messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "28 is what percentage of 88?"
},
{
"role": "assistant",
"content": "<reasoning>\n(28/88) × 100 = 31.8182%.\n</reasoning>\nFinal Answer: 31.8182%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -659 ÷ -766"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -659 by -766. -659 ÷ -766 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:13 and A = 23, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/13, so B = A × (13/44) = 23 × 13/44 = 6.7955.\n</reasoning>\nFinal Answer: 6.7955"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹47162 at 19% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 47162 × 19 × 5 / 100 = 44803.9.\n</reasoning>\nFinal Answer: 44803.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 11 and width 81."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 11 × 81 = 891.\n</reasoning>\nFinal Answer: 891"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 851 ÷ -472"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 851 by -472. 851 ÷ -472 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -37 = 235"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 8x = 272. Divide by 8: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "473 is what percentage of 739?"
},
{
"role": "assistant",
"content": "<reasoning>\n(473/739) × 100 = 64.0054%.\n</reasoning>\nFinal Answer: 64.0054%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mode of: [22, 52, 97, 89, 20, 49, 9, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {22: 1, 52: 1, 97: 1, 89: 1, 20: 1, 49: 1, 9: 1, 3: 1}. Most frequent: [22, 52, 97, 89, 20, 49, 9, 3].\n</reasoning>\nFinal Answer: [22, 52, 97, 8... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -26 = 32"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 2x = 58. Divide by 2: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 35% of 183?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 183 = (35/100) × 183 = 64.05.\n</reasoning>\nFinal Answer: 64.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 198 km/h. How far does it travel in 5 hours and 21 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 21/60 = 5.3500 hours. Distance = speed × time = 198 × 5.3500 = 1059.3 km.\n</reasoning>\nFinal Answer: 1059.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 27 = 627"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 30x = 600. Divide by 30: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [19, 54, 44, 22, 22, 17, 12, 100, 93, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 462/10 = 46.2.\n</reasoning>\nFinal Answer: 46.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -6 = 417"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 9x = 423. Divide by 9: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -415 ÷ 234"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -415 by 234. -415 ÷ 234 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:31 and A = 37, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/31, so B = A × (31/7) = 37 × 31/7 = 163.8571.\n</reasoning>\nFinal Answer: 163.8571"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 9/6 + 13/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/6 + 13/13. Common denominator = 2. Result = 5/2.\n</reasoning>\nFinal Answer: 5/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 * 37 + 25 * 19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 31×37=1147 and 25×19=475, then add: 1622.\n</reasoning>\nFinal Answer: 1622"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 414 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 414 × (1 + 3/100) = 414 × 1.03 = 426.42.\n</reasoning>\nFinal Answer: 426.42"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [7, 67, 85, 53, 78, 39, 54, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 409/8 = 51.125.\n</reasoning>\nFinal Answer: 51.125"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Ravi has 124 apples and buys 126 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 124 + 126 = 250.\n</reasoning>\nFinal Answer: 250"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -28 = -84"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 7x = -56. Divide by 7: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 28 ** 2 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 28²=784, then 40+784-27=797.\n</reasoning>\nFinal Answer: 797"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 7/7 + 17/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/7 + 17/4. Common denominator = 4. Result = 21/4.\n</reasoning>\nFinal Answer: 21/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 6 and common difference 15, find the 40th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 6 + (40-1)×15 = 6 + 585 = 591.\n</reasoning>\nFinal Answer: 591"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (4)x + (-288) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 4² - 4×4×-288 = 4624. √discriminant = 68. x = (-(4) ± 68) / (2×4). Solutions: x = 8 or x = -9.\n</reasoning>\nFinal Answer: x = 8 or x = -9"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 10/10 - 18/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/10 - 18/4. LCD = 2. Result = -7/2.\n</reasoning>\nFinal Answer: -7/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 21 ** 2 - 23"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 21²=441, then 13+441-23=431.\n</reasoning>\nFinal Answer: 431"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -298 - 343"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 343 from -298: -298 - 343 = -641.\n</reasoning>\nFinal Answer: -641"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 3 = 84"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 3x = 81. Divide by 3: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [28, 47, 66, 85, 104]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 28 and common difference 19. Next term = 104 + 19 = 123.\n</reasoning>\nFinal Answer: 123"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 22 and 5."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (22×5)/1 = 110.\n</reasoning>\nFinal Answer: 110"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 5/5 / 8/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/5) ÷ (8/1) = (5/5) × (1/8) = 1/8.\n</reasoning>\nFinal Answer: 1/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [13, 73, 34, 3, 34, 53, 50, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 266/8 = 33.25.\n</reasoning>\nFinal Answer: 33.25"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -99 - -234"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -234 from -99: -99 - -234 = 135.\n</reasoning>\nFinal Answer: 135"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 11 and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (11×36)/1 = 396.\n</reasoning>\nFinal Answer: 396"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 18 - 668"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 668 from 18: 18 - 668 = -650.\n</reasoning>\nFinal Answer: -650"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -370 mod 590"
},
{
"role": "assistant",
"content": "<reasoning>\n-370 mod 590: -370 = 590 × -1 + 220, so remainder = 220.\n</reasoning>\nFinal Answer: 220"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 12 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 12 = 108 worker-days. New time = 108 / 10 = 10.8 days.\n</reasoning>\nFinal Answer: 10.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -79 - -932"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -932 from -79: -79 - -932 = 853.\n</reasoning>\nFinal Answer: 853"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:13 and A = 95, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/13, so B = A × (13/36) = 95 × 13/36 = 34.3056.\n</reasoning>\nFinal Answer: 34.3056"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -28 = -213"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 5x = -185. Divide by 5: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 * 5 + 45 * 5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 18×5=90 and 45×5=225, then add: 315.\n</reasoning>\nFinal Answer: 315"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 1 and width 96."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 1 × 96 = 96.\n</reasoning>\nFinal Answer: 96"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹21548 at 10% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 21548 × 10 × 4 / 100 = 8619.2.\n</reasoning>\nFinal Answer: 8619.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 830 km apart. Their speeds are 110 km/h and 63 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 110+63=173 km/h. Time = 830/173 = 4.7977 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 21 * 21 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 21×21=441, then 25+441-7=459.\n</reasoning>\nFinal Answer: 459"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 3 = -657"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 15x = -660. Divide by 15: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 19 and common difference 15, find the 19th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 19 + (19-1)×15 = 19 + 270 = 289.\n</reasoning>\nFinal Answer: 289"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [60, 67, 84, 8, 13, 1, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 276/7 = 39.4286.\n</reasoning>\nFinal Answer: 39.4286"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 19/13 * 20/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/13) × (20/14) = (380/182) = 190/91 after simplification.\n</reasoning>\nFinal Answer: 190/91"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 85 and height 81."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 85 × 81 = 3442.5.\n</reasoning>\nFinal Answer: 3442.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 28 ** 2 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 28²=784, then 42+784-41=785.\n</reasoning>\nFinal Answer: 785"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 15/4 + 15/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/4 + 15/5. Common denominator = 4. Result = 27/4.\n</reasoning>\nFinal Answer: 27/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -525 mod -662"
},
{
"role": "assistant",
"content": "<reasoning>\n-525 mod -662: -525 = -662 × 0 + -525, so remainder = -525.\n</reasoning>\nFinal Answer: -525"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 18/18 / 10/9"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/18) ÷ (10/9) = (18/18) × (9/10) = 9/10.\n</reasoning>\nFinal Answer: 9/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:2 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/2, so B = A × (2/35) = 31 × 2/35 = 1.7714.\n</reasoning>\nFinal Answer: 1.7714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹42483 at 19% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 42483 × 19 × 8 / 100 = 64574.16.\n</reasoning>\nFinal Answer: 64574.16"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 173 and 200."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(173,200) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Ravi has 36 apples and buys 175 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 36 + 175 = 211.\n</reasoning>\nFinal Answer: 211"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹1882. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1882 × 28/100 = 526.96. Total = 1882 + 526.96 = 2408.96.\n</reasoning>\nFinal Answer: 2408.96"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [11, 14, 16] and B = [3, 9, 10], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [11, 14, 16].\n</reasoning>\nFinal Answer: [11, 14, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (3 + 27) * (45 - 22)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (3+27)=30, (45-22)=23, then 30×23=690.\n</reasoning>\nFinal Answer: 690"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 30 and height 46."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 30 × 46 = 690.0.\n</reasoning>\nFinal Answer: 690.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:28 and A = 56, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/28, so B = A × (28/15) = 56 × 28/15 = 104.5333.\n</reasoning>\nFinal Answer: 104.5333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 6 and 14."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (6×14)/2 = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Ravi has 12 apples and buys 176 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 12 + 176 = 188.\n</reasoning>\nFinal Answer: 188"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 712 ÷ 479"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 712 by 479. 712 ÷ 479 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -656 ÷ 835"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -656 by 835. -656 ÷ 835 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 6, 7, 8, 9, 10] and B = [2, 3, 5, 6, 12, 15, 16, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 3, 5, 7, 8, 9, 10, 12, 15, 16, 17].\n<... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 8/5 * 8/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/5) × (8/5) = (64/25) = 64/25 after simplification.\n</reasoning>\nFinal Answer: 64/25"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 * 46 + 4 * 23"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 17×46=782 and 4×23=92, then add: 874.\n</reasoning>\nFinal Answer: 874"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:48 and A = 15, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/48, so B = A × (48/15) = 15 × 48/15 = 48.0.\n</reasoning>\nFinal Answer: 48.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 26 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 26 = 234 worker-days. New time = 234 / 6 = 39.0 days.\n</reasoning>\nFinal Answer: 39.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 9, 12, 15, 18] and B = [1, 2, 13], 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": "Find the mode of: [49, 78, 42, 91, 20, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {49: 1, 78: 1, 42: 1, 91: 1, 20: 1, 22: 1}. Most frequent: [49, 78, 42, 91, 20, 22].\n</reasoning>\nFinal Answer: [49, 78, 42, 91, 20, 22]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 14/15 / 6/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/15) ÷ (6/16) = (14/15) × (16/6) = 112/45.\n</reasoning>\nFinal Answer: 112/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 7, 8, 14, 15, 16, 17, 18] and B = [2, 3, 4, 11, 13, 15, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [15, 17].\n</reasoning>\nFinal Answer: [15, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:14 and A = 92, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/14, so B = A × (14/17) = 92 × 14/17 = 75.7647.\n</reasoning>\nFinal Answer: 75.7647"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 5, 13, 15, 17, 18] and B = [1, 2, 6, 9, 18, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 3, 5, 6, 9, 13, 15, 17, 19].\n</reasoning>\... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -9 = 31"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 8x = 40. Divide by 8: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [2, 6, 14, 16, 17, 19] and B = [1, 2, 4, 5, 7, 10, 15], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [6, 14, 16, 17, 19].\n</reasoning>\nFinal Answer: [6, 14, 16, 17, 19]"
}
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 3 ** 2 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 3²=9, then 29+9-44=-6.\n</reasoning>\nFinal Answer: -6"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 37 and 9."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (37×9)/1 = 333.\n</reasoning>\nFinal Answer: 333"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 51 and height 61."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 51 × 61 = 3111.\n</reasoning>\nFinal Answer: 3111"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:12 and A = 44, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/12, so B = A × (12/19) = 44 × 12/19 = 27.7895.\n</reasoning>\nFinal Answer: 27.7895"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 4, 45 and height 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (4+45) × 42 = 1029.0.\n</reasoning>\nFinal Answer: 1029.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 13/18 * 5/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/18) × (5/17) = (65/306) = 65/306 after simplification.\n</reasoning>\nFinal Answer: 65/306"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 20 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 20 × 37 = 740.\n</reasoning>\nFinal Answer: 740"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 10% of 98?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 98 = (10/100) × 98 = 9.8.\n</reasoning>\nFinal Answer: 9.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 670 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 670 × (1 + 45/100) = 670 × 1.45 = 971.5.\n</reasoning>\nFinal Answer: 971.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -199 ÷ -346"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -199 by -346. -199 ÷ -346 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 43 ** 2 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 43²=1849, then 8+1849-34=1823.\n</reasoning>\nFinal Answer: 1823"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 10% of 10?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 10 = (10/100) × 10 = 1.0.\n</reasoning>\nFinal Answer: 1.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 26 * 33 - 11"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 26×33=858, then 45+858-11=892.\n</reasoning>\nFinal Answer: 892"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [24, 15, 58, 85, 63, 21, 6, 22, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 15, 21, 22, 24, 58, 63, 85, 95]. Middle value(s) → median = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -21 = -307"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 26x = -286. Divide by 26: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 46 * 21 - 23"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 46×21=966, then 9+966-23=952.\n</reasoning>\nFinal Answer: 952"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 75 and width 69."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(75+69) = 2×144 = 288.\n</reasoning>\nFinal Answer: 288"
}
] | easy | [
"geometry",
"perimeter"
] |
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