messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: 845 ÷ -440"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 845 by -440. 845 ÷ -440 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -327 + -419"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -327 and -419: -327 + -419 = -746.\n</reasoning>\nFinal Answer: -746"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-48)x + (192) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -48² - 4×3×192 = 0. √discriminant = 0. x = (-(-48) ± 0) / (2×3). Solutions: x = 8 (double root).\n</reasoning>\nFinal Answer: x = 8 (double ro... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 489 mod 769"
},
{
"role": "assistant",
"content": "<reasoning>\n489 mod 769: 489 = 769 × 0 + 489, so remainder = 489.\n</reasoning>\nFinal Answer: 489"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 104 × 366"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 104 by 366: 104 × 366 = 38064.\n</reasoning>\nFinal Answer: 38064"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 10."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 10 by smallest primes repeatedly: 10 = 2 × 5.\n</reasoning>\nFinal Answer: 2 × 5"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Simplify: 4/12 + 15/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/12 + 15/20. Common denominator = 12. Result = 13/12.\n</reasoning>\nFinal Answer: 13/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -931 + -949"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -931 and -949: -931 + -949 = -1880.\n</reasoning>\nFinal Answer: -1880"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:46 and A = 85, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/46, so B = A × (46/49) = 85 × 46/49 = 79.7959.\n</reasoning>\nFinal Answer: 79.7959"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -660 + 187"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -660 and 187: -660 + 187 = -473.\n</reasoning>\nFinal Answer: -473"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 882 km apart. Their speeds are 53 km/h and 48 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 53+48=101 km/h. Time = 882/101 = 8.7327 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [25, 1, 32, 93, 19, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 258/6 = 43.0.\n</reasoning>\nFinal Answer: 43.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 1 = -1241"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 27x = -1242. Divide by 27: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 35 and width 12."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(35+12) = 2×47 = 94.\n</reasoning>\nFinal Answer: 94"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [10, 40, 160, 640, 2560]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is a geometric sequence with first term 10 and ratio 4. Next term = 2560 × 4 = 10240.\n</reasoning>\nFinal Answer: 10240"
}
] | medium | [
"sequences",
"geometric_progression"
] |
[
{
"role": "user",
"content": "An item costs ₹4924. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4924 × 5/100 = 246.2. Total = 4924 + 246.2 = 5170.2.\n</reasoning>\nFinal Answer: 5170.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 90 and height 89."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 90 × 89 = 4005.0.\n</reasoning>\nFinal Answer: 4005.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 10 * 27 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 10×27=270, then 11+270-9=272.\n</reasoning>\nFinal Answer: 272"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 960 × 851"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 960 by 851: 960 × 851 = 816960.\n</reasoning>\nFinal Answer: 816960"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 9 = -915"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 22x = -924. Divide by 22: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 118 km/h. How far does it travel in 5 hours and 13 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 13/60 = 5.2167 hours. Distance = speed × time = 118 × 5.2167 = 615.5667 km.\n</reasoning>\nFinal Answer: 615.5667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [23, 14, 56, 26, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {23: 1, 14: 1, 56: 1, 26: 1, 8: 1}. Most frequent: [23, 14, 56, 26, 8].\n</reasoning>\nFinal Answer: [23, 14, 56, 26, 8]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 * 10 + 11 * 7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 45×10=450 and 11×7=77, then add: 527.\n</reasoning>\nFinal Answer: 527"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -21 + -791"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -21 and -791: -21 + -791 = -812.\n</reasoning>\nFinal Answer: -812"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 684 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 684 × (1 + 75/100) = 684 × 1.75 = 1197.0.\n</reasoning>\nFinal Answer: 1197.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -944 mod 208"
},
{
"role": "assistant",
"content": "<reasoning>\n-944 mod 208: -944 = 208 × -5 + 96, so remainder = 96.\n</reasoning>\nFinal Answer: 96"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 2 and width 56."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(2+56) = 2×58 = 116.\n</reasoning>\nFinal Answer: 116"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 21 = -99"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 5x = -120. Divide by 5: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -32 = 106"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 23x = 138. Divide by 23: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (70)x + (240) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 70² - 4×5×240 = 100. √discriminant = 10. x = (-(70) ± 10) / (2×5). Solutions: x = -8 or x = -6.\n</reasoning>\nFinal Answer: x = -8 or x = -6"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 26 and common difference 4, find the 23th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 26 + (23-1)×4 = 26 + 88 = 114.\n</reasoning>\nFinal Answer: 114"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [7, 10, 13, 16, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 7 and common difference 3. Next term = 19 + 3 = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -560 × 661"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -560 by 661: -560 × 661 = -370160.\n</reasoning>\nFinal Answer: -370160"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "238 is what percentage of 372?"
},
{
"role": "assistant",
"content": "<reasoning>\n(238/372) × 100 = 63.9785%.\n</reasoning>\nFinal Answer: 63.9785%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 27 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 27 = 351 worker-days. New time = 351 / 4 = 87.75 days.\n</reasoning>\nFinal Answer: 87.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -64 + 511"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -64 and 511: -64 + 511 = 447.\n</reasoning>\nFinal Answer: 447"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [76, 84, 100, 100, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 368/5 = 73.6.\n</reasoning>\nFinal Answer: 73.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 15, 34 and height 6."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (15+34) × 6 = 147.0.\n</reasoning>\nFinal Answer: 147.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 15/19 + 15/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/19 + 15/17. Common denominator = 323. Result = 540/323.\n</reasoning>\nFinal Answer: 540/323"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 55 apples and buys 67 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 55 + 67 = 122.\n</reasoning>\nFinal Answer: 122"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 16] and B = [9, 10, 15], 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": "Evaluate using order of operations: 16 + 44 ** 2 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 44²=1936, then 16+1936-41=1911.\n</reasoning>\nFinal Answer: 1911"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -4 = 521"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 15x = 525. Divide by 15: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -36 = 1189"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 25x = 1225. Divide by 25: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -133 - -792"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -792 from -133: -133 - -792 = 659.\n</reasoning>\nFinal Answer: 659"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 10/7 + 1/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/7 + 1/10. Common denominator = 70. Result = 107/70.\n</reasoning>\nFinal Answer: 107/70"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 647 mod 678"
},
{
"role": "assistant",
"content": "<reasoning>\n647 mod 678: 647 = 678 × 0 + 647, so remainder = 647.\n</reasoning>\nFinal Answer: 647"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 30% of 402?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 402 = (30/100) × 402 = 120.6.\n</reasoning>\nFinal Answer: 120.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 90 km/h. How far does it travel in 4 hours and 59 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 59/60 = 4.9833 hours. Distance = speed × time = 90 × 4.9833 = 448.5 km.\n</reasoning>\nFinal Answer: 448.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [73, 22, 3, 97, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 292/5 = 58.4.\n</reasoning>\nFinal Answer: 58.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "What is 80% of 157?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 157 = (80/100) × 157 = 125.6.\n</reasoning>\nFinal Answer: 125.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [9, 12, 13, 18] and B = [3, 5, 8, 9, 13, 15, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [9, 13].\n</reasoning>\nFinal Answer: [9, 13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 44 = -84"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 16x = -128. Divide by 16: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "354 is what percentage of 664?"
},
{
"role": "assistant",
"content": "<reasoning>\n(354/664) × 100 = 53.3133%.\n</reasoning>\nFinal Answer: 53.3133%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mode of: [77, 50, 29, 51, 14, 6, 29, 27, 75, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {77: 1, 50: 1, 29: 2, 51: 1, 14: 1, 6: 1, 27: 1, 75: 1, 45: 1}. Most frequent: 29.\n</reasoning>\nFinal Answer: 29"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -200 mod 713"
},
{
"role": "assistant",
"content": "<reasoning>\n-200 mod 713: -200 = 713 × -1 + 513, so remainder = 513.\n</reasoning>\nFinal Answer: 513"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 15, 19, and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 15 + 19 + 30 = 64.\n</reasoning>\nFinal Answer: 64"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "217 is what percentage of 243?"
},
{
"role": "assistant",
"content": "<reasoning>\n(217/243) × 100 = 89.3004%.\n</reasoning>\nFinal Answer: 89.3004%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 47 * 47 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 47×47=2209, then 25+2209-42=2192.\n</reasoning>\nFinal Answer: 2192"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 13/8 + 13/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/8 + 13/19. Common denominator = 152. Result = 351/152.\n</reasoning>\nFinal Answer: 351/152"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [68, 90, 17, 98, 4, 74, 100, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 538/8 = 67.25.\n</reasoning>\nFinal Answer: 67.25"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -22 = 86"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 18x = 108. Divide by 18: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 791 km apart. Their speeds are 104 km/h and 116 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 104+116=220 km/h. Time = 791/220 = 3.5955 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 5, 13, and 14."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 5 + 13 + 14 = 32.\n</reasoning>\nFinal Answer: 32"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 7 and height 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 7 × 25 = 175.\n</reasoning>\nFinal Answer: 175"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 10 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 10 × (1 - 17/100) = 10 × 0.83 = 8.3.\n</reasoning>\nFinal Answer: 8.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹17711 at 1% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 17711 × 1 × 2 / 100 = 354.22.\n</reasoning>\nFinal Answer: 354.22"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 591 × 404"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 591 by 404: 591 × 404 = 238764.\n</reasoning>\nFinal Answer: 238764"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 33 = 194"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 7x = 161. Divide by 7: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 5, 46 and height 3."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (5+46) × 3 = 76.5.\n</reasoning>\nFinal Answer: 76.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 19/18 / 5/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/18) ÷ (5/18) = (19/18) × (18/5) = 19/5.\n</reasoning>\nFinal Answer: 19/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 117 km/h. How far does it travel in 4 hours and 8 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 8/60 = 4.1333 hours. Distance = speed × time = 117 × 4.1333 = 483.6 km.\n</reasoning>\nFinal Answer: 483.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 13 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 13 = 221 worker-days. New time = 221 / 9 = 24.5556 days.\n</reasoning>\nFinal Answer: 24.5556"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 0 = -216"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 9x = -216. Divide by 9: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 20/12 - 16/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/12 - 16/17. LCD = 51. Result = 37/51.\n</reasoning>\nFinal Answer: 37/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [96, 85, 48, 61, 73, 42, 39, 39, 17, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 17 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 20/18 / 13/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/18) ÷ (13/15) = (20/18) × (15/13) = 50/39.\n</reasoning>\nFinal Answer: 50/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 45 * 5 - 18"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 45×5=225, then 36+225-18=243.\n</reasoning>\nFinal Answer: 243"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (16 + 22) * (36 - 39)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (16+22)=38, (36-39)=-3, then 38×-3=-114.\n</reasoning>\nFinal Answer: -114"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 12/17 + 7/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/17 + 7/2. Common denominator = 34. Result = 143/34.\n</reasoning>\nFinal Answer: 143/34"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [26, 100, 40, 82, 30, 89, 17, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [17, 26, 30, 32, 40, 82, 89, 100]. Middle value(s) → median = 36.0.\n</reasoning>\nFinal Answer: 36.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Ravi has 47 apples and buys 102 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 47 + 102 = 149.\n</reasoning>\nFinal Answer: 149"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 6/4 * 19/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/4) × (19/9) = (114/36) = 19/6 after simplification.\n</reasoning>\nFinal Answer: 19/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 46 and height 88."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 46 × 88 = 4048.\n</reasoning>\nFinal Answer: 4048"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 96 km/h. How far does it travel in 1 hours and 0 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 0/60 = 1.0000 hours. Distance = speed × time = 96 × 1.0000 = 96.0 km.\n</reasoning>\nFinal Answer: 96.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 145 + 951"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 145 and 951: 145 + 951 = 1096.\n</reasoning>\nFinal Answer: 1096"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [4, 70, 18, 22, 47, 46, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 18, 22, 46, 47, 69, 70]. Middle value(s) → median = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the median of: [29, 4, 16, 45, 84, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 10, 16, 29, 45, 84]. Middle value(s) → median = 22.5.\n</reasoning>\nFinal Answer: 22.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the range of: [71, 14, 79, 41, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 14 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Decrease 761 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 761 × (1 - 35/100) = 761 × 0.65 = 494.65.\n</reasoning>\nFinal Answer: 494.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 3/14 - 6/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/14 - 6/19. LCD = 266. Result = -27/266.\n</reasoning>\nFinal Answer: -27/266"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 * 2 + 30 * 33"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 40×2=80 and 30×33=990, then add: 1070.\n</reasoning>\nFinal Answer: 1070"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 414 × 991"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 414 by 991: 414 × 991 = 410274.\n</reasoning>\nFinal Answer: 410274"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [72, 40, 43, 39, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 252/5 = 50.4.\n</reasoning>\nFinal Answer: 50.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 * 27 + 41 * 8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 24×27=648 and 41×8=328, then add: 976.\n</reasoning>\nFinal Answer: 976"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 667 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 667 × (1 + 90/100) = 667 × 1.9 = 1267.3.\n</reasoning>\nFinal Answer: 1267.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -886 mod 451"
},
{
"role": "assistant",
"content": "<reasoning>\n-886 mod 451: -886 = 451 × -2 + 16, so remainder = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -707 + 844"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -707 and 844: -707 + 844 = 137.\n</reasoning>\nFinal Answer: 137"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 9, 14, and 15."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 9 + 14 + 15 = 38.\n</reasoning>\nFinal Answer: 38"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Decrease 204 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 204 × (1 - 50/100) = 204 × 0.5 = 102.0.\n</reasoning>\nFinal Answer: 102.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
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