messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: (36 + 26) * (35 - 20)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (36+26)=62, (35-20)=15, then 62×15=930.\n</reasoning>\nFinal Answer: 930"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -834 ÷ 703"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -834 by 703. -834 ÷ 703 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -670 × 531"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -670 by 531: -670 × 531 = -355770.\n</reasoning>\nFinal Answer: -355770"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 7, 8, 11, 13, 15, 18, 19] and B = [3, 13, 14, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [13].\n</reasoning>\nFinal Answer: [13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (90)x + (405) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 90² - 4×5×405 = 0. √discriminant = 0. x = (-(90) ± 0) / (2×5). Solutions: x = -9 (double root).\n</reasoning>\nFinal Answer: x = -9 (double roo... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the median of: [69, 9, 80, 21, 58, 82, 38, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 21, 38, 58, 69, 76, 80, 82]. Middle value(s) → median = 63.5.\n</reasoning>\nFinal Answer: 63.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the median of: [84, 61, 73, 43, 32, 84, 70, 82, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [32, 43, 61, 70, 73, 73, 82, 84, 84]. Middle value(s) → median = 73.\n</reasoning>\nFinal Answer: 73"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 676 + 557"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 676 and 557: 676 + 557 = 1233.\n</reasoning>\nFinal Answer: 1233"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 * 15 + 16 * 41"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 38×15=570 and 16×41=656, then add: 1226.\n</reasoning>\nFinal Answer: 1226"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 39:41 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 39/41, so B = A × (41/39) = 27 × 41/39 = 28.3846.\n</reasoning>\nFinal Answer: 28.3846"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 11 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 11 = 198 worker-days. New time = 198 / 3 = 66.0 days.\n</reasoning>\nFinal Answer: 66.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "59 is what percentage of 108?"
},
{
"role": "assistant",
"content": "<reasoning>\n(59/108) × 100 = 54.6296%.\n</reasoning>\nFinal Answer: 54.6296%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -50 = -167"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 3x = -117. Divide by 3: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 13 and height 9."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 13 × 9 = 58.5.\n</reasoning>\nFinal Answer: 58.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 21 apples and buys 155 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 21 + 155 = 176.\n</reasoning>\nFinal Answer: 176"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 168 apples and buys 109 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 168 + 109 = 277.\n</reasoning>\nFinal Answer: 277"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:4 and A = 92, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/4, so B = A × (4/37) = 92 × 4/37 = 9.9459.\n</reasoning>\nFinal Answer: 9.9459"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 32 = 120"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 22x = 88. Divide by 22: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 8/12 / 19/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/12) ÷ (19/8) = (8/12) × (8/19) = 16/57.\n</reasoning>\nFinal Answer: 16/57"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (17 + 12) * (31 - 31)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (17+12)=29, (31-31)=0, then 29×0=0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 10 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 10 = 150 worker-days. New time = 150 / 9 = 16.6667 days.\n</reasoning>\nFinal Answer: 16.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 182 apples and buys 9 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 182 + 9 = 191.\n</reasoning>\nFinal Answer: 191"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -142 × 663"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -142 by 663: -142 × 663 = -94146.\n</reasoning>\nFinal Answer: -94146"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 248 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 248 × (1 - 35/100) = 248 × 0.65 = 161.2.\n</reasoning>\nFinal Answer: 161.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 * 40 + 43 * 21"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 3×40=120 and 43×21=903, then add: 1023.\n</reasoning>\nFinal Answer: 1023"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 + 40 ** 2 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 40²=1600, then 5+1600-9=1596.\n</reasoning>\nFinal Answer: 1596"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 2/14 * 18/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/14) × (18/19) = (36/266) = 18/133 after simplification.\n</reasoning>\nFinal Answer: 18/133"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 16/4 - 11/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/4 - 11/14. LCD = 14. Result = 45/14.\n</reasoning>\nFinal Answer: 45/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 287 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 287 × (1 + 40/100) = 287 × 1.4 = 401.8.\n</reasoning>\nFinal Answer: 401.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 30 and common difference 17, find the 33th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 30 + (33-1)×17 = 30 + 544 = 574.\n</reasoning>\nFinal Answer: 574"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -376 ÷ -535"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -376 by -535. -376 ÷ -535 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 2/14 / 20/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/14) ÷ (20/3) = (2/14) × (3/20) = 3/140.\n</reasoning>\nFinal Answer: 3/140"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (16 + 4) * (22 - 29)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (16+4)=20, (22-29)=-7, then 20×-7=-140.\n</reasoning>\nFinal Answer: -140"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:26 and A = 89, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/26, so B = A × (26/26) = 89 × 26/26 = 89.0.\n</reasoning>\nFinal Answer: 89.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 9, 11, 12] and B = [1, 4, 5, 8, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [3, 9, 11, 12].\n</reasoning>\nFinal Answer: [3, 9, 11, 12]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mean of: [16, 23, 51, 75, 31, 44, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 322/7 = 46.0.\n</reasoning>\nFinal Answer: 46.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 195 × -752"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 195 by -752: 195 × -752 = -146640.\n</reasoning>\nFinal Answer: -146640"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/5 * 2/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/5) × (2/5) = (30/25) = 6/5 after simplification.\n</reasoning>\nFinal Answer: 6/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹3710. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3710 × 18/100 = 667.8. Total = 3710 + 667.8 = 4377.8.\n</reasoning>\nFinal Answer: 4377.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 114 km/h. How far does it travel in 1 hours and 11 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 11/60 = 1.1833 hours. Distance = speed × time = 114 × 1.1833 = 134.9 km.\n</reasoning>\nFinal Answer: 134.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 178 km apart. Their speeds are 44 km/h and 103 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 44+103=147 km/h. Time = 178/147 = 1.2109 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -30 + -546"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -30 and -546: -30 + -546 = -576.\n</reasoning>\nFinal Answer: -576"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 60 and width 69."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 60 × 69 = 4140.\n</reasoning>\nFinal Answer: 4140"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (9 + 35) * (13 - 39)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (9+35)=44, (13-39)=-26, then 44×-26=-1144.\n</reasoning>\nFinal Answer: -1144"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [84, 53, 67, 8, 85, 22, 23, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 88 - 8 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mean of: [56, 39, 54, 3, 27, 74, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 324/7 = 46.2857.\n</reasoning>\nFinal Answer: 46.2857"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the range of: [12, 72, 64, 67, 48, 10, 10, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 72 - 10 = 62.\n</reasoning>\nFinal Answer: 62"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the range of: [57, 76, 90, 24, 23, 72, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 23 = 68.\n</reasoning>\nFinal Answer: 68"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -420 + -598"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -420 and -598: -420 + -598 = -1018.\n</reasoning>\nFinal Answer: -1018"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -47 = -905"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 22x = -858. Divide by 22: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 3 and width 92."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(3+92) = 2×95 = 190.\n</reasoning>\nFinal Answer: 190"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 8/10 + 20/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/10 + 20/6. Common denominator = 15. Result = 62/15.\n</reasoning>\nFinal Answer: 62/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 7/12 + 11/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/12 + 11/18. Common denominator = 36. Result = 43/36.\n</reasoning>\nFinal Answer: 43/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 79 and 59."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(79,59) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 13 and width 40."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 13 × 40 = 520.\n</reasoning>\nFinal Answer: 520"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (8 + 40) * (41 - 38)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (8+40)=48, (41-38)=3, then 48×3=144.\n</reasoning>\nFinal Answer: 144"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:47 and A = 100, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/47, so B = A × (47/48) = 100 × 47/48 = 97.9167.\n</reasoning>\nFinal Answer: 97.9167"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -653 mod 806"
},
{
"role": "assistant",
"content": "<reasoning>\n-653 mod 806: -653 = 806 × -1 + 153, so remainder = 153.\n</reasoning>\nFinal Answer: 153"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -7 + 599"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -7 and 599: -7 + 599 = 592.\n</reasoning>\nFinal Answer: 592"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -86 - 808"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 808 from -86: -86 - 808 = -894.\n</reasoning>\nFinal Answer: -894"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [38, 85, 73, 24, 51, 31, 69, 76, 62, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [24, 31, 38, 51, 54, 62, 69, 73, 76, 85]. Middle value(s) → median = 58.0.\n</reasoning>\nFinal Answer: 58.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the mode of: [45, 18, 58, 37, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {45: 1, 18: 1, 58: 1, 37: 1, 82: 1}. Most frequent: [45, 18, 58, 37, 82].\n</reasoning>\nFinal Answer: [45, 18, 58, 37, 82]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "389 is what percentage of 954?"
},
{
"role": "assistant",
"content": "<reasoning>\n(389/954) × 100 = 40.7757%.\n</reasoning>\nFinal Answer: 40.7757%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "419 is what percentage of 888?"
},
{
"role": "assistant",
"content": "<reasoning>\n(419/888) × 100 = 47.1847%.\n</reasoning>\nFinal Answer: 47.1847%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Given A = [1, 6, 12, 18] and B = [1, 8, 16], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 6, 8, 12, 16, 18].\n</reasoning>\nFinal Answer: [1, 6, 8, 12, 16, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -43 = 45"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from both sides: 8x = 88. Divide by 8: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 * 30 + 20 * 40"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 40×30=1200 and 20×40=800, then add: 2000.\n</reasoning>\nFinal Answer: 2000"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "List all positive factors of 94."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 94: factors are [1, 2, 47, 94].\n</reasoning>\nFinal Answer: [1, 2, 47, 94]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 26 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 26 = 260 worker-days. New time = 260 / 4 = 65.0 days.\n</reasoning>\nFinal Answer: 65.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 350 - -951"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -951 from 350: 350 - -951 = 1301.\n</reasoning>\nFinal Answer: 1301"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "20 workers can complete a job in 30 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 20 × 30 = 600 worker-days. New time = 600 / 17 = 35.2941 days.\n</reasoning>\nFinal Answer: 35.2941"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 24 = -104"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 16x = -128. Divide by 16: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹36261 at 16% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 36261 × 16 × 1 / 100 = 5801.76.\n</reasoning>\nFinal Answer: 5801.76"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 122 and 168."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(122,168) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 22, 19 and height 9."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (22+19) × 9 = 184.5.\n</reasoning>\nFinal Answer: 184.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 990 × -138"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 990 by -138: 990 × -138 = -136620.\n</reasoning>\nFinal Answer: -136620"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 + 1 ** 2 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 1²=1, then 20+1-1=20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [33, 49, 39, 12, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {33: 1, 49: 1, 39: 1, 12: 1, 8: 1}. Most frequent: [33, 49, 39, 12, 8].\n</reasoning>\nFinal Answer: [33, 49, 39, 12, 8]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (36 + 50) * (19 - 11)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (36+50)=86, (19-11)=8, then 86×8=688.\n</reasoning>\nFinal Answer: 688"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate: 5^2"
},
{
"role": "assistant",
"content": "<reasoning>\n5^2 = 5 × 5 = 25.\n</reasoning>\nFinal Answer: 25"
}
] | easy | [
"exponents"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 3 = 243"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 30x = 240. Divide by 30: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 23 mod -206"
},
{
"role": "assistant",
"content": "<reasoning>\n23 mod -206: 23 = -206 × -1 + -183, so remainder = -183.\n</reasoning>\nFinal Answer: -183"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 * 29 + 34 * 9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 8×29=232 and 34×9=306, then add: 538.\n</reasoning>\nFinal Answer: 538"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:47 and A = 71, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/47, so B = A × (47/17) = 71 × 47/17 = 196.2941.\n</reasoning>\nFinal Answer: 196.2941"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 9/17 * 9/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/17) × (9/9) = (81/153) = 9/17 after simplification.\n</reasoning>\nFinal Answer: 9/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 820 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 820 × (1 + 75/100) = 820 × 1.75 = 1435.0.\n</reasoning>\nFinal Answer: 1435.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 270 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 270 × (1 - 40/100) = 270 × 0.6 = 162.0.\n</reasoning>\nFinal Answer: 162.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 8, 11, 13, 16, 18] and B = [2, 5, 6, 11, 12, 13, 14, 16], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 4, 8, 18].\n</reasoning>\nFinal Answer: [1, 4, 8, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [5, 6, 9, 10] and B = [3, 8, 9, 10, 11, 13, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [5, 6].\n</reasoning>\nFinal Answer: [5, 6]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the median of: [27, 72, 86, 84, 40, 57, 57, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [27, 40, 54, 57, 57, 72, 84, 86]. Middle value(s) → median = 57.0.\n</reasoning>\nFinal Answer: 57.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -969 × -509"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -969 by -509: -969 × -509 = 493221.\n</reasoning>\nFinal Answer: 493221"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 181 and 167."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(181,167) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the mode of: [25, 57, 48, 34, 39, 76, 3, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {25: 1, 57: 1, 48: 1, 34: 1, 39: 1, 76: 1, 3: 1, 1: 1}. Most frequent: [25, 57, 48, 34, 39, 76, 3, 1].\n</reasoning>\nFinal Answer: [25, 57, 48, 3... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 13, 18, 19] and B = [1, 5, 7, 13, 15, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 18].\n</reasoning>\nFinal Answer: [4, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -23 - 683"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 683 from -23: -23 - 683 = -706.\n</reasoning>\nFinal Answer: -706"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (41 + 12) * (25 - 32)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (41+12)=53, (25-32)=-7, then 53×-7=-371.\n</reasoning>\nFinal Answer: -371"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 194 × 254"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 194 by 254: 194 × 254 = 49276.\n</reasoning>\nFinal Answer: 49276"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [68, 52, 60, 72, 22, 31, 82, 17, 72, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {68: 1, 52: 1, 60: 1, 72: 2, 22: 1, 31: 1, 82: 1, 17: 1, 4: 1}. Most frequent: 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the median of: [25, 48, 7, 33, 48, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 25, 33, 48, 48, 88]. Middle value(s) → median = 40.5.\n</reasoning>\nFinal Answer: 40.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 268 × 638"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 268 by 638: 268 × 638 = 170984.\n</reasoning>\nFinal Answer: 170984"
}
] | medium | [
"arithmetic",
"computation"
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.