messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the area of a triangle with base 75 and height 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 75 × 24 = 900.0.\n</reasoning>\nFinal Answer: 900.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 2/3 / 16/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/3) ÷ (16/12) = (2/3) × (12/16) = 1/2.\n</reasoning>\nFinal Answer: 1/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -738 + 735"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -738 and 735: -738 + 735 = -3.\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/17 - 5/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/17 - 5/9. LCD = 153. Result = -58/153.\n</reasoning>\nFinal Answer: -58/153"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 1000 × -797"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 1000 by -797: 1000 × -797 = -797000.\n</reasoning>\nFinal Answer: -797000"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:26 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/26, so B = A × (26/16) = 74 × 26/16 = 120.25.\n</reasoning>\nFinal Answer: 120.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [10, 17, 18] and B = [1, 5, 6, 7, 12, 15], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 5, 6, 7, 10, 12, 15, 17, 18].\n</reasoning>\nFinal Answer: [1, 5, 6, 7, 10, 12, 15, 17, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 6 ** 2 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 6²=36, then 21+36-27=30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 15% of 867?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 867 = (15/100) × 867 = 130.05.\n</reasoning>\nFinal Answer: 130.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 10/16 - 4/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/16 - 4/1. LCD = 8. Result = -27/8.\n</reasoning>\nFinal Answer: -27/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:40 and A = 67, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/40, so B = A × (40/8) = 67 × 40/8 = 335.0.\n</reasoning>\nFinal Answer: 335.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find log base 2 of 256."
},
{
"role": "assistant",
"content": "<reasoning>\nlog_2(256) = 8 because 2^8 = 256.\n</reasoning>\nFinal Answer: 8"
}
] | medium | [
"logarithms"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 17 = -483"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 20x = -500. Divide by 20: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "6 workers can complete a job in 21 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 6 × 21 = 126 worker-days. New time = 126 / 17 = 7.4118 days.\n</reasoning>\nFinal Answer: 7.4118"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 130 - -762"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -762 from 130: 130 - -762 = 892.\n</reasoning>\nFinal Answer: 892"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [30, 35, 37, 86, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 277/5 = 55.4.\n</reasoning>\nFinal Answer: 55.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -7 = 354"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 19x = 361. Divide by 19: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 10% of 708?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 708 = (10/100) × 708 = 70.8.\n</reasoning>\nFinal Answer: 70.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:1 and A = 64, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/1, so B = A × (1/23) = 64 × 1/23 = 2.7826.\n</reasoning>\nFinal Answer: 2.7826"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 90% of 262?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 262 = (90/100) × 262 = 235.8.\n</reasoning>\nFinal Answer: 235.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:3 and A = 45, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/3, so B = A × (3/9) = 45 × 3/9 = 15.0.\n</reasoning>\nFinal Answer: 15.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 995 ÷ -210"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 995 by -210. 995 ÷ -210 = -5 (integer division).\n</reasoning>\nFinal Answer: -5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹2288. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2288 × 5/100 = 114.4. Total = 2288 + 114.4 = 2402.4.\n</reasoning>\nFinal Answer: 2402.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 86 and width 98."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(86+98) = 2×184 = 368.\n</reasoning>\nFinal Answer: 368"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -46 + -280"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -46 and -280: -46 + -280 = -326.\n</reasoning>\nFinal Answer: -326"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 207 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 207 × (1 + 90/100) = 207 × 1.9 = 393.3.\n</reasoning>\nFinal Answer: 393.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 506 km apart. Their speeds are 114 km/h and 58 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 114+58=172 km/h. Time = 506/172 = 2.9419 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 64 and 54."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(64,54) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 24 = 599"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 25x = 575. Divide by 25: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -47 = -495"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 14x = -448. Divide by 14: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 373 mod 138"
},
{
"role": "assistant",
"content": "<reasoning>\n373 mod 138: 373 = 138 × 2 + 97, so remainder = 97.\n</reasoning>\nFinal Answer: 97"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [64, 95, 89, 97, 14, 16, 91, 52, 94, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {64: 1, 95: 1, 89: 1, 97: 1, 14: 1, 16: 1, 91: 1, 52: 1, 94: 1, 43: 1}. Most frequent: [64, 95, 89, 97, 14, 16, 91, 52, 94, 43].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹22648 at 12% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 22648 × 12 × 10 / 100 = 27177.6.\n</reasoning>\nFinal Answer: 27177.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 19/11 - 10/11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/11 - 10/11. LCD = 11. Result = 9/11.\n</reasoning>\nFinal Answer: 9/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [4, 10, 16, 22, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 4 and common difference 6. Next term = 28 + 6 = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 5 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 5 = 45 worker-days. New time = 45 / 18 = 2.5 days.\n</reasoning>\nFinal Answer: 2.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (43 + 47) * (15 - 22)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (43+47)=90, (15-22)=-7, then 90×-7=-630.\n</reasoning>\nFinal Answer: -630"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 10/13 - 8/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/13 - 8/10. LCD = 65. Result = -2/65.\n</reasoning>\nFinal Answer: -2/65"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [18, 63, 84, 79, 53, 4, 94, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {18: 1, 63: 1, 84: 1, 79: 1, 53: 1, 4: 1, 94: 1, 57: 1}. Most frequent: [18, 63, 84, 79, 53, 4, 94, 57].\n</reasoning>\nFinal Answer: [18, 63, 84... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 30 and common difference 17, find the 45th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 30 + (45-1)×17 = 30 + 748 = 778.\n</reasoning>\nFinal Answer: 778"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -322 ÷ 866"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -322 by 866. -322 ÷ 866 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -30 = 540"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 30x = 570. Divide by 30: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 85 and 155."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(85,155) = 5.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹6670 at 2% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 6670 × 2 × 2 / 100 = 266.8.\n</reasoning>\nFinal Answer: 266.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹1467 at 17% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 1467 × 17 × 10 / 100 = 2493.9.\n</reasoning>\nFinal Answer: 2493.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 10% of 224?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 224 = (10/100) × 224 = 22.4.\n</reasoning>\nFinal Answer: 22.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [42, 28, 57, 91, 81, 35, 99, 91, 65, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [28, 35, 42, 51, 57, 65, 81, 91, 91, 99]. Middle value(s) → median = 61.0.\n</reasoning>\nFinal Answer: 61.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹3118 at 9% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 3118 × 9 × 1 / 100 = 280.62.\n</reasoning>\nFinal Answer: 280.62"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 16 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 16 × (1 + 80/100) = 16 × 1.8 = 28.8.\n</reasoning>\nFinal Answer: 28.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 19/7 - 11/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/7 - 11/16. LCD = 112. Result = 227/112.\n</reasoning>\nFinal Answer: 227/112"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [88, 85, 11, 97, 57, 75, 57, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 11 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mean of: [71, 4, 69, 33, 91, 10, 57, 19, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 360/9 = 40.0.\n</reasoning>\nFinal Answer: 40.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 527 ÷ 858"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 527 by 858. 527 ÷ 858 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 96 and width 73."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 96 × 73 = 7008.\n</reasoning>\nFinal Answer: 7008"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 37 = 240"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 29x = 203. Divide by 29: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 61 and height 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 61 × 27 = 823.5.\n</reasoning>\nFinal Answer: 823.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 51 km/h. How far does it travel in 4 hours and 16 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 16/60 = 4.2667 hours. Distance = speed × time = 51 × 4.2667 = 217.6 km.\n</reasoning>\nFinal Answer: 217.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 840 - -249"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -249 from 840: 840 - -249 = 1089.\n</reasoning>\nFinal Answer: 1089"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 797 - 411"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 411 from 797: 797 - 411 = 386.\n</reasoning>\nFinal Answer: 386"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -398 mod 463"
},
{
"role": "assistant",
"content": "<reasoning>\n-398 mod 463: -398 = 463 × -1 + 65, so remainder = 65.\n</reasoning>\nFinal Answer: 65"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 41 and width 93."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 41 × 93 = 3813.\n</reasoning>\nFinal Answer: 3813"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 + 17 ** 2 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 17²=289, then 50+289-46=293.\n</reasoning>\nFinal Answer: 293"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 61 and width 41."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(61+41) = 2×102 = 204.\n</reasoning>\nFinal Answer: 204"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 16/8 + 16/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/8 + 16/19. Common denominator = 19. Result = 54/19.\n</reasoning>\nFinal Answer: 54/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [11, 12, 14, 15, 17, 18, 19] and B = [1, 9, 11, 13, 15, 16, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [12, 14, 17, 18].\n</reasoning>\nFinal Answer: [12, 14, 17, 18]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:32 and A = 39, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/32, so B = A × (32/50) = 39 × 32/50 = 24.96.\n</reasoning>\nFinal Answer: 24.96"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 1 and width 94."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 1 × 94 = 94.\n</reasoning>\nFinal Answer: 94"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -1 = 1127"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 24x = 1128. Divide by 24: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -882 + 8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -882 and 8: -882 + 8 = -874.\n</reasoning>\nFinal Answer: -874"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 43 = 218"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 25x = 175. Divide by 25: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:40 and A = 14, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/40, so B = A × (40/14) = 14 × 40/14 = 40.0.\n</reasoning>\nFinal Answer: 40.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 580 × -76"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 580 by -76: 580 × -76 = -44080.\n</reasoning>\nFinal Answer: -44080"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "68 is what percentage of 135?"
},
{
"role": "assistant",
"content": "<reasoning>\n(68/135) × 100 = 50.3704%.\n</reasoning>\nFinal Answer: 50.3704%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 7/7 * 20/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/7) × (20/7) = (140/49) = 20/7 after simplification.\n</reasoning>\nFinal Answer: 20/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 95 km/h. How far does it travel in 8 hours and 56 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 56/60 = 8.9333 hours. Distance = speed × time = 95 × 8.9333 = 848.6667 km.\n</reasoning>\nFinal Answer: 848.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 34 = 1339"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 29x = 1305. Divide by 29: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 * 42 + 14 * 29"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 41×42=1722 and 14×29=406, then add: 2128.\n</reasoning>\nFinal Answer: 2128"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 7/12 / 9/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/12) ÷ (9/4) = (7/12) × (4/9) = 7/27.\n</reasoning>\nFinal Answer: 7/27"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 459 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 459 × (1 - 12/100) = 459 × 0.88 = 403.92.\n</reasoning>\nFinal Answer: 403.92"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 45 and common difference 9, find the 47th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 45 + (47-1)×9 = 45 + 414 = 459.\n</reasoning>\nFinal Answer: 459"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 10 ** 2 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 10²=100, then 13+100-14=99.\n</reasoning>\nFinal Answer: 99"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 44 apples and buys 118 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 44 + 118 = 162.\n</reasoning>\nFinal Answer: 162"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 20 = -36"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 7x = -56. Divide by 7: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 25% of 336?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 336 = (25/100) × 336 = 84.0.\n</reasoning>\nFinal Answer: 84.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:43 and A = 14, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/43, so B = A × (43/43) = 14 × 43/43 = 14.0.\n</reasoning>\nFinal Answer: 14.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 60% of 901?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 901 = (60/100) × 901 = 540.6.\n</reasoning>\nFinal Answer: 540.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 6, 7, 10, 16, 17] and B = [3, 5, 16, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 5, 6, 7, 10, 17, 18].\n</reasoning>\nFinal Answer:... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 1/10 / 1/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/10) ÷ (1/14) = (1/10) × (14/1) = 7/5.\n</reasoning>\nFinal Answer: 7/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹1554. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1554 × 18/100 = 279.72. Total = 1554 + 279.72 = 1833.72.\n</reasoning>\nFinal Answer: 1833.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -50 = -14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 2x = 36. Divide by 2: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 46 and 42."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (46×42)/2 = 966.\n</reasoning>\nFinal Answer: 966"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 661 - -971"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -971 from 661: 661 - -971 = 1632.\n</reasoning>\nFinal Answer: 1632"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 55 apples and buys 32 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 55 + 32 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 75 and width 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 75 × 38 = 2850.\n</reasoning>\nFinal Answer: 2850"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:28 and A = 73, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/28, so B = A × (28/31) = 73 × 28/31 = 65.9355.\n</reasoning>\nFinal Answer: 65.9355"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [8, 75, 54, 23, 74, 26, 90, 50, 88, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 491/10 = 49.1.\n</reasoning>\nFinal Answer: 49.1"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 81 and 153."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(81,153) = 9.\n</reasoning>\nFinal Answer: 9"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -695 + -373"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -695 and -373: -695 + -373 = -1068.\n</reasoning>\nFinal Answer: -1068"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:9 and A = 29, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/9, so B = A × (9/36) = 29 × 9/36 = 7.25.\n</reasoning>\nFinal Answer: 7.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 103 apples and buys 163 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 103 + 163 = 266.\n</reasoning>\nFinal Answer: 266"
}
] | medium | [
"word_problem",
"applied_math"
] |
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