messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 13/10 * 7/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/10) × (7/12) = (91/120) = 91/120 after simplification.\n</reasoning>\nFinal Answer: 91/120"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -22 = 68"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 3x = 90. Divide by 3: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 754 - -213"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -213 from 754: 754 - -213 = 967.\n</reasoning>\nFinal Answer: 967"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/2 + 9/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/2 + 9/13. Common denominator = 26. Result = 239/26.\n</reasoning>\nFinal Answer: 239/26"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 416 + 139"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 416 and 139: 416 + 139 = 555.\n</reasoning>\nFinal Answer: 555"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 31 and height 76."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 31 × 76 = 2356.\n</reasoning>\nFinal Answer: 2356"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 122 apples and buys 165 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 122 + 165 = 287.\n</reasoning>\nFinal Answer: 287"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -42 = -528"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 18x = -486. Divide by 18: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [14, 16, 17] and B = [2, 4, 6, 10, 12, 14], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 4, 6, 10, 12, 16, 17].\n</reasoning>\nFinal Answer: [2,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 12 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 12 × 28 = 336.\n</reasoning>\nFinal Answer: 336"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 17/16 - 6/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/16 - 6/1. LCD = 16. Result = -79/16.\n</reasoning>\nFinal Answer: -79/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 349 mod 222"
},
{
"role": "assistant",
"content": "<reasoning>\n349 mod 222: 349 = 222 × 1 + 127, so remainder = 127.\n</reasoning>\nFinal Answer: 127"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 5 * 3 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 5×3=15, then 36+15-20=31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 123 and 116."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(123,116) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -656 × 647"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -656 by 647: -656 × 647 = -424432.\n</reasoning>\nFinal Answer: -424432"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "48 is what percentage of 474?"
},
{
"role": "assistant",
"content": "<reasoning>\n(48/474) × 100 = 10.1266%.\n</reasoning>\nFinal Answer: 10.1266%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mean of: [81, 72, 33, 2, 52, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 259/6 = 43.1667.\n</reasoning>\nFinal Answer: 43.1667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 3/16 * 20/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/16) × (20/11) = (60/176) = 15/44 after simplification.\n</reasoning>\nFinal Answer: 15/44"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -14 = -98"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 3x = -84. Divide by 3: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 24 ** 2 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 24²=576, then 31+576-9=598.\n</reasoning>\nFinal Answer: 598"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 155 mod 273"
},
{
"role": "assistant",
"content": "<reasoning>\n155 mod 273: 155 = 273 × 0 + 155, so remainder = 155.\n</reasoning>\nFinal Answer: 155"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 283 - -250"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -250 from 283: 283 - -250 = 533.\n</reasoning>\nFinal Answer: 533"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [10, 35, 32, 37, 41, 98, 46, 2, 53, 14]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 368/10 = 36.8.\n</reasoning>\nFinal Answer: 36.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 4, 5, 11, 12, 16, 17] and B = [1, 2, 8, 13, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1, 2].\n</reasoning>\nFinal Answer: [1, 2]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 81 and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(81,40) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 31 and 33."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (31×33)/1 = 1023.\n</reasoning>\nFinal Answer: 1023"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 1/7 / 14/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/7) ÷ (14/15) = (1/7) × (15/14) = 15/98.\n</reasoning>\nFinal Answer: 15/98"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 76 and 103."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(76,103) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 7/12 / 13/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/12) ÷ (13/8) = (7/12) × (8/13) = 14/39.\n</reasoning>\nFinal Answer: 14/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 * 31 + 16 * 28"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 44×31=1364 and 16×28=448, then add: 1812.\n</reasoning>\nFinal Answer: 1812"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 12/11 - 20/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/11 - 20/12. LCD = 33. Result = -19/33.\n</reasoning>\nFinal Answer: -19/33"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 185 km/h. How far does it travel in 11 hours and 46 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 46/60 = 11.7667 hours. Distance = speed × time = 185 × 11.7667 = 2176.8333 km.\n</reasoning>\nFinal Answer: 2176.8333"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [5, 12, 13, 19] and B = [2, 5, 7, 16], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 5, 7, 12, 13, 16, 19].\n</reasoning>\nFinal Answer: [2, 5, 7, 12, 13, 16, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mode of: [87, 78, 91, 72, 7, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {87: 1, 78: 1, 91: 1, 72: 1, 7: 1, 59: 1}. Most frequent: [87, 78, 91, 72, 7, 59].\n</reasoning>\nFinal Answer: [87, 78, 91, 72, 7, 59]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 1/11 + 7/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/11 + 7/12. Common denominator = 132. Result = 89/132.\n</reasoning>\nFinal Answer: 89/132"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 6 and common difference 1, find the 18th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 6 + (18-1)×1 = 6 + 17 = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the median of: [27, 7, 39, 79, 58, 29, 17, 93, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 17, 20, 27, 29, 39, 58, 79, 93]. Middle value(s) → median = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 122 - -381"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -381 from 122: 122 - -381 = 503.\n</reasoning>\nFinal Answer: 503"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 298 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 298 × (1 - 60/100) = 298 × 0.4 = 119.2.\n</reasoning>\nFinal Answer: 119.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 8, 13, 14, 16, 18] and B = [1, 2, 4, 8, 11, 12, 13], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 5, 11, 12, 14, 16, 18].\n</reasoning... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -5 = -1201"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 26x = -1196. Divide by 26: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [5, 17, 19] and B = [6, 9, 10, 11, 13, 16, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [17].\n</reasoning>\nFinal Answer: [17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 6 and common difference 5, find the 41th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 6 + (41-1)×5 = 6 + 200 = 206.\n</reasoning>\nFinal Answer: 206"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mode of: [72, 80, 37, 13, 32, 2, 13, 8, 34, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {72: 1, 80: 1, 37: 1, 13: 2, 32: 1, 2: 1, 8: 1, 34: 1, 47: 1}. Most frequent: 13.\n</reasoning>\nFinal Answer: 13"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Increase 905 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 905 × (1 + 25/100) = 905 × 1.25 = 1131.25.\n</reasoning>\nFinal Answer: 1131.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (26 + 47) * (25 - 18)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (26+47)=73, (25-18)=7, then 73×7=511.\n</reasoning>\nFinal Answer: 511"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -770 × 245"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -770 by 245: -770 × 245 = -188650.\n</reasoning>\nFinal Answer: -188650"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 952 km apart. Their speeds are 75 km/h and 45 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 75+45=120 km/h. Time = 952/120 = 7.9333 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [12, 33, 41, 4, 72, 8, 13, 2]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 185/8 = 23.125.\n</reasoning>\nFinal Answer: 23.125"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Increase 134 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 134 × (1 + 10/100) = 134 × 1.1 = 147.4.\n</reasoning>\nFinal Answer: 147.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 20/1 / 12/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/1) ÷ (12/10) = (20/1) × (10/12) = 50/3.\n</reasoning>\nFinal Answer: 50/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [59, 8, 30, 17, 20, 37, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 17, 20, 25, 30, 37, 59]. Middle value(s) → median = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "A train travels at 127 km/h. How far does it travel in 9 hours and 25 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 25/60 = 9.4167 hours. Distance = speed × time = 127 × 9.4167 = 1195.9167 km.\n</reasoning>\nFinal Answer: 1195.9167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [19, 5, 61, 74, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {19: 1, 5: 1, 61: 1, 74: 1, 21: 1}. Most frequent: [19, 5, 61, 74, 21].\n</reasoning>\nFinal Answer: [19, 5, 61, 74, 21]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 2 = 317"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 15x = 315. Divide by 15: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 3/17 * 5/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/17) × (5/1) = (15/17) = 15/17 after simplification.\n</reasoning>\nFinal Answer: 15/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 15/19 * 9/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/19) × (9/3) = (135/57) = 45/19 after simplification.\n</reasoning>\nFinal Answer: 45/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 6/19 / 16/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/19) ÷ (16/8) = (6/19) × (8/16) = 3/19.\n</reasoning>\nFinal Answer: 3/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -24 = 576"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 25x = 600. Divide by 25: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 25 and 13."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (25×13)/1 = 325.\n</reasoning>\nFinal Answer: 325"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "339 is what percentage of 786?"
},
{
"role": "assistant",
"content": "<reasoning>\n(339/786) × 100 = 43.1298%.\n</reasoning>\nFinal Answer: 43.1298%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -48 = -51"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 1x = -3. Divide by 1: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [66, 25, 57, 20, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 260/5 = 52.0.\n</reasoning>\nFinal Answer: 52.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 68 and height 49."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 68 × 49 = 1666.0.\n</reasoning>\nFinal Answer: 1666.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -47 = 223"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 27x = 270. Divide by 27: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 38 and height 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 38 × 17 = 323.0.\n</reasoning>\nFinal Answer: 323.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [80, 17, 23, 54, 29, 10, 51, 76, 2]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 342/9 = 38.0.\n</reasoning>\nFinal Answer: 38.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 49 and common difference 15, find the 11th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 49 + (11-1)×15 = 49 + 150 = 199.\n</reasoning>\nFinal Answer: 199"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 83 and height 65."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 83 × 65 = 5395.\n</reasoning>\nFinal Answer: 5395"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 22 = 758"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 16x = 736. Divide by 16: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -567 × -141"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -567 by -141: -567 × -141 = 79947.\n</reasoning>\nFinal Answer: 79947"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [34, 62, 30, 63, 45, 21, 74, 44, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 404/9 = 44.8889.\n</reasoning>\nFinal Answer: 44.8889"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:20 and A = 41, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/20, so B = A × (20/44) = 41 × 20/44 = 18.6364.\n</reasoning>\nFinal Answer: 18.6364"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -11 = 652"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 17x = 663. Divide by 17: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 4/4 - 12/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/4 - 12/19. LCD = 19. Result = 7/19.\n</reasoning>\nFinal Answer: 7/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 5/19 / 4/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/19) ÷ (4/10) = (5/19) × (10/4) = 25/38.\n</reasoning>\nFinal Answer: 25/38"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 371."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 371 by smallest primes repeatedly: 371 = 7 × 53.\n</reasoning>\nFinal Answer: 7 × 53"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "96 is what percentage of 398?"
},
{
"role": "assistant",
"content": "<reasoning>\n(96/398) × 100 = 24.1206%.\n</reasoning>\nFinal Answer: 24.1206%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Increase 397 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 397 × (1 + 60/100) = 397 × 1.6 = 635.2.\n</reasoning>\nFinal Answer: 635.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 28 ** 2 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 28²=784, then 18+784-20=782.\n</reasoning>\nFinal Answer: 782"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [67, 97, 94, 31, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [31, 65, 67, 94, 97]. Middle value(s) → median = 67.\n</reasoning>\nFinal Answer: 67"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -692 mod 57"
},
{
"role": "assistant",
"content": "<reasoning>\n-692 mod 57: -692 = 57 × -13 + 49, so remainder = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -664 + -262"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -664 and -262: -664 + -262 = -926.\n</reasoning>\nFinal Answer: -926"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:21 and A = 99, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/21, so B = A × (21/4) = 99 × 21/4 = 519.75.\n</reasoning>\nFinal Answer: 519.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 50, 37 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (50+37) × 13 = 565.5.\n</reasoning>\nFinal Answer: 565.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 4 = -220"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 16x = -224. Divide by 16: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 6 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 6 = 102 worker-days. New time = 102 / 16 = 6.375 days.\n</reasoning>\nFinal Answer: 6.375"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 4/1 + 10/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/1 + 10/20. Common denominator = 2. Result = 9/2.\n</reasoning>\nFinal Answer: 9/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "343 is what percentage of 529?"
},
{
"role": "assistant",
"content": "<reasoning>\n(343/529) × 100 = 64.8393%.\n</reasoning>\nFinal Answer: 64.8393%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 986 km apart. Their speeds are 89 km/h and 73 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 89+73=162 km/h. Time = 986/162 = 6.0864 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 541 km apart. Their speeds are 98 km/h and 96 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 98+96=194 km/h. Time = 541/194 = 2.7887 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 28 = 244"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 18x = 216. Divide by 18: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 143 × -712"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 143 by -712: 143 × -712 = -101816.\n</reasoning>\nFinal Answer: -101816"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/19 - 1/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/19 - 1/1. LCD = 19. Result = -13/19.\n</reasoning>\nFinal Answer: -13/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 * 30 + 34 * 8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 16×30=480 and 34×8=272, then add: 752.\n</reasoning>\nFinal Answer: 752"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -989 + -535"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -989 and -535: -989 + -535 = -1524.\n</reasoning>\nFinal Answer: -1524"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -948 - -752"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -752 from -948: -948 - -752 = -196.\n</reasoning>\nFinal Answer: -196"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 36."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 36 by smallest primes repeatedly: 36 = 2 × 2 × 3 × 3.\n</reasoning>\nFinal Answer: 2 × 2 × 3 × 3"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (44)x + (72) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 44² - 4×4×72 = 784. √discriminant = 28. x = (-(44) ± 28) / (2×4). Solutions: x = -9 or x = -2.\n</reasoning>\nFinal Answer: x = -9 or x = -2"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 10 = 182"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 4x = 172. Divide by 4: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
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