messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "If the ratio of A to B is 30:20 and A = 28, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/20, so B = A × (20/30) = 28 × 20/30 = 18.6667.\n</reasoning>\nFinal Answer: 18.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 17/9 / 11/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/9) ÷ (11/16) = (17/9) × (16/11) = 272/99.\n</reasoning>\nFinal Answer: 272/99"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 40 and 92."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(40,92) = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the mode of: [96, 1, 37, 95, 57, 22, 38, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {96: 1, 1: 1, 37: 1, 95: 1, 57: 1, 22: 1, 38: 1, 27: 1}. Most frequent: [96, 1, 37, 95, 57, 22, 38, 27].\n</reasoning>\nFinal Answer: [96, 1, 37,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Decrease 495 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 495 × (1 - 60/100) = 495 × 0.4 = 198.0.\n</reasoning>\nFinal Answer: 198.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 31 and common difference 8, find the 31th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 31 + (31-1)×8 = 31 + 240 = 271.\n</reasoning>\nFinal Answer: 271"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:33 and A = 39, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/33, so B = A × (33/4) = 39 × 33/4 = 321.75.\n</reasoning>\nFinal Answer: 321.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 19 = -107"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 21x = -126. Divide by 21: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -32 = -207"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 7x = -175. Divide by 7: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 5/5 - 6/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/5 - 6/9. LCD = 3. Result = 1/3.\n</reasoning>\nFinal Answer: 1/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 435 km apart. Their speeds are 82 km/h and 81 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 82+81=163 km/h. Time = 435/163 = 2.6687 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 18 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 18 = 306 worker-days. New time = 306 / 9 = 34.0 days.\n</reasoning>\nFinal Answer: 34.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 1/12 + 14/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/12 + 14/20. Common denominator = 60. Result = 47/60.\n</reasoning>\nFinal Answer: 47/60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the circumference of a circle with radius 28. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nCircumference = 2πr = 2 × π × 28 ≈ 175.9292.\n</reasoning>\nFinal Answer: 175.9292"
}
] | easy | [
"geometry",
"circumference"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (21 + 20) * (20 - 40)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (21+20)=41, (20-40)=-20, then 41×-20=-820.\n</reasoning>\nFinal Answer: -820"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 38 and common difference 10, find the 16th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 38 + (16-1)×10 = 38 + 150 = 188.\n</reasoning>\nFinal Answer: 188"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 41 and common difference 7, find the 48th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 41 + (48-1)×7 = 41 + 329 = 370.\n</reasoning>\nFinal Answer: 370"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (0)x + (-256) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 0² - 4×4×-256 = 4096. √discriminant = 64. x = (-(0) ± 64) / (2×4). Solutions: x = 8 or x = -8.\n</reasoning>\nFinal Answer: x = 8 or x = -8"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 17/7 / 20/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/7) ÷ (20/14) = (17/7) × (14/20) = 17/10.\n</reasoning>\nFinal Answer: 17/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 10 = 253"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 9x = 243. Divide by 9: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -742 mod -463"
},
{
"role": "assistant",
"content": "<reasoning>\n-742 mod -463: -742 = -463 × 1 + -279, so remainder = -279.\n</reasoning>\nFinal Answer: -279"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 920 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 920 × (1 - 45/100) = 920 × 0.55 = 506.0.\n</reasoning>\nFinal Answer: 506.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 370 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 370 × (1 + 30/100) = 370 × 1.3 = 481.0.\n</reasoning>\nFinal Answer: 481.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -496 ÷ 834"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -496 by 834. -496 ÷ 834 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [4, 6, 7, 8, 18, 19] and B = [12, 14, 15], 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": "Solve: 2x² + (-4)x + (-70) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -4² - 4×2×-70 = 576. √discriminant = 24. x = (-(-4) ± 24) / (2×2). Solutions: x = -5 or x = 7.\n</reasoning>\nFinal Answer: x = -5 or x = 7"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 16/5 * 11/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/5) × (11/15) = (176/75) = 176/75 after simplification.\n</reasoning>\nFinal Answer: 176/75"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [3, 62, 57, 19, 93, 74, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 326/7 = 46.5714.\n</reasoning>\nFinal Answer: 46.5714"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Ravi has 58 apples and buys 107 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 58 + 107 = 165.\n</reasoning>\nFinal Answer: 165"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 45% of 338?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 338 = (45/100) × 338 = 152.1.\n</reasoning>\nFinal Answer: 152.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [19, 20, 21, 22, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 19 and common difference 1. Next term = 23 + 1 = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (38 + 16) * (30 - 22)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (38+16)=54, (30-22)=8, then 54×8=432.\n</reasoning>\nFinal Answer: 432"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 17 = 665"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 27x = 648. Divide by 27: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 594 - -862"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -862 from 594: 594 - -862 = 1456.\n</reasoning>\nFinal Answer: 1456"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/16 / 5/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/16) ÷ (5/10) = (15/16) × (10/5) = 15/8.\n</reasoning>\nFinal Answer: 15/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:43 and A = 7, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/43, so B = A × (43/36) = 7 × 43/36 = 8.3611.\n</reasoning>\nFinal Answer: 8.3611"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 45, 7 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (45+7) × 11 = 286.0.\n</reasoning>\nFinal Answer: 286.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 25% of 354?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 354 = (25/100) × 354 = 88.5.\n</reasoning>\nFinal Answer: 88.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -615 mod -828"
},
{
"role": "assistant",
"content": "<reasoning>\n-615 mod -828: -615 = -828 × 0 + -615, so remainder = -615.\n</reasoning>\nFinal Answer: -615"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 240 km apart. Their speeds are 95 km/h and 67 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 95+67=162 km/h. Time = 240/162 = 1.4815 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -331 - -290"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -290 from -331: -331 - -290 = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 16 = 772"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 28x = 756. Divide by 28: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:48 and A = 44, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/48, so B = A × (48/26) = 44 × 48/26 = 81.2308.\n</reasoning>\nFinal Answer: 81.2308"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:34 and A = 86, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/34, so B = A × (34/23) = 86 × 34/23 = 127.1304.\n</reasoning>\nFinal Answer: 127.1304"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 20 ** 2 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 20²=400, then 9+400-1=408.\n</reasoning>\nFinal Answer: 408"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 13/4 + 16/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/4 + 16/18. Common denominator = 36. Result = 149/36.\n</reasoning>\nFinal Answer: 149/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [63, 52, 67, 49, 82, 89, 5, 11, 1, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 1 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 75 and height 58."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 75 × 58 = 4350.\n</reasoning>\nFinal Answer: 4350"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [78, 54, 97, 47, 26, 91, 17, 23, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 4 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 42 ** 2 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 42²=1764, then 45+1764-25=1784.\n</reasoning>\nFinal Answer: 1784"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (36 + 10) * (15 - 44)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (36+10)=46, (15-44)=-29, then 46×-29=-1334.\n</reasoning>\nFinal Answer: -1334"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 28 and 15."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (28×15)/1 = 420.\n</reasoning>\nFinal Answer: 420"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Ravi has 82 apples and buys 161 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 82 + 161 = 243.\n</reasoning>\nFinal Answer: 243"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [48, 41, 5, 90, 15, 85, 18, 18, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 374/9 = 41.5556.\n</reasoning>\nFinal Answer: 41.5556"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:43 and A = 36, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/43, so B = A × (43/6) = 36 × 43/6 = 258.0.\n</reasoning>\nFinal Answer: 258.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 133 apples and buys 147 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 133 + 147 = 280.\n</reasoning>\nFinal Answer: 280"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:33 and A = 87, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/33, so B = A × (33/41) = 87 × 33/41 = 70.0244.\n</reasoning>\nFinal Answer: 70.0244"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 39 ** 2 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 39²=1521, then 16+1521-17=1520.\n</reasoning>\nFinal Answer: 1520"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 4 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 4 × (1 - 17/100) = 4 × 0.83 = 3.32.\n</reasoning>\nFinal Answer: 3.32"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 9 and width 29."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(9+29) = 2×38 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -44 = -1364"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 30x = -1320. Divide by 30: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 31 apples and buys 82 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 31 + 82 = 113.\n</reasoning>\nFinal Answer: 113"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -654 - 987"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 987 from -654: -654 - 987 = -1641.\n</reasoning>\nFinal Answer: -1641"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/15 - 1/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/15 - 1/15. LCD = 15. Result = 11/15.\n</reasoning>\nFinal Answer: 11/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 27 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 27 = 513 worker-days. New time = 513 / 7 = 73.2857 days.\n</reasoning>\nFinal Answer: 73.2857"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -963 - 620"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 620 from -963: -963 - 620 = -1583.\n</reasoning>\nFinal Answer: -1583"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 897 mod 373"
},
{
"role": "assistant",
"content": "<reasoning>\n897 mod 373: 897 = 373 × 2 + 151, so remainder = 151.\n</reasoning>\nFinal Answer: 151"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [24, 53, 66, 86, 7, 2, 33, 90, 34, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {24: 1, 53: 1, 66: 1, 86: 1, 7: 1, 2: 1, 33: 1, 90: 1, 34: 1, 32: 1}. Most frequent: [24, 53, 66, 86, 7, 2, 33, 90, 34, 32].\n</reasoning>... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:15 and A = 34, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/15, so B = A × (15/8) = 34 × 15/8 = 63.75.\n</reasoning>\nFinal Answer: 63.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -3 = -536"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 13x = -533. Divide by 13: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 25 ** 2 - 23"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 25²=625, then 18+625-23=620.\n</reasoning>\nFinal Answer: 620"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (45 + 5) * (25 - 2)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (45+5)=50, (25-2)=23, then 50×23=1150.\n</reasoning>\nFinal Answer: 1150"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 238 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 238 × (1 - 90/100) = 238 × 0.09999999999999998 = 23.8.\n</reasoning>\nFinal Answer: 23.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [6, 10, 15] and B = [2, 6, 7, 8, 10, 11, 14, 15], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 6, 7, 8, 10, 11, 14, 15].\n</reasoning>\nFinal Answer: [2, 6, 7, 8, 10, 11, 14, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -374 × -49"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -374 by -49: -374 × -49 = 18326.\n</reasoning>\nFinal Answer: 18326"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 17 = 273"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 8x = 256. Divide by 8: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 42 * 35 - 18"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 42×35=1470, then 16+1470-18=1468.\n</reasoning>\nFinal Answer: 1468"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 67 and height 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 67 × 36 = 2412.\n</reasoning>\nFinal Answer: 2412"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 669 ÷ -15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 669 by -15. 669 ÷ -15 = -45 (integer division).\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [96, 99, 88, 51, 53, 11, 89, 97, 51, 2]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 2 = 97.\n</reasoning>\nFinal Answer: 97"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 42 * 36 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 42×36=1512, then 15+1512-9=1518.\n</reasoning>\nFinal Answer: 1518"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -329 × -754"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -329 by -754: -329 × -754 = 248066.\n</reasoning>\nFinal Answer: 248066"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹4871. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4871 × 5/100 = 243.55. Total = 4871 + 243.55 = 5114.55.\n</reasoning>\nFinal Answer: 5114.55"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -11 = -135"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 4x = -124. Divide by 4: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:45 and A = 14, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/45, so B = A × (45/30) = 14 × 45/30 = 21.0.\n</reasoning>\nFinal Answer: 21.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 17 ** 2 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 17²=289, then 30+289-15=304.\n</reasoning>\nFinal Answer: 304"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 10/13 * 6/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/13) × (6/4) = (60/52) = 15/13 after simplification.\n</reasoning>\nFinal Answer: 15/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 32 = 242"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 30x = 210. Divide by 30: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 608 km apart. Their speeds are 47 km/h and 68 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 47+68=115 km/h. Time = 608/115 = 5.287 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 400 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 400 × (1 - 30/100) = 400 × 0.7 = 280.0.\n</reasoning>\nFinal Answer: 280.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 54 and width 83."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 54 × 83 = 4482.\n</reasoning>\nFinal Answer: 4482"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 1/9 * 19/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/9) × (19/6) = (19/54) = 19/54 after simplification.\n</reasoning>\nFinal Answer: 19/54"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 80% of 65?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 65 = (80/100) × 65 = 52.0.\n</reasoning>\nFinal Answer: 52.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 362 km apart. Their speeds are 57 km/h and 80 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 57+80=137 km/h. Time = 362/137 = 2.6423 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 13/13 * 12/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/13) × (12/18) = (156/234) = 2/3 after simplification.\n</reasoning>\nFinal Answer: 2/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [22, 16, 31, 95, 5, 82, 50, 13, 41, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {22: 1, 16: 1, 31: 1, 95: 1, 5: 1, 82: 1, 50: 1, 13: 1, 41: 1, 18: 1}. Most frequent: [22, 16, 31, 95, 5, 82, 50, 13, 41, 18].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 522 mod 823"
},
{
"role": "assistant",
"content": "<reasoning>\n522 mod 823: 522 = 823 × 0 + 522, so remainder = 522.\n</reasoning>\nFinal Answer: 522"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 374 mod -395"
},
{
"role": "assistant",
"content": "<reasoning>\n374 mod -395: 374 = -395 × -1 + -21, so remainder = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 152 ÷ -601"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 152 by -601. 152 ÷ -601 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 22 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 22 × 2 = 22.0.\n</reasoning>\nFinal Answer: 22.0"
}
] | easy | [
"geometry",
"area"
] |
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