCD = 55. Result = -9/55.\n</reasoning>\nFinal Answer: -9/55"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 210 mod 693"
},
{
"role": "assistant",
"content": "<reasoning>\n210 mod 693: 210 = 693 × 0 + 210, so remainder = 210.\n</reasoning>\nFinal Answer: 210"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 94 and width 75."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(94+75) = 2×169 = 338.\n</reasoning>\nFinal Answer: 338"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the range of: [13, 11, 54, 69, 40, 53, 69, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 77 - 11 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 15/16 * 9/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/16) × (9/5) = (135/80) = 27/16 after simplification.\n</reasoning>\nFinal Answer: 27/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 17/15 * 2/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/15) × (2/8) = (34/120) = 17/60 after simplification.\n</reasoning>\nFinal Answer: 17/60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 34, 45 and height 48."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (34+45) × 48 = 1896.0.\n</reasoning>\nFinal Answer: 1896.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 41 and common difference 16, find the 27th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 41 + (27-1)×16 = 41 + 416 = 457.\n</reasoning>\nFinal Answer: 457"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Ravi has 153 apples and buys 153 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 153 + 153 = 306.\n</reasoning>\nFinal Answer: 306"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 692 km apart. Their speeds are 116 km/h and 69 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 116+69=185 km/h. Time = 692/185 = 3.7405 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 10 = -58"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 2x = -68. Divide by 2: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [34, 60, 63, 59, 81, 31, 5, 78, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 478/9 = 53.1111.\n</reasoning>\nFinal Answer: 53.1111"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 9, 13, 18, 19] and B = [1, 9, 10, 12, 13, 15, 17, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [9, 13, 18].\n</reasoning>\nFinal Answer: [9, 13, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 435 ÷ -965"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 435 by -965. 435 ÷ -965 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹11779 at 10% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 11779 × 10 × 7 / 100 = 8245.3.\n</reasoning>\nFinal Answer: 8245.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 40 and 43."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (40×43)/1 = 1720.\n</reasoning>\nFinal Answer: 1720"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 * 21 + 9 * 11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 49×21=1029 and 9×11=99, then add: 1128.\n</reasoning>\nFinal Answer: 1128"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 8, 49 and height 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (8+49) × 24 = 684.0.\n</reasoning>\nFinal Answer: 684.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 16/18 / 10/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/18) ÷ (10/3) = (16/18) × (3/10) = 4/15.\n</reasoning>\nFinal Answer: 4/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 8, 12, 14, 17] and B = [1, 4, 6, 7, 8, 12, 15], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [4, 8, 12].\n</reasoning>\nFinal Answer: [4, 8, 12]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:49 and A = 23, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/49, so B = A × (49/47) = 23 × 49/47 = 23.9787.\n</reasoning>\nFinal Answer: 23.9787"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 13 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 13 = 143 worker-days. New time = 143 / 16 = 8.9375 days.\n</reasoning>\nFinal Answer: 8.9375"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 33 = 58"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 1x = 25. Divide by 1: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:30 and A = 76, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/30, so B = A × (30/47) = 76 × 30/47 = 48.5106.\n</reasoning>\nFinal Answer: 48.5106"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 41 * 42 - 11"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 41×42=1722, then 27+1722-11=1738.\n</reasoning>\nFinal Answer: 1738"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 576 mod -618"
},
{
"role": "assistant",
"content": "<reasoning>\n576 mod -618: 576 = -618 × -1 + -42, so remainder = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [76, 93, 77, 10, 56, 90, 70, 94, 96, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 680/10 = 68.0.\n</reasoning>\nFinal Answer: 68.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 1 * 4 - 21"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 1×4=4, then 6+4-21=-11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "169 is what percentage of 638?"
},
{
"role": "assistant",
"content": "<reasoning>\n(169/638) × 100 = 26.489%.\n</reasoning>\nFinal Answer: 26.489%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Ravi has 163 apples and buys 160 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 163 + 160 = 323.\n</reasoning>\nFinal Answer: 323"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 316 + -887"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 316 and -887: 316 + -887 = -571.\n</reasoning>\nFinal Answer: -571"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 50 and common difference 1, find the 30th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 50 + (30-1)×1 = 50 + 29 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 158 - -333"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -333 from 158: 158 - -333 = 491.\n</reasoning>\nFinal Answer: 491"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 877 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 877 × (1 + 40/100) = 877 × 1.4 = 1227.8.\n</reasoning>\nFinal Answer: 1227.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -273 mod -56"
},
{
"role": "assistant",
"content": "<reasoning>\n-273 mod -56: -273 = -56 × 4 + -49, so remainder = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 381 ÷ 47"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 381 by 47. 381 ÷ 47 = 8 (integer division).\n</reasoning>\nFinal Answer: 8"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 33 and height 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 33 × 32 = 528.0.\n</reasoning>\nFinal Answer: 528.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹38346 at 9% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 38346 × 9 × 10 / 100 = 34511.4.\n</reasoning>\nFinal Answer: 34511.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
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