messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the mean of: [37, 74, 46, 4, 91, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 257/6 = 42.8333.\n</reasoning>\nFinal Answer: 42.8333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 27 and height 100."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 27 × 100 = 1350.0.\n</reasoning>\nFinal Answer: 1350.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 + 29 * 8 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 29×8=232, then 35+232-28=239.\n</reasoning>\nFinal Answer: 239"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 887 km apart. Their speeds are 83 km/h and 43 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 83+43=126 km/h. Time = 887/126 = 7.0397 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -101 + -417"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -101 and -417: -101 + -417 = -518.\n</reasoning>\nFinal Answer: -518"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -10 = 294"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 8x = 304. Divide by 8: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [13, 31, 49, 67, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 13 and common difference 18. Next term = 85 + 18 = 103.\n</reasoning>\nFinal Answer: 103"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "An item costs ₹2263. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2263 × 28/100 = 633.64. Total = 2263 + 633.64 = 2896.64.\n</reasoning>\nFinal Answer: 2896.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 16 * 23 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 16×23=368, then 6+368-47=327.\n</reasoning>\nFinal Answer: 327"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 284 km apart. Their speeds are 112 km/h and 72 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 112+72=184 km/h. Time = 284/184 = 1.5435 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 33 = 737"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 16x = 704. Divide by 16: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 109 × 557"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 109 by 557: 109 × 557 = 60713.\n</reasoning>\nFinal Answer: 60713"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 101 apples and buys 138 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 101 + 138 = 239.\n</reasoning>\nFinal Answer: 239"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -695 × -115"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -695 by -115: -695 × -115 = 79925.\n</reasoning>\nFinal Answer: 79925"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:6 and A = 94, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/6, so B = A × (6/38) = 94 × 6/38 = 14.8421.\n</reasoning>\nFinal Answer: 14.8421"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 + 1 ** 2 - 8"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 1²=1, then 4+1-8=-3.\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 6 = 14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 4x = 8. Divide by 4: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -13 = -1213"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 24x = -1200. Divide by 24: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 453 × 250"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 453 by 250: 453 × 250 = 113250.\n</reasoning>\nFinal Answer: 113250"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 2 = -88"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 5x = -90. Divide by 5: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:42 and A = 45, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/42, so B = A × (42/13) = 45 × 42/13 = 145.3846.\n</reasoning>\nFinal Answer: 145.3846"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 14/13 - 4/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/13 - 4/1. LCD = 13. Result = -38/13.\n</reasoning>\nFinal Answer: -38/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [2, 16, 59, 27, 28, 83, 89, 71, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 395/9 = 43.8889.\n</reasoning>\nFinal Answer: 43.8889"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 693 ÷ 50"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 693 by 50. 693 ÷ 50 = 13 (integer division).\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (38 + 15) * (31 - 20)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (38+15)=53, (31-20)=11, then 53×11=583.\n</reasoning>\nFinal Answer: 583"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 24 = 574"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 25x = 550. Divide by 25: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 962 km apart. Their speeds are 79 km/h and 44 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 79+44=123 km/h. Time = 962/123 = 7.8211 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 519 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 519 × (1 + 17/100) = 519 × 1.17 = 607.23.\n</reasoning>\nFinal Answer: 607.23"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [54, 68, 30, 86, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 86 - 30 = 56.\n</reasoning>\nFinal Answer: 56"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -40 = -355"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 21x = -315. Divide by 21: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 114 and 110."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(114,110) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 54 and width 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 54 × 50 = 2700.\n</reasoning>\nFinal Answer: 2700"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 18/14 * 12/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/14) × (12/14) = (216/196) = 54/49 after simplification.\n</reasoning>\nFinal Answer: 54/49"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 913 × 763"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 913 by 763: 913 × 763 = 696619.\n</reasoning>\nFinal Answer: 696619"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/4 / 18/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/4) ÷ (18/1) = (17/4) × (1/18) = 17/72.\n</reasoning>\nFinal Answer: 17/72"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 8/3 + 17/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/3 + 17/5. Common denominator = 15. Result = 91/15.\n</reasoning>\nFinal Answer: 91/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 3, 5, 9, 10, 15, 17] and B = [2, 3, 4, 5, 7, 9, 16], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 4, 7, 10, 15, 16, 17].\n</reasoning>\nF... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 14/16 + 13/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/16 + 13/11. Common denominator = 88. Result = 181/88.\n</reasoning>\nFinal Answer: 181/88"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 5 and common difference 19, find the 47th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 5 + (47-1)×19 = 5 + 874 = 879.\n</reasoning>\nFinal Answer: 879"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "An item costs ₹4253. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4253 × 5/100 = 212.65. Total = 4253 + 212.65 = 4465.65.\n</reasoning>\nFinal Answer: 4465.65"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (3 + 19) * (44 - 1)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (3+19)=22, (44-1)=43, then 22×43=946.\n</reasoning>\nFinal Answer: 946"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [47, 87, 49, 47, 48, 12, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 12, 47, 47, 48, 49, 87]. Middle value(s) → median = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the range of: [11, 53, 48, 19, 31, 18, 100, 71, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 11 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -305 mod -650"
},
{
"role": "assistant",
"content": "<reasoning>\n-305 mod -650: -305 = -650 × 0 + -305, so remainder = -305.\n</reasoning>\nFinal Answer: -305"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 689 km apart. Their speeds are 116 km/h and 105 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 116+105=221 km/h. Time = 689/221 = 3.1176 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 370 - 416"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 416 from 370: 370 - 416 = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹2990. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2990 × 18/100 = 538.2. Total = 2990 + 538.2 = 3528.2.\n</reasoning>\nFinal Answer: 3528.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 16 * 41 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 16×41=656, then 32+656-24=664.\n</reasoning>\nFinal Answer: 664"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 8/20 * 5/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/20) × (5/11) = (40/220) = 2/11 after simplification.\n</reasoning>\nFinal Answer: 2/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 15/18 / 20/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/18) ÷ (20/15) = (15/18) × (15/20) = 5/8.\n</reasoning>\nFinal Answer: 5/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -44 = -494"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 15x = -450. Divide by 15: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:4 and A = 37, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/4, so B = A × (4/24) = 37 × 4/24 = 6.1667.\n</reasoning>\nFinal Answer: 6.1667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 17% of 337?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 337 = (17/100) × 337 = 57.29.\n</reasoning>\nFinal Answer: 57.29"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -557 + 346"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -557 and 346: -557 + 346 = -211.\n</reasoning>\nFinal Answer: -211"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 840 mod 720"
},
{
"role": "assistant",
"content": "<reasoning>\n840 mod 720: 840 = 720 × 1 + 120, so remainder = 120.\n</reasoning>\nFinal Answer: 120"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "363 is what percentage of 695?"
},
{
"role": "assistant",
"content": "<reasoning>\n(363/695) × 100 = 52.2302%.\n</reasoning>\nFinal Answer: 52.2302%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -168 × 961"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -168 by 961: -168 × 961 = -161448.\n</reasoning>\nFinal Answer: -161448"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹28334 at 10% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 28334 × 10 × 5 / 100 = 14167.0.\n</reasoning>\nFinal Answer: 14167.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:28 and A = 29, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/28, so B = A × (28/23) = 29 × 28/23 = 35.3043.\n</reasoning>\nFinal Answer: 35.3043"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 8/11 + 10/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/11 + 10/19. Common denominator = 209. Result = 262/209.\n</reasoning>\nFinal Answer: 262/209"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 845 - 928"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 928 from 845: 845 - 928 = -83.\n</reasoning>\nFinal Answer: -83"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 30 = -670"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 25x = -700. Divide by 25: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [64, 62, 60, 70, 2]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 60, 62, 64, 70]. Middle value(s) → median = 62.\n</reasoning>\nFinal Answer: 62"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (34 + 18) * (26 - 38)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (34+18)=52, (26-38)=-12, then 52×-12=-624.\n</reasoning>\nFinal Answer: -624"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 3/10 * 5/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/10) × (5/1) = (15/10) = 3/2 after simplification.\n</reasoning>\nFinal Answer: 3/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [84, 97, 1, 28, 52, 98, 69, 90, 98, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 28, 42, 52, 69, 84, 90, 97, 98, 98]. Middle value(s) → median = 76.5.\n</reasoning>\nFinal Answer: 76.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 3/13 + 1/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/13 + 1/12. Common denominator = 156. Result = 49/156.\n</reasoning>\nFinal Answer: 49/156"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:48 and A = 89, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/48, so B = A × (48/2) = 89 × 48/2 = 2136.0.\n</reasoning>\nFinal Answer: 2136.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 7/4 - 5/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/4 - 5/16. LCD = 16. Result = 23/16.\n</reasoning>\nFinal Answer: 23/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 140 km/h. How far does it travel in 5 hours and 25 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 25/60 = 5.4167 hours. Distance = speed × time = 140 × 5.4167 = 758.3333 km.\n</reasoning>\nFinal Answer: 758.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 332 - -434"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -434 from 332: 332 - -434 = 766.\n</reasoning>\nFinal Answer: 766"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -110 × -806"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -110 by -806: -110 × -806 = 88660.\n</reasoning>\nFinal Answer: 88660"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:38 and A = 2, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/38, so B = A × (38/30) = 2 × 38/30 = 2.5333.\n</reasoning>\nFinal Answer: 2.5333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -776 × -779"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -776 by -779: -776 × -779 = 604504.\n</reasoning>\nFinal Answer: 604504"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/9 - 7/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/9 - 7/1. LCD = 3. Result = -19/3.\n</reasoning>\nFinal Answer: -19/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 39 ** 2 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 39²=1521, then 37+1521-4=1554.\n</reasoning>\nFinal Answer: 1554"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 49 and common difference 10, find the 39th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 49 + (39-1)×10 = 49 + 380 = 429.\n</reasoning>\nFinal Answer: 429"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 40 * 37 - 18"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 40×37=1480, then 9+1480-18=1471.\n</reasoning>\nFinal Answer: 1471"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 290 + 647"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 290 and 647: 290 + 647 = 937.\n</reasoning>\nFinal Answer: 937"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 723 ÷ 781"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 723 by 781. 723 ÷ 781 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:15 and A = 7, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/15, so B = A × (15/1) = 7 × 15/1 = 105.0.\n</reasoning>\nFinal Answer: 105.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (48 + 15) * (47 - 50)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (48+15)=63, (47-50)=-3, then 63×-3=-189.\n</reasoning>\nFinal Answer: -189"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 739 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 739 × (1 - 75/100) = 739 × 0.25 = 184.75.\n</reasoning>\nFinal Answer: 184.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -20 = 82"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 3x = 102. Divide by 3: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 149 apples and buys 71 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 149 + 71 = 220.\n</reasoning>\nFinal Answer: 220"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 16 * 41 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 16×41=656, then 48+656-6=698.\n</reasoning>\nFinal Answer: 698"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 75% of 671?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 671 = (75/100) × 671 = 503.25.\n</reasoning>\nFinal Answer: 503.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 3/20 / 15/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/20) ÷ (15/11) = (3/20) × (11/15) = 11/100.\n</reasoning>\nFinal Answer: 11/100"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 371 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 371 × (1 - 5/100) = 371 × 0.95 = 352.45.\n</reasoning>\nFinal Answer: 352.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 7/3 * 5/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/3) × (5/18) = (35/54) = 35/54 after simplification.\n</reasoning>\nFinal Answer: 35/54"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹30164 at 11% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 30164 × 11 × 4 / 100 = 13272.16.\n</reasoning>\nFinal Answer: 13272.16"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 199 apples and buys 177 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 199 + 177 = 376.\n</reasoning>\nFinal Answer: 376"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [5, 8, 11] and B = [1, 17, 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 perimeter of a triangle with sides 15, 25, and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 15 + 25 + 38 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:49 and A = 97, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/49, so B = A × (49/4) = 97 × 49/4 = 1188.25.\n</reasoning>\nFinal Answer: 1188.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:24 and A = 33, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/24, so B = A × (24/44) = 33 × 24/44 = 18.0.\n</reasoning>\nFinal Answer: 18.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 168 km apart. Their speeds are 53 km/h and 41 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 53+41=94 km/h. Time = 168/94 = 1.7872 hours.\n</reasoning>\nFinal Answer: ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 79 and height 58."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 79 × 58 = 4582.\n</reasoning>\nFinal Answer: 4582"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 122 + 901"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 122 and 901: 122 + 901 = 1023.\n</reasoning>\nFinal Answer: 1023"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:19 and A = 93, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/19, so B = A × (19/31) = 93 × 19/31 = 57.0.\n</reasoning>\nFinal Answer: 57.0"
}
] | medium | [
"ratio",
"proportion"
] |
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