messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: 611 ÷ 745"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 611 by 745. 611 ÷ 745 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [71, 29, 77, 18, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 77 - 18 = 59.\n</reasoning>\nFinal Answer: 59"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -523 ÷ -786"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -523 by -786. -523 ÷ -786 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 * 39 + 3 * 2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 47×39=1833 and 3×2=6, then add: 1839.\n</reasoning>\nFinal Answer: 1839"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 602 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 602 × (1 + 100/100) = 602 × 2.0 = 1204.0.\n</reasoning>\nFinal Answer: 1204.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 154 km/h. How far does it travel in 11 hours and 31 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 31/60 = 11.5167 hours. Distance = speed × time = 154 × 11.5167 = 1773.5667 km.\n</reasoning>\nFinal Answer: 1773.5667"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [41, 60, 52, 69, 44, 47, 36, 19, 47, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 483/10 = 48.3.\n</reasoning>\nFinal Answer: 48.3"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -27 = 645"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 16x = 672. Divide by 16: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:15 and A = 93, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/15, so B = A × (15/10) = 93 × 15/10 = 139.5.\n</reasoning>\nFinal Answer: 139.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 137 and 49."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(137,49) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 209 mod 872"
},
{
"role": "assistant",
"content": "<reasoning>\n209 mod 872: 209 = 872 × 0 + 209, so remainder = 209.\n</reasoning>\nFinal Answer: 209"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [69, 61, 79, 24, 12, 50, 35, 96, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [12, 20, 24, 35, 50, 61, 69, 79, 96]. Middle value(s) → median = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 694 × -845"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 694 by -845: 694 × -845 = -586430.\n</reasoning>\nFinal Answer: -586430"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 6, 8, 10, 18] and B = [1, 6, 12], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [5, 8, 10, 18].\n</reasoning>\nFinal Answer: [5, 8, 10, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:47 and A = 89, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/47, so B = A × (47/16) = 89 × 47/16 = 261.4375.\n</reasoning>\nFinal Answer: 261.4375"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -663 - 277"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 277 from -663: -663 - 277 = -940.\n</reasoning>\nFinal Answer: -940"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 23 ** 2 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 23²=529, then 15+529-43=501.\n</reasoning>\nFinal Answer: 501"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:50 and A = 87, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/50, so B = A × (50/26) = 87 × 50/26 = 167.3077.\n</reasoning>\nFinal Answer: 167.3077"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 13, 14, 17] and B = [5, 7, 9, 10, 11, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 4, 13, 14, 17].\n</reasoning>\nFinal Answer: [2, 4, 13, 14, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [67, 93, 69, 30, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 30 = 63.\n</reasoning>\nFinal Answer: 63"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 * 31 + 17 * 8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 43×31=1333 and 17×8=136, then add: 1469.\n</reasoning>\nFinal Answer: 1469"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 40 = 124"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 4x = 84. Divide by 4: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 600 km apart. Their speeds are 113 km/h and 88 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 113+88=201 km/h. Time = 600/201 = 2.9851 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 1/8 * 1/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/8) × (1/6) = (1/48) = 1/48 after simplification.\n</reasoning>\nFinal Answer: 1/48"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 33 and height 20."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 33 × 20 = 660.\n</reasoning>\nFinal Answer: 660"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 144 and 79."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(144,79) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 785 ÷ -946"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 785 by -946. 785 ÷ -946 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -21 = -7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 7x = 14. Divide by 7: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 3/11 + 15/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/11 + 15/16. Common denominator = 176. Result = 213/176.\n</reasoning>\nFinal Answer: 213/176"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -22 = -326"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 8x = -304. Divide by 8: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 19, 29, and 31."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 19 + 29 + 31 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Decrease 45 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 45 × (1 - 35/100) = 45 × 0.65 = 29.25.\n</reasoning>\nFinal Answer: 29.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 19/9 - 11/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/9 - 11/5. LCD = 45. Result = -4/45.\n</reasoning>\nFinal Answer: -4/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 42 ** 2 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 42²=1764, then 27+1764-29=1762.\n</reasoning>\nFinal Answer: 1762"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [53, 4, 100, 69, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {53: 1, 4: 1, 100: 1, 69: 1, 51: 1}. Most frequent: [53, 4, 100, 69, 51].\n</reasoning>\nFinal Answer: [53, 4, 100, 69, 51]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 19/1 / 6/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/1) ÷ (6/18) = (19/1) × (18/6) = 57.\n</reasoning>\nFinal Answer: 57"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 180 apples and buys 137 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 180 + 137 = 317.\n</reasoning>\nFinal Answer: 317"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 * 17 + 44 * 7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 14×17=238 and 44×7=308, then add: 546.\n</reasoning>\nFinal Answer: 546"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 32 = 612"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 29x = 580. Divide by 29: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 470."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 470 by smallest primes repeatedly: 470 = 2 × 5 × 47.\n</reasoning>\nFinal Answer: 2 × 5 × 47"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 * 14 + 4 * 49"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 18×14=252 and 4×49=196, then add: 448.\n</reasoning>\nFinal Answer: 448"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 40 and common difference 6, find the 32th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 40 + (32-1)×6 = 40 + 186 = 226.\n</reasoning>\nFinal Answer: 226"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "An item costs ₹2492. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2492 × 12/100 = 299.04. Total = 2492 + 299.04 = 2791.04.\n</reasoning>\nFinal Answer: 2791.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 5/18 + 4/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/18 + 4/12. Common denominator = 18. Result = 11/18.\n</reasoning>\nFinal Answer: 11/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 7 and height 68."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 7 × 68 = 238.0.\n</reasoning>\nFinal Answer: 238.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -440 × -269"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -440 by -269: -440 × -269 = 118360.\n</reasoning>\nFinal Answer: 118360"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 69 and 180."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(69,180) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 89 and width 100."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 89 × 100 = 8900.\n</reasoning>\nFinal Answer: 8900"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:34 and A = 9, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/34, so B = A × (34/31) = 9 × 34/31 = 9.871.\n</reasoning>\nFinal Answer: 9.871"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 12/15 + 4/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/15 + 4/19. Common denominator = 95. Result = 96/95.\n</reasoning>\nFinal Answer: 96/95"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [2, 100, 98, 66, 80, 35, 79, 97, 56, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {2: 1, 100: 1, 98: 1, 66: 1, 80: 1, 35: 1, 79: 1, 97: 1, 56: 1, 85: 1}. Most frequent: [2, 100, 98, 66, 80, 35, 79, 97, 56, 85].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 294 km apart. Their speeds are 91 km/h and 55 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 91+55=146 km/h. Time = 294/146 = 2.0137 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 841 ÷ 699"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 841 by 699. 841 ÷ 699 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 157 km/h. How far does it travel in 12 hours and 11 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 11/60 = 12.1833 hours. Distance = speed × time = 157 × 12.1833 = 1912.7833 km.\n</reasoning>\nFinal Answer: 1912.7833"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 12/13 - 10/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/13 - 10/19. LCD = 247. Result = 98/247.\n</reasoning>\nFinal Answer: 98/247"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 450."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 450 by smallest primes repeatedly: 450 = 2 × 3 × 3 × 5 × 5.\n</reasoning>\nFinal Answer: 2 × 3 × 3 × 5 × 5"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 21 ** 2 - 36"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 21²=441, then 33+441-36=438.\n</reasoning>\nFinal Answer: 438"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 4, 45 and height 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (4+45) × 27 = 661.5.\n</reasoning>\nFinal Answer: 661.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [68, 52, 37, 16, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {68: 1, 52: 1, 37: 1, 16: 1, 64: 1}. Most frequent: [68, 52, 37, 16, 64].\n</reasoning>\nFinal Answer: [68, 52, 37, 16, 64]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 198 × 148"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 198 by 148: 198 × 148 = 29304.\n</reasoning>\nFinal Answer: 29304"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 + 37 ** 2 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 37²=1369, then 5+1369-34=1340.\n</reasoning>\nFinal Answer: 1340"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 30 * 42 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 30×42=1260, then 49+1260-29=1280.\n</reasoning>\nFinal Answer: 1280"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 25 ** 2 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 25²=625, then 38+625-42=621.\n</reasoning>\nFinal Answer: 621"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹3378. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3378 × 18/100 = 608.04. Total = 3378 + 608.04 = 3986.04.\n</reasoning>\nFinal Answer: 3986.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 6 * 24 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 6×24=144, then 37+144-37=144.\n</reasoning>\nFinal Answer: 144"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 652 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 652 × (1 - 40/100) = 652 × 0.6 = 391.2.\n</reasoning>\nFinal Answer: 391.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:26 and A = 82, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/26, so B = A × (26/29) = 82 × 26/29 = 73.5172.\n</reasoning>\nFinal Answer: 73.5172"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 7 and common difference 11, find the 17th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 7 + (17-1)×11 = 7 + 176 = 183.\n</reasoning>\nFinal Answer: 183"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 22 * 20 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 22×20=440, then 39+440-15=464.\n</reasoning>\nFinal Answer: 464"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 339 km apart. Their speeds are 106 km/h and 119 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 106+119=225 km/h. Time = 339/225 = 1.5067 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -8 = 512"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 26x = 520. Divide by 26: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 48 = -526"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 14x = -574. Divide by 14: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 51 - -74"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -74 from 51: 51 - -74 = 125.\n</reasoning>\nFinal Answer: 125"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 915 - -810"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -810 from 915: 915 - -810 = 1725.\n</reasoning>\nFinal Answer: 1725"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:31 and A = 41, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/31, so B = A × (31/47) = 41 × 31/47 = 27.0426.\n</reasoning>\nFinal Answer: 27.0426"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 193 km/h. How far does it travel in 9 hours and 39 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 39/60 = 9.6500 hours. Distance = speed × time = 193 × 9.6500 = 1862.45 km.\n</reasoning>\nFinal Answer: 1862.45"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 + 13 ** 2 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 13²=169, then 22+169-2=189.\n</reasoning>\nFinal Answer: 189"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 * 45 + 2 * 21"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 25×45=1125 and 2×21=42, then add: 1167.\n</reasoning>\nFinal Answer: 1167"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -230 × -914"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -230 by -914: -230 × -914 = 210220.\n</reasoning>\nFinal Answer: 210220"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 24 ** 2 - 23"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 24²=576, then 21+576-23=574.\n</reasoning>\nFinal Answer: 574"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 * 49 + 43 * 23"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 29×49=1421 and 43×23=989, then add: 2410.\n</reasoning>\nFinal Answer: 2410"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [92, 93, 100, 74, 54, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 54 = 46.\n</reasoning>\nFinal Answer: 46"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (19 + 3) * (48 - 19)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (19+3)=22, (48-19)=29, then 22×29=638.\n</reasoning>\nFinal Answer: 638"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 16/5 - 15/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/5 - 15/16. LCD = 80. Result = 181/80.\n</reasoning>\nFinal Answer: 181/80"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 5 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 5 = 75 worker-days. New time = 75 / 10 = 7.5 days.\n</reasoning>\nFinal Answer: 7.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 18/14 * 6/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/14) × (6/18) = (108/252) = 3/7 after simplification.\n</reasoning>\nFinal Answer: 3/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [39, 51, 74, 67, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [39, 51, 67, 74, 83]. Middle value(s) → median = 67.\n</reasoning>\nFinal Answer: 67"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:6 and A = 88, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/6, so B = A × (6/15) = 88 × 6/15 = 35.2.\n</reasoning>\nFinal Answer: 35.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:21 and A = 4, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/21, so B = A × (21/16) = 4 × 21/16 = 5.25.\n</reasoning>\nFinal Answer: 5.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (20 + 3) * (17 - 9)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (20+3)=23, (17-9)=8, then 23×8=184.\n</reasoning>\nFinal Answer: 184"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:20 and A = 7, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/20, so B = A × (20/12) = 7 × 20/12 = 11.6667.\n</reasoning>\nFinal Answer: 11.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 20 days. How many days will 12 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 20 = 140 worker-days. New time = 140 / 12 = 11.6667 days.\n</reasoning>\nFinal Answer: 11.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 4/12 / 13/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/12) ÷ (13/7) = (4/12) × (7/13) = 7/39.\n</reasoning>\nFinal Answer: 7/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -37 = -310"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 7x = -273. Divide by 7: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (19 + 5) * (16 - 42)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (19+5)=24, (16-42)=-26, then 24×-26=-624.\n</reasoning>\nFinal Answer: -624"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 5, 14] and B = [10, 11, 14, 18, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [14].\n</reasoning>\nFinal Answer: [14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹39457 at 8% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 39457 × 8 × 6 / 100 = 18939.36.\n</reasoning>\nFinal Answer: 18939.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -8 = -52"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 4x = -44. Divide by 4: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 681 ÷ 592"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 681 by 592. 681 ÷ 592 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -214 × -536"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -214 by -536: -214 × -536 = 114704.\n</reasoning>\nFinal Answer: 114704"
}
] | medium | [
"arithmetic",
"computation"
] |
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