messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 16/11 + 20/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/11 + 20/6. Common denominator = 33. Result = 158/33.\n</reasoning>\nFinal Answer: 158/33"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 35 = -85"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 20x = -120. Divide by 20: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -178 + 262"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -178 and 262: -178 + 262 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 82 and height 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 82 × 35 = 1435.0.\n</reasoning>\nFinal Answer: 1435.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [62, 42, 43, 74, 66, 44, 40, 34, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 34, 40, 42, 43, 44, 62, 66, 74]. Middle value(s) → median = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 23 = -337"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 30x = -360. Divide by 30: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹648. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 648 × 5/100 = 32.4. Total = 648 + 32.4 = 680.4.\n</reasoning>\nFinal Answer: 680.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "408 is what percentage of 910?"
},
{
"role": "assistant",
"content": "<reasoning>\n(408/910) × 100 = 44.8352%.\n</reasoning>\nFinal Answer: 44.8352%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Given A = [5, 9, 10, 12, 13, 14] and B = [1, 2, 8, 10, 11, 12], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 5, 8, 9, 10, 11, 12, 13, 14].\n</reasoning>\nFinal Answer: [1, 2, 5, 8, 9,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 29 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 29 = 232 worker-days. New time = 232 / 20 = 11.6 days.\n</reasoning>\nFinal Answer: 11.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 35 and width 86."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(35+86) = 2×121 = 242.\n</reasoning>\nFinal Answer: 242"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 3/11 - 9/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/11 - 9/16. LCD = 176. Result = -51/176.\n</reasoning>\nFinal Answer: -51/176"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 39 = 151"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 16x = 112. Divide by 16: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -176 mod -455"
},
{
"role": "assistant",
"content": "<reasoning>\n-176 mod -455: -176 = -455 × 0 + -176, so remainder = -176.\n</reasoning>\nFinal Answer: -176"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 10 and 10."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (10×10)/10 = 10.\n</reasoning>\nFinal Answer: 10"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [5, 15, 25, 35, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 5 and common difference 10. Next term = 45 + 10 = 55.\n</reasoning>\nFinal Answer: 55"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 11/20 * 14/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/20) × (14/11) = (154/220) = 7/10 after simplification.\n</reasoning>\nFinal Answer: 7/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 314 ÷ -665"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 314 by -665. 314 ÷ -665 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [4, 6, 10, 16, 19] and B = [1, 6, 12, 14, 18, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 4, 10, 12, 14, 16, 18].\n</reasoning>\nFinal Ans... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:37 and A = 58, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/37, so B = A × (37/31) = 58 × 37/31 = 69.2258.\n</reasoning>\nFinal Answer: 69.2258"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 41 and height 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 41 × 15 = 307.5.\n</reasoning>\nFinal Answer: 307.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 2 and height 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 2 × 10 = 20.\n</reasoning>\nFinal Answer: 20"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 5 and width 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 5 × 39 = 195.\n</reasoning>\nFinal Answer: 195"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -769 ÷ 406"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -769 by 406. -769 ÷ 406 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 450 × 767"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 450 by 767: 450 × 767 = 345150.\n</reasoning>\nFinal Answer: 345150"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 2 and common difference 3, find the 37th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 2 + (37-1)×3 = 2 + 108 = 110.\n</reasoning>\nFinal Answer: 110"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 * 10 + 27 * 19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 8×10=80 and 27×19=513, then add: 593.\n</reasoning>\nFinal Answer: 593"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:8 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/8, so B = A × (8/28) = 74 × 8/28 = 21.1429.\n</reasoning>\nFinal Answer: 21.1429"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹31181 at 19% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 31181 × 19 × 3 / 100 = 17773.17.\n</reasoning>\nFinal Answer: 17773.17"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 * 3 + 23 * 40"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 35×3=105 and 23×40=920, then add: 1025.\n</reasoning>\nFinal Answer: 1025"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 99 and height 77."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 99 × 77 = 3811.5.\n</reasoning>\nFinal Answer: 3811.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 26 and height 86."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 26 × 86 = 2236.\n</reasoning>\nFinal Answer: 2236"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 907 km apart. Their speeds are 103 km/h and 120 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 103+120=223 km/h. Time = 907/223 = 4.0673 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 7, 10, 15] and B = [3, 10, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 3, 7, 15, 19].\n</reasoning>\nFinal Answer: [1, 2, 3, 7, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 10/5 / 17/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/5) ÷ (17/1) = (10/5) × (1/17) = 2/17.\n</reasoning>\nFinal Answer: 2/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [9, 15, 17] and B = [1, 3, 8, 14, 16, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [].\n</reasoning>\nFinal Answer: []"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 65 and height 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 65 × 12 = 390.0.\n</reasoning>\nFinal Answer: 390.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -48 = -148"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 2x = -100. Divide by 2: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 700 × 677"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 700 by 677: 700 × 677 = 473900.\n</reasoning>\nFinal Answer: 473900"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 50 = 56"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 3x = 6. Divide by 3: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 33 = 114"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 3x = 81. Divide by 3: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [15, 55, 79, 86, 2, 42, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 2 = 98.\n</reasoning>\nFinal Answer: 98"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (15)x + (18) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 15² - 4×3×18 = 9. √discriminant = 3. x = (-(15) ± 3) / (2×3). Solutions: x = -2 or x = -3.\n</reasoning>\nFinal Answer: x = -2 or x = -3"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 17/1 * 20/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/1) × (20/14) = (340/14) = 170/7 after simplification.\n</reasoning>\nFinal Answer: 170/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [76, 12, 53, 57, 34, 72]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 304/6 = 50.6667.\n</reasoning>\nFinal Answer: 50.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 42 = -441"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 23x = -483. Divide by 23: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [4, 9, 11, 12, 13] and B = [1, 2, 3, 4, 14, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [4].\n</reasoning>\nFinal Answer: [4]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 9 * 19 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 9×19=171, then 33+171-45=159.\n</reasoning>\nFinal Answer: 159"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹4755. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4755 × 18/100 = 855.9. Total = 4755 + 855.9 = 5610.9.\n</reasoning>\nFinal Answer: 5610.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -27 = 181"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 16x = 208. Divide by 16: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 823 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 823 × (1 - 70/100) = 823 × 0.30000000000000004 = 246.9.\n</reasoning>\nFinal Answer: 246.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-40)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -40² - 4×4×0 = 1600. √discriminant = 40. x = (-(-40) ± 40) / (2×4). Solutions: x = 10 or x = 0.\n</reasoning>\nFinal Answer: x = 10 or x = 0"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -860 × 414"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -860 by 414: -860 × 414 = -356040.\n</reasoning>\nFinal Answer: -356040"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 18/17 + 20/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/17 + 20/18. Common denominator = 153. Result = 332/153.\n</reasoning>\nFinal Answer: 332/153"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -26 = -994"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 22x = -968. Divide by 22: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 12/9 / 7/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/9) ÷ (7/18) = (12/9) × (18/7) = 24/7.\n</reasoning>\nFinal Answer: 24/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:16 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/16, so B = A × (16/30) = 51 × 16/30 = 27.2.\n</reasoning>\nFinal Answer: 27.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [80, 49, 98, 74, 54, 20, 52, 29, 25, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [20, 25, 29, 49, 52, 54, 74, 80, 88, 98]. Middle value(s) → median = 53.0.\n</reasoning>\nFinal Answer: 53.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the mode of: [66, 3, 8, 93, 11, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {66: 1, 3: 2, 8: 1, 93: 1, 11: 1}. Most frequent: 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -459 × -743"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -459 by -743: -459 × -743 = 341037.\n</reasoning>\nFinal Answer: 341037"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 14/3 * 20/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/3) × (20/12) = (280/36) = 70/9 after simplification.\n</reasoning>\nFinal Answer: 70/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:21 and A = 83, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/21, so B = A × (21/7) = 83 × 21/7 = 249.0.\n</reasoning>\nFinal Answer: 249.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹5761 at 6% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 5761 × 6 × 8 / 100 = 2765.28.\n</reasoning>\nFinal Answer: 2765.28"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:3 and A = 11, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/3, so B = A × (3/23) = 11 × 3/23 = 1.4348.\n</reasoning>\nFinal Answer: 1.4348"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 287."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 287 by smallest primes repeatedly: 287 = 7 × 41.\n</reasoning>\nFinal Answer: 7 × 41"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: -460 - 440"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 440 from -460: -460 - 440 = -900.\n</reasoning>\nFinal Answer: -900"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 200 - 599"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 599 from 200: 200 - 599 = -399.\n</reasoning>\nFinal Answer: -399"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 10/8 / 9/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/8) ÷ (9/18) = (10/8) × (18/9) = 5/2.\n</reasoning>\nFinal Answer: 5/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 8, 16] and B = [5, 6, 13, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 5, 6, 8, 13, 16, 17].\n</reasoning>\nFinal Answer: [1, 5, 6, 8, 13, 16, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 40 and 25."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (40×25)/5 = 200.\n</reasoning>\nFinal Answer: 200"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:29 and A = 4, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/29, so B = A × (29/32) = 4 × 29/32 = 3.625.\n</reasoning>\nFinal Answer: 3.625"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 8/4 * 15/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/4) × (15/5) = (120/20) = 6 after simplification.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 25 = 220"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 5x = 195. Divide by 5: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:18 and A = 43, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/18, so B = A × (18/33) = 43 × 18/33 = 23.4545.\n</reasoning>\nFinal Answer: 23.4545"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 787 ÷ -410"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 787 by -410. 787 ÷ -410 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 81 and width 97."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(81+97) = 2×178 = 356.\n</reasoning>\nFinal Answer: 356"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [1, 12, 14, 15, 18] and B = [9, 11, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 12, 14, 15].\n</reasoning>\nFinal Answer: [1, 12, 14, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 87 mod -44"
},
{
"role": "assistant",
"content": "<reasoning>\n87 mod -44: 87 = -44 × -2 + -1, so remainder = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -192 mod 672"
},
{
"role": "assistant",
"content": "<reasoning>\n-192 mod 672: -192 = 672 × -1 + 480, so remainder = 480.\n</reasoning>\nFinal Answer: 480"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [57, 29, 77, 21, 53, 72, 38, 61, 95, 2]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 21, 29, 38, 53, 57, 61, 72, 77, 95]. Middle value(s) → median = 55.0.\n</reasoning>\nFinal Answer: 55.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -29 = -365"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 16x = -336. Divide by 16: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [65, 45, 44, 44, 35, 41, 9]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 65 - 9 = 56.\n</reasoning>\nFinal Answer: 56"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "784 is what percentage of 799?"
},
{
"role": "assistant",
"content": "<reasoning>\n(784/799) × 100 = 98.1227%.\n</reasoning>\nFinal Answer: 98.1227%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "What is 50% of 597?"
},
{
"role": "assistant",
"content": "<reasoning>\n50% of 597 = (50/100) × 597 = 298.5.\n</reasoning>\nFinal Answer: 298.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 100."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 100 by smallest primes repeatedly: 100 = 2 × 2 × 5 × 5.\n</reasoning>\nFinal Answer: 2 × 2 × 5 × 5"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 9 * 44 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 9×44=396, then 30+396-38=388.\n</reasoning>\nFinal Answer: 388"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 17/2 * 10/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/2) × (10/20) = (170/40) = 17/4 after simplification.\n</reasoning>\nFinal Answer: 17/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 7, 11, 15, 17, 18] and B = [1, 7, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [3, 11, 15, 17, 18].\n</reasoning>\nFinal Answer: [3, 11, 15, 17, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 8/16 * 19/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/16) × (19/6) = (152/96) = 19/12 after simplification.\n</reasoning>\nFinal Answer: 19/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -28 = -431"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 13x = -403. Divide by 13: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [26, 47, 17, 43, 92, 46, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 360/7 = 51.4286.\n</reasoning>\nFinal Answer: 51.4286"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "A train travels at 157 km/h. How far does it travel in 10 hours and 14 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 14/60 = 10.2333 hours. Distance = speed × time = 157 × 10.2333 = 1606.6333 km.\n</reasoning>\nFinal Answer: 1606.6333"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 393 km apart. Their speeds are 49 km/h and 53 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 49+53=102 km/h. Time = 393/102 = 3.8529 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [82, 88, 52, 17, 70, 41, 57, 14, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 88 - 14 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -32 = -532"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 25x = -500. Divide by 25: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 9/10 - 17/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/10 - 17/4. LCD = 20. Result = -67/20.\n</reasoning>\nFinal Answer: -67/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:44 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/44, so B = A × (44/23) = 74 × 44/23 = 141.5652.\n</reasoning>\nFinal Answer: 141.5652"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A bag has 9 red and 2 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 2/11 = 0.1818.\n</reasoning>\nFinal Answer: 0.1818"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Calculate: 492 × -282"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 492 by -282: 492 × -282 = -138744.\n</reasoning>\nFinal Answer: -138744"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/4 + 15/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/4 + 15/18. Common denominator = 6. Result = 11/6.\n</reasoning>\nFinal Answer: 11/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
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