messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 3/11 * 15/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/11) × (15/2) = (45/22) = 45/22 after simplification.\n</reasoning>\nFinal Answer: 45/22"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 643 km apart. Their speeds are 112 km/h and 69 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 112+69=181 km/h. Time = 643/181 = 3.5525 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (4)x + (-120) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 4² - 4×4×-120 = 1936. √discriminant = 44. x = (-(4) ± 44) / (2×4). Solutions: x = -6 or x = 5.\n</reasoning>\nFinal Answer: x = -6 or x = 5"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 89 ÷ 725"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 89 by 725. 89 ÷ 725 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 48, 9 and height 49."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (48+9) × 49 = 1396.5.\n</reasoning>\nFinal Answer: 1396.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -5 = 149"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 7x = 154. Divide by 7: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "100 is what percentage of 141?"
},
{
"role": "assistant",
"content": "<reasoning>\n(100/141) × 100 = 70.922%.\n</reasoning>\nFinal Answer: 70.922%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "List all positive factors of 72."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 72: factors are [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72].\n</reasoning>\nFinal Answer: [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 41 * 40 - 8"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 41×40=1640, then 11+1640-8=1643.\n</reasoning>\nFinal Answer: 1643"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 10/13 + 4/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/13 + 4/15. Common denominator = 195. Result = 202/195.\n</reasoning>\nFinal Answer: 202/195"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:14 and A = 47, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/14, so B = A × (14/30) = 47 × 14/30 = 21.9333.\n</reasoning>\nFinal Answer: 21.9333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 100% of 905?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 905 = (100/100) × 905 = 905.0.\n</reasoning>\nFinal Answer: 905.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 57 and width 60."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(57+60) = 2×117 = 234.\n</reasoning>\nFinal Answer: 234"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "What is 15% of 863?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 863 = (15/100) × 863 = 129.45.\n</reasoning>\nFinal Answer: 129.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 58 and width 100."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(58+100) = 2×158 = 316.\n</reasoning>\nFinal Answer: 316"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 20/20 + 15/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/20 + 15/10. Common denominator = 2. Result = 5/2.\n</reasoning>\nFinal Answer: 5/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 136 km/h. How far does it travel in 7 hours and 10 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 10/60 = 7.1667 hours. Distance = speed × time = 136 × 7.1667 = 974.6667 km.\n</reasoning>\nFinal Answer: 974.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -638 - -149"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -149 from -638: -638 - -149 = -489.\n</reasoning>\nFinal Answer: -489"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 7, 10, 11, 14, 15, 17] and B = [3, 7, 8, 10, 13, 15, 16, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [7, 10, 15].\n</reasoning>\nFinal Answer: [7, 10, 15]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "What is 7% of 381?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 381 = (7/100) × 381 = 26.67.\n</reasoning>\nFinal Answer: 26.67"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹46638 at 4% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 46638 × 4 × 6 / 100 = 11193.12.\n</reasoning>\nFinal Answer: 11193.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [98, 94, 38, 82, 47, 90, 47, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 20 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the range of: [23, 39, 82, 59, 3, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 82 - 3 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹15029 at 8% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 15029 × 8 × 9 / 100 = 10820.88.\n</reasoning>\nFinal Answer: 10820.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 50 and common difference 6, find the 33th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 50 + (33-1)×6 = 50 + 192 = 242.\n</reasoning>\nFinal Answer: 242"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Ravi has 163 apples and buys 123 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 163 + 123 = 286.\n</reasoning>\nFinal Answer: 286"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 765 mod 951"
},
{
"role": "assistant",
"content": "<reasoning>\n765 mod 951: 765 = 951 × 0 + 765, so remainder = 765.\n</reasoning>\nFinal Answer: 765"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:12 and A = 22, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/12, so B = A × (12/3) = 22 × 12/3 = 88.0.\n</reasoning>\nFinal Answer: 88.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:40 and A = 48, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/40, so B = A × (40/23) = 48 × 40/23 = 83.4783.\n</reasoning>\nFinal Answer: 83.4783"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 991 × 836"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 991 by 836: 991 × 836 = 828476.\n</reasoning>\nFinal Answer: 828476"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 3 = 45"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 1x = 42. Divide by 1: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 246 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 246 × (1 - 65/100) = 246 × 0.35 = 86.1.\n</reasoning>\nFinal Answer: 86.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 50 - 16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from 50: 50 - 16 = 34.\n</reasoning>\nFinal Answer: 34"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 163 apples and buys 89 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 163 + 89 = 252.\n</reasoning>\nFinal Answer: 252"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "70 is what percentage of 211?"
},
{
"role": "assistant",
"content": "<reasoning>\n(70/211) × 100 = 33.1754%.\n</reasoning>\nFinal Answer: 33.1754%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Decrease 768 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 10%: 768 × (1 - 10/100) = 768 × 0.9 = 691.2.\n</reasoning>\nFinal Answer: 691.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 40 * 26 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 40×26=1040, then 31+1040-6=1065.\n</reasoning>\nFinal Answer: 1065"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -173 mod -155"
},
{
"role": "assistant",
"content": "<reasoning>\n-173 mod -155: -173 = -155 × 1 + -18, so remainder = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 63 and width 87."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 63 × 87 = 5481.\n</reasoning>\nFinal Answer: 5481"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 14/19 + 4/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/19 + 4/18. Common denominator = 171. Result = 164/171.\n</reasoning>\nFinal Answer: 164/171"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 17/20 - 13/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/20 - 13/19. LCD = 380. Result = 63/380.\n</reasoning>\nFinal Answer: 63/380"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 5/11 * 6/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/11) × (6/6) = (30/66) = 5/11 after simplification.\n</reasoning>\nFinal Answer: 5/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -141 × -566"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -141 by -566: -141 × -566 = 79806.\n</reasoning>\nFinal Answer: 79806"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/1 - 18/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/1 - 18/17. LCD = 17. Result = 101/17.\n</reasoning>\nFinal Answer: 101/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 434 - -47"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from 434: 434 - -47 = 481.\n</reasoning>\nFinal Answer: 481"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [2, 52, 70, 88, 92, 48, 99, 62, 36]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {2: 1, 52: 1, 70: 1, 88: 1, 92: 1, 48: 1, 99: 1, 62: 1, 36: 1}. Most frequent: [2, 52, 70, 88, 92, 48, 99, 62, 36].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -80 mod -693"
},
{
"role": "assistant",
"content": "<reasoning>\n-80 mod -693: -80 = -693 × 0 + -80, so remainder = -80.\n</reasoning>\nFinal Answer: -80"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 44 = 454"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 10x = 410. Divide by 10: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -885 + 700"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -885 and 700: -885 + 700 = -185.\n</reasoning>\nFinal Answer: -185"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/11 * 14/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/11) × (14/1) = (238/11) = 238/11 after simplification.\n</reasoning>\nFinal Answer: 238/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 194."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 194 by smallest primes repeatedly: 194 = 2 × 97.\n</reasoning>\nFinal Answer: 2 × 97"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the range of: [12, 18, 57, 91, 84, 80, 35, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 12 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 37 ** 2 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 37²=1369, then 45+1369-19=1395.\n</reasoning>\nFinal Answer: 1395"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 27 and 143."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(27,143) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 593 km apart. Their speeds are 86 km/h and 63 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 86+63=149 km/h. Time = 593/149 = 3.9799 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:22 and A = 3, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/22, so B = A × (22/24) = 3 × 22/24 = 2.75.\n</reasoning>\nFinal Answer: 2.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 139 ÷ 958"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 139 by 958. 139 ÷ 958 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 12% of 614?"
},
{
"role": "assistant",
"content": "<reasoning>\n12% of 614 = (12/100) × 614 = 73.68.\n</reasoning>\nFinal Answer: 73.68"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:20 and A = 14, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/20, so B = A × (20/1) = 14 × 20/1 = 280.0.\n</reasoning>\nFinal Answer: 280.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 76 and height 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 76 × 24 = 1824.\n</reasoning>\nFinal Answer: 1824"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 9/12 / 19/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/12) ÷ (19/16) = (9/12) × (16/19) = 12/19.\n</reasoning>\nFinal Answer: 12/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 94 and height 1."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 94 × 1 = 47.0.\n</reasoning>\nFinal Answer: 47.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 23 and width 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 23 × 11 = 253.\n</reasoning>\nFinal Answer: 253"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 16 * 48 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 16×48=768, then 11+768-6=773.\n</reasoning>\nFinal Answer: 773"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 8/8 + 5/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/8 + 5/3. Common denominator = 3. Result = 8/3.\n</reasoning>\nFinal Answer: 8/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (21 + 32) * (35 - 36)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (21+32)=53, (35-36)=-1, then 53×-1=-53.\n</reasoning>\nFinal Answer: -53"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 586 km apart. Their speeds are 113 km/h and 101 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 113+101=214 km/h. Time = 586/214 = 2.7383 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -393 mod -803"
},
{
"role": "assistant",
"content": "<reasoning>\n-393 mod -803: -393 = -803 × 0 + -393, so remainder = -393.\n</reasoning>\nFinal Answer: -393"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 13 ** 2 - 5"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 13²=169, then 25+169-5=189.\n</reasoning>\nFinal Answer: 189"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 30% of 970?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 970 = (30/100) × 970 = 291.0.\n</reasoning>\nFinal Answer: 291.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -923 ÷ -68"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -923 by -68. -923 ÷ -68 = 13 (integer division).\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 5, 7, 8, 13, 19] and B = [9, 12, 13, 14, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 5, 7, 8, 9, 12, 13, 14, 19].\n</reasoning>\nFinal Answer: [1, 2, 5, 7, 8, 9... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (1 + 7) * (21 - 28)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (1+7)=8, (21-28)=-7, then 8×-7=-56.\n</reasoning>\nFinal Answer: -56"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:18 and A = 23, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/18, so B = A × (18/32) = 23 × 18/32 = 12.9375.\n</reasoning>\nFinal Answer: 12.9375"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [5, 12, 15] and B = [3, 4, 7, 8, 11, 14, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 4, 5, 7, 8, 11, 12, 14, 15, 19].\n</reasoning>\nFinal Answer: [3, 4, 5, 7, 8, 11, 12,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 18 ** 2 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 18²=324, then 17+324-44=297.\n</reasoning>\nFinal Answer: 297"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 9 = 49"
},
{
"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": "Decrease 870 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 870 × (1 - 20/100) = 870 × 0.8 = 696.0.\n</reasoning>\nFinal Answer: 696.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹4995. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4995 × 12/100 = 599.4. Total = 4995 + 599.4 = 5594.4.\n</reasoning>\nFinal Answer: 5594.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 179."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 179 by smallest primes repeatedly: 179 = 179.\n</reasoning>\nFinal Answer: 179"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 50 and height 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 50 × 12 = 600.\n</reasoning>\nFinal Answer: 600"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 20 ** 2 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 20²=400, then 3+400-3=400.\n</reasoning>\nFinal Answer: 400"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 16 = 212"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 7x = 196. Divide by 7: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:3 and A = 47, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/3, so B = A × (3/29) = 47 × 3/29 = 4.8621.\n</reasoning>\nFinal Answer: 4.8621"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -679 + 255"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -679 and 255: -679 + 255 = -424.\n</reasoning>\nFinal Answer: -424"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [43, 7, 44, 88, 68, 3, 83, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {43: 1, 7: 1, 44: 1, 88: 1, 68: 1, 3: 1, 83: 1, 76: 1}. Most frequent: [43, 7, 44, 88, 68, 3, 83, 76].\n</reasoning>\nFinal Answer: [43, 7, 44, 88... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 10 = -484"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 13x = -494. Divide by 13: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 32 and height 85."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 32 × 85 = 2720.\n</reasoning>\nFinal Answer: 2720"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 80% of 31?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 31 = (80/100) × 31 = 24.8.\n</reasoning>\nFinal Answer: 24.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "521 is what percentage of 976?"
},
{
"role": "assistant",
"content": "<reasoning>\n(521/976) × 100 = 53.3811%.\n</reasoning>\nFinal Answer: 53.3811%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "A train travels at 151 km/h. How far does it travel in 9 hours and 3 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 3/60 = 9.0500 hours. Distance = speed × time = 151 × 9.0500 = 1366.55 km.\n</reasoning>\nFinal Answer: 1366.55"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:38 and A = 5, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/38, so B = A × (38/15) = 5 × 38/15 = 12.6667.\n</reasoning>\nFinal Answer: 12.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -816 mod 814"
},
{
"role": "assistant",
"content": "<reasoning>\n-816 mod 814: -816 = 814 × -2 + 812, so remainder = 812.\n</reasoning>\nFinal Answer: 812"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 39 = 70"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 1x = 31. Divide by 1: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 531 ÷ -861"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 531 by -861. 531 ÷ -861 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "2 workers can complete a job in 13 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 2 × 13 = 26 worker-days. New time = 26 / 9 = 2.8889 days.\n</reasoning>\nFinal Answer: 2.8889"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹38733 at 8% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 38733 × 8 × 3 / 100 = 9295.92.\n</reasoning>\nFinal Answer: 9295.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 26 and height 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 26 × 29 = 754.\n</reasoning>\nFinal Answer: 754"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 18/14 / 11/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/14) ÷ (11/4) = (18/14) × (4/11) = 36/77.\n</reasoning>\nFinal Answer: 36/77"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:35 and A = 18, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/35, so B = A × (35/7) = 18 × 35/7 = 90.0.\n</reasoning>\nFinal Answer: 90.0"
}
] | medium | [
"ratio",
"proportion"
] |
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