messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: 124 - 328"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 328 from 124: 124 - 328 = -204.\n</reasoning>\nFinal Answer: -204"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 34 = 304"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 27x = 270. Divide by 27: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 870 - -222"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -222 from 870: 870 - -222 = 1092.\n</reasoning>\nFinal Answer: 1092"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 116 and 191."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(116,191) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 14 ** 2 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 14²=196, then 38+196-42=192.\n</reasoning>\nFinal Answer: 192"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [58, 58, 67, 51, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 264/5 = 52.8.\n</reasoning>\nFinal Answer: 52.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 7/3 / 9/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/3) ÷ (9/10) = (7/3) × (10/9) = 70/27.\n</reasoning>\nFinal Answer: 70/27"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 204 ÷ -667"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 204 by -667. 204 ÷ -667 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 29 and common difference 19, find the 41th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 29 + (41-1)×19 = 29 + 760 = 789.\n</reasoning>\nFinal Answer: 789"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 14/6 - 5/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/6 - 5/7. LCD = 21. Result = 34/21.\n</reasoning>\nFinal Answer: 34/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 303 ÷ 319"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 303 by 319. 303 ÷ 319 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 5/12 + 20/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/12 + 20/12. Common denominator = 12. Result = 25/12.\n</reasoning>\nFinal Answer: 25/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹7086 at 5% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 7086 × 5 × 9 / 100 = 3188.7.\n</reasoning>\nFinal Answer: 3188.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 17 = -133"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 15x = -150. Divide by 15: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 10, 43 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (10+43) × 50 = 1325.0.\n</reasoning>\nFinal Answer: 1325.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 12% of 179?"
},
{
"role": "assistant",
"content": "<reasoning>\n12% of 179 = (12/100) × 179 = 21.48.\n</reasoning>\nFinal Answer: 21.48"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 26, 13 and height 34."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (26+13) × 34 = 663.0.\n</reasoning>\nFinal Answer: 663.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "448 is what percentage of 469?"
},
{
"role": "assistant",
"content": "<reasoning>\n(448/469) × 100 = 95.5224%.\n</reasoning>\nFinal Answer: 95.5224%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 29 = -587"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 14x = -616. Divide by 14: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [4, 6, 8, 10, 12, 15, 16] and B = [7, 9, 14, 16, 17, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [4, 6, 7, 8, 9, 10, 12, 14, 15, 16, 17, 18].\n</reasoning>\nFinal Answer: [4,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -14 = -1264"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 25x = -1250. Divide by 25: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -706 ÷ -877"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -706 by -877. -706 ÷ -877 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹206. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 206 × 18/100 = 37.08. Total = 206 + 37.08 = 243.08.\n</reasoning>\nFinal Answer: 243.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 10 * 46 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 10×46=460, then 44+460-32=472.\n</reasoning>\nFinal Answer: 472"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 9 = -321"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 11x = -330. Divide by 11: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [44, 28, 17, 88, 6, 100, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {44: 1, 28: 1, 17: 1, 88: 1, 6: 1, 100: 1, 93: 1}. Most frequent: [44, 28, 17, 88, 6, 100, 93].\n</reasoning>\nFinal Answer: [44, 28, 17, 88, 6, 100... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mean of: [56, 25, 81, 69, 25, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 276/6 = 46.0.\n</reasoning>\nFinal Answer: 46.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "What is 60% of 135?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 135 = (60/100) × 135 = 81.0.\n</reasoning>\nFinal Answer: 81.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹9850 at 2% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 9850 × 2 × 7 / 100 = 1379.0.\n</reasoning>\nFinal Answer: 1379.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹18704 at 8% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 18704 × 8 × 2 / 100 = 2992.64.\n</reasoning>\nFinal Answer: 2992.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 16 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 16 = 144 worker-days. New time = 144 / 16 = 9.0 days.\n</reasoning>\nFinal Answer: 9.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [80, 54, 59, 27, 52, 13, 60, 5, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 80 - 5 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "What is 75% of 941?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 941 = (75/100) × 941 = 705.75.\n</reasoning>\nFinal Answer: 705.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 + 25 ** 2 - 5"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 25²=625, then 7+625-5=627.\n</reasoning>\nFinal Answer: 627"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 16 ** 2 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 16²=256, then 19+256-44=231.\n</reasoning>\nFinal Answer: 231"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -22 = 23"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 1x = 45. Divide by 1: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:10 and A = 87, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/10, so B = A × (10/34) = 87 × 10/34 = 25.5882.\n</reasoning>\nFinal Answer: 25.5882"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 34 = 142"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 12x = 108. Divide by 12: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -816 - 718"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 718 from -816: -816 - 718 = -1534.\n</reasoning>\nFinal Answer: -1534"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 38 and common difference 11, find the 30th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 38 + (30-1)×11 = 38 + 319 = 357.\n</reasoning>\nFinal Answer: 357"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 670 + -268"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 670 and -268: 670 + -268 = 402.\n</reasoning>\nFinal Answer: 402"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 573 - 626"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 626 from 573: 573 - 626 = -53.\n</reasoning>\nFinal Answer: -53"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 48 = 108"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 4x = 60. Divide by 4: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "54 is what percentage of 109?"
},
{
"role": "assistant",
"content": "<reasoning>\n(54/109) × 100 = 49.5413%.\n</reasoning>\nFinal Answer: 49.5413%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 5/1 / 9/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/1) ÷ (9/5) = (5/1) × (5/9) = 25/9.\n</reasoning>\nFinal Answer: 25/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 41 = -220"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 29x = -261. Divide by 29: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 4/14 / 6/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/14) ÷ (6/20) = (4/14) × (20/6) = 20/21.\n</reasoning>\nFinal Answer: 20/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 186 + -2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 186 and -2: 186 + -2 = 184.\n</reasoning>\nFinal Answer: 184"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [22, 84, 8, 48, 61, 47, 5, 56, 39, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {22: 1, 84: 1, 8: 1, 48: 1, 61: 1, 47: 1, 5: 1, 56: 1, 39: 1, 3: 1}. Most frequent: [22, 84, 8, 48, 61, 47, 5, 56, 39, 3].\n</reasoning>\nF... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 19 and width 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 19 × 28 = 532.\n</reasoning>\nFinal Answer: 532"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 28, 12 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (28+12) × 5 = 100.0.\n</reasoning>\nFinal Answer: 100.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 8, 9, 15, 16, 17] and B = [1, 13, 16], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 8, 9, 13, 15, 16, 17].\n</reasoning>\nFinal Answer: [1, 3, 8, 9, 13, 15, 16, 17]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mode of: [46, 83, 17, 51, 54, 87, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {46: 1, 83: 1, 17: 1, 51: 1, 54: 1, 87: 1, 85: 1}. Most frequent: [46, 83, 17, 51, 54, 87, 85].\n</reasoning>\nFinal Answer: [46, 83, 17, 51, 54, 87... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 12/10 - 17/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/10 - 17/13. LCD = 65. Result = -7/65.\n</reasoning>\nFinal Answer: -7/65"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [38, 35, 29, 42, 79, 84, 20, 85, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 20 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 42 * 12 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 42×12=504, then 18+504-1=521.\n</reasoning>\nFinal Answer: 521"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 10/13 * 3/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/13) × (3/10) = (30/130) = 3/13 after simplification.\n</reasoning>\nFinal Answer: 3/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 560 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 560 × (1 - 60/100) = 560 × 0.4 = 224.0.\n</reasoning>\nFinal Answer: 224.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 302 + 206"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 302 and 206: 302 + 206 = 508.\n</reasoning>\nFinal Answer: 508"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 69 km/h. How far does it travel in 9 hours and 32 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 32/60 = 9.5333 hours. Distance = speed × time = 69 × 9.5333 = 657.8 km.\n</reasoning>\nFinal Answer: 657.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 55 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 55 × (1 + 12/100) = 55 × 1.12 = 61.6.\n</reasoning>\nFinal Answer: 61.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 22 ÷ 881"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 22 by 881. 22 ÷ 881 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/14 * 1/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/14) × (1/9) = (15/126) = 5/42 after simplification.\n</reasoning>\nFinal Answer: 5/42"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [4, 9, 16, 19] and B = [4, 5, 6, 9, 11, 13, 14], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [4, 9].\n</reasoning>\nFinal Answer: [4, 9]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Decrease 316 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 316 × (1 - 20/100) = 316 × 0.8 = 252.8.\n</reasoning>\nFinal Answer: 252.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 505 km apart. Their speeds are 89 km/h and 101 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 89+101=190 km/h. Time = 505/190 = 2.6579 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -976 × -917"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -976 by -917: -976 × -917 = 894992.\n</reasoning>\nFinal Answer: 894992"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "211 is what percentage of 910?"
},
{
"role": "assistant",
"content": "<reasoning>\n(211/910) × 100 = 23.1868%.\n</reasoning>\nFinal Answer: 23.1868%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Decrease 10 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 10 × (1 - 15/100) = 10 × 0.85 = 8.5.\n</reasoning>\nFinal Answer: 8.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 96 and width 90."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 96 × 90 = 8640.\n</reasoning>\nFinal Answer: 8640"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 * 23 + 18 * 3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 36×23=828 and 18×3=54, then add: 882.\n</reasoning>\nFinal Answer: 882"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 6/18 - 16/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/18 - 16/10. LCD = 15. Result = -19/15.\n</reasoning>\nFinal Answer: -19/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [9, 44, 23, 45, 54, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 54 - 9 = 45.\n</reasoning>\nFinal Answer: 45"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -59 mod -628"
},
{
"role": "assistant",
"content": "<reasoning>\n-59 mod -628: -59 = -628 × 0 + -59, so remainder = -59.\n</reasoning>\nFinal Answer: -59"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:45 and A = 86, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/45, so B = A × (45/13) = 86 × 45/13 = 297.6923.\n</reasoning>\nFinal Answer: 297.6923"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 98."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 98 = 392.\n</reasoning>\nFinal Answer: 392"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 7/4 - 13/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/4 - 13/16. LCD = 16. Result = 15/16.\n</reasoning>\nFinal Answer: 15/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 4/11 * 18/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/11) × (18/20) = (72/220) = 18/55 after simplification.\n</reasoning>\nFinal Answer: 18/55"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 11 = 46"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 5x = 35. Divide by 5: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -12 = 968"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 28x = 980. Divide by 28: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-40)x + (36) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -40² - 4×4×36 = 1024. √discriminant = 32. x = (-(-40) ± 32) / (2×4). Solutions: x = 1 or x = 9.\n</reasoning>\nFinal Answer: x = 1 or x = 9"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the mean of: [18, 4, 85, 35, 90, 9, 12, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 351/8 = 43.875.\n</reasoning>\nFinal Answer: 43.875"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "256 is what percentage of 277?"
},
{
"role": "assistant",
"content": "<reasoning>\n(256/277) × 100 = 92.4188%.\n</reasoning>\nFinal Answer: 92.4188%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -144 mod 644"
},
{
"role": "assistant",
"content": "<reasoning>\n-144 mod 644: -144 = 644 × -1 + 500, so remainder = 500.\n</reasoning>\nFinal Answer: 500"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [9, 21, 33, 45, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 9 and common difference 12. Next term = 57 + 12 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "15 is what percentage of 23?"
},
{
"role": "assistant",
"content": "<reasoning>\n(15/23) × 100 = 65.2174%.\n</reasoning>\nFinal Answer: 65.2174%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 7/13 / 4/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/13) ÷ (4/20) = (7/13) × (20/4) = 35/13.\n</reasoning>\nFinal Answer: 35/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 787 - -108"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -108 from 787: 787 - -108 = 895.\n</reasoning>\nFinal Answer: 895"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 59 apples and buys 150 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 59 + 150 = 209.\n</reasoning>\nFinal Answer: 209"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 379 ÷ -692"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 379 by -692. 379 ÷ -692 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -135 + -382"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -135 and -382: -135 + -382 = -517.\n</reasoning>\nFinal Answer: -517"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 129 ÷ -256"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 129 by -256. 129 ÷ -256 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 24 = -850"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 23x = -874. Divide by 23: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [63, 27, 30, 12, 72, 14]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {63: 1, 27: 1, 30: 1, 12: 1, 72: 1, 14: 1}. Most frequent: [63, 27, 30, 12, 72, 14].\n</reasoning>\nFinal Answer: [63, 27, 30, 12, 72, 14]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -989 mod 697"
},
{
"role": "assistant",
"content": "<reasoning>\n-989 mod 697: -989 = 697 × -2 + 405, so remainder = 405.\n</reasoning>\nFinal Answer: 405"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 412 km apart. Their speeds are 106 km/h and 114 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 106+114=220 km/h. Time = 412/220 = 1.8727 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 11/19 - 5/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/19 - 5/13. LCD = 247. Result = 48/247.\n</reasoning>\nFinal Answer: 48/247"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 3/13 / 2/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/13) ÷ (2/19) = (3/13) × (19/2) = 57/26.\n</reasoning>\nFinal Answer: 57/26"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 527 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 527 × (1 - 30/100) = 527 × 0.7 = 368.9.\n</reasoning>\nFinal Answer: 368.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 159 and 74."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(159,74) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
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