messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 19/13 / 6/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/13) ÷ (6/2) = (19/13) × (2/6) = 19/39.\n</reasoning>\nFinal Answer: 19/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -696 - -302"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -302 from -696: -696 - -302 = -394.\n</reasoning>\nFinal Answer: -394"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 912 - -675"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -675 from 912: 912 - -675 = 1587.\n</reasoning>\nFinal Answer: 1587"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 84 and width 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 84 × 26 = 2184.\n</reasoning>\nFinal Answer: 2184"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 7/19 - 1/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/19 - 1/2. LCD = 38. Result = -5/38.\n</reasoning>\nFinal Answer: -5/38"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 524 ÷ -157"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 524 by -157. 524 ÷ -157 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/1 + 19/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/1 + 19/1. Common denominator = 1. Result = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate: 7^3"
},
{
"role": "assistant",
"content": "<reasoning>\n7^3 = 7 × 7 × 7 = 343.\n</reasoning>\nFinal Answer: 343"
}
] | easy | [
"exponents"
] |
[
{
"role": "user",
"content": "Find the range of: [51, 59, 44, 17, 63, 46, 83, 96, 63, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 17 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -40 = 453"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 17x = 493. Divide by 17: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 374 km apart. Their speeds are 42 km/h and 108 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 42+108=150 km/h. Time = 374/150 = 2.4933 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 11/17 - 5/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/17 - 5/5. LCD = 17. Result = -6/17.\n</reasoning>\nFinal Answer: -6/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹1326. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1326 × 18/100 = 238.68. Total = 1326 + 238.68 = 1564.68.\n</reasoning>\nFinal Answer: 1564.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -49 = 791"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 30x = 840. Divide by 30: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 45, 41 and height 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (45+41) × 26 = 1118.0.\n</reasoning>\nFinal Answer: 1118.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -921 × -66"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -921 by -66: -921 × -66 = 60786.\n</reasoning>\nFinal Answer: 60786"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [41, 26, 65, 88, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 283/5 = 56.6.\n</reasoning>\nFinal Answer: 56.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -149 × 488"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -149 by 488: -149 × 488 = -72712.\n</reasoning>\nFinal Answer: -72712"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 100 and 128."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(100,128) = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 26 and width 90."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 26 × 90 = 2340.\n</reasoning>\nFinal Answer: 2340"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "4 workers can complete a job in 10 days. How many days will 12 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 4 × 10 = 40 worker-days. New time = 40 / 12 = 3.3333 days.\n</reasoning>\nFinal Answer: 3.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [54, 10, 79, 75, 14, 66, 90, 76, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 90 - 10 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 11 and width 57."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 11 × 57 = 627.\n</reasoning>\nFinal Answer: 627"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [18, 13, 28, 87, 74, 37, 4, 1, 56, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 409/10 = 40.9.\n</reasoning>\nFinal Answer: 40.9"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 22 and common difference 19, find the 37th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 22 + (37-1)×19 = 22 + 684 = 706.\n</reasoning>\nFinal Answer: 706"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 13] and B = [10, 13, 17, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 5].\n</reasoning>\nFinal Answer: [1, 5]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 29 * 38 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 29×38=1102, then 25+1102-42=1085.\n</reasoning>\nFinal Answer: 1085"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [13, 22, 46, 72, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 72 - 10 = 62.\n</reasoning>\nFinal Answer: 62"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "What is 100% of 147?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 147 = (100/100) × 147 = 147.0.\n</reasoning>\nFinal Answer: 147.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 10 and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (10×38)/2 = 190.\n</reasoning>\nFinal Answer: 190"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:50 and A = 62, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/50, so B = A × (50/18) = 62 × 50/18 = 172.2222.\n</reasoning>\nFinal Answer: 172.2222"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 117 km/h. How far does it travel in 12 hours and 19 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 19/60 = 12.3167 hours. Distance = speed × time = 117 × 12.3167 = 1441.05 km.\n</reasoning>\nFinal Answer: 1441.05"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 + 50 ** 2 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 50²=2500, then 34+2500-44=2490.\n</reasoning>\nFinal Answer: 2490"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 113 km/h. How far does it travel in 8 hours and 53 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 53/60 = 8.8833 hours. Distance = speed × time = 113 × 8.8833 = 1003.8167 km.\n</reasoning>\nFinal Answer: 1003.8167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 + 33 ** 2 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 33²=1089, then 24+1089-6=1107.\n</reasoning>\nFinal Answer: 1107"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹29056 at 1% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 29056 × 1 × 7 / 100 = 2033.92.\n</reasoning>\nFinal Answer: 2033.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 88 and height 95."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 88 × 95 = 4180.0.\n</reasoning>\nFinal Answer: 4180.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 28 = 1068"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 26x = 1040. Divide by 26: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 489 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 489 × (1 - 100/100) = 489 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 432 + 161"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 432 and 161: 432 + 161 = 593.\n</reasoning>\nFinal Answer: 593"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 288 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 288 × (1 - 70/100) = 288 × 0.30000000000000004 = 86.4.\n</reasoning>\nFinal Answer: 86.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -49 = -157"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 18x = -108. Divide by 18: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 19 and common difference 19, find the 42th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 19 + (42-1)×19 = 19 + 779 = 798.\n</reasoning>\nFinal Answer: 798"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:5 and A = 42, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/5, so B = A × (5/18) = 42 × 5/18 = 11.6667.\n</reasoning>\nFinal Answer: 11.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 * 49 + 23 * 14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 41×49=2009 and 23×14=322, then add: 2331.\n</reasoning>\nFinal Answer: 2331"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (6 + 31) * (18 - 46)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (6+31)=37, (18-46)=-28, then 37×-28=-1036.\n</reasoning>\nFinal Answer: -1036"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 27, 32 and height 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (27+32) × 35 = 1032.5.\n</reasoning>\nFinal Answer: 1032.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -287 + -956"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -287 and -956: -287 + -956 = -1243.\n</reasoning>\nFinal Answer: -1243"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 556 × 63"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 556 by 63: 556 × 63 = 35028.\n</reasoning>\nFinal Answer: 35028"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 + 22 ** 2 - 49"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 22²=484, then 20+484-49=455.\n</reasoning>\nFinal Answer: 455"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 40% of 55?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 55 = (40/100) × 55 = 22.0.\n</reasoning>\nFinal Answer: 22.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:48 and A = 50, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/48, so B = A × (48/14) = 50 × 48/14 = 171.4286.\n</reasoning>\nFinal Answer: 171.4286"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -205 mod 924"
},
{
"role": "assistant",
"content": "<reasoning>\n-205 mod 924: -205 = 924 × -1 + 719, so remainder = 719.\n</reasoning>\nFinal Answer: 719"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 32 ** 2 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 32²=1024, then 12+1024-40=996.\n</reasoning>\nFinal Answer: 996"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [78, 47, 2, 31, 41, 1, 38, 66, 70, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 80 - 1 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:29 and A = 84, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/29, so B = A × (29/40) = 84 × 29/40 = 60.9.\n</reasoning>\nFinal Answer: 60.9"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [53, 34, 61, 50, 10, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {53: 1, 34: 1, 61: 1, 50: 1, 10: 1, 98: 1}. Most frequent: [53, 34, 61, 50, 10, 98].\n</reasoning>\nFinal Answer: [53, 34, 61, 50, 10, 98]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 22 and height 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 22 × 27 = 297.0.\n</reasoning>\nFinal Answer: 297.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 3% of 967?"
},
{
"role": "assistant",
"content": "<reasoning>\n3% of 967 = (3/100) × 967 = 29.01.\n</reasoning>\nFinal Answer: 29.01"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 43 * 33 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 43×33=1419, then 41+1419-33=1427.\n</reasoning>\nFinal Answer: 1427"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 936 × 9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 936 by 9: 936 × 9 = 8424.\n</reasoning>\nFinal Answer: 8424"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (35 + 45) * (23 - 17)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (35+45)=80, (23-17)=6, then 80×6=480.\n</reasoning>\nFinal Answer: 480"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 16 = 316"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 20x = 300. Divide by 20: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹355. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 355 × 12/100 = 42.6. Total = 355 + 42.6 = 397.6.\n</reasoning>\nFinal Answer: 397.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 966 + 770"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 966 and 770: 966 + 770 = 1736.\n</reasoning>\nFinal Answer: 1736"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 28 and common difference 15, find the 47th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 28 + (47-1)×15 = 28 + 690 = 718.\n</reasoning>\nFinal Answer: 718"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 992 + -524"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 992 and -524: 992 + -524 = 468.\n</reasoning>\nFinal Answer: 468"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹652. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 652 × 28/100 = 182.56. Total = 652 + 182.56 = 834.56.\n</reasoning>\nFinal Answer: 834.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 30% of 697?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 697 = (30/100) × 697 = 209.1.\n</reasoning>\nFinal Answer: 209.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (13)x + (30) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 13² - 4×1×30 = 49. √discriminant = 7. x = (-(13) ± 7) / (2×1). Solutions: x = -10 or x = -3.\n</reasoning>\nFinal Answer: x = -10 or x = -3"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 23 = -237"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 20x = -260. Divide by 20: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 12 and 59."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(12,59) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:36 and A = 28, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/36, so B = A × (36/48) = 28 × 36/48 = 21.0.\n</reasoning>\nFinal Answer: 21.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 21 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 21 = 210 worker-days. New time = 210 / 11 = 19.0909 days.\n</reasoning>\nFinal Answer: 19.0909"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 11."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 11 = 44.\n</reasoning>\nFinal Answer: 44"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 461 + 417"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 461 and 417: 461 + 417 = 878.\n</reasoning>\nFinal Answer: 878"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 11/4 + 1/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/4 + 1/10. Common denominator = 20. Result = 57/20.\n</reasoning>\nFinal Answer: 57/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [7, 8, 11, 13, 19] and B = [6, 11, 15], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [6, 7, 8, 13, 15, 19].\n</reasoning>\nFinal Answer: [6, 7, 8, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹12651 at 2% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 12651 × 2 × 7 / 100 = 1771.14.\n</reasoning>\nFinal Answer: 1771.14"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (49 + 25) * (16 - 21)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (49+25)=74, (16-21)=-5, then 74×-5=-370.\n</reasoning>\nFinal Answer: -370"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 65 + -265"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 65 and -265: 65 + -265 = -200.\n</reasoning>\nFinal Answer: -200"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -658 ÷ 595"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -658 by 595. -658 ÷ 595 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -269 ÷ 316"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -269 by 316. -269 ÷ 316 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [4, 6, 9, 12, 15, 16, 17, 19] and B = [1, 3, 9, 10, 12, 14], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 3, 4, 6, 10, 14, 15, 16, 17, 19].\n</r... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 27 = 54"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 3x = 27. Divide by 3: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [30, 15, 3, 35, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 15, 30, 35, 38]. Middle value(s) → median = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 31 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 31 × 11 = 170.5.\n</reasoning>\nFinal Answer: 170.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 22 and common difference 20, find the 12th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 22 + (12-1)×20 = 22 + 220 = 242.\n</reasoning>\nFinal Answer: 242"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 13/19 * 7/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/19) × (7/14) = (91/266) = 13/38 after simplification.\n</reasoning>\nFinal Answer: 13/38"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [53, 57, 13, 90, 2, 31, 60, 25, 78, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 13, 20, 25, 31, 53, 57, 60, 78, 90]. Middle value(s) → median = 42.0.\n</reasoning>\nFinal Answer: 42.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:28 and A = 68, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/28, so B = A × (28/6) = 68 × 28/6 = 317.3333.\n</reasoning>\nFinal Answer: 317.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 18/10 - 20/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/10 - 20/10. LCD = 5. Result = -1/5.\n</reasoning>\nFinal Answer: -1/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 7/7 - 17/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/7 - 17/7. LCD = 7. Result = -10/7.\n</reasoning>\nFinal Answer: -10/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 129 km/h. How far does it travel in 12 hours and 55 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 55/60 = 12.9167 hours. Distance = speed × time = 129 × 12.9167 = 1666.25 km.\n</reasoning>\nFinal Answer: 1666.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 * 25 + 8 * 5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 40×25=1000 and 8×5=40, then add: 1040.\n</reasoning>\nFinal Answer: 1040"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 * 17 + 39 * 48"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 45×17=765 and 39×48=1872, then add: 2637.\n</reasoning>\nFinal Answer: 2637"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 36 = -16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 4x = -52. Divide by 4: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 107 × 900"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 107 by 900: 107 × 900 = 96300.\n</reasoning>\nFinal Answer: 96300"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 18 and height 64."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 18 × 64 = 1152.\n</reasoning>\nFinal Answer: 1152"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 550 × -575"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 550 by -575: 550 × -575 = -316250.\n</reasoning>\nFinal Answer: -316250"
}
] | medium | [
"arithmetic",
"computation"
] |
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