messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "In an arithmetic progression with first term 10 and common difference 20, find the 39th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 10 + (39-1)×20 = 10 + 760 = 770.\n</reasoning>\nFinal Answer: 770"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -45 = 99"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 6x = 144. Divide by 6: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -932 mod -397"
},
{
"role": "assistant",
"content": "<reasoning>\n-932 mod -397: -932 = -397 × 2 + -138, so remainder = -138.\n</reasoning>\nFinal Answer: -138"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:19 and A = 95, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/19, so B = A × (19/46) = 95 × 19/46 = 39.2391.\n</reasoning>\nFinal Answer: 39.2391"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 5/16 * 20/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/16) × (20/10) = (100/160) = 5/8 after simplification.\n</reasoning>\nFinal Answer: 5/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹1591. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1591 × 12/100 = 190.92. Total = 1591 + 190.92 = 1781.92.\n</reasoning>\nFinal Answer: 1781.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 12/20 - 7/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/20 - 7/17. LCD = 85. Result = 16/85.\n</reasoning>\nFinal Answer: 16/85"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [25, 60, 56, 33, 29, 82, 30, 46, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 82 - 25 = 57.\n</reasoning>\nFinal Answer: 57"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 31 * 43 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 31×43=1333, then 16+1333-47=1302.\n</reasoning>\nFinal Answer: 1302"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 617 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 20%: 617 × (1 + 20/100) = 617 × 1.2 = 740.4.\n</reasoning>\nFinal Answer: 740.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 41 and width 56."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 41 × 56 = 2296.\n</reasoning>\nFinal Answer: 2296"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [7, 13, 16, 17] and B = [2, 3, 4, 8, 9, 13, 15], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [7, 16, 17].\n</reasoning>\nFinal Answer: [7, 16, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [17, 8, 46, 28, 26, 25, 68, 62, 57, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 87 - 8 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 43 * 38 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 43×38=1634, then 19+1634-19=1634.\n</reasoning>\nFinal Answer: 1634"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 5 * 5 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 5×5=25, then 10+25-27=8.\n</reasoning>\nFinal Answer: 8"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 10, 17, 18] and B = [1, 2, 9, 15, 16, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 9, 10, 15, 16, 17, 18, 19].\n</reasoning>\nFinal Ans... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 65 and width 4."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(65+4) = 2×69 = 138.\n</reasoning>\nFinal Answer: 138"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [5, 6, 7, 17] and B = [4, 5, 10, 11, 13, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [4, 5, 6, 7, 10, 11, 13, 17, 18].\n</reasoning>\nFinal Answer: [4, 5, 6, 7, 10, 11, 13, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 35 * 33 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 35×33=1155, then 38+1155-22=1171.\n</reasoning>\nFinal Answer: 1171"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -46 = -796"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 25x = -750. Divide by 25: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹1700. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1700 × 28/100 = 476.0. Total = 1700 + 476.0 = 2176.0.\n</reasoning>\nFinal Answer: 2176.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 58 and width 51."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(58+51) = 2×109 = 218.\n</reasoning>\nFinal Answer: 218"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹20789 at 17% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 20789 × 17 × 7 / 100 = 24738.91.\n</reasoning>\nFinal Answer: 24738.91"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "317 is what percentage of 339?"
},
{
"role": "assistant",
"content": "<reasoning>\n(317/339) × 100 = 93.5103%.\n</reasoning>\nFinal Answer: 93.5103%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 404 mod 363"
},
{
"role": "assistant",
"content": "<reasoning>\n404 mod 363: 404 = 363 × 1 + 41, so remainder = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 10% of 23?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 23 = (10/100) × 23 = 2.3.\n</reasoning>\nFinal Answer: 2.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 366 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 366 × (1 - 35/100) = 366 × 0.65 = 237.9.\n</reasoning>\nFinal Answer: 237.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [60, 9, 74, 30, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 30, 60, 74, 84]. Middle value(s) → median = 60.\n</reasoning>\nFinal Answer: 60"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the range of: [19, 41, 62, 91, 31, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 19 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 91 × -288"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 91 by -288: 91 × -288 = -26208.\n</reasoning>\nFinal Answer: -26208"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 17, 20, and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 17 + 20 + 30 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 9/18 * 13/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/18) × (13/12) = (117/216) = 13/24 after simplification.\n</reasoning>\nFinal Answer: 13/24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 8, 15, 16, 17] and B = [1, 2, 5, 7, 8, 9, 11, 12], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 4, 5, 7, 8, 9, 11, 12, 15, 16, 17].\n</reasoning>\nFinal Answer: [1, 2... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 + 1 * 26 - 21"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 1×26=26, then 14+26-21=19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 4/10 / 18/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/10) ÷ (18/18) = (4/10) × (18/18) = 2/5.\n</reasoning>\nFinal Answer: 2/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [23, 37, 51, 65, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 23 and common difference 14. Next term = 79 + 14 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the range of: [79, 76, 89, 99, 49, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 49 = 50.\n</reasoning>\nFinal Answer: 50"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "A train travels at 158 km/h. How far does it travel in 6 hours and 8 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 8/60 = 6.1333 hours. Distance = speed × time = 158 × 6.1333 = 969.0667 km.\n</reasoning>\nFinal Answer: 969.0667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 372 mod 773"
},
{
"role": "assistant",
"content": "<reasoning>\n372 mod 773: 372 = 773 × 0 + 372, so remainder = 372.\n</reasoning>\nFinal Answer: 372"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 7, 28, and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 7 + 28 + 30 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹28971 at 5% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 28971 × 5 × 7 / 100 = 10139.85.\n</reasoning>\nFinal Answer: 10139.85"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:25 and A = 7, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/25, so B = A × (25/12) = 7 × 25/12 = 14.5833.\n</reasoning>\nFinal Answer: 14.5833"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 731 × 810"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 731 by 810: 731 × 810 = 592110.\n</reasoning>\nFinal Answer: 592110"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 22 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 22 = 396 worker-days. New time = 396 / 14 = 28.2857 days.\n</reasoning>\nFinal Answer: 28.2857"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 1/4 + 15/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/4 + 15/16. Common denominator = 16. Result = 19/16.\n</reasoning>\nFinal Answer: 19/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 4 ** 2 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 4²=16, then 33+16-6=43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 8/3 / 20/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/3) ÷ (20/18) = (8/3) × (18/20) = 12/5.\n</reasoning>\nFinal Answer: 12/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹33876 at 2% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 33876 × 2 × 2 / 100 = 1355.04.\n</reasoning>\nFinal Answer: 1355.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -24 = 413"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 23x = 437. Divide by 23: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -46 = -166"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 12x = -120. Divide by 12: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -323 mod 598"
},
{
"role": "assistant",
"content": "<reasoning>\n-323 mod 598: -323 = 598 × -1 + 275, so remainder = 275.\n</reasoning>\nFinal Answer: 275"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹13965 at 18% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 13965 × 18 × 1 / 100 = 2513.7.\n</reasoning>\nFinal Answer: 2513.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 16 * 1 - 13"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 16×1=16, then 36+16-13=39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [39, 12, 9, 38, 22, 68, 89, 13, 84, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 429/10 = 42.9.\n</reasoning>\nFinal Answer: 42.9"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mean of: [54, 87, 48, 55, 31, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 368/6 = 61.3333.\n</reasoning>\nFinal Answer: 61.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -76 ÷ -525"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -76 by -525. -76 ÷ -525 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹832. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 832 × 5/100 = 41.6. Total = 832 + 41.6 = 873.6.\n</reasoning>\nFinal Answer: 873.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 15/5 / 19/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/5) ÷ (19/2) = (15/5) × (2/19) = 6/19.\n</reasoning>\nFinal Answer: 6/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:6 and A = 60, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/6, so B = A × (6/5) = 60 × 6/5 = 72.0.\n</reasoning>\nFinal Answer: 72.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹2430. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2430 × 28/100 = 680.4. Total = 2430 + 680.4 = 3110.4.\n</reasoning>\nFinal Answer: 3110.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 204 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 204 × (1 - 35/100) = 204 × 0.65 = 132.6.\n</reasoning>\nFinal Answer: 132.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 37 and height 65."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 37 × 65 = 1202.5.\n</reasoning>\nFinal Answer: 1202.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -84 × 329"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -84 by 329: -84 × 329 = -27636.\n</reasoning>\nFinal Answer: -27636"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -346 mod -835"
},
{
"role": "assistant",
"content": "<reasoning>\n-346 mod -835: -346 = -835 × 0 + -346, so remainder = -346.\n</reasoning>\nFinal Answer: -346"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (7 + 17) * (2 - 40)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (7+17)=24, (2-40)=-38, then 24×-38=-912.\n</reasoning>\nFinal Answer: -912"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-44)x + (72) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -44² - 4×4×72 = 784. √discriminant = 28. x = (-(-44) ± 28) / (2×4). Solutions: x = 9 or x = 2.\n</reasoning>\nFinal Answer: x = 9 or x = 2"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "293 is what percentage of 722?"
},
{
"role": "assistant",
"content": "<reasoning>\n(293/722) × 100 = 40.5817%.\n</reasoning>\nFinal Answer: 40.5817%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the median of: [64, 44, 36, 89, 99, 81, 58, 58, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [36, 44, 58, 58, 64, 81, 82, 89, 99]. Middle value(s) → median = 64.\n</reasoning>\nFinal Answer: 64"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "What is 5% of 769?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 769 = (5/100) × 769 = 38.45.\n</reasoning>\nFinal Answer: 38.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 200 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 200 × (1 - 100/100) = 200 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 50 and height 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 50 × 24 = 1200.\n</reasoning>\nFinal Answer: 1200"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 22 * 42 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 22×42=924, then 37+924-26=935.\n</reasoning>\nFinal Answer: 935"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "List all positive factors of 6."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 6: factors are [1, 2, 3, 6].\n</reasoning>\nFinal Answer: [1, 2, 3, 6]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 74 and width 99."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 74 × 99 = 7326.\n</reasoning>\nFinal Answer: 7326"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 28, 49 and height 3."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (28+49) × 3 = 115.5.\n</reasoning>\nFinal Answer: 115.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 50 and height 57."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 50 × 57 = 2850.\n</reasoning>\nFinal Answer: 2850"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 8 = -272"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 28x = -280. Divide by 28: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -14 - -21"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from -14: -14 - -21 = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "237 is what percentage of 241?"
},
{
"role": "assistant",
"content": "<reasoning>\n(237/241) × 100 = 98.3402%.\n</reasoning>\nFinal Answer: 98.3402%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 87 and width 82."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 87 × 82 = 7134.\n</reasoning>\nFinal Answer: 7134"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 25 and common difference 4, find the 36th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 25 + (36-1)×4 = 25 + 140 = 165.\n</reasoning>\nFinal Answer: 165"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Ravi has 42 apples and buys 196 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 42 + 196 = 238.\n</reasoning>\nFinal Answer: 238"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:1 and A = 15, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/1, so B = A × (1/32) = 15 × 1/32 = 0.4688.\n</reasoning>\nFinal Answer: 0.4688"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 507 - -653"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -653 from 507: 507 - -653 = 1160.\n</reasoning>\nFinal Answer: 1160"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 7% of 872?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 872 = (7/100) × 872 = 61.04.\n</reasoning>\nFinal Answer: 61.04"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -633 + -484"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -633 and -484: -633 + -484 = -1117.\n</reasoning>\nFinal Answer: -1117"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A bag has 1 red and 1 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 1/2 = 0.5.\n</reasoning>\nFinal Answer: 0.5"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:26 and A = 41, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/26, so B = A × (26/9) = 41 × 26/9 = 118.4444.\n</reasoning>\nFinal Answer: 118.4444"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 3 ** 2 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 3²=9, then 45+9-20=34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 48 ** 2 - 11"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 48²=2304, then 13+2304-11=2306.\n</reasoning>\nFinal Answer: 2306"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 0 = 684"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 18x = 684. Divide by 18: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:47 and A = 36, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/47, so B = A × (47/5) = 36 × 47/5 = 338.4.\n</reasoning>\nFinal Answer: 338.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:12 and A = 71, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/12, so B = A × (12/44) = 71 × 12/44 = 19.3636.\n</reasoning>\nFinal Answer: 19.3636"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [45, 20, 45, 22, 31, 36, 78, 58, 11, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 20, 22, 31, 36, 45, 45, 58, 78, 87]. Middle value(s) → median = 40.5.\n</reasoning>\nFinal Answer: 40.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 617 km apart. Their speeds are 109 km/h and 99 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 109+99=208 km/h. Time = 617/208 = 2.9663 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -21 = 434"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 13x = 455. Divide by 13: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 7 = 42"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 1x = 35. Divide by 1: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 8, 9, 12, 15, 17] and B = [1, 7, 10, 13, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 7, 8, 9, 10, 12, 13, 15, 17].\n</reasoning>\nFinal Answer: [1, 7, 8, 9, 10, 12, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mean of: [1, 61, 26, 37, 84, 76, 73, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 441/8 = 55.125.\n</reasoning>\nFinal Answer: 55.125"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 369."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 369 by smallest primes repeatedly: 369 = 3 × 3 × 41.\n</reasoning>\nFinal Answer: 3 × 3 × 41"
}
] | medium | [
"number_theory",
"prime_factors"
] |
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