messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: (39 + 21) * (45 - 41)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (39+21)=60, (45-41)=4, then 60×4=240.\n</reasoning>\nFinal Answer: 240"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -237 ÷ 324"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -237 by 324. -237 ÷ 324 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 30% of 690?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 690 = (30/100) × 690 = 207.0.\n</reasoning>\nFinal Answer: 207.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 5% of 853?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 853 = (5/100) × 853 = 42.65.\n</reasoning>\nFinal Answer: 42.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -42 = -354"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 24x = -312. Divide by 24: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [87, 91, 69, 82, 84, 35, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [35, 52, 69, 82, 84, 87, 91]. Middle value(s) → median = 82.\n</reasoning>\nFinal Answer: 82"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 472 mod -449"
},
{
"role": "assistant",
"content": "<reasoning>\n472 mod -449: 472 = -449 × -2 + -426, so remainder = -426.\n</reasoning>\nFinal Answer: -426"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 + 36 ** 2 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 36²=1296, then 20+1296-26=1290.\n</reasoning>\nFinal Answer: 1290"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -20 = 652"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 21x = 672. Divide by 21: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -33 = 359"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 14x = 392. Divide by 14: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -9 = -784"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 25x = -775. Divide by 25: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 16/19 * 16/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/19) × (16/5) = (256/95) = 256/95 after simplification.\n</reasoning>\nFinal Answer: 256/95"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [5, 9, 10, 13, 14, 15, 19] and B = [1, 3, 11, 13], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 5, 9, 10, 11, 13, 14, 15, 19].\n</reasoning>\nFinal Answer: [1, 3, 5, 9, 10, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -360 - -741"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -741 from -360: -360 - -741 = 381.\n</reasoning>\nFinal Answer: 381"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -504 + 276"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -504 and 276: -504 + 276 = -228.\n</reasoning>\nFinal Answer: -228"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹14299 at 2% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 14299 × 2 × 5 / 100 = 1429.9.\n</reasoning>\nFinal Answer: 1429.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 855 × -772"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 855 by -772: 855 × -772 = -660060.\n</reasoning>\nFinal Answer: -660060"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:44 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/44, so B = A × (44/9) = 66 × 44/9 = 322.6667.\n</reasoning>\nFinal Answer: 322.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -578 + 353"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -578 and 353: -578 + 353 = -225.\n</reasoning>\nFinal Answer: -225"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:23 and A = 52, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/23, so B = A × (23/14) = 52 × 23/14 = 85.4286.\n</reasoning>\nFinal Answer: 85.4286"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (20 + 31) * (40 - 41)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (20+31)=51, (40-41)=-1, then 51×-1=-51.\n</reasoning>\nFinal Answer: -51"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -113 + 461"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -113 and 461: -113 + 461 = 348.\n</reasoning>\nFinal Answer: 348"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 412 mod -555"
},
{
"role": "assistant",
"content": "<reasoning>\n412 mod -555: 412 = -555 × -1 + -143, so remainder = -143.\n</reasoning>\nFinal Answer: -143"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 119 and 33."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(119,33) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "An item costs ₹3056. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3056 × 18/100 = 550.08. Total = 3056 + 550.08 = 3606.08.\n</reasoning>\nFinal Answer: 3606.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "280 is what percentage of 337?"
},
{
"role": "assistant",
"content": "<reasoning>\n(280/337) × 100 = 83.0861%.\n</reasoning>\nFinal Answer: 83.0861%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "What is 25% of 982?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 982 = (25/100) × 982 = 245.5.\n</reasoning>\nFinal Answer: 245.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [24, 10, 51, 33, 56, 21, 67, 11, 25, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {24: 1, 10: 1, 51: 1, 33: 1, 56: 1, 21: 1, 67: 1, 11: 1, 25: 1, 68: 1}. Most frequent: [24, 10, 51, 33, 56, 21, 67, 11, 25, 68].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "37 is what percentage of 889?"
},
{
"role": "assistant",
"content": "<reasoning>\n(37/889) × 100 = 4.162%.\n</reasoning>\nFinal Answer: 4.162%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the median of: [97, 21, 71, 38, 6, 82, 87, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 21, 38, 60, 71, 82, 87, 97]. Middle value(s) → median = 65.5.\n</reasoning>\nFinal Answer: 65.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 910 × 252"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 910 by 252: 910 × 252 = 229320.\n</reasoning>\nFinal Answer: 229320"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-10)x + (-15) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -10² - 4×5×-15 = 400. √discriminant = 20. x = (-(-10) ± 20) / (2×5). Solutions: x = 3 or x = -1.\n</reasoning>\nFinal Answer: x = 3 or x = -1"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 9 * 2 - 35"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 9×2=18, then 49+18-35=32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 529 km apart. Their speeds are 55 km/h and 114 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 55+114=169 km/h. Time = 529/169 = 3.1302 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 3, 4, 6, 7, 14, 19] and B = [9, 10, 11, 15], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 3, 4, 6, 7, 9, 10, 11, 14, 15, 19].\n</reaso... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:39 and A = 26, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/39, so B = A × (39/26) = 26 × 39/26 = 39.0.\n</reasoning>\nFinal Answer: 39.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-5)x + (-450) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -5² - 4×5×-450 = 9025. √discriminant = 95. x = (-(-5) ± 95) / (2×5). Solutions: x = -9 or x = 10.\n</reasoning>\nFinal Answer: x = -9 or x = 1... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 164 km apart. Their speeds are 67 km/h and 62 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 67+62=129 km/h. Time = 164/129 = 1.2713 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 * 8 + 9 * 39"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 50×8=400 and 9×39=351, then add: 751.\n</reasoning>\nFinal Answer: 751"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -14 = 247"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 29x = 261. Divide by 29: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:30 and A = 47, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/30, so B = A × (30/42) = 47 × 30/42 = 33.5714.\n</reasoning>\nFinal Answer: 33.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 178 apples and buys 127 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 178 + 127 = 305.\n</reasoning>\nFinal Answer: 305"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 366 ÷ -888"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 366 by -888. 366 ÷ -888 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 262 × 214"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 262 by 214: 262 × 214 = 56068.\n</reasoning>\nFinal Answer: 56068"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 5, 7, and 8."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 5 + 7 + 8 = 20.\n</reasoning>\nFinal Answer: 20"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 72 and width 51."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 72 × 51 = 3672.\n</reasoning>\nFinal Answer: 3672"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:18 and A = 28, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/18, so B = A × (18/50) = 28 × 18/50 = 10.08.\n</reasoning>\nFinal Answer: 10.08"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 35 and common difference 6, find the 15th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 35 + (15-1)×6 = 35 + 84 = 119.\n</reasoning>\nFinal Answer: 119"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "What is 12% of 605?"
},
{
"role": "assistant",
"content": "<reasoning>\n12% of 605 = (12/100) × 605 = 72.6.\n</reasoning>\nFinal Answer: 72.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -22 = 650"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 16x = 672. Divide by 16: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 44 and width 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(44+37) = 2×81 = 162.\n</reasoning>\nFinal Answer: 162"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -37 = -405"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 8x = -368. Divide by 8: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 41 ** 2 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 41²=1681, then 44+1681-44=1681.\n</reasoning>\nFinal Answer: 1681"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 15 days. How many days will 12 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 15 = 195 worker-days. New time = 195 / 12 = 16.25 days.\n</reasoning>\nFinal Answer: 16.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 549 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 549 × (1 + 25/100) = 549 × 1.25 = 686.25.\n</reasoning>\nFinal Answer: 686.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:20 and A = 26, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/20, so B = A × (20/26) = 26 × 20/26 = 20.0.\n</reasoning>\nFinal Answer: 20.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -783 ÷ 275"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -783 by 275. -783 ÷ 275 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 + 3 ** 2 - 35"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 3²=9, then 24+9-35=-2.\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 10/15 / 13/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/15) ÷ (13/11) = (10/15) × (11/13) = 22/39.\n</reasoning>\nFinal Answer: 22/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 310 km apart. Their speeds are 81 km/h and 41 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 81+41=122 km/h. Time = 310/122 = 2.541 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [3, 5, 68, 16, 67, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 5, 16, 67, 68, 73]. Middle value(s) → median = 41.5.\n</reasoning>\nFinal Answer: 41.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the median of: [36, 61, 64, 45, 99, 13, 95, 44, 30, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [13, 23, 30, 36, 44, 45, 61, 64, 95, 99]. Middle value(s) → median = 44.5.\n</reasoning>\nFinal Answer: 44.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Increase 698 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 698 × (1 + 75/100) = 698 × 1.75 = 1221.5.\n</reasoning>\nFinal Answer: 1221.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 484 ÷ 848"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 484 by 848. 484 ÷ 848 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 669 ÷ -689"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 669 by -689. 669 ÷ -689 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (28 + 26) * (46 - 35)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (28+26)=54, (46-35)=11, then 54×11=594.\n</reasoning>\nFinal Answer: 594"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (24 + 50) * (49 - 10)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (24+50)=74, (49-10)=39, then 74×39=2886.\n</reasoning>\nFinal Answer: 2886"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [33, 50, 80, 52, 6, 30, 85, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {33: 1, 50: 1, 80: 1, 52: 1, 6: 1, 30: 1, 85: 1, 95: 1}. Most frequent: [33, 50, 80, 52, 6, 30, 85, 95].\n</reasoning>\nFinal Answer: [33, 50, 80... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 11/20 / 7/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/20) ÷ (7/5) = (11/20) × (5/7) = 11/28.\n</reasoning>\nFinal Answer: 11/28"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 36 and width 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 36 × 4 = 144.\n</reasoning>\nFinal Answer: 144"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 * 6 + 8 * 7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 39×6=234 and 8×7=56, then add: 290.\n</reasoning>\nFinal Answer: 290"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 494 km apart. Their speeds are 57 km/h and 44 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 57+44=101 km/h. Time = 494/101 = 4.8911 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -75 + 331"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -75 and 331: -75 + 331 = 256.\n</reasoning>\nFinal Answer: 256"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 115 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 115 × (1 - 50/100) = 115 × 0.5 = 57.5.\n</reasoning>\nFinal Answer: 57.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 45 and 50."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (45×50)/5 = 450.\n</reasoning>\nFinal Answer: 450"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 761 + 383"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 761 and 383: 761 + 383 = 1144.\n</reasoning>\nFinal Answer: 1144"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 13, 19 and height 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (13+19) × 21 = 336.0.\n</reasoning>\nFinal Answer: 336.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 6, 12, 19] and B = [1, 4, 8], 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": "Calculate: -243 - 794"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 794 from -243: -243 - 794 = -1037.\n</reasoning>\nFinal Answer: -1037"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-6)x + (-9) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -6² - 4×3×-9 = 144. √discriminant = 12. x = (-(-6) ± 12) / (2×3). Solutions: x = -1 or x = 3.\n</reasoning>\nFinal Answer: x = -1 or x = 3"
}
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 162 and 2."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(162,2) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Ravi has 31 apples and buys 156 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 31 + 156 = 187.\n</reasoning>\nFinal Answer: 187"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -83 + -285"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -83 and -285: -83 + -285 = -368.\n</reasoning>\nFinal Answer: -368"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 43 apples and buys 190 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 43 + 190 = 233.\n</reasoning>\nFinal Answer: 233"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:23 and A = 99, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/23, so B = A × (23/24) = 99 × 23/24 = 94.875.\n</reasoning>\nFinal Answer: 94.875"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:45 and A = 69, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/45, so B = A × (45/49) = 69 × 45/49 = 63.3673.\n</reasoning>\nFinal Answer: 63.3673"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 * 39 + 39 * 29"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 49×39=1911 and 39×29=1131, then add: 3042.\n</reasoning>\nFinal Answer: 3042"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 468 km apart. Their speeds are 68 km/h and 76 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 68+76=144 km/h. Time = 468/144 = 3.25 hours.\n</reasoning>\nFinal Answer: ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 17/4 / 14/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/4) ÷ (14/20) = (17/4) × (20/14) = 85/14.\n</reasoning>\nFinal Answer: 85/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 985 ÷ -207"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 985 by -207. 985 ÷ -207 = -5 (integer division).\n</reasoning>\nFinal Answer: -5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -30 = -180"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 5x = -150. Divide by 5: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 10/4 + 2/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/4 + 2/16. Common denominator = 8. Result = 21/8.\n</reasoning>\nFinal Answer: 21/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -30 = -255"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 9x = -225. Divide by 9: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -599 + -70"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -599 and -70: -599 + -70 = -669.\n</reasoning>\nFinal Answer: -669"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 673 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 7%: 673 × (1 + 7/100) = 673 × 1.07 = 720.11.\n</reasoning>\nFinal Answer: 720.11"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 + 12 * 43 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 12×43=516, then 4+516-20=500.\n</reasoning>\nFinal Answer: 500"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 * 19 + 8 * 41"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 44×19=836 and 8×41=328, then add: 1164.\n</reasoning>\nFinal Answer: 1164"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:39 and A = 73, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/39, so B = A × (39/9) = 73 × 39/9 = 316.3333.\n</reasoning>\nFinal Answer: 316.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 239 - -743"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -743 from 239: 239 - -743 = 982.\n</reasoning>\nFinal Answer: 982"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 844 mod -848"
},
{
"role": "assistant",
"content": "<reasoning>\n844 mod -848: 844 = -848 × -1 + -4, so remainder = -4.\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
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