messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 4/18 - 13/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/18 - 13/3. LCD = 9. Result = -37/9.\n</reasoning>\nFinal Answer: -37/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -232 mod -436"
},
{
"role": "assistant",
"content": "<reasoning>\n-232 mod -436: -232 = -436 × 0 + -232, so remainder = -232.\n</reasoning>\nFinal Answer: -232"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "139 is what percentage of 676?"
},
{
"role": "assistant",
"content": "<reasoning>\n(139/676) × 100 = 20.5621%.\n</reasoning>\nFinal Answer: 20.5621%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 404 mod 206"
},
{
"role": "assistant",
"content": "<reasoning>\n404 mod 206: 404 = 206 × 1 + 198, so remainder = 198.\n</reasoning>\nFinal Answer: 198"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 10 ** 2 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 10²=100, then 19+100-9=110.\n</reasoning>\nFinal Answer: 110"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [64, 67, 52, 65, 29, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {64: 1, 67: 1, 52: 1, 65: 1, 29: 1, 48: 1}. Most frequent: [64, 67, 52, 65, 29, 48].\n</reasoning>\nFinal Answer: [64, 67, 52, 65, 29, 48]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 * 32 + 43 * 15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 28×32=896 and 43×15=645, then add: 1541.\n</reasoning>\nFinal Answer: 1541"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 42 = 43"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 1x = 1. Divide by 1: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "35 is what percentage of 253?"
},
{
"role": "assistant",
"content": "<reasoning>\n(35/253) × 100 = 13.834%.\n</reasoning>\nFinal Answer: 13.834%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹1913 at 17% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 1913 × 17 × 7 / 100 = 2276.47.\n</reasoning>\nFinal Answer: 2276.47"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-6)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -6² - 4×2×0 = 36. √discriminant = 6. x = (-(-6) ± 6) / (2×2). Solutions: x = 3 or x = 0.\n</reasoning>\nFinal Answer: x = 3 or x = 0"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 6, 8, 11, 13, 15] and B = [1, 2, 12, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [2].\n</reasoning>\nFinal Answer: [2]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 698 km apart. Their speeds are 87 km/h and 84 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 87+84=171 km/h. Time = 698/171 = 4.0819 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 124 × 795"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 124 by 795: 124 × 795 = 98580.\n</reasoning>\nFinal Answer: 98580"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 909 km apart. Their speeds are 94 km/h and 116 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 94+116=210 km/h. Time = 909/210 = 4.3286 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 985 ÷ -107"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 985 by -107. 985 ÷ -107 = -10 (integer division).\n</reasoning>\nFinal Answer: -10"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 65% of 627?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 627 = (65/100) × 627 = 407.55.\n</reasoning>\nFinal Answer: 407.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -539 mod 126"
},
{
"role": "assistant",
"content": "<reasoning>\n-539 mod 126: -539 = 126 × -5 + 91, so remainder = 91.\n</reasoning>\nFinal Answer: 91"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [89, 58, 66, 74, 68, 86, 49, 1, 2]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 2, 49, 58, 66, 68, 74, 86, 89]. Middle value(s) → median = 66.\n</reasoning>\nFinal Answer: 66"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Increase 981 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 981 × (1 + 3/100) = 981 × 1.03 = 1010.43.\n</reasoning>\nFinal Answer: 1010.43"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹3449. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3449 × 12/100 = 413.88. Total = 3449 + 413.88 = 3862.88.\n</reasoning>\nFinal Answer: 3862.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 19 = -872"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 27x = -891. Divide by 27: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:13 and A = 5, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/13, so B = A × (13/43) = 5 × 13/43 = 1.5116.\n</reasoning>\nFinal Answer: 1.5116"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 80 and width 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 80 × 28 = 2240.\n</reasoning>\nFinal Answer: 2240"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 881 km apart. Their speeds are 45 km/h and 80 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 45+80=125 km/h. Time = 881/125 = 7.048 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -34 = -62"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 14x = -28. Divide by 14: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 40, 36 and height 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (40+36) × 36 = 1368.0.\n</reasoning>\nFinal Answer: 1368.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 94 and height 87."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 94 × 87 = 4089.0.\n</reasoning>\nFinal Answer: 4089.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 25 and width 79."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 25 × 79 = 1975.\n</reasoning>\nFinal Answer: 1975"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 149 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 149 × (1 + 45/100) = 149 × 1.45 = 216.05.\n</reasoning>\nFinal Answer: 216.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 14] and B = [3, 14, 15], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 4].\n</reasoning>\nFinal Answer: [2, 4]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 44 and common difference 17, find the 31th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 44 + (31-1)×17 = 44 + 510 = 554.\n</reasoning>\nFinal Answer: 554"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the median of: [34, 33, 53, 38, 21, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [21, 33, 34, 38, 53, 98]. Middle value(s) → median = 36.0.\n</reasoning>\nFinal Answer: 36.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -7 = -704"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 17x = -697. Divide by 17: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 29 ÷ 963"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 29 by 963. 29 ÷ 963 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 17% of 170?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 170 = (17/100) × 170 = 28.9.\n</reasoning>\nFinal Answer: 28.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -160 + -746"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -160 and -746: -160 + -746 = -906.\n</reasoning>\nFinal Answer: -906"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 16/1 * 18/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/1) × (18/11) = (288/11) = 288/11 after simplification.\n</reasoning>\nFinal Answer: 288/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 5% of 755?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 755 = (5/100) × 755 = 37.75.\n</reasoning>\nFinal Answer: 37.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 8 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 8 = 64 worker-days. New time = 64 / 14 = 4.5714 days.\n</reasoning>\nFinal Answer: 4.5714"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 * 7 + 18 * 2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 1×7=7 and 18×2=36, then add: 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 359 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 10%: 359 × (1 - 10/100) = 359 × 0.9 = 323.1.\n</reasoning>\nFinal Answer: 323.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 455 - -234"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -234 from 455: 455 - -234 = 689.\n</reasoning>\nFinal Answer: 689"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -19 = 179"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 9x = 198. Divide by 9: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹126. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 126 × 5/100 = 6.3. Total = 126 + 6.3 = 132.3.\n</reasoning>\nFinal Answer: 132.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 17 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 17 × 11 = 93.5.\n</reasoning>\nFinal Answer: 93.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [15, 30, 3, 38, 5, 72, 5, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 5, 5, 15, 26, 30, 38, 72]. Middle value(s) → median = 20.5.\n</reasoning>\nFinal Answer: 20.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 79 and height 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 79 × 44 = 1738.0.\n</reasoning>\nFinal Answer: 1738.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 269 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 269 × (1 + 40/100) = 269 × 1.4 = 376.6.\n</reasoning>\nFinal Answer: 376.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [80, 94, 44, 9, 3, 26, 55, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 7, 9, 26, 44, 55, 80, 94]. Middle value(s) → median = 35.0.\n</reasoning>\nFinal Answer: 35.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "An item costs ₹4417. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4417 × 18/100 = 795.06. Total = 4417 + 795.06 = 5212.06.\n</reasoning>\nFinal Answer: 5212.06"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹8905 at 7% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 8905 × 7 × 2 / 100 = 1246.7.\n</reasoning>\nFinal Answer: 1246.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹4370. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4370 × 18/100 = 786.6. Total = 4370 + 786.6 = 5156.6.\n</reasoning>\nFinal Answer: 5156.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 15/1 / 20/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/1) ÷ (20/11) = (15/1) × (11/20) = 33/4.\n</reasoning>\nFinal Answer: 33/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -577 - 352"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 352 from -577: -577 - 352 = -929.\n</reasoning>\nFinal Answer: -929"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 39 = 564"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 25x = 525. Divide by 25: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 2 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 2 × (1 + 80/100) = 2 × 1.8 = 3.6.\n</reasoning>\nFinal Answer: 3.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 7, 8, 12, 13, 18] and B = [3, 5, 8, 9, 12, 14, 16], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 4, 7, 13, 18].\n</reasoning>\nFinal Answer: [2, 4, 7, 13, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 31 = 1231"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 24x = 1200. Divide by 24: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 115 km/h. How far does it travel in 11 hours and 13 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 13/60 = 11.2167 hours. Distance = speed × time = 115 × 11.2167 = 1289.9167 km.\n</reasoning>\nFinal Answer: 1289.9167"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:9 and A = 96, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/9, so B = A × (9/16) = 96 × 9/16 = 54.0.\n</reasoning>\nFinal Answer: 54.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 4/16 * 15/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/16) × (15/10) = (60/160) = 3/8 after simplification.\n</reasoning>\nFinal Answer: 3/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 5% of 138?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 138 = (5/100) × 138 = 6.9.\n</reasoning>\nFinal Answer: 6.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -985 ÷ 867"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -985 by 867. -985 ÷ 867 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [3, 9, 12] and B = [1, 9, 12], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 9, 12].\n</reasoning>\nFinal Answer: [1, 3, 9, 12]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹14522 at 5% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 14522 × 5 × 3 / 100 = 2178.3.\n</reasoning>\nFinal Answer: 2178.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 15, 18] and B = [5, 10, 13, 16], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [3, 4, 15, 18].\n</reasoning>\nFinal Answer: [3, 4, 15, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 13/20 / 2/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/20) ÷ (2/20) = (13/20) × (20/2) = 13/2.\n</reasoning>\nFinal Answer: 13/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -24 = -192"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 6x = -168. Divide by 6: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 10 = 829"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 21x = 819. Divide by 21: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 5/14 - 13/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/14 - 13/13. LCD = 14. Result = -9/14.\n</reasoning>\nFinal Answer: -9/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 47 and width 66."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(47+66) = 2×113 = 226.\n</reasoning>\nFinal Answer: 226"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 * 19 + 35 * 25"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 14×19=266 and 35×25=875, then add: 1141.\n</reasoning>\nFinal Answer: 1141"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "239 is what percentage of 622?"
},
{
"role": "assistant",
"content": "<reasoning>\n(239/622) × 100 = 38.4244%.\n</reasoning>\nFinal Answer: 38.4244%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "A train travels at 152 km/h. How far does it travel in 11 hours and 23 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 23/60 = 11.3833 hours. Distance = speed × time = 152 × 11.3833 = 1730.2667 km.\n</reasoning>\nFinal Answer: 1730.2667"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "List all positive factors of 50."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 50: factors are [1, 2, 5, 10, 25, 50].\n</reasoning>\nFinal Answer: [1, 2, 5, 10, 25, 50]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Find the median of: [76, 55, 43, 8, 80, 24, 49, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 24, 43, 49, 55, 68, 76, 80]. Middle value(s) → median = 52.0.\n</reasoning>\nFinal Answer: 52.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -131 ÷ -538"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -131 by -538. -131 ÷ -538 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 778 km apart. Their speeds are 120 km/h and 101 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 120+101=221 km/h. Time = 778/221 = 3.5204 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 + 39 ** 2 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 39²=1521, then 5+1521-9=1517.\n</reasoning>\nFinal Answer: 1517"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 4/2 / 19/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/2) ÷ (19/10) = (4/2) × (10/19) = 20/19.\n</reasoning>\nFinal Answer: 20/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 25 * 8 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 25×8=200, then 10+200-44=166.\n</reasoning>\nFinal Answer: 166"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [56, 64, 36, 80, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 80 - 6 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹23005 at 6% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 23005 × 6 × 9 / 100 = 12422.7.\n</reasoning>\nFinal Answer: 12422.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 13 and common difference 10, find the 37th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 13 + (37-1)×10 = 13 + 360 = 373.\n</reasoning>\nFinal Answer: 373"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:40 and A = 29, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/40, so B = A × (40/5) = 29 × 40/5 = 232.0.\n</reasoning>\nFinal Answer: 232.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [38, 39, 40, 41, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 38 and common difference 1. Next term = 42 + 1 = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 6, 9, 10, 13, 17] and B = [7, 9, 10], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 4, 6, 13, 17].\n</reasoning>\nFinal Answer: [1, 4, 6, 13, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 887 + -252"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 887 and -252: 887 + -252 = 635.\n</reasoning>\nFinal Answer: 635"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 24 and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (24×35)/1 = 840.\n</reasoning>\nFinal Answer: 840"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 18/3 * 4/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/3) × (4/12) = (72/36) = 2 after simplification.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 70% of 185?"
},
{
"role": "assistant",
"content": "<reasoning>\n70% of 185 = (70/100) × 185 = 129.5.\n</reasoning>\nFinal Answer: 129.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (27 + 48) * (28 - 5)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (27+48)=75, (28-5)=23, then 75×23=1725.\n</reasoning>\nFinal Answer: 1725"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 197 ÷ -4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 197 by -4. 197 ÷ -4 = -50 (integer division).\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/20 / 14/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/20) ÷ (14/3) = (15/20) × (3/14) = 9/56.\n</reasoning>\nFinal Answer: 9/56"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 30% of 965?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 965 = (30/100) × 965 = 289.5.\n</reasoning>\nFinal Answer: 289.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -10 = 619"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 17x = 629. Divide by 17: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:2 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/2, so B = A × (2/32) = 75 × 2/32 = 4.6875.\n</reasoning>\nFinal Answer: 4.6875"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 41 and width 79."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(41+79) = 2×120 = 240.\n</reasoning>\nFinal Answer: 240"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 * 11 + 24 * 49"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 49×11=539 and 24×49=1176, then add: 1715.\n</reasoning>\nFinal Answer: 1715"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
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