messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "9 workers can complete a job in 17 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 17 = 153 worker-days. New time = 153 / 3 = 51.0 days.\n</reasoning>\nFinal Answer: 51.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 10 and common difference 11, find the 38th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 10 + (38-1)×11 = 10 + 407 = 417.\n</reasoning>\nFinal Answer: 417"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 11 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 11 = 77 worker-days. New time = 77 / 2 = 38.5 days.\n</reasoning>\nFinal Answer: 38.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -875 - 394"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 394 from -875: -875 - 394 = -1269.\n</reasoning>\nFinal Answer: -1269"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -987 × 125"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -987 by 125: -987 × 125 = -123375.\n</reasoning>\nFinal Answer: -123375"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [18, 85, 39, 9, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 218/5 = 43.6.\n</reasoning>\nFinal Answer: 43.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -40 = 932"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 27x = 972. Divide by 27: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -735 - -577"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -577 from -735: -735 - -577 = -158.\n</reasoning>\nFinal Answer: -158"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 102 km/h. How far does it travel in 9 hours and 53 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 53/60 = 9.8833 hours. Distance = speed × time = 102 × 9.8833 = 1008.1 km.\n</reasoning>\nFinal Answer: 1008.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 * 3 + 19 * 49"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 33×3=99 and 19×49=931, then add: 1030.\n</reasoning>\nFinal Answer: 1030"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [39, 59, 79, 99, 119]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 39 and common difference 20. Next term = 119 + 20 = 139.\n</reasoning>\nFinal Answer: 139"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -36 = 22"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 29x = 58. Divide by 29: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -309 mod -951"
},
{
"role": "assistant",
"content": "<reasoning>\n-309 mod -951: -309 = -951 × 0 + -309, so remainder = -309.\n</reasoning>\nFinal Answer: -309"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/18 / 10/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/18) ÷ (10/11) = (1/18) × (11/10) = 11/180.\n</reasoning>\nFinal Answer: 11/180"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 30 and 18."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (30×18)/6 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 793 × 941"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 793 by 941: 793 × 941 = 746213.\n</reasoning>\nFinal Answer: 746213"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 8/7 * 11/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/7) × (11/18) = (88/126) = 44/63 after simplification.\n</reasoning>\nFinal Answer: 44/63"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 22 * 39 - 36"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 22×39=858, then 12+858-36=834.\n</reasoning>\nFinal Answer: 834"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -271 × -833"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -271 by -833: -271 × -833 = 225743.\n</reasoning>\nFinal Answer: 225743"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/15 + 19/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/15 + 19/15. Common denominator = 15. Result = 34/15.\n</reasoning>\nFinal Answer: 34/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [32, 46, 60, 74, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 32 and common difference 14. Next term = 88 + 14 = 102.\n</reasoning>\nFinal Answer: 102"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "1 is what percentage of 84?"
},
{
"role": "assistant",
"content": "<reasoning>\n(1/84) × 100 = 1.1905%.\n</reasoning>\nFinal Answer: 1.1905%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹44521 at 9% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 44521 × 9 × 6 / 100 = 24041.34.\n</reasoning>\nFinal Answer: 24041.34"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 821 km apart. Their speeds are 97 km/h and 74 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 97+74=171 km/h. Time = 821/171 = 4.8012 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 183 and 158."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(183,158) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -922 - 365"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 365 from -922: -922 - 365 = -1287.\n</reasoning>\nFinal Answer: -1287"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 + 25 * 14 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 25×14=350, then 2+350-19=333.\n</reasoning>\nFinal Answer: 333"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:24 and A = 20, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/24, so B = A × (24/3) = 20 × 24/3 = 160.0.\n</reasoning>\nFinal Answer: 160.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 7% of 394?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 394 = (7/100) × 394 = 27.58.\n</reasoning>\nFinal Answer: 27.58"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:3 and A = 29, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/3, so B = A × (3/13) = 29 × 3/13 = 6.6923.\n</reasoning>\nFinal Answer: 6.6923"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 16/10 - 2/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/10 - 2/16. LCD = 40. Result = 59/40.\n</reasoning>\nFinal Answer: 59/40"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 36 ** 2 - 10"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 36²=1296, then 19+1296-10=1305.\n</reasoning>\nFinal Answer: 1305"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [23, 43, 8, 71, 95, 17, 94, 59, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 17, 23, 43, 55, 59, 71, 94, 95]. Middle value(s) → median = 55.\n</reasoning>\nFinal Answer: 55"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 * 3 + 13 * 46"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 50×3=150 and 13×46=598, then add: 748.\n</reasoning>\nFinal Answer: 748"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [26, 54, 27, 64, 83, 52, 76, 81, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 26, 27, 52, 54, 64, 76, 81, 83]. Middle value(s) → median = 54.\n</reasoning>\nFinal Answer: 54"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 16, 50 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (16+50) × 13 = 429.0.\n</reasoning>\nFinal Answer: 429.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 * 22 + 47 * 43"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 40×22=880 and 47×43=2021, then add: 2901.\n</reasoning>\nFinal Answer: 2901"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 66 and height 56."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 66 × 56 = 3696.\n</reasoning>\nFinal Answer: 3696"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹24593 at 18% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 24593 × 18 × 5 / 100 = 22133.7.\n</reasoning>\nFinal Answer: 22133.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:15 and A = 93, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/15, so B = A × (15/2) = 93 × 15/2 = 697.5.\n</reasoning>\nFinal Answer: 697.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:16 and A = 4, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/16, so B = A × (16/21) = 4 × 16/21 = 3.0476.\n</reasoning>\nFinal Answer: 3.0476"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 931 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 7%: 931 × (1 + 7/100) = 931 × 1.07 = 996.17.\n</reasoning>\nFinal Answer: 996.17"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:46 and A = 5, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/46, so B = A × (46/46) = 5 × 46/46 = 5.0.\n</reasoning>\nFinal Answer: 5.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [36, 50, 64, 78, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 36 and common difference 14. Next term = 92 + 14 = 106.\n</reasoning>\nFinal Answer: 106"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 23 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 23 = 437 worker-days. New time = 437 / 17 = 25.7059 days.\n</reasoning>\nFinal Answer: 25.7059"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 50 = 18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 2x = -32. Divide by 2: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹523. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 523 × 18/100 = 94.14. Total = 523 + 94.14 = 617.14.\n</reasoning>\nFinal Answer: 617.14"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "List all positive factors of 27."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 27: factors are [1, 3, 9, 27].\n</reasoning>\nFinal Answer: [1, 3, 9, 27]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Calculate: -668 × 336"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -668 by 336: -668 × 336 = -224448.\n</reasoning>\nFinal Answer: -224448"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -267 + -533"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -267 and -533: -267 + -533 = -800.\n</reasoning>\nFinal Answer: -800"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -13 = -497"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 22x = -484. Divide by 22: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:4 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/4, so B = A × (4/35) = 51 × 4/35 = 5.8286.\n</reasoning>\nFinal Answer: 5.8286"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -1 = -904"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 21x = -903. Divide by 21: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [67, 3, 3, 63, 54, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 283/6 = 47.1667.\n</reasoning>\nFinal Answer: 47.1667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 278 mod 348"
},
{
"role": "assistant",
"content": "<reasoning>\n278 mod 348: 278 = 348 × 0 + 278, so remainder = 278.\n</reasoning>\nFinal Answer: 278"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 41 * 11 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 41×11=451, then 23+451-9=465.\n</reasoning>\nFinal Answer: 465"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 15 ** 2 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 15²=225, then 37+225-46=216.\n</reasoning>\nFinal Answer: 216"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 29 ** 2 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 29²=841, then 33+841-42=832.\n</reasoning>\nFinal Answer: 832"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (48)x + (144) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 48² - 4×4×144 = 0. √discriminant = 0. x = (-(48) ± 0) / (2×4). Solutions: x = -6 (double root).\n</reasoning>\nFinal Answer: x = -6 (double roo... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 19/13 - 3/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/13 - 3/2. LCD = 26. Result = -1/26.\n</reasoning>\nFinal Answer: -1/26"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -310 ÷ -479"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -310 by -479. -310 ÷ -479 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 780 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 780 × (1 - 30/100) = 780 × 0.7 = 546.0.\n</reasoning>\nFinal Answer: 546.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 96 and 166."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(96,166) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "An item costs ₹3897. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3897 × 12/100 = 467.64. Total = 3897 + 467.64 = 4364.64.\n</reasoning>\nFinal Answer: 4364.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [60, 27, 63, 74, 47, 91, 68, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 21 = 70.\n</reasoning>\nFinal Answer: 70"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 12, 33 and height 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (12+33) × 35 = 787.5.\n</reasoning>\nFinal Answer: 787.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 812 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 812 × (1 + 17/100) = 812 × 1.17 = 950.04.\n</reasoning>\nFinal Answer: 950.04"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 364 ÷ -966"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 364 by -966. 364 ÷ -966 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 + 47 ** 2 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 47²=2209, then 2+2209-3=2208.\n</reasoning>\nFinal Answer: 2208"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 2/7 * 7/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/7) × (7/13) = (14/91) = 2/13 after simplification.\n</reasoning>\nFinal Answer: 2/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 558 mod 474"
},
{
"role": "assistant",
"content": "<reasoning>\n558 mod 474: 558 = 474 × 1 + 84, so remainder = 84.\n</reasoning>\nFinal Answer: 84"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 97 + -874"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 97 and -874: 97 + -874 = -777.\n</reasoning>\nFinal Answer: -777"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 30 and 12."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (30×12)/6 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:5 and A = 47, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/5, so B = A × (5/44) = 47 × 5/44 = 5.3409.\n</reasoning>\nFinal Answer: 5.3409"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 43 = -818"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 21x = -861. Divide by 21: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 192 apples and buys 194 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 192 + 194 = 386.\n</reasoning>\nFinal Answer: 386"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹1186. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1186 × 18/100 = 213.48. Total = 1186 + 213.48 = 1399.48.\n</reasoning>\nFinal Answer: 1399.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -757 mod -908"
},
{
"role": "assistant",
"content": "<reasoning>\n-757 mod -908: -757 = -908 × 0 + -757, so remainder = -757.\n</reasoning>\nFinal Answer: -757"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 579 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 579 × (1 - 70/100) = 579 × 0.30000000000000004 = 173.7.\n</reasoning>\nFinal Answer: 173.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -782 + 146"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -782 and 146: -782 + 146 = -636.\n</reasoning>\nFinal Answer: -636"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [9, 7, 70, 51, 21, 22, 8, 44, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 70 - 7 = 63.\n</reasoning>\nFinal Answer: 63"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 576 km apart. Their speeds are 99 km/h and 77 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 99+77=176 km/h. Time = 576/176 = 3.2727 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 12, 42 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (12+42) × 5 = 135.0.\n</reasoning>\nFinal Answer: 135.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 4 = -887"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 27x = -891. Divide by 27: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹250. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 250 × 12/100 = 30.0. Total = 250 + 30.0 = 280.0.\n</reasoning>\nFinal Answer: 280.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [73, 51, 15, 11, 79, 21, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 315/7 = 45.0.\n</reasoning>\nFinal Answer: 45.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 4 * 13 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 4×13=52, then 30+52-2=80.\n</reasoning>\nFinal Answer: 80"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "80 is what percentage of 96?"
},
{
"role": "assistant",
"content": "<reasoning>\n(80/96) × 100 = 83.3333%.\n</reasoning>\nFinal Answer: 83.3333%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 1/12 + 18/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/12 + 18/20. Common denominator = 60. Result = 59/60.\n</reasoning>\nFinal Answer: 59/60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 10/11 * 14/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/11) × (14/11) = (140/121) = 140/121 after simplification.\n</reasoning>\nFinal Answer: 140/121"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [48, 94, 95, 8, 52, 17, 40, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 375/8 = 46.875.\n</reasoning>\nFinal Answer: 46.875"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -33 = 732"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 17x = 765. Divide by 17: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 24 × 67"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 24 by 67: 24 × 67 = 1608.\n</reasoning>\nFinal Answer: 1608"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [93, 28, 57, 98, 38, 23, 42, 93, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {93: 2, 28: 1, 57: 1, 98: 1, 38: 1, 23: 1, 42: 1, 33: 1}. Most frequent: 93.\n</reasoning>\nFinal Answer: 93"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹28878 at 20% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 28878 × 20 × 6 / 100 = 34653.6.\n</reasoning>\nFinal Answer: 34653.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 6, 9, 14, 17] and B = [9, 11, 12, 13, 14], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 6, 9, 11, 12, 13, 14, 17].\n</reasoning>\nFinal Answer: [1, 6, 9, 11, 12, 13, 14, 17... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 12 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 12 = 60 worker-days. New time = 60 / 6 = 10.0 days.\n</reasoning>\nFinal Answer: 10.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:26 and A = 42, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/26, so B = A × (26/25) = 42 × 26/25 = 43.68.\n</reasoning>\nFinal Answer: 43.68"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 9 and width 76."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 9 × 76 = 684.\n</reasoning>\nFinal Answer: 684"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 29 = -503"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 19x = -532. Divide by 19: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
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