messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the mean of: [93, 9, 66, 42, 56, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 362/6 = 60.3333.\n</reasoning>\nFinal Answer: 60.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "575 is what percentage of 857?"
},
{
"role": "assistant",
"content": "<reasoning>\n(575/857) × 100 = 67.0945%.\n</reasoning>\nFinal Answer: 67.0945%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Increase 136 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 20%: 136 × (1 + 20/100) = 136 × 1.2 = 163.2.\n</reasoning>\nFinal Answer: 163.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹41713 at 17% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 41713 × 17 × 7 / 100 = 49638.47.\n</reasoning>\nFinal Answer: 49638.47"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -28 = -644"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 14x = -616. Divide by 14: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 58 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 58 × 45 = 1305.0.\n</reasoning>\nFinal Answer: 1305.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (40 + 18) * (4 - 46)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (40+18)=58, (4-46)=-42, then 58×-42=-2436.\n</reasoning>\nFinal Answer: -2436"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 10/17 - 14/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/17 - 14/6. LCD = 51. Result = -89/51.\n</reasoning>\nFinal Answer: -89/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -9 = 1098"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 27x = 1107. Divide by 27: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 154 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 154 × (1 - 30/100) = 154 × 0.7 = 107.8.\n</reasoning>\nFinal Answer: 107.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 143 km/h. How far does it travel in 1 hours and 35 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 35/60 = 1.5833 hours. Distance = speed × time = 143 × 1.5833 = 226.4167 km.\n</reasoning>\nFinal Answer: 226.4167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (14 + 5) * (11 - 29)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (14+5)=19, (11-29)=-18, then 19×-18=-342.\n</reasoning>\nFinal Answer: -342"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 39 * 2 - 49"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 39×2=78, then 12+78-49=41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -23 = -395"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 12x = -372. Divide by 12: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 1 ** 2 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 1²=1, then 12+1-40=-27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 + 22 * 14 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 22×14=308, then 4+308-28=284.\n</reasoning>\nFinal Answer: 284"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -28 = -1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 1x = 27. Divide by 1: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 23 = 7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 1x = -16. Divide by 1: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹1537. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1537 × 28/100 = 430.36. Total = 1537 + 430.36 = 1967.36.\n</reasoning>\nFinal Answer: 1967.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -34 = 1170"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 28x = 1204. Divide by 28: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 * 50 + 8 * 30"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 12×50=600 and 8×30=240, then add: 840.\n</reasoning>\nFinal Answer: 840"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -124 ÷ 268"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -124 by 268. -124 ÷ 268 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/12 * 3/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/12) × (3/1) = (36/12) = 3 after simplification.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 20 = 317"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 27x = 297. Divide by 27: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [40, 91, 37, 79, 59, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 325/6 = 54.1667.\n</reasoning>\nFinal Answer: 54.1667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "What is 70% of 260?"
},
{
"role": "assistant",
"content": "<reasoning>\n70% of 260 = (70/100) × 260 = 182.0.\n</reasoning>\nFinal Answer: 182.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -727 + 131"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -727 and 131: -727 + 131 = -596.\n</reasoning>\nFinal Answer: -596"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹1393. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1393 × 18/100 = 250.74. Total = 1393 + 250.74 = 1643.74.\n</reasoning>\nFinal Answer: 1643.74"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 15% of 774?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 774 = (15/100) × 774 = 116.1.\n</reasoning>\nFinal Answer: 116.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:11 and A = 77, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/11, so B = A × (11/23) = 77 × 11/23 = 36.8261.\n</reasoning>\nFinal Answer: 36.8261"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -44 = -344"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 25x = -300. Divide by 25: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-10)x + (-28) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -10² - 4×2×-28 = 324. √discriminant = 18. x = (-(-10) ± 18) / (2×2). Solutions: x = -2 or x = 7.\n</reasoning>\nFinal Answer: x = -2 or x = 7"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the mode of: [76, 93, 6, 47, 27, 50, 98, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {76: 1, 93: 1, 6: 1, 47: 1, 27: 1, 50: 1, 98: 1, 63: 1}. Most frequent: [76, 93, 6, 47, 27, 50, 98, 63].\n</reasoning>\nFinal Answer: [76, 93, 6,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 40 = -16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 4x = -56. Divide by 4: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "398 is what percentage of 797?"
},
{
"role": "assistant",
"content": "<reasoning>\n(398/797) × 100 = 49.9373%.\n</reasoning>\nFinal Answer: 49.9373%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹11937 at 4% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 11937 × 4 × 1 / 100 = 477.48.\n</reasoning>\nFinal Answer: 477.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 8/17 + 11/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/17 + 11/8. Common denominator = 136. Result = 251/136.\n</reasoning>\nFinal Answer: 251/136"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 17/4 * 2/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/4) × (2/18) = (34/72) = 17/36 after simplification.\n</reasoning>\nFinal Answer: 17/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 26 = -814"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 24x = -840. Divide by 24: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 65 and height 55."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 65 × 55 = 1787.5.\n</reasoning>\nFinal Answer: 1787.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -762 - -516"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -516 from -762: -762 - -516 = -246.\n</reasoning>\nFinal Answer: -246"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 2 = -222"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 8x = -224. Divide by 8: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 164 km/h. How far does it travel in 5 hours and 29 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 29/60 = 5.4833 hours. Distance = speed × time = 164 × 5.4833 = 899.2667 km.\n</reasoning>\nFinal Answer: 899.2667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (6 + 33) * (29 - 26)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (6+33)=39, (29-26)=3, then 39×3=117.\n</reasoning>\nFinal Answer: 117"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 16/14 / 12/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/14) ÷ (12/15) = (16/14) × (15/12) = 10/7.\n</reasoning>\nFinal Answer: 10/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 645 km apart. Their speeds are 95 km/h and 51 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 95+51=146 km/h. Time = 645/146 = 4.4178 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [6, 80, 31, 35, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 31, 35, 45, 80]. Middle value(s) → median = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -40 = -210"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 17x = -170. Divide by 17: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 15 and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (15×30)/15 = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "A train travels at 86 km/h. How far does it travel in 9 hours and 14 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 14/60 = 9.2333 hours. Distance = speed × time = 86 × 9.2333 = 794.0667 km.\n</reasoning>\nFinal Answer: 794.0667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [70, 21, 25, 89, 47, 100, 73, 61, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [20, 21, 25, 47, 61, 70, 73, 89, 100]. Middle value(s) → median = 61.\n</reasoning>\nFinal Answer: 61"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the median of: [80, 54, 18, 90, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [18, 54, 80, 90, 95]. Middle value(s) → median = 80.\n</reasoning>\nFinal Answer: 80"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 36 * 40 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 36×40=1440, then 16+1440-14=1442.\n</reasoning>\nFinal Answer: 1442"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 10 and common difference 9, find the 15th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 10 + (15-1)×9 = 10 + 126 = 136.\n</reasoning>\nFinal Answer: 136"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 661 mod 604"
},
{
"role": "assistant",
"content": "<reasoning>\n661 mod 604: 661 = 604 × 1 + 57, so remainder = 57.\n</reasoning>\nFinal Answer: 57"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 10, 19] and B = [1, 2, 4, 10, 11, 15, 16], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 4, 5, 10, 11, 15, 16, 19].\n</reasoning>\nFinal Answer: [1, 2, 3, 4, 5, 10,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 382 km apart. Their speeds are 83 km/h and 103 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 83+103=186 km/h. Time = 382/186 = 2.0538 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 9 and height 62."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 9 × 62 = 279.0.\n</reasoning>\nFinal Answer: 279.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 8/6 / 13/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/6) ÷ (13/17) = (8/6) × (17/13) = 68/39.\n</reasoning>\nFinal Answer: 68/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 17/12 / 11/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/12) ÷ (11/16) = (17/12) × (16/11) = 68/33.\n</reasoning>\nFinal Answer: 68/33"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 11 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 11 = 132 worker-days. New time = 132 / 9 = 14.6667 days.\n</reasoning>\nFinal Answer: 14.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [82, 7, 2, 8, 29, 97, 28, 62, 80, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 7, 8, 28, 29, 39, 62, 80, 82, 97]. Middle value(s) → median = 34.0.\n</reasoning>\nFinal Answer: 34.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 2/14 / 12/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/14) ÷ (12/13) = (2/14) × (13/12) = 13/84.\n</reasoning>\nFinal Answer: 13/84"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 38 apples and buys 65 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 38 + 65 = 103.\n</reasoning>\nFinal Answer: 103"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 10, 11, 14, 19] and B = [5, 7, 10, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 5, 7, 11, 14].\n</reasoning>\nFinal Answer: [1, 2... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 572 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 572 × (1 + 30/100) = 572 × 1.3 = 743.6.\n</reasoning>\nFinal Answer: 743.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 8/4 / 18/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/4) ÷ (18/5) = (8/4) × (5/18) = 5/9.\n</reasoning>\nFinal Answer: 5/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "2 is what percentage of 8?"
},
{
"role": "assistant",
"content": "<reasoning>\n(2/8) × 100 = 25.0%.\n</reasoning>\nFinal Answer: 25.0%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -4 = -109"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 7x = -105. Divide by 7: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 7 and width 66."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 7 × 66 = 462.\n</reasoning>\nFinal Answer: 462"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 5, 9, 10, 14, 15, 18] and B = [1, 2, 3, 5, 6, 8, 12, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [2, 3, 5].\n</reasoning>\nFinal Answer: [2, 3, 5]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 547 km apart. Their speeds are 100 km/h and 102 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 100+102=202 km/h. Time = 547/202 = 2.7079 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (0)x + (-45) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 0² - 4×5×-45 = 900. √discriminant = 30. x = (-(0) ± 30) / (2×5). Solutions: x = 3 or x = -3.\n</reasoning>\nFinal Answer: x = 3 or x = -3"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 2/19 / 7/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/19) ÷ (7/18) = (2/19) × (18/7) = 36/133.\n</reasoning>\nFinal Answer: 36/133"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -944 ÷ -567"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -944 by -567. -944 ÷ -567 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 164 apples and buys 120 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 164 + 120 = 284.\n</reasoning>\nFinal Answer: 284"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 29 apples and buys 160 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 29 + 160 = 189.\n</reasoning>\nFinal Answer: 189"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 * 42 + 13 * 14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 14×42=588 and 13×14=182, then add: 770.\n</reasoning>\nFinal Answer: 770"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 929 ÷ -866"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 929 by -866. 929 ÷ -866 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [82, 36, 87, 24, 30, 48, 19, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {82: 1, 36: 1, 87: 1, 24: 1, 30: 1, 48: 1, 19: 1, 7: 1}. Most frequent: [82, 36, 87, 24, 30, 48, 19, 7].\n</reasoning>\nFinal Answer: [82, 36, 87... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:6 and A = 92, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/6, so B = A × (6/50) = 92 × 6/50 = 11.04.\n</reasoning>\nFinal Answer: 11.04"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 17/12 / 20/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/12) ÷ (20/3) = (17/12) × (3/20) = 17/80.\n</reasoning>\nFinal Answer: 17/80"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:18 and A = 92, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/18, so B = A × (18/45) = 92 × 18/45 = 36.8.\n</reasoning>\nFinal Answer: 36.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 42 and height 92."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 42 × 92 = 1932.0.\n</reasoning>\nFinal Answer: 1932.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -3 = -267"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 24x = -264. Divide by 24: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -474 - -917"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -917 from -474: -474 - -917 = 443.\n</reasoning>\nFinal Answer: 443"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 26 * 9 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 26×9=234, then 31+234-1=264.\n</reasoning>\nFinal Answer: 264"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 418 mod 583"
},
{
"role": "assistant",
"content": "<reasoning>\n418 mod 583: 418 = 583 × 0 + 418, so remainder = 418.\n</reasoning>\nFinal Answer: 418"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [41, 1, 65, 71, 92, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {41: 1, 1: 1, 65: 1, 71: 1, 92: 1, 6: 1}. Most frequent: [41, 1, 65, 71, 92, 6].\n</reasoning>\nFinal Answer: [41, 1, 65, 71, 92, 6]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (27 + 30) * (9 - 10)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (27+30)=57, (9-10)=-1, then 57×-1=-57.\n</reasoning>\nFinal Answer: -57"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [45, 28, 16, 90, 40, 88, 10, 90, 26, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 472/10 = 47.2.\n</reasoning>\nFinal Answer: 47.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -694 mod -334"
},
{
"role": "assistant",
"content": "<reasoning>\n-694 mod -334: -694 = -334 × 2 + -26, so remainder = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 64 and height 63."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 64 × 63 = 2016.0.\n</reasoning>\nFinal Answer: 2016.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 933 km apart. Their speeds are 55 km/h and 69 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 55+69=124 km/h. Time = 933/124 = 7.5242 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:43 and A = 21, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/43, so B = A × (43/5) = 21 × 43/5 = 180.6.\n</reasoning>\nFinal Answer: 180.6"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 47 = -1103"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 23x = -1150. Divide by 23: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (30 + 26) * (7 - 37)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (30+26)=56, (7-37)=-30, then 56×-30=-1680.\n</reasoning>\nFinal Answer: -1680"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 8, 10, 11, 14, 15, 17] and B = [1, 5, 6, 9, 12, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [3, 8, 10, 11, 14, 15, 17].\n</reasoning>\nFinal Answer: [3, 8, 10,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 154 × -667"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 154 by -667: 154 × -667 = -102718.\n</reasoning>\nFinal Answer: -102718"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 11 and 43."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (11×43)/1 = 473.\n</reasoning>\nFinal Answer: 473"
}
] | medium | [
"number_theory",
"lcm"
] |
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