messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -962 - 860"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 860 from -962: -962 - 860 = -1822.\n</reasoning>\nFinal Answer: -1822"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 33 * 30 - 5"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 33×30=990, then 21+990-5=1006.\n</reasoning>\nFinal Answer: 1006"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 169 ÷ -475"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 169 by -475. 169 ÷ -475 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 * 33 + 3 * 48"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 21×33=693 and 3×48=144, then add: 837.\n</reasoning>\nFinal Answer: 837"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [75, 39, 65, 51, 19, 99, 43, 34, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [19, 34, 39, 43, 51, 65, 75, 81, 99]. Middle value(s) → median = 51.\n</reasoning>\nFinal Answer: 51"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 345 km apart. Their speeds are 64 km/h and 51 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 64+51=115 km/h. Time = 345/115 = 3.0 hours.\n</reasoning>\nFinal Answer: 3... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 166 × 874"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 166 by 874: 166 × 874 = 145084.\n</reasoning>\nFinal Answer: 145084"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 975 - -549"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -549 from 975: 975 - -549 = 1524.\n</reasoning>\nFinal Answer: 1524"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 183 - -986"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -986 from 183: 183 - -986 = 1169.\n</reasoning>\nFinal Answer: 1169"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 34 and common difference 19, find the 44th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 34 + (44-1)×19 = 34 + 817 = 851.\n</reasoning>\nFinal Answer: 851"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "A train travels at 190 km/h. How far does it travel in 7 hours and 41 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 41/60 = 7.6833 hours. Distance = speed × time = 190 × 7.6833 = 1459.8333 km.\n</reasoning>\nFinal Answer: 1459.8333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 65% of 232?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 232 = (65/100) × 232 = 150.8.\n</reasoning>\nFinal Answer: 150.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 86 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 86 × 13 = 1118.\n</reasoning>\nFinal Answer: 1118"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 2/17 + 11/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/17 + 11/2. Common denominator = 34. Result = 191/34.\n</reasoning>\nFinal Answer: 191/34"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 50 = 311"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 9x = 261. Divide by 9: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹1686 at 10% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 1686 × 10 × 6 / 100 = 1011.6.\n</reasoning>\nFinal Answer: 1011.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 3/3 - 19/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/3 - 19/8. LCD = 8. Result = -11/8.\n</reasoning>\nFinal Answer: -11/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 81 apples and buys 21 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 81 + 21 = 102.\n</reasoning>\nFinal Answer: 102"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 31 apples and buys 3 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 31 + 3 = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 27 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 27 = 270 worker-days. New time = 270 / 9 = 30.0 days.\n</reasoning>\nFinal Answer: 30.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 516 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 516 × (1 - 60/100) = 516 × 0.4 = 206.4.\n</reasoning>\nFinal Answer: 206.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 118 and 185."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(118,185) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 782 km apart. Their speeds are 79 km/h and 49 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 79+49=128 km/h. Time = 782/128 = 6.1094 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -625 × 145"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -625 by 145: -625 × 145 = -90625.\n</reasoning>\nFinal Answer: -90625"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 43 and 175."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(43,175) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 78 and height 53."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 78 × 53 = 2067.0.\n</reasoning>\nFinal Answer: 2067.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -813 - -172"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -172 from -813: -813 - -172 = -641.\n</reasoning>\nFinal Answer: -641"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (16 + 11) * (32 - 15)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (16+11)=27, (32-15)=17, then 27×17=459.\n</reasoning>\nFinal Answer: 459"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -852 × -153"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -852 by -153: -852 × -153 = 130356.\n</reasoning>\nFinal Answer: 130356"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:17 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/17, so B = A × (17/45) = 31 × 17/45 = 11.7111.\n</reasoning>\nFinal Answer: 11.7111"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 269 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 269 × (1 - 5/100) = 269 × 0.95 = 255.55.\n</reasoning>\nFinal Answer: 255.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 4/11 + 12/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/11 + 12/16. Common denominator = 44. Result = 49/44.\n</reasoning>\nFinal Answer: 49/44"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 7% of 133?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 133 = (7/100) × 133 = 9.31.\n</reasoning>\nFinal Answer: 9.31"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 22 = -1182"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 28x = -1204. Divide by 28: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:41 and A = 37, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/41, so B = A × (41/48) = 37 × 41/48 = 31.6042.\n</reasoning>\nFinal Answer: 31.6042"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [2, 7, 13, 19] and B = [6, 16, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [].\n</reasoning>\nFinal Answer: []"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the median of: [6, 21, 29, 94, 21, 47, 96, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 21, 21, 29, 47, 77, 94, 96]. Middle value(s) → median = 38.0.\n</reasoning>\nFinal Answer: 38.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -51 - -98"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -98 from -51: -51 - -98 = 47.\n</reasoning>\nFinal Answer: 47"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [57, 87, 43, 41, 53, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 369/6 = 61.5.\n</reasoning>\nFinal Answer: 61.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 116."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 116 by smallest primes repeatedly: 116 = 2 × 2 × 29.\n</reasoning>\nFinal Answer: 2 × 2 × 29"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Simplify: 11/10 * 20/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/10) × (20/15) = (220/150) = 22/15 after simplification.\n</reasoning>\nFinal Answer: 22/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 59 and height 70."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 59 × 70 = 2065.0.\n</reasoning>\nFinal Answer: 2065.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 1/12 / 15/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/12) ÷ (15/10) = (1/12) × (10/15) = 1/18.\n</reasoning>\nFinal Answer: 1/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 47 and common difference 7, find the 42th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 47 + (42-1)×7 = 47 + 287 = 334.\n</reasoning>\nFinal Answer: 334"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 623 - -584"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -584 from 623: 623 - -584 = 1207.\n</reasoning>\nFinal Answer: 1207"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 5 ** 2 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 5²=25, then 31+25-33=23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 12/7 + 5/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/7 + 5/7. Common denominator = 7. Result = 17/7.\n</reasoning>\nFinal Answer: 17/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [12, 80, 92, 50, 66, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 392/6 = 65.3333.\n</reasoning>\nFinal Answer: 65.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:13 and A = 96, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/13, so B = A × (13/20) = 96 × 13/20 = 62.4.\n</reasoning>\nFinal Answer: 62.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 562 + 138"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 562 and 138: 562 + 138 = 700.\n</reasoning>\nFinal Answer: 700"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 136 + -785"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 136 and -785: 136 + -785 = -649.\n</reasoning>\nFinal Answer: -649"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -36 = -442"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 29x = -406. Divide by 29: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 43 = -1182"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 25x = -1225. Divide by 25: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 5 and common difference 10, find the 32th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 5 + (32-1)×10 = 5 + 310 = 315.\n</reasoning>\nFinal Answer: 315"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -14 = -55"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 1x = -41. Divide by 1: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 135 apples and buys 44 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 135 + 44 = 179.\n</reasoning>\nFinal Answer: 179"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [69, 58, 96, 38, 17, 79, 27, 10, 45, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {69: 1, 58: 1, 96: 1, 38: 1, 17: 1, 79: 1, 27: 1, 10: 1, 45: 1, 18: 1}. Most frequent: [69, 58, 96, 38, 17, 79, 27, 10, 45, 18].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 215 ÷ 561"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 215 by 561. 215 ÷ 561 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 204 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 204 × (1 - 90/100) = 204 × 0.09999999999999998 = 20.4.\n</reasoning>\nFinal Answer: 20.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 + 24 ** 2 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 24²=576, then 50+576-38=588.\n</reasoning>\nFinal Answer: 588"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 45 and common difference 19, find the 31th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 45 + (31-1)×19 = 45 + 570 = 615.\n</reasoning>\nFinal Answer: 615"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (37 + 28) * (9 - 41)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (37+28)=65, (9-41)=-32, then 65×-32=-2080.\n</reasoning>\nFinal Answer: -2080"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [65, 13, 76, 21, 43, 21, 8, 8, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 8, 11, 13, 21, 21, 43, 65, 76]. Middle value(s) → median = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 498 km apart. Their speeds are 48 km/h and 89 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 48+89=137 km/h. Time = 498/137 = 3.635 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -8 = 1042"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 30x = 1050. Divide by 30: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 419 + 520"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 419 and 520: 419 + 520 = 939.\n</reasoning>\nFinal Answer: 939"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 39 = 117"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 3x = 78. Divide by 3: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (49 + 40) * (47 - 42)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (49+40)=89, (47-42)=5, then 89×5=445.\n</reasoning>\nFinal Answer: 445"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:31 and A = 94, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/31, so B = A × (31/45) = 94 × 31/45 = 64.7556.\n</reasoning>\nFinal Answer: 64.7556"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -42 = -1284"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 27x = -1242. Divide by 27: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 142 × -417"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 142 by -417: 142 × -417 = -59214.\n</reasoning>\nFinal Answer: -59214"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 7% of 574?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 574 = (7/100) × 574 = 40.18.\n</reasoning>\nFinal Answer: 40.18"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [30, 97, 85, 11, 82, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 11 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 29 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 29 × 45 = 652.5.\n</reasoning>\nFinal Answer: 652.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 724 km apart. Their speeds are 50 km/h and 54 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 50+54=104 km/h. Time = 724/104 = 6.9615 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 3/6 + 3/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/6 + 3/6. Common denominator = 2. Result = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 * 28 + 34 * 29"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 18×28=504 and 34×29=986, then add: 1490.\n</reasoning>\nFinal Answer: 1490"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 3, 4, 10, 19] and B = [1, 2, 5, 6, 7, 8, 13, 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": "Find the area of a parallelogram with base 73 and height 14."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 73 × 14 = 1022.\n</reasoning>\nFinal Answer: 1022"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -37 = -1087"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 25x = -1050. Divide by 25: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 625 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 625 × (1 - 90/100) = 625 × 0.09999999999999998 = 62.5.\n</reasoning>\nFinal Answer: 62.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [5, 8, 17] and B = [4, 5, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [4, 8, 17, 19].\n</reasoning>\nFinal Answer: [4, 8, 17, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 520 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 520 × (1 + 60/100) = 520 × 1.6 = 832.0.\n</reasoning>\nFinal Answer: 832.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 5, 9, 12] and B = [2, 4, 5, 7, 8, 11, 12, 14], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 4, 5, 7, 8, 9, 11, 12, 14].\n</reasoning>\nFinal Answer: [1, 2, 3, 4, 5... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [19, 88, 43, 47, 31, 21, 78, 76, 76, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 88 - 19 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 * 23 + 39 * 38"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 12×23=276 and 39×38=1482, then add: 1758.\n</reasoning>\nFinal Answer: 1758"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 * 32 + 16 * 28"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 45×32=1440 and 16×28=448, then add: 1888.\n</reasoning>\nFinal Answer: 1888"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:3 and A = 73, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/3, so B = A × (3/45) = 73 × 3/45 = 4.8667.\n</reasoning>\nFinal Answer: 4.8667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹42393 at 1% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 42393 × 1 × 4 / 100 = 1695.72.\n</reasoning>\nFinal Answer: 1695.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹1712. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1712 × 5/100 = 85.6. Total = 1712 + 85.6 = 1797.6.\n</reasoning>\nFinal Answer: 1797.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 962 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 962 × (1 + 70/100) = 962 × 1.7 = 1635.4.\n</reasoning>\nFinal Answer: 1635.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹11276 at 5% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 11276 × 5 × 1 / 100 = 563.8.\n</reasoning>\nFinal Answer: 563.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 855 + 95"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 855 and 95: 855 + 95 = 950.\n</reasoning>\nFinal Answer: 950"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 277."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 277 by smallest primes repeatedly: 277 = 277.\n</reasoning>\nFinal Answer: 277"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: -888 × -210"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -888 by -210: -888 × -210 = 186480.\n</reasoning>\nFinal Answer: 186480"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 27 * 17 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 27×17=459, then 44+459-37=466.\n</reasoning>\nFinal Answer: 466"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 10/14 * 8/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/14) × (8/5) = (80/70) = 8/7 after simplification.\n</reasoning>\nFinal Answer: 8/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 76 and width 61."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(76+61) = 2×137 = 274.\n</reasoning>\nFinal Answer: 274"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [10, 16, 22, 28, 34]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 10 and common difference 6. Next term = 34 + 6 = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 6/9 - 13/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/9 - 13/7. LCD = 21. Result = -25/21.\n</reasoning>\nFinal Answer: -25/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
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