messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 14, 27, and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 14 + 27 + 30 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -1 = -926"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 25x = -925. Divide by 25: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:26 and A = 6, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/26, so B = A × (26/30) = 6 × 26/30 = 5.2.\n</reasoning>\nFinal Answer: 5.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 42 ** 2 - 10"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 42²=1764, then 45+1764-10=1799.\n</reasoning>\nFinal Answer: 1799"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 114 × -145"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 114 by -145: 114 × -145 = -16530.\n</reasoning>\nFinal Answer: -16530"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 37 and 47."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (37×47)/1 = 1739.\n</reasoning>\nFinal Answer: 1739"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:37 and A = 93, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/37, so B = A × (37/5) = 93 × 37/5 = 688.2.\n</reasoning>\nFinal Answer: 688.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [73, 60, 48, 44, 20, 42, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 312/7 = 44.5714.\n</reasoning>\nFinal Answer: 44.5714"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "What is 15% of 623?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 623 = (15/100) × 623 = 93.45.\n</reasoning>\nFinal Answer: 93.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹36238 at 10% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 36238 × 10 × 3 / 100 = 10871.4.\n</reasoning>\nFinal Answer: 10871.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -403 - -478"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -478 from -403: -403 - -478 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "427 is what percentage of 1000?"
},
{
"role": "assistant",
"content": "<reasoning>\n(427/1000) × 100 = 42.7%.\n</reasoning>\nFinal Answer: 42.7%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -13 = -1038"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 25x = -1025. Divide by 25: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 15/1 / 5/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/1) ÷ (5/11) = (15/1) × (11/5) = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 37, 26 and height 46."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (37+26) × 46 = 1449.0.\n</reasoning>\nFinal Answer: 1449.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [28, 40, 89, 22, 8, 84, 24, 76, 14, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 14, 21, 22, 24, 28, 40, 76, 84, 89]. Middle value(s) → median = 26.0.\n</reasoning>\nFinal Answer: 26.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the mean of: [73, 56, 44, 99, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 351/5 = 70.2.\n</reasoning>\nFinal Answer: 70.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -970 × -793"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -970 by -793: -970 × -793 = 769210.\n</reasoning>\nFinal Answer: 769210"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 49 apples and buys 23 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 49 + 23 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -22 × -231"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -22 by -231: -22 × -231 = 5082.\n</reasoning>\nFinal Answer: 5082"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 185 and 92."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(185,92) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 530 - 158"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 158 from 530: 530 - 158 = 372.\n</reasoning>\nFinal Answer: 372"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 45 km/h. How far does it travel in 4 hours and 41 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 41/60 = 4.6833 hours. Distance = speed × time = 45 × 4.6833 = 210.75 km.\n</reasoning>\nFinal Answer: 210.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 8/1 + 13/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/1 + 13/12. Common denominator = 12. Result = 109/12.\n</reasoning>\nFinal Answer: 109/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "2 is what percentage of 16?"
},
{
"role": "assistant",
"content": "<reasoning>\n(2/16) × 100 = 12.5%.\n</reasoning>\nFinal Answer: 12.5%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 * 9 + 28 * 46"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 35×9=315 and 28×46=1288, then add: 1603.\n</reasoning>\nFinal Answer: 1603"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 186 + 68"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 186 and 68: 186 + 68 = 254.\n</reasoning>\nFinal Answer: 254"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (2 + 5) * (34 - 35)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (2+5)=7, (34-35)=-1, then 7×-1=-7.\n</reasoning>\nFinal Answer: -7"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "22 is what percentage of 221?"
},
{
"role": "assistant",
"content": "<reasoning>\n(22/221) × 100 = 9.9548%.\n</reasoning>\nFinal Answer: 9.9548%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 95 and height 74."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 95 × 74 = 7030.\n</reasoning>\nFinal Answer: 7030"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 869 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 869 × (1 + 40/100) = 869 × 1.4 = 1216.6.\n</reasoning>\nFinal Answer: 1216.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 814 × 691"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 814 by 691: 814 × 691 = 562474.\n</reasoning>\nFinal Answer: 562474"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "290 is what percentage of 812?"
},
{
"role": "assistant",
"content": "<reasoning>\n(290/812) × 100 = 35.7143%.\n</reasoning>\nFinal Answer: 35.7143%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 26 = 386"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 12x = 360. Divide by 12: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 99 and height 53."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 99 × 53 = 2623.5.\n</reasoning>\nFinal Answer: 2623.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -355 mod 193"
},
{
"role": "assistant",
"content": "<reasoning>\n-355 mod 193: -355 = 193 × -2 + 31, so remainder = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 441 + -24"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 441 and -24: 441 + -24 = 417.\n</reasoning>\nFinal Answer: 417"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹25336 at 8% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 25336 × 8 × 7 / 100 = 14188.16.\n</reasoning>\nFinal Answer: 14188.16"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 45% of 992?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 992 = (45/100) × 992 = 446.4.\n</reasoning>\nFinal Answer: 446.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [5, 25, 45, 65, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 5 and common difference 20. Next term = 85 + 20 = 105.\n</reasoning>\nFinal Answer: 105"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 * 42 + 48 * 29"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 20×42=840 and 48×29=1392, then add: 2232.\n</reasoning>\nFinal Answer: 2232"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹48274 at 18% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 48274 × 18 × 7 / 100 = 60825.24.\n</reasoning>\nFinal Answer: 60825.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 73 mod 389"
},
{
"role": "assistant",
"content": "<reasoning>\n73 mod 389: 73 = 389 × 0 + 73, so remainder = 73.\n</reasoning>\nFinal Answer: 73"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [16, 27, 38, 49, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 16 and common difference 11. Next term = 60 + 11 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 35 * 33 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 35×33=1155, then 27+1155-2=1180.\n</reasoning>\nFinal Answer: 1180"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 94 apples and buys 91 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 94 + 91 = 185.\n</reasoning>\nFinal Answer: 185"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -690 - 66"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 66 from -690: -690 - 66 = -756.\n</reasoning>\nFinal Answer: -756"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/4 * 2/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/4) × (2/12) = (24/48) = 1/2 after simplification.\n</reasoning>\nFinal Answer: 1/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 1/10 + 11/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/10 + 11/14. Common denominator = 70. Result = 31/35.\n</reasoning>\nFinal Answer: 31/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 6, 10, 16, 17] and B = [1, 2, 3, 6, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [5, 10, 16, 17].\n</reasoning>\nFinal Answer: [5, 10, 16, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "182 is what percentage of 360?"
},
{
"role": "assistant",
"content": "<reasoning>\n(182/360) × 100 = 50.5556%.\n</reasoning>\nFinal Answer: 50.5556%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 82 and width 22."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(82+22) = 2×104 = 208.\n</reasoning>\nFinal Answer: 208"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mode of: [24, 96, 11, 26, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {24: 1, 96: 1, 11: 1, 26: 1, 83: 1}. Most frequent: [24, 96, 11, 26, 83].\n</reasoning>\nFinal Answer: [24, 96, 11, 26, 83]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the median of: [6, 53, 22, 48, 11, 53, 13, 19, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 11, 13, 19, 22, 48, 53, 53, 86]. Middle value(s) → median = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -25 = -760"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 15x = -735. Divide by 15: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 3 * 39 - 35"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 3×39=117, then 40+117-35=122.\n</reasoning>\nFinal Answer: 122"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -39 = -99"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 4x = -60. Divide by 4: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 47 and 49."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(47,49) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -111 ÷ -193"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -111 by -193. -111 ÷ -193 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 7, 9, 10, 16, 19] and B = [1, 3, 5, 8, 11, 12, 13, 14], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 5, 7, 8, 9, 10, 11, 12, 13, 14, 16, 19].\n</reasoning>\nFinal ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (2 + 37) * (17 - 20)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (2+37)=39, (17-20)=-3, then 39×-3=-117.\n</reasoning>\nFinal Answer: -117"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 436 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 436 × (1 + 12/100) = 436 × 1.12 = 488.32.\n</reasoning>\nFinal Answer: 488.32"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -958 + 383"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -958 and 383: -958 + 383 = -575.\n</reasoning>\nFinal Answer: -575"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 42 km/h. How far does it travel in 8 hours and 51 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 51/60 = 8.8500 hours. Distance = speed × time = 42 × 8.8500 = 371.7 km.\n</reasoning>\nFinal Answer: 371.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "109 is what percentage of 121?"
},
{
"role": "assistant",
"content": "<reasoning>\n(109/121) × 100 = 90.0826%.\n</reasoning>\nFinal Answer: 90.0826%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 150 and 16."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(150,16) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 740 - 977"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 977 from 740: 740 - 977 = -237.\n</reasoning>\nFinal Answer: -237"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -526 ÷ 124"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -526 by 124. -526 ÷ 124 = -5 (integer division).\n</reasoning>\nFinal Answer: -5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [4, 11, 16] and B = [1, 12, 13, 17, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 4, 11, 12, 13, 16, 17, 19].\n</reasoning>\nFinal Answer: [1, 4, 11, 12, 13, 16, 17, 19]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Ravi has 159 apples and buys 100 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 159 + 100 = 259.\n</reasoning>\nFinal Answer: 259"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [84, 36, 94, 68, 4, 37, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 4 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 19 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 19 × 37 = 703.\n</reasoning>\nFinal Answer: 703"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -1 = 1079"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 30x = 1080. Divide by 30: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹39325 at 20% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 39325 × 20 × 4 / 100 = 31460.0.\n</reasoning>\nFinal Answer: 31460.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 95 and 156."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(95,156) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 17/12 / 3/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/12) ÷ (3/18) = (17/12) × (18/3) = 17/2.\n</reasoning>\nFinal Answer: 17/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 * 21 + 26 * 13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 17×21=357 and 26×13=338, then add: 695.\n</reasoning>\nFinal Answer: 695"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 25% of 589?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 589 = (25/100) × 589 = 147.25.\n</reasoning>\nFinal Answer: 147.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "223 is what percentage of 481?"
},
{
"role": "assistant",
"content": "<reasoning>\n(223/481) × 100 = 46.3617%.\n</reasoning>\nFinal Answer: 46.3617%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:40 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/40, so B = A × (40/43) = 51 × 40/43 = 47.4419.\n</reasoning>\nFinal Answer: 47.4419"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹762. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 762 × 5/100 = 38.1. Total = 762 + 38.1 = 800.1.\n</reasoning>\nFinal Answer: 800.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [39, 97, 89, 51, 47, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {39: 1, 97: 1, 89: 1, 51: 1, 47: 1, 63: 1}. Most frequent: [39, 97, 89, 51, 47, 63].\n</reasoning>\nFinal Answer: [39, 97, 89, 51, 47, 63]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -158 - -997"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -997 from -158: -158 - -997 = 839.\n</reasoning>\nFinal Answer: 839"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:21 and A = 86, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/21, so B = A × (21/4) = 86 × 21/4 = 451.5.\n</reasoning>\nFinal Answer: 451.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 100 and height 91."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 100 × 91 = 9100.\n</reasoning>\nFinal Answer: 9100"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 66 × 678"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 66 by 678: 66 × 678 = 44748.\n</reasoning>\nFinal Answer: 44748"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "231 is what percentage of 247?"
},
{
"role": "assistant",
"content": "<reasoning>\n(231/247) × 100 = 93.5223%.\n</reasoning>\nFinal Answer: 93.5223%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "An item costs ₹3049. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3049 × 12/100 = 365.88. Total = 3049 + 365.88 = 3414.88.\n</reasoning>\nFinal Answer: 3414.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [42, 59, 76, 93, 110]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 42 and common difference 17. Next term = 110 + 17 = 127.\n</reasoning>\nFinal Answer: 127"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:4 and A = 70, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/4, so B = A × (4/43) = 70 × 4/43 = 6.5116.\n</reasoning>\nFinal Answer: 6.5116"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -519 mod -489"
},
{
"role": "assistant",
"content": "<reasoning>\n-519 mod -489: -519 = -489 × 1 + -30, so remainder = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -585 + -702"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -585 and -702: -585 + -702 = -1287.\n</reasoning>\nFinal Answer: -1287"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 26 and height 69."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 26 × 69 = 897.0.\n</reasoning>\nFinal Answer: 897.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -35 = 25"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 2x = 60. Divide by 2: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 6/2 + 16/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/2 + 16/10. Common denominator = 5. Result = 23/5.\n</reasoning>\nFinal Answer: 23/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [88, 5, 10, 66, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {88: 1, 5: 1, 10: 1, 66: 1, 44: 1}. Most frequent: [88, 5, 10, 66, 44].\n</reasoning>\nFinal Answer: [88, 5, 10, 66, 44]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the median of: [16, 96, 17, 63, 3, 38, 4, 33, 71, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 4, 16, 17, 33, 38, 50, 63, 71, 96]. Middle value(s) → median = 35.5.\n</reasoning>\nFinal Answer: 35.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 827 - 630"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 630 from 827: 827 - 630 = 197.\n</reasoning>\nFinal Answer: 197"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 12, 12, and 20."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 12 + 12 + 20 = 44.\n</reasoning>\nFinal Answer: 44"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 30, 34, and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 30 + 34 + 40 = 104.\n</reasoning>\nFinal Answer: 104"
}
] | easy | [
"geometry",
"perimeter"
] |
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