messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 17x + 10 = 826"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 17x = 816. Divide by 17: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 10% of 384?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 384 = (10/100) × 384 = 38.4.\n</reasoning>\nFinal Answer: 38.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -208 × -262"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -208 by -262: -208 × -262 = 54496.\n</reasoning>\nFinal Answer: 54496"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/9 * 11/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/9) × (11/17) = (33/153) = 11/51 after simplification.\n</reasoning>\nFinal Answer: 11/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 792 km apart. Their speeds are 91 km/h and 44 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 91+44=135 km/h. Time = 792/135 = 5.8667 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹611. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 611 × 28/100 = 171.08. Total = 611 + 171.08 = 782.08.\n</reasoning>\nFinal Answer: 782.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -883 - -33"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from -883: -883 - -33 = -850.\n</reasoning>\nFinal Answer: -850"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 19/19 * 16/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/19) × (16/8) = (304/152) = 2 after simplification.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 27 ** 2 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 27²=729, then 36+729-40=725.\n</reasoning>\nFinal Answer: 725"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 25 and 6."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (25×6)/1 = 150.\n</reasoning>\nFinal Answer: 150"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -954 + 220"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -954 and 220: -954 + 220 = -734.\n</reasoning>\nFinal Answer: -734"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -12 = 222"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 13x = 234. Divide by 13: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 43 ** 2 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 43²=1849, then 44+1849-1=1892.\n</reasoning>\nFinal Answer: 1892"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 20 = -805"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 25x = -825. Divide by 25: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "8 is what percentage of 360?"
},
{
"role": "assistant",
"content": "<reasoning>\n(8/360) × 100 = 2.2222%.\n</reasoning>\nFinal Answer: 2.2222%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 8 and 12."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (8×12)/4 = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the range of: [89, 75, 61, 20, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 20 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "37 is what percentage of 72?"
},
{
"role": "assistant",
"content": "<reasoning>\n(37/72) × 100 = 51.3889%.\n</reasoning>\nFinal Answer: 51.3889%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the range of: [62, 71, 82, 91, 49, 57, 90, 92, 17]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 17 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "199 is what percentage of 858?"
},
{
"role": "assistant",
"content": "<reasoning>\n(199/858) × 100 = 23.1935%.\n</reasoning>\nFinal Answer: 23.1935%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 170 and 128."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(170,128) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -473 - -932"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -932 from -473: -473 - -932 = 459.\n</reasoning>\nFinal Answer: 459"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/6 - 17/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/6 - 17/19. LCD = 38. Result = -15/38.\n</reasoning>\nFinal Answer: -15/38"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 82 and height 20."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 82 × 20 = 820.0.\n</reasoning>\nFinal Answer: 820.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 48 and width 22."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(48+22) = 2×70 = 140.\n</reasoning>\nFinal Answer: 140"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (26)x + (60) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 26² - 4×2×60 = 196. √discriminant = 14. x = (-(26) ± 14) / (2×2). Solutions: x = -3 or x = -10.\n</reasoning>\nFinal Answer: x = -3 or x = -10"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "247 is what percentage of 427?"
},
{
"role": "assistant",
"content": "<reasoning>\n(247/427) × 100 = 57.8454%.\n</reasoning>\nFinal Answer: 57.8454%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mode of: [42, 33, 63, 37, 91, 15, 74, 25, 69, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {42: 1, 33: 1, 63: 1, 37: 1, 91: 1, 15: 1, 74: 1, 25: 1, 69: 1, 95: 1}. Most frequent: [42, 33, 63, 37, 91, 15, 74, 25, 69, 95].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mean of: [45, 5, 16, 2, 21, 44, 18, 2, 43, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 286/10 = 28.6.\n</reasoning>\nFinal Answer: 28.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 285 - -478"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -478 from 285: 285 - -478 = 763.\n</reasoning>\nFinal Answer: 763"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 40 and width 68."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 40 × 68 = 2720.\n</reasoning>\nFinal Answer: 2720"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -530 × -413"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -530 by -413: -530 × -413 = 218890.\n</reasoning>\nFinal Answer: 218890"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 199 apples and buys 35 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 199 + 35 = 234.\n</reasoning>\nFinal Answer: 234"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:14 and A = 4, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/14, so B = A × (14/44) = 4 × 14/44 = 1.2727.\n</reasoning>\nFinal Answer: 1.2727"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 1/13 + 15/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/13 + 15/13. Common denominator = 13. Result = 16/13.\n</reasoning>\nFinal Answer: 16/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 2/3 + 15/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/3 + 15/3. Common denominator = 3. Result = 17/3.\n</reasoning>\nFinal Answer: 17/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -43 ÷ 358"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -43 by 358. -43 ÷ 358 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 173 - -700"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -700 from 173: 173 - -700 = 873.\n</reasoning>\nFinal Answer: 873"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -54 mod -7"
},
{
"role": "assistant",
"content": "<reasoning>\n-54 mod -7: -54 = -7 × 7 + -5, so remainder = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 45% of 653?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 653 = (45/100) × 653 = 293.85.\n</reasoning>\nFinal Answer: 293.85"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 37, 34 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (37+34) × 28 = 994.0.\n</reasoning>\nFinal Answer: 994.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 7/11 - 19/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/11 - 19/8. LCD = 88. Result = -153/88.\n</reasoning>\nFinal Answer: -153/88"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 127 apples and buys 80 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 127 + 80 = 207.\n</reasoning>\nFinal Answer: 207"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 43 ** 2 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 43²=1849, then 15+1849-38=1826.\n</reasoning>\nFinal Answer: 1826"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -923 - -995"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -995 from -923: -923 - -995 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:19 and A = 76, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/19, so B = A × (19/48) = 76 × 19/48 = 30.0833.\n</reasoning>\nFinal Answer: 30.0833"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 972 × -694"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 972 by -694: 972 × -694 = -674568.\n</reasoning>\nFinal Answer: -674568"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 11 and 33."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (11×33)/11 = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -517 mod -355"
},
{
"role": "assistant",
"content": "<reasoning>\n-517 mod -355: -517 = -355 × 1 + -162, so remainder = -162.\n</reasoning>\nFinal Answer: -162"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 264 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 264 × (1 - 15/100) = 264 × 0.85 = 224.4.\n</reasoning>\nFinal Answer: 224.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (5 + 38) * (18 - 50)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (5+38)=43, (18-50)=-32, then 43×-32=-1376.\n</reasoning>\nFinal Answer: -1376"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -375 ÷ 243"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -375 by 243. -375 ÷ 243 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 150 × -234"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 150 by -234: 150 × -234 = -35100.\n</reasoning>\nFinal Answer: -35100"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [46, 97, 22, 97, 74, 33, 11, 60, 25, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 11 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 163 ÷ -438"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 163 by -438. 163 ÷ -438 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -39 = 51"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 18x = 90. Divide by 18: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -579 + -848"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -579 and -848: -579 + -848 = -1427.\n</reasoning>\nFinal Answer: -1427"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 409 mod 26"
},
{
"role": "assistant",
"content": "<reasoning>\n409 mod 26: 409 = 26 × 15 + 19, so remainder = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 81 and 65."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(81,65) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 30 = -122"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 4x = -152. Divide by 4: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 45% of 405?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 405 = (45/100) × 405 = 182.25.\n</reasoning>\nFinal Answer: 182.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 81 km/h. How far does it travel in 10 hours and 3 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 3/60 = 10.0500 hours. Distance = speed × time = 81 × 10.0500 = 814.05 km.\n</reasoning>\nFinal Answer: 814.05"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -12 = 40"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 13x = 52. Divide by 13: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 45 * 33 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 45×33=1485, then 33+1485-43=1475.\n</reasoning>\nFinal Answer: 1475"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 7, 42 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (7+42) × 28 = 686.0.\n</reasoning>\nFinal Answer: 686.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 19/13 / 2/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/13) ÷ (2/18) = (19/13) × (18/2) = 171/13.\n</reasoning>\nFinal Answer: 171/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 480 km apart. Their speeds are 51 km/h and 107 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 51+107=158 km/h. Time = 480/158 = 3.038 hours.\n</reasoning>\nFinal Answe... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Is 39 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n39 = 3 × 13, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Find the range of: [11, 69, 80, 75, 46, 52, 94, 98, 79, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 11 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -30 = 1080"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 30x = 1110. Divide by 30: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 63 and height 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 63 × 16 = 1008.\n</reasoning>\nFinal Answer: 1008"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 51 km/h. How far does it travel in 6 hours and 20 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 20/60 = 6.3333 hours. Distance = speed × time = 51 × 6.3333 = 323.0 km.\n</reasoning>\nFinal Answer: 323.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -947 - -921"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -921 from -947: -947 - -921 = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "500 is what percentage of 908?"
},
{
"role": "assistant",
"content": "<reasoning>\n(500/908) × 100 = 55.0661%.\n</reasoning>\nFinal Answer: 55.0661%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mean of: [19, 20, 63, 64, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 266/5 = 53.2.\n</reasoning>\nFinal Answer: 53.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 79 and height 52."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 79 × 52 = 4108.\n</reasoning>\nFinal Answer: 4108"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹18887 at 2% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 18887 × 2 × 10 / 100 = 3777.4.\n</reasoning>\nFinal Answer: 3777.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 6/6 - 11/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/6 - 11/5. LCD = 5. Result = -6/5.\n</reasoning>\nFinal Answer: -6/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 838 × 436"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 838 by 436: 838 × 436 = 365368.\n</reasoning>\nFinal Answer: 365368"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 188 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 188 × (1 - 50/100) = 188 × 0.5 = 94.0.\n</reasoning>\nFinal Answer: 94.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (31 + 11) * (37 - 48)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (31+11)=42, (37-48)=-11, then 42×-11=-462.\n</reasoning>\nFinal Answer: -462"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 987 - -517"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -517 from 987: 987 - -517 = 1504.\n</reasoning>\nFinal Answer: 1504"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [14, 34, 54, 74, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 14 and common difference 20. Next term = 94 + 20 = 114.\n</reasoning>\nFinal Answer: 114"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "A train travels at 79 km/h. How far does it travel in 8 hours and 48 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 48/60 = 8.8000 hours. Distance = speed × time = 79 × 8.8000 = 695.2 km.\n</reasoning>\nFinal Answer: 695.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 11, 13, and 18."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 11 + 13 + 18 = 42.\n</reasoning>\nFinal Answer: 42"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:3 and A = 98, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/3, so B = A × (3/1) = 98 × 3/1 = 294.0.\n</reasoning>\nFinal Answer: 294.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 34, 43 and height 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (34+43) × 44 = 1694.0.\n</reasoning>\nFinal Answer: 1694.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -2 = -1325"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -2 from both sides: 27x = -1323. Divide by 27: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [1, 94, 8, 11, 37, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {1: 1, 94: 1, 8: 1, 11: 1, 37: 1, 98: 1}. Most frequent: [1, 94, 8, 11, 37, 98].\n</reasoning>\nFinal Answer: [1, 94, 8, 11, 37, 98]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "What is 70% of 448?"
},
{
"role": "assistant",
"content": "<reasoning>\n70% of 448 = (70/100) × 448 = 313.6.\n</reasoning>\nFinal Answer: 313.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [83, 91, 94, 72, 32, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 32 = 62.\n</reasoning>\nFinal Answer: 62"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "26 is what percentage of 58?"
},
{
"role": "assistant",
"content": "<reasoning>\n(26/58) × 100 = 44.8276%.\n</reasoning>\nFinal Answer: 44.8276%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [24, 44, 64, 84, 104]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 24 and common difference 20. Next term = 104 + 20 = 124.\n</reasoning>\nFinal Answer: 124"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -40 × -705"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -40 by -705: -40 × -705 = 28200.\n</reasoning>\nFinal Answer: 28200"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 24, 50 and height 3."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (24+50) × 3 = 111.0.\n</reasoning>\nFinal Answer: 111.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 + 48 * 32 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 48×32=1536, then 14+1536-25=1525.\n</reasoning>\nFinal Answer: 1525"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [71, 71, 49, 44, 23, 15, 4, 66, 10, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 10, 15, 23, 44, 49, 66, 71, 71, 92]. Middle value(s) → median = 46.5.\n</reasoning>\nFinal Answer: 46.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 47 = 293"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 6x = 246. Divide by 6: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹11251 at 4% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 11251 × 4 × 3 / 100 = 1350.12.\n</reasoning>\nFinal Answer: 1350.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 4/5 * 20/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/5) × (20/15) = (80/75) = 16/15 after simplification.\n</reasoning>\nFinal Answer: 16/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
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