messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the area of a rectangle with length 78 and width 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 78 × 45 = 3510.\n</reasoning>\nFinal Answer: 3510"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 366 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 366 × (1 + 5/100) = 366 × 1.05 = 384.3.\n</reasoning>\nFinal Answer: 384.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -25 = -705"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 17x = -680. Divide by 17: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -606 ÷ 299"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -606 by 299. -606 ÷ 299 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 33 * 26 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 33×26=858, then 3+858-44=817.\n</reasoning>\nFinal Answer: 817"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -6 = 46"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 13x = 52. Divide by 13: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 4/7 + 4/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/7 + 4/11. Common denominator = 77. Result = 72/77.\n</reasoning>\nFinal Answer: 72/77"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 762 km apart. Their speeds are 61 km/h and 120 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 61+120=181 km/h. Time = 762/181 = 4.2099 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [59, 93, 66, 89, 60, 43, 34, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 460/8 = 57.5.\n</reasoning>\nFinal Answer: 57.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 16 and width 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(16+37) = 2×53 = 106.\n</reasoning>\nFinal Answer: 106"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -405 mod 749"
},
{
"role": "assistant",
"content": "<reasoning>\n-405 mod 749: -405 = 749 × -1 + 344, so remainder = 344.\n</reasoning>\nFinal Answer: 344"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 15 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 15 = 180 worker-days. New time = 180 / 13 = 13.8462 days.\n</reasoning>\nFinal Answer: 13.8462"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 6, 15] and B = [1, 2, 6, 7, 8, 10, 11, 12], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 5, 15].\n</reasoning>\nFinal Answer: [4, 5, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:13 and A = 17, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/13, so B = A × (13/44) = 17 × 13/44 = 5.0227.\n</reasoning>\nFinal Answer: 5.0227"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 632 mod 956"
},
{
"role": "assistant",
"content": "<reasoning>\n632 mod 956: 632 = 956 × 0 + 632, so remainder = 632.\n</reasoning>\nFinal Answer: 632"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 604 - -228"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -228 from 604: 604 - -228 = 832.\n</reasoning>\nFinal Answer: 832"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -2 = -332"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -2 from both sides: 11x = -330. Divide by 11: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (24 + 41) * (4 - 2)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (24+41)=65, (4-2)=2, then 65×2=130.\n</reasoning>\nFinal Answer: 130"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 19/5 - 14/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/5 - 14/1. LCD = 5. Result = -51/5.\n</reasoning>\nFinal Answer: -51/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:45 and A = 49, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/45, so B = A × (45/50) = 49 × 45/50 = 44.1.\n</reasoning>\nFinal Answer: 44.1"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 772 - -962"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -962 from 772: 772 - -962 = 1734.\n</reasoning>\nFinal Answer: 1734"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (30 + 48) * (7 - 37)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (30+48)=78, (7-37)=-30, then 78×-30=-2340.\n</reasoning>\nFinal Answer: -2340"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -414 mod -412"
},
{
"role": "assistant",
"content": "<reasoning>\n-414 mod -412: -414 = -412 × 1 + -2, so remainder = -2.\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [99, 11, 16, 2, 90, 31, 96, 23, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {99: 1, 11: 1, 16: 1, 2: 1, 90: 1, 31: 1, 96: 1, 23: 1, 48: 1}. Most frequent: [99, 11, 16, 2, 90, 31, 96, 23, 48].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:49 and A = 45, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/49, so B = A × (49/13) = 45 × 49/13 = 169.6154.\n</reasoning>\nFinal Answer: 169.6154"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 75% of 766?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 766 = (75/100) × 766 = 574.5.\n</reasoning>\nFinal Answer: 574.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 44 and width 73."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 44 × 73 = 3212.\n</reasoning>\nFinal Answer: 3212"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -616 ÷ 951"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -616 by 951. -616 ÷ 951 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [93, 13, 42, 37, 23, 21, 4, 19, 28, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 13, 19, 21, 23, 28, 37, 42, 83, 93]. Middle value(s) → median = 25.5.\n</reasoning>\nFinal Answer: 25.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 723 + -96"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 723 and -96: 723 + -96 = 627.\n</reasoning>\nFinal Answer: 627"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 575 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 575 × (1 - 15/100) = 575 × 0.85 = 488.75.\n</reasoning>\nFinal Answer: 488.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 12, 24 and height 43."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (12+24) × 43 = 774.0.\n</reasoning>\nFinal Answer: 774.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [67, 21, 19, 11, 65, 34, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {67: 1, 21: 1, 19: 1, 11: 1, 65: 1, 34: 1, 51: 1}. Most frequent: [67, 21, 19, 11, 65, 34, 51].\n</reasoning>\nFinal Answer: [67, 21, 19, 11, 65, 34... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 21 = 301"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 20x = 280. Divide by 20: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 11 = 39"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 1x = 28. Divide by 1: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 3, 25, and 27."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 3 + 25 + 27 = 55.\n</reasoning>\nFinal Answer: 55"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 34 * 18 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 34×18=612, then 46+612-34=624.\n</reasoning>\nFinal Answer: 624"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 42 and 100."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(42,100) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 476 × -637"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 476 by -637: 476 × -637 = -303212.\n</reasoning>\nFinal Answer: -303212"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 451 - -116"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -116 from 451: 451 - -116 = 567.\n</reasoning>\nFinal Answer: 567"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [45, 26, 1, 61, 1, 21, 17, 62, 7, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 62 - 1 = 61.\n</reasoning>\nFinal Answer: 61"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mode of: [65, 3, 10, 1, 54, 45, 14, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {65: 1, 3: 1, 10: 1, 1: 1, 54: 1, 45: 1, 14: 1, 7: 1}. Most frequent: [65, 3, 10, 1, 54, 45, 14, 7].\n</reasoning>\nFinal Answer: [65, 3, 10, 1, 54... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 253 × 506"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 253 by 506: 253 × 506 = 128018.\n</reasoning>\nFinal Answer: 128018"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 + 18 * 42 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 18×42=756, then 4+756-45=715.\n</reasoning>\nFinal Answer: 715"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 338 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 338 × (1 + 15/100) = 338 × 1.15 = 388.7.\n</reasoning>\nFinal Answer: 388.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 13 ** 2 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 13²=169, then 3+169-15=157.\n</reasoning>\nFinal Answer: 157"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-28)x + (90) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -28² - 4×2×90 = 64. √discriminant = 8. x = (-(-28) ± 8) / (2×2). Solutions: x = 9 or x = 5.\n</reasoning>\nFinal Answer: x = 9 or x = 5"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -215 - -732"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -732 from -215: -215 - -732 = 517.\n</reasoning>\nFinal Answer: 517"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:47 and A = 23, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/47, so B = A × (47/49) = 23 × 47/49 = 22.0612.\n</reasoning>\nFinal Answer: 22.0612"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 * 32 + 30 * 25"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 45×32=1440 and 30×25=750, then add: 2190.\n</reasoning>\nFinal Answer: 2190"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -954 - -626"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -626 from -954: -954 - -626 = -328.\n</reasoning>\nFinal Answer: -328"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -850 ÷ -488"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -850 by -488. -850 ÷ -488 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [91, 88, 24, 7, 74, 6, 75, 15, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 6 = 94.\n</reasoning>\nFinal Answer: 94"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "A bag has 9 red and 8 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 8/17 = 0.4706.\n</reasoning>\nFinal Answer: 0.4706"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Calculate: 627 - -946"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -946 from 627: 627 - -946 = 1573.\n</reasoning>\nFinal Answer: 1573"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 20 * 34 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 20×34=680, then 41+680-3=718.\n</reasoning>\nFinal Answer: 718"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "209 is what percentage of 263?"
},
{
"role": "assistant",
"content": "<reasoning>\n(209/263) × 100 = 79.4677%.\n</reasoning>\nFinal Answer: 79.4677%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:8 and A = 30, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/8, so B = A × (8/19) = 30 × 8/19 = 12.6316.\n</reasoning>\nFinal Answer: 12.6316"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹2169. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2169 × 18/100 = 390.42. Total = 2169 + 390.42 = 2559.42.\n</reasoning>\nFinal Answer: 2559.42"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 29 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 29 = 87 worker-days. New time = 87 / 6 = 14.5 days.\n</reasoning>\nFinal Answer: 14.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (34 + 13) * (15 - 40)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (34+13)=47, (15-40)=-25, then 47×-25=-1175.\n</reasoning>\nFinal Answer: -1175"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -835 × -748"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -835 by -748: -835 × -748 = 624580.\n</reasoning>\nFinal Answer: 624580"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/19 / 9/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/19) ÷ (9/19) = (12/19) × (19/9) = 4/3.\n</reasoning>\nFinal Answer: 4/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 12/11 + 9/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/11 + 9/3. Common denominator = 11. Result = 45/11.\n</reasoning>\nFinal Answer: 45/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:13 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/13, so B = A × (13/15) = 51 × 13/15 = 44.2.\n</reasoning>\nFinal Answer: 44.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 358 ÷ 240"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 358 by 240. 358 ÷ 240 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 18/20 / 16/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/20) ÷ (16/5) = (18/20) × (5/16) = 9/32.\n</reasoning>\nFinal Answer: 9/32"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -820 × -390"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -820 by -390: -820 × -390 = 319800.\n</reasoning>\nFinal Answer: 319800"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -484 + -937"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -484 and -937: -484 + -937 = -1421.\n</reasoning>\nFinal Answer: -1421"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 84 apples and buys 82 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 84 + 82 = 166.\n</reasoning>\nFinal Answer: 166"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 89 and height 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 89 × 27 = 2403.\n</reasoning>\nFinal Answer: 2403"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 39 ** 2 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 39²=1521, then 30+1521-38=1513.\n</reasoning>\nFinal Answer: 1513"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 610 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 610 × (1 - 3/100) = 610 × 0.97 = 591.7.\n</reasoning>\nFinal Answer: 591.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 18/5 / 10/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/5) ÷ (10/6) = (18/5) × (6/10) = 54/25.\n</reasoning>\nFinal Answer: 54/25"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -30 = -1157"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 23x = -1127. Divide by 23: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 6, 10, 11, 12] and B = [6, 8, 11, 12, 13, 14, 15, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [6, 11, 12].\n</reasoning>\nFinal Answer: [6, 11, 12]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "What is 45% of 36?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 36 = (45/100) × 36 = 16.2.\n</reasoning>\nFinal Answer: 16.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 35, 40 and height 6."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (35+40) × 6 = 225.0.\n</reasoning>\nFinal Answer: 225.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [43, 83, 41, 87, 52, 86, 80, 20, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 561/9 = 62.3333.\n</reasoning>\nFinal Answer: 62.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the median of: [81, 32, 79, 27, 61, 2, 49, 16, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 5, 16, 27, 32, 49, 61, 79, 81]. Middle value(s) → median = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (20)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 20² - 4×4×0 = 400. √discriminant = 20. x = (-(20) ± 20) / (2×4). Solutions: x = -5 or x = 0.\n</reasoning>\nFinal Answer: x = -5 or x = 0"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 9, 10, 12, 14, 15, 18] and B = [6, 9, 17, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 4, 6, 10, 12, 14, 15, 17].\n</reasoning>\nFin... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 5, 9, 13, 14, 16, 18] and B = [4, 12, 16], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 4, 5, 9, 12, 13, 14, 16, 18].\n</reasoning>\nFinal Answer: [2, 4, 5, 9, 12, 13, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mean of: [56, 94, 78, 4, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 300/5 = 60.0.\n</reasoning>\nFinal Answer: 60.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 * 48 + 18 * 11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 28×48=1344 and 18×11=198, then add: 1542.\n</reasoning>\nFinal Answer: 1542"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 945 + -640"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 945 and -640: 945 + -640 = 305.\n</reasoning>\nFinal Answer: 305"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 517 km apart. Their speeds are 70 km/h and 70 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 70+70=140 km/h. Time = 517/140 = 3.6929 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 67 and height 58."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 67 × 58 = 1943.0.\n</reasoning>\nFinal Answer: 1943.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -177 + -968"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -177 and -968: -177 + -968 = -1145.\n</reasoning>\nFinal Answer: -1145"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -50 = 222"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 16x = 272. Divide by 16: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹2893. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2893 × 5/100 = 144.65. Total = 2893 + 144.65 = 3037.65.\n</reasoning>\nFinal Answer: 3037.65"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹3752. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3752 × 18/100 = 675.36. Total = 3752 + 675.36 = 4427.36.\n</reasoning>\nFinal Answer: 4427.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:48 and A = 97, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/48, so B = A × (48/15) = 97 × 48/15 = 310.4.\n</reasoning>\nFinal Answer: 310.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 18/16 + 15/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/16 + 15/17. Common denominator = 136. Result = 273/136.\n</reasoning>\nFinal Answer: 273/136"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 251 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 251 × (1 - 17/100) = 251 × 0.83 = 208.33.\n</reasoning>\nFinal Answer: 208.33"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 169 apples and buys 41 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 169 + 41 = 210.\n</reasoning>\nFinal Answer: 210"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -723 - -337"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -337 from -723: -723 - -337 = -386.\n</reasoning>\nFinal Answer: -386"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:43 and A = 38, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/43, so B = A × (43/35) = 38 × 43/35 = 46.6857.\n</reasoning>\nFinal Answer: 46.6857"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 787 - 567"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 567 from 787: 787 - 567 = 220.\n</reasoning>\nFinal Answer: 220"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹44332 at 16% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 44332 × 16 × 2 / 100 = 14186.24.\n</reasoning>\nFinal Answer: 14186.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
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