messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -813 × -613"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -813 by -613: -813 × -613 = 498369.\n</reasoning>\nFinal Answer: 498369"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹9718 at 19% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 9718 × 19 × 5 / 100 = 9232.1.\n</reasoning>\nFinal Answer: 9232.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "143 is what percentage of 159?"
},
{
"role": "assistant",
"content": "<reasoning>\n(143/159) × 100 = 89.9371%.\n</reasoning>\nFinal Answer: 89.9371%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the median of: [38, 97, 28, 84, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [28, 38, 62, 84, 97]. Middle value(s) → median = 62.\n</reasoning>\nFinal Answer: 62"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -682 mod 872"
},
{
"role": "assistant",
"content": "<reasoning>\n-682 mod 872: -682 = 872 × -1 + 190, so remainder = 190.\n</reasoning>\nFinal Answer: 190"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [1, 43, 72, 19, 5, 69, 24]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 72 - 1 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 80 and height 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 80 × 36 = 1440.0.\n</reasoning>\nFinal Answer: 1440.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 24 = 970"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 22x = 946. Divide by 22: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 14/4 - 5/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/4 - 5/9. LCD = 18. Result = 53/18.\n</reasoning>\nFinal Answer: 53/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 16 * 33 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 16×33=528, then 10+528-44=494.\n</reasoning>\nFinal Answer: 494"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹2278. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2278 × 28/100 = 637.84. Total = 2278 + 637.84 = 2915.84.\n</reasoning>\nFinal Answer: 2915.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (7 + 28) * (43 - 49)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (7+28)=35, (43-49)=-6, then 35×-6=-210.\n</reasoning>\nFinal Answer: -210"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -120 ÷ 877"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -120 by 877. -120 ÷ 877 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 + 14 * 48 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 14×48=672, then 28+672-20=680.\n</reasoning>\nFinal Answer: 680"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -865 mod -907"
},
{
"role": "assistant",
"content": "<reasoning>\n-865 mod -907: -865 = -907 × 0 + -865, so remainder = -865.\n</reasoning>\nFinal Answer: -865"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "89 is what percentage of 810?"
},
{
"role": "assistant",
"content": "<reasoning>\n(89/810) × 100 = 10.9877%.\n</reasoning>\nFinal Answer: 10.9877%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "A train travels at 69 km/h. How far does it travel in 4 hours and 22 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 22/60 = 4.3667 hours. Distance = speed × time = 69 × 4.3667 = 301.3 km.\n</reasoning>\nFinal Answer: 301.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 12 and common difference 7, find the 16th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 12 + (16-1)×7 = 12 + 105 = 117.\n</reasoning>\nFinal Answer: 117"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Ravi has 85 apples and buys 194 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 85 + 194 = 279.\n</reasoning>\nFinal Answer: 279"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 19/15 - 12/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/15 - 12/1. LCD = 15. Result = -161/15.\n</reasoning>\nFinal Answer: -161/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -615 - 700"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 700 from -615: -615 - 700 = -1315.\n</reasoning>\nFinal Answer: -1315"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -563 + -425"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -563 and -425: -563 + -425 = -988.\n</reasoning>\nFinal Answer: -988"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 74 km/h. How far does it travel in 9 hours and 56 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 56/60 = 9.9333 hours. Distance = speed × time = 74 × 9.9333 = 735.0667 km.\n</reasoning>\nFinal Answer: 735.0667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 12] and B = [8, 11, 17, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 4, 8, 11, 12, 17, 18].\n</reasoning>\nFinal Answer: [2, 4, 8, 11, 12, 17, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 449 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 449 × (1 + 12/100) = 449 × 1.12 = 502.88.\n</reasoning>\nFinal Answer: 502.88"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 12 and 133."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(12,133) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "637 is what percentage of 861?"
},
{
"role": "assistant",
"content": "<reasoning>\n(637/861) × 100 = 73.9837%.\n</reasoning>\nFinal Answer: 73.9837%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 4 and 7."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (4×7)/1 = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:22 and A = 78, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/22, so B = A × (22/6) = 78 × 22/6 = 286.0.\n</reasoning>\nFinal Answer: 286.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -636 - 410"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 410 from -636: -636 - 410 = -1046.\n</reasoning>\nFinal Answer: -1046"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 91 km/h. How far does it travel in 1 hours and 18 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 18/60 = 1.3000 hours. Distance = speed × time = 91 × 1.3000 = 118.3 km.\n</reasoning>\nFinal Answer: 118.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -35 = 46"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 3x = 81. Divide by 3: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 17 = 17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 16x = 0. Divide by 16: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -17 = 811"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 18x = 828. Divide by 18: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [71, 100, 48, 56, 11, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {71: 1, 100: 1, 48: 1, 56: 1, 11: 1, 73: 1}. Most frequent: [71, 100, 48, 56, 11, 73].\n</reasoning>\nFinal Answer: [71, 100, 48, 56, 11, 73]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 18, 16 and height 41."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (18+16) × 41 = 697.0.\n</reasoning>\nFinal Answer: 697.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 482 + 360"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 482 and 360: 482 + 360 = 842.\n</reasoning>\nFinal Answer: 842"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 952 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 952 × (1 + 75/100) = 952 × 1.75 = 1666.0.\n</reasoning>\nFinal Answer: 1666.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 340 ÷ 675"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 340 by 675. 340 ÷ 675 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 10, 12, 14, 15, 16, 17, 19] and B = [1, 5, 13, 14], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 5, 10, 12, 13, 14, 15, 16, 17, 19].\n</reasoning>\nFinal Answer: [1, 5, 10,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 * 49 + 7 * 46"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 18×49=882 and 7×46=322, then add: 1204.\n</reasoning>\nFinal Answer: 1204"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 503 mod -136"
},
{
"role": "assistant",
"content": "<reasoning>\n503 mod -136: 503 = -136 × -4 + -41, so remainder = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [22, 42, 90, 95, 92, 75, 13, 95, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 549/9 = 61.0.\n</reasoning>\nFinal Answer: 61.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (15)x + (-90) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 15² - 4×5×-90 = 2025. √discriminant = 45. x = (-(15) ± 45) / (2×5). Solutions: x = 3 or x = -6.\n</reasoning>\nFinal Answer: x = 3 or x = -6"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -141 - -17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from -141: -141 - -17 = -124.\n</reasoning>\nFinal Answer: -124"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 28, 30 and height 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (28+30) × 15 = 435.0.\n</reasoning>\nFinal Answer: 435.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:2 and A = 88, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/2, so B = A × (2/34) = 88 × 2/34 = 5.1765.\n</reasoning>\nFinal Answer: 5.1765"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 14 = -211"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 9x = -225. Divide by 9: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 616 mod 502"
},
{
"role": "assistant",
"content": "<reasoning>\n616 mod 502: 616 = 502 × 1 + 114, so remainder = 114.\n</reasoning>\nFinal Answer: 114"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-22)x + (56) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -22² - 4×2×56 = 36. √discriminant = 6. x = (-(-22) ± 6) / (2×2). Solutions: x = 4 or x = 7.\n</reasoning>\nFinal Answer: x = 4 or x = 7"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 7/2 / 3/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/2) ÷ (3/1) = (7/2) × (1/3) = 7/6.\n</reasoning>\nFinal Answer: 7/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 39 and 25."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (39×25)/1 = 975.\n</reasoning>\nFinal Answer: 975"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -772 + 876"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -772 and 876: -772 + 876 = 104.\n</reasoning>\nFinal Answer: 104"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (12 + 42) * (37 - 35)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (12+42)=54, (37-35)=2, then 54×2=108.\n</reasoning>\nFinal Answer: 108"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 363 km apart. Their speeds are 81 km/h and 66 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 81+66=147 km/h. Time = 363/147 = 2.4694 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:41 and A = 87, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/41, so B = A × (41/24) = 87 × 41/24 = 148.625.\n</reasoning>\nFinal Answer: 148.625"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -465 × -442"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -465 by -442: -465 × -442 = 205530.\n</reasoning>\nFinal Answer: 205530"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 200 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 200 × (1 - 35/100) = 200 × 0.65 = 130.0.\n</reasoning>\nFinal Answer: 130.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:39 and A = 15, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/39, so B = A × (39/21) = 15 × 39/21 = 27.8571.\n</reasoning>\nFinal Answer: 27.8571"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 70% of 190?"
},
{
"role": "assistant",
"content": "<reasoning>\n70% of 190 = (70/100) × 190 = 133.0.\n</reasoning>\nFinal Answer: 133.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -17 = -1457"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 30x = -1440. Divide by 30: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [39, 68, 87, 29, 25, 9, 71, 22, 43, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 22, 25, 29, 39, 43, 68, 71, 78, 87]. Middle value(s) → median = 41.0.\n</reasoning>\nFinal Answer: 41.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -49 ÷ -858"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -49 by -858. -49 ÷ -858 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "711 is what percentage of 896?"
},
{
"role": "assistant",
"content": "<reasoning>\n(711/896) × 100 = 79.3527%.\n</reasoning>\nFinal Answer: 79.3527%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -23 mod -681"
},
{
"role": "assistant",
"content": "<reasoning>\n-23 mod -681: -23 = -681 × 0 + -23, so remainder = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 24 = 464"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 11x = 440. Divide by 11: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 35 = -97"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 3x = -132. Divide by 3: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 28 = 358"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 10x = 330. Divide by 10: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:29 and A = 50, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/29, so B = A × (29/35) = 50 × 29/35 = 41.4286.\n</reasoning>\nFinal Answer: 41.4286"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 20/10 - 12/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/10 - 12/18. LCD = 3. Result = 4/3.\n</reasoning>\nFinal Answer: 4/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -179 mod -462"
},
{
"role": "assistant",
"content": "<reasoning>\n-179 mod -462: -179 = -462 × 0 + -179, so remainder = -179.\n</reasoning>\nFinal Answer: -179"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [30, 37, 40, 100, 47, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 348/6 = 58.0.\n</reasoning>\nFinal Answer: 58.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -933 × -630"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -933 by -630: -933 × -630 = 587790.\n</reasoning>\nFinal Answer: 587790"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 39 and common difference 1, find the 17th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 39 + (17-1)×1 = 39 + 16 = 55.\n</reasoning>\nFinal Answer: 55"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Decrease 457 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 457 × (1 - 3/100) = 457 × 0.97 = 443.29.\n</reasoning>\nFinal Answer: 443.29"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 7/4 + 18/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/4 + 18/8. Common denominator = 4. Result = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "274 is what percentage of 309?"
},
{
"role": "assistant",
"content": "<reasoning>\n(274/309) × 100 = 88.6731%.\n</reasoning>\nFinal Answer: 88.6731%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "487 is what percentage of 524?"
},
{
"role": "assistant",
"content": "<reasoning>\n(487/524) × 100 = 92.9389%.\n</reasoning>\nFinal Answer: 92.9389%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Decrease 657 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 657 × (1 - 100/100) = 657 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹42655 at 10% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 42655 × 10 × 1 / 100 = 4265.5.\n</reasoning>\nFinal Answer: 4265.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [18, 51, 45, 95, 90, 35, 24]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 18 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:33 and A = 56, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/33, so B = A × (33/5) = 56 × 33/5 = 369.6.\n</reasoning>\nFinal Answer: 369.6"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:32 and A = 3, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/32, so B = A × (32/29) = 3 × 32/29 = 3.3103.\n</reasoning>\nFinal Answer: 3.3103"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 39 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 39 × 45 = 877.5.\n</reasoning>\nFinal Answer: 877.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -34 + -288"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -34 and -288: -34 + -288 = -322.\n</reasoning>\nFinal Answer: -322"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 143 apples and buys 156 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 143 + 156 = 299.\n</reasoning>\nFinal Answer: 299"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -9 - 404"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 404 from -9: -9 - 404 = -413.\n</reasoning>\nFinal Answer: -413"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 39 - 309"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 309 from 39: 39 - 309 = -270.\n</reasoning>\nFinal Answer: -270"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 124 × -570"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 124 by -570: 124 × -570 = -70680.\n</reasoning>\nFinal Answer: -70680"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 118 and 117."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(118,117) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹4591 at 3% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 4591 × 3 × 6 / 100 = 826.38.\n</reasoning>\nFinal Answer: 826.38"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 5, 11, 15] and B = [2, 3, 6, 11, 12, 13, 17, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 5, 15].\n</reasoning>\nFinal Answer: [4, 5, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 363 - 452"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 452 from 363: 363 - 452 = -89.\n</reasoning>\nFinal Answer: -89"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -396 mod 137"
},
{
"role": "assistant",
"content": "<reasoning>\n-396 mod 137: -396 = 137 × -3 + 15, so remainder = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 89 and height 65."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 89 × 65 = 2892.5.\n</reasoning>\nFinal Answer: 2892.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 5 and height 94."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 5 × 94 = 235.0.\n</reasoning>\nFinal Answer: 235.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 243 ÷ -14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 243 by -14. 243 ÷ -14 = -18 (integer division).\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -31 = -640"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 29x = -609. Divide by 29: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹23043 at 5% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 23043 × 5 × 9 / 100 = 10369.35.\n</reasoning>\nFinal Answer: 10369.35"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 + 10 ** 2 - 49"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 10²=100, then 7+100-49=58.\n</reasoning>\nFinal Answer: 58"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
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