messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 89 and width 62."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(89+62) = 2×151 = 302.\n</reasoning>\nFinal Answer: 302"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 * 11 + 7 * 13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 46×11=506 and 7×13=91, then add: 597.\n</reasoning>\nFinal Answer: 597"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:1 and A = 85, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/1, so B = A × (1/27) = 85 × 1/27 = 3.1481.\n</reasoning>\nFinal Answer: 3.1481"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:15 and A = 77, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/15, so B = A × (15/41) = 77 × 15/41 = 28.1707.\n</reasoning>\nFinal Answer: 28.1707"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 74 apples and buys 10 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 74 + 10 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 20 = -316"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 14x = -336. Divide by 14: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "69 is what percentage of 105?"
},
{
"role": "assistant",
"content": "<reasoning>\n(69/105) × 100 = 65.7143%.\n</reasoning>\nFinal Answer: 65.7143%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Decrease 574 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 574 × (1 - 100/100) = 574 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 158 ÷ -459"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 158 by -459. 158 ÷ -459 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 24, 28, and 32."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 24 + 28 + 32 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 49 and common difference 18, find the 28th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 49 + (28-1)×18 = 49 + 486 = 535.\n</reasoning>\nFinal Answer: 535"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the median of: [73, 35, 16, 36, 70, 10, 44, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 16, 25, 35, 36, 44, 70, 73]. Middle value(s) → median = 35.5.\n</reasoning>\nFinal Answer: 35.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Increase 212 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 212 × (1 + 35/100) = 212 × 1.35 = 286.2.\n</reasoning>\nFinal Answer: 286.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 500 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 500 × (1 - 30/100) = 500 × 0.7 = 350.0.\n</reasoning>\nFinal Answer: 350.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 36 and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (36×35)/1 = 1260.\n</reasoning>\nFinal Answer: 1260"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -846 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from -846: -846 - 12 = -858.\n</reasoning>\nFinal Answer: -858"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 31 ** 2 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 31²=961, then 27+961-44=944.\n</reasoning>\nFinal Answer: 944"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 8/20 - 18/11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/20 - 18/11. LCD = 55. Result = -68/55.\n</reasoning>\nFinal Answer: -68/55"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -553 ÷ -296"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -553 by -296. -553 ÷ -296 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -13 = 327"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 17x = 340. Divide by 17: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [62, 68, 14, 5, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 70 - 5 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 + 31 ** 2 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 31²=961, then 35+961-3=993.\n</reasoning>\nFinal Answer: 993"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 48 ** 2 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 48²=2304, then 11+2304-37=2278.\n</reasoning>\nFinal Answer: 2278"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Is 20 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n20 = 2 × 10, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (39)x + (126) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 39² - 4×3×126 = 9. √discriminant = 3. x = (-(39) ± 3) / (2×3). Solutions: x = -6 or x = -7.\n</reasoning>\nFinal Answer: x = -6 or x = -7"
}
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -796 ÷ 457"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -796 by 457. -796 ÷ 457 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 51 and width 48."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(51+48) = 2×99 = 198.\n</reasoning>\nFinal Answer: 198"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "A train travels at 110 km/h. How far does it travel in 5 hours and 6 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 6/60 = 5.1000 hours. Distance = speed × time = 110 × 5.1000 = 561.0 km.\n</reasoning>\nFinal Answer: 561.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -9 = 55"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 8x = 64. Divide by 8: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -38 = -899"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 21x = -861. Divide by 21: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -195 × 865"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -195 by 865: -195 × 865 = -168675.\n</reasoning>\nFinal Answer: -168675"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/19 + 15/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/19 + 15/15. Common denominator = 19. Result = 23/19.\n</reasoning>\nFinal Answer: 23/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 633 mod 965"
},
{
"role": "assistant",
"content": "<reasoning>\n633 mod 965: 633 = 965 × 0 + 633, so remainder = 633.\n</reasoning>\nFinal Answer: 633"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -525 ÷ 370"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -525 by 370. -525 ÷ 370 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 154 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 154 × (1 + 10/100) = 154 × 1.1 = 169.4.\n</reasoning>\nFinal Answer: 169.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -97 - 908"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 908 from -97: -97 - 908 = -1005.\n</reasoning>\nFinal Answer: -1005"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 79 km/h. How far does it travel in 5 hours and 45 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 45/60 = 5.7500 hours. Distance = speed × time = 79 × 5.7500 = 454.25 km.\n</reasoning>\nFinal Answer: 454.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [69, 93, 52, 59, 20, 47, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 401/7 = 57.2857.\n</reasoning>\nFinal Answer: 57.2857"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -139 × -761"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -139 by -761: -139 × -761 = 105779.\n</reasoning>\nFinal Answer: 105779"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/16 / 17/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/16) ÷ (17/2) = (12/16) × (2/17) = 3/34.\n</reasoning>\nFinal Answer: 3/34"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "List all positive factors of 13."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 13: factors are [1, 13].\n</reasoning>\nFinal Answer: [1, 13]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 42 = 144"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 17x = 102. Divide by 17: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (37 + 48) * (46 - 13)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (37+48)=85, (46-13)=33, then 85×33=2805.\n</reasoning>\nFinal Answer: 2805"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [11, 21, 51, 59, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 74 - 11 = 63.\n</reasoning>\nFinal Answer: 63"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 624 mod 741"
},
{
"role": "assistant",
"content": "<reasoning>\n624 mod 741: 624 = 741 × 0 + 624, so remainder = 624.\n</reasoning>\nFinal Answer: 624"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 5, 6, 8, 10, 11, 19] and B = [6, 9, 10, 11, 14, 15], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [6, 10, 11].\n</reasoning>\nFinal Answer: [6, 10, 11]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 58 and width 14."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 58 × 14 = 812.\n</reasoning>\nFinal Answer: 812"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 47 apples and buys 109 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 47 + 109 = 156.\n</reasoning>\nFinal Answer: 156"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 310 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 310 × (1 - 75/100) = 310 × 0.25 = 77.5.\n</reasoning>\nFinal Answer: 77.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 3% of 493?"
},
{
"role": "assistant",
"content": "<reasoning>\n3% of 493 = (3/100) × 493 = 14.79.\n</reasoning>\nFinal Answer: 14.79"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 31 + -339"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 31 and -339: 31 + -339 = -308.\n</reasoning>\nFinal Answer: -308"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 1 = 120"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 17x = 119. Divide by 17: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 597 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 597 × (1 - 90/100) = 597 × 0.09999999999999998 = 59.7.\n</reasoning>\nFinal Answer: 59.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 8, 9, 13, 14, 17, 18, 19] and B = [4, 9, 12], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 4, 8, 12, 13, 14, 17, 18, 19].\n</reasoning>\nFin... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [9, 10, 11, 15, 16, 17] and B = [3, 7, 8, 9, 11, 12, 15, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [9, 11, 15, 17].\n</reasoning>\nFinal Answer: [9, 11, 15, 17]"... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 22, 7 and height 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (22+7) × 36 = 522.0.\n</reasoning>\nFinal Answer: 522.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 5/11 + 4/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/11 + 4/10. Common denominator = 55. Result = 47/55.\n</reasoning>\nFinal Answer: 47/55"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [42, 68, 53, 59, 78, 74, 51, 98, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {42: 1, 68: 1, 53: 1, 59: 1, 78: 1, 74: 1, 51: 1, 98: 1, 47: 1}. Most frequent: [42, 68, 53, 59, 78, 74, 51, 98, 47].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 626 × 72"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 626 by 72: 626 × 72 = 45072.\n</reasoning>\nFinal Answer: 45072"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "106 is what percentage of 602?"
},
{
"role": "assistant",
"content": "<reasoning>\n(106/602) × 100 = 17.608%.\n</reasoning>\nFinal Answer: 17.608%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mode of: [89, 26, 90, 55, 52, 43, 65, 21, 51, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {89: 1, 26: 1, 90: 1, 55: 1, 52: 1, 43: 1, 65: 1, 21: 1, 51: 1, 66: 1}. Most frequent: [89, 26, 90, 55, 52, 43, 65, 21, 51, 66].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -143 - -32"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from -143: -143 - -32 = -111.\n</reasoning>\nFinal Answer: -111"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 278 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 278 × (1 - 100/100) = 278 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 45 and common difference 9, find the 29th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 45 + (29-1)×9 = 45 + 252 = 297.\n</reasoning>\nFinal Answer: 297"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹4490 at 14% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 4490 × 14 × 2 / 100 = 1257.2.\n</reasoning>\nFinal Answer: 1257.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹15062 at 11% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 15062 × 11 × 8 / 100 = 13254.56.\n</reasoning>\nFinal Answer: 13254.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 418 ÷ 567"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 418 by 567. 418 ÷ 567 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [6, 7, 14, 18, 19] and B = [7, 9, 11, 12], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [6, 7, 9, 11, 12, 14, 18, 19].\n</reasoning>\nFinal Answer: [6, 7, 9, 11, 12, 14, 18, 19]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -11 = -243"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 29x = -232. Divide by 29: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 35 = -195"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 5x = -230. Divide by 5: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 230 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 230 × (1 + 25/100) = 230 × 1.25 = 287.5.\n</reasoning>\nFinal Answer: 287.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 3/4 / 12/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/4) ÷ (12/7) = (3/4) × (7/12) = 7/16.\n</reasoning>\nFinal Answer: 7/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the circumference of a circle with radius 45. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nCircumference = 2πr = 2 × π × 45 ≈ 282.7433.\n</reasoning>\nFinal Answer: 282.7433"
}
] | easy | [
"geometry",
"circumference"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 20, 27 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (20+27) × 28 = 658.0.\n</reasoning>\nFinal Answer: 658.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 14/11 / 17/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/11) ÷ (17/10) = (14/11) × (10/17) = 140/187.\n</reasoning>\nFinal Answer: 140/187"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 150 × -553"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 150 by -553: 150 × -553 = -82950.\n</reasoning>\nFinal Answer: -82950"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 44 and common difference 10, find the 31th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 44 + (31-1)×10 = 44 + 300 = 344.\n</reasoning>\nFinal Answer: 344"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Decrease 553 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 553 × (1 - 5/100) = 553 × 0.95 = 525.35.\n</reasoning>\nFinal Answer: 525.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 * 11 + 2 * 44"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 31×11=341 and 2×44=88, then add: 429.\n</reasoning>\nFinal Answer: 429"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 40 and height 3."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 40 × 3 = 60.0.\n</reasoning>\nFinal Answer: 60.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:24 and A = 60, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/24, so B = A × (24/10) = 60 × 24/10 = 144.0.\n</reasoning>\nFinal Answer: 144.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -42 = -162"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 3x = -120. Divide by 3: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 77 and height 18."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 77 × 18 = 693.0.\n</reasoning>\nFinal Answer: 693.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 20/6 - 1/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/6 - 1/16. LCD = 48. Result = 157/48.\n</reasoning>\nFinal Answer: 157/48"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹41451 at 8% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 41451 × 8 × 4 / 100 = 13264.32.\n</reasoning>\nFinal Answer: 13264.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -348 ÷ 225"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -348 by 225. -348 ÷ 225 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 25 ** 2 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 25²=625, then 31+625-28=628.\n</reasoning>\nFinal Answer: 628"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 * 17 + 33 * 18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 23×17=391 and 33×18=594, then add: 985.\n</reasoning>\nFinal Answer: 985"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 5/3 + 11/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/3 + 11/4. Common denominator = 12. Result = 53/12.\n</reasoning>\nFinal Answer: 53/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 17, 32 and height 41."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (17+32) × 41 = 1004.5.\n</reasoning>\nFinal Answer: 1004.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [54, 21, 52, 51, 89, 72, 77, 89, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [21, 51, 52, 54, 72, 77, 80, 89, 89]. Middle value(s) → median = 72.\n</reasoning>\nFinal Answer: 72"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -40 = -180"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 14x = -140. Divide by 14: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 38 * 5 - 18"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 38×5=190, then 19+190-18=191.\n</reasoning>\nFinal Answer: 191"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:12 and A = 90, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/12, so B = A × (12/8) = 90 × 12/8 = 135.0.\n</reasoning>\nFinal Answer: 135.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 18 = 146"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 4x = 128. Divide by 4: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -49 = 206"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 17x = 255. Divide by 17: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 18 and width 53."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(18+53) = 2×71 = 142.\n</reasoning>\nFinal Answer: 142"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 463 mod -590"
},
{
"role": "assistant",
"content": "<reasoning>\n463 mod -590: 463 = -590 × -1 + -127, so remainder = -127.\n</reasoning>\nFinal Answer: -127"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 38 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 38 × (1 - 3/100) = 38 × 0.97 = 36.86.\n</reasoning>\nFinal Answer: 36.86"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the circumference of a circle with radius 34. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nCircumference = 2πr = 2 × π × 34 ≈ 213.6283.\n</reasoning>\nFinal Answer: 213.6283"
}
] | easy | [
"geometry",
"circumference"
] |
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