messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "In an arithmetic progression with first term 6 and common difference 12, find the 32th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 6 + (32-1)×12 = 6 + 372 = 378.\n</reasoning>\nFinal Answer: 378"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 132 mod 561"
},
{
"role": "assistant",
"content": "<reasoning>\n132 mod 561: 132 = 561 × 0 + 132, so remainder = 132.\n</reasoning>\nFinal Answer: 132"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (10)x + (12) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 10² - 4×2×12 = 4. √discriminant = 2. x = (-(10) ± 2) / (2×2). Solutions: x = -2 or x = -3.\n</reasoning>\nFinal Answer: x = -2 or x = -3"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "A train travels at 182 km/h. How far does it travel in 10 hours and 46 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 46/60 = 10.7667 hours. Distance = speed × time = 182 × 10.7667 = 1959.5333 km.\n</reasoning>\nFinal Answer: 1959.5333"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 488 × 303"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 488 by 303: 488 × 303 = 147864.\n</reasoning>\nFinal Answer: 147864"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 13 and 44."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (13×44)/1 = 572.\n</reasoning>\nFinal Answer: 572"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 12/10 / 8/9"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/10) ÷ (8/9) = (12/10) × (9/8) = 27/20.\n</reasoning>\nFinal Answer: 27/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -164 ÷ 654"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -164 by 654. -164 ÷ 654 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 6 ** 2 - 10"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 6²=36, then 25+36-10=51.\n</reasoning>\nFinal Answer: 51"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 38 = 290"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 18x = 252. Divide by 18: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 902 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 902 × (1 + 60/100) = 902 × 1.6 = 1443.2.\n</reasoning>\nFinal Answer: 1443.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 31, 36 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (31+36) × 50 = 1675.0.\n</reasoning>\nFinal Answer: 1675.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -21 = 409"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 10x = 430. Divide by 10: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (30 + 37) * (4 - 6)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (30+37)=67, (4-6)=-2, then 67×-2=-134.\n</reasoning>\nFinal Answer: -134"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 416 + -206"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 416 and -206: 416 + -206 = 210.\n</reasoning>\nFinal Answer: 210"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 304 km apart. Their speeds are 67 km/h and 95 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 67+95=162 km/h. Time = 304/162 = 1.8765 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -360 ÷ -173"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -360 by -173. -360 ÷ -173 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:46 and A = 45, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/46, so B = A × (46/46) = 45 × 46/46 = 45.0.\n</reasoning>\nFinal Answer: 45.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 922 - -167"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -167 from 922: 922 - -167 = 1089.\n</reasoning>\nFinal Answer: 1089"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 * 15 + 10 * 22"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 30×15=450 and 10×22=220, then add: 670.\n</reasoning>\nFinal Answer: 670"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 469 - -287"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -287 from 469: 469 - -287 = 756.\n</reasoning>\nFinal Answer: 756"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 372 km apart. Their speeds are 71 km/h and 72 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 71+72=143 km/h. Time = 372/143 = 2.6014 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 6, 7, 10, 11, 13, 16, 18] and B = [2, 3, 11, 12, 14, 15, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [2, 11, 18].\n</reasoning>\nFinal Answer: [2, 11, 18]"
}... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 4 × -547"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 4 by -547: 4 × -547 = -2188.\n</reasoning>\nFinal Answer: -2188"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 91 and 115."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(91,115) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Given A = [6, 9, 15, 18] and B = [1, 7, 10, 11, 12, 13, 14, 15], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [6, 9, 18].\n</reasoning>\nFinal Answer: [6, 9, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 3/3 - 20/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/3 - 20/1. LCD = 1. Result = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 31 and width 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 31 × 2 = 62.\n</reasoning>\nFinal Answer: 62"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 46 ** 2 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 46²=2116, then 1+2116-3=2114.\n</reasoning>\nFinal Answer: 2114"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -68 + -345"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -68 and -345: -68 + -345 = -413.\n</reasoning>\nFinal Answer: -413"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/20 / 11/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/20) ÷ (11/19) = (7/20) × (19/11) = 133/220.\n</reasoning>\nFinal Answer: 133/220"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 4/17 / 17/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/17) ÷ (17/15) = (4/17) × (15/17) = 60/289.\n</reasoning>\nFinal Answer: 60/289"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (31 + 22) * (50 - 48)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (31+22)=53, (50-48)=2, then 53×2=106.\n</reasoning>\nFinal Answer: 106"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 15/1 * 15/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/1) × (15/11) = (225/11) = 225/11 after simplification.\n</reasoning>\nFinal Answer: 225/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [52, 22, 18, 7, 14, 45, 74, 43, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 367/9 = 40.7778.\n</reasoning>\nFinal Answer: 40.7778"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -610 + -718"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -610 and -718: -610 + -718 = -1328.\n</reasoning>\nFinal Answer: -1328"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -24 = 536"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 28x = 560. Divide by 28: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 37 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 50%: 37 × (1 + 50/100) = 37 × 1.5 = 55.5.\n</reasoning>\nFinal Answer: 55.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:42 and A = 21, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/42, so B = A × (42/46) = 21 × 42/46 = 19.1739.\n</reasoning>\nFinal Answer: 19.1739"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 14 and height 83."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 14 × 83 = 581.0.\n</reasoning>\nFinal Answer: 581.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 33 and height 65."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 33 × 65 = 1072.5.\n</reasoning>\nFinal Answer: 1072.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 162 km/h. How far does it travel in 9 hours and 34 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 34/60 = 9.5667 hours. Distance = speed × time = 162 × 9.5667 = 1549.8 km.\n</reasoning>\nFinal Answer: 1549.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 63 and width 30."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 63 × 30 = 1890.\n</reasoning>\nFinal Answer: 1890"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 168 km/h. How far does it travel in 12 hours and 39 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 39/60 = 12.6500 hours. Distance = speed × time = 168 × 12.6500 = 2125.2 km.\n</reasoning>\nFinal Answer: 2125.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 628 ÷ 586"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 628 by 586. 628 ÷ 586 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "309 is what percentage of 768?"
},
{
"role": "assistant",
"content": "<reasoning>\n(309/768) × 100 = 40.2344%.\n</reasoning>\nFinal Answer: 40.2344%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 12/6 + 15/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/6 + 15/16. Common denominator = 16. Result = 47/16.\n</reasoning>\nFinal Answer: 47/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (5 + 20) * (14 - 30)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (5+20)=25, (14-30)=-16, then 25×-16=-400.\n</reasoning>\nFinal Answer: -400"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 110 ÷ 230"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 110 by 230. 110 ÷ 230 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -45 = -58"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 13x = -13. Divide by 13: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 61 ÷ -561"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 61 by -561. 61 ÷ -561 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (4)x + (-80) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 4² - 4×4×-80 = 1296. √discriminant = 36. x = (-(4) ± 36) / (2×4). Solutions: x = -5 or x = 4.\n</reasoning>\nFinal Answer: x = -5 or x = 4"
}
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -617 - 170"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 170 from -617: -617 - 170 = -787.\n</reasoning>\nFinal Answer: -787"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 111 apples and buys 199 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 111 + 199 = 310.\n</reasoning>\nFinal Answer: 310"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 94 mod -358"
},
{
"role": "assistant",
"content": "<reasoning>\n94 mod -358: 94 = -358 × -1 + -264, so remainder = -264.\n</reasoning>\nFinal Answer: -264"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 97 and width 98."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 97 × 98 = 9506.\n</reasoning>\nFinal Answer: 9506"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 * 29 + 9 * 44"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 27×29=783 and 9×44=396, then add: 1179.\n</reasoning>\nFinal Answer: 1179"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 11/2 / 5/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/2) ÷ (5/4) = (11/2) × (4/5) = 22/5.\n</reasoning>\nFinal Answer: 22/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:41 and A = 19, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/41, so B = A × (41/31) = 19 × 41/31 = 25.129.\n</reasoning>\nFinal Answer: 25.129"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 24 = 186"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 18x = 162. Divide by 18: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 60 and width 45."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(60+45) = 2×105 = 210.\n</reasoning>\nFinal Answer: 210"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -179 ÷ 314"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -179 by 314. -179 ÷ 314 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (46 + 27) * (3 - 32)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (46+27)=73, (3-32)=-29, then 73×-29=-2117.\n</reasoning>\nFinal Answer: -2117"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 15/7 + 12/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/7 + 12/17. Common denominator = 119. Result = 339/119.\n</reasoning>\nFinal Answer: 339/119"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (16)x + (64) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 16² - 4×1×64 = 0. √discriminant = 0. x = (-(16) ± 0) / (2×1). Solutions: x = -8 (double root).\n</reasoning>\nFinal Answer: x = -8 (double root)... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 4/2 - 10/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/2 - 10/1. LCD = 1. Result = -8.\n</reasoning>\nFinal Answer: -8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -279 - 551"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 551 from -279: -279 - 551 = -830.\n</reasoning>\nFinal Answer: -830"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [24, 75, 98, 56, 20, 75, 27, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {24: 1, 75: 2, 98: 1, 56: 1, 20: 1, 27: 1, 23: 1}. Most frequent: 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 6/7 + 16/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/7 + 16/2. Common denominator = 7. Result = 62/7.\n</reasoning>\nFinal Answer: 62/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 25 ** 2 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 25²=625, then 30+625-12=643.\n</reasoning>\nFinal Answer: 643"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [24, 22, 86, 37, 58, 32, 18, 86, 68, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 529/10 = 52.9.\n</reasoning>\nFinal Answer: 52.9"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "What is 15% of 388?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 388 = (15/100) × 388 = 58.2.\n</reasoning>\nFinal Answer: 58.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [79, 68, 62, 73, 38, 36, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {79: 1, 68: 1, 62: 1, 73: 1, 38: 1, 36: 1, 3: 1}. Most frequent: [79, 68, 62, 73, 38, 36, 3].\n</reasoning>\nFinal Answer: [79, 68, 62, 73, 38, 36, 3... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 875 ÷ 500"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 875 by 500. 875 ÷ 500 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-1)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -1² - 4×1×0 = 1. √discriminant = 1. x = (-(-1) ± 1) / (2×1). Solutions: x = 0 or x = 1.\n</reasoning>\nFinal Answer: x = 0 or x = 1"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -908 + 668"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -908 and 668: -908 + 668 = -240.\n</reasoning>\nFinal Answer: -240"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 31 = 199"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 8x = 168. Divide by 8: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [1, 77, 83, 1, 68, 69, 61, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {1: 2, 77: 1, 83: 2, 68: 1, 69: 1, 61: 1}. Most frequent: [1, 83].\n</reasoning>\nFinal Answer: [1, 83]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "A train travels at 107 km/h. How far does it travel in 11 hours and 34 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 34/60 = 11.5667 hours. Distance = speed × time = 107 × 11.5667 = 1237.6333 km.\n</reasoning>\nFinal Answer: 1237.6333"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -9 = 359"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 16x = 368. Divide by 16: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "74 is what percentage of 182?"
},
{
"role": "assistant",
"content": "<reasoning>\n(74/182) × 100 = 40.6593%.\n</reasoning>\nFinal Answer: 40.6593%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Given A = [8, 9, 14] and B = [4, 12, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [4, 8, 9, 12, 14, 18].\n</reasoning>\nFinal Answer: [4, 8, 9, 12, 14, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 43, 31 and height 23."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (43+31) × 23 = 851.0.\n</reasoning>\nFinal Answer: 851.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 616 × -765"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 616 by -765: 616 × -765 = -471240.\n</reasoning>\nFinal Answer: -471240"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -459 + -485"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -459 and -485: -459 + -485 = -944.\n</reasoning>\nFinal Answer: -944"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:4 and A = 24, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/4, so B = A × (4/47) = 24 × 4/47 = 2.0426.\n</reasoning>\nFinal Answer: 2.0426"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 12 days. How many days will 12 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 12 = 120 worker-days. New time = 120 / 12 = 10.0 days.\n</reasoning>\nFinal Answer: 10.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 74 and height 83."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 74 × 83 = 6142.\n</reasoning>\nFinal Answer: 6142"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -50 = 1110"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 29x = 1160. Divide by 29: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -322 + -429"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -322 and -429: -322 + -429 = -751.\n</reasoning>\nFinal Answer: -751"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -468 ÷ -527"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -468 by -527. -468 ÷ -527 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹13476 at 2% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 13476 × 2 × 6 / 100 = 1617.12.\n</reasoning>\nFinal Answer: 1617.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 19/2 * 11/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/2) × (11/15) = (209/30) = 209/30 after simplification.\n</reasoning>\nFinal Answer: 209/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 11/20 / 8/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/20) ÷ (8/5) = (11/20) × (5/8) = 11/32.\n</reasoning>\nFinal Answer: 11/32"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (25 + 26) * (24 - 46)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (25+26)=51, (24-46)=-22, then 51×-22=-1122.\n</reasoning>\nFinal Answer: -1122"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 3/14 - 17/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/14 - 17/1. LCD = 14. Result = -235/14.\n</reasoning>\nFinal Answer: -235/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹364. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 364 × 28/100 = 101.92. Total = 364 + 101.92 = 465.92.\n</reasoning>\nFinal Answer: 465.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 99 km/h. How far does it travel in 7 hours and 5 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 5/60 = 7.0833 hours. Distance = speed × time = 99 × 7.0833 = 701.25 km.\n</reasoning>\nFinal Answer: 701.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 456."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 456 by smallest primes repeatedly: 456 = 2 × 2 × 2 × 3 × 19.\n</reasoning>\nFinal Answer: 2 × 2 × 2 × 3 × 19"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 42 and common difference 18, find the 18th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 42 + (18-1)×18 = 42 + 306 = 348.\n</reasoning>\nFinal Answer: 348"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
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