messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: 85 ÷ -540"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 85 by -540. 85 ÷ -540 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 30 and height 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 30 × 21 = 315.0.\n</reasoning>\nFinal Answer: 315.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 2/2 + 2/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/2 + 2/11. Common denominator = 11. Result = 13/11.\n</reasoning>\nFinal Answer: 13/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 15% of 37?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 37 = (15/100) × 37 = 5.55.\n</reasoning>\nFinal Answer: 5.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 9, 12, 13, 16, 19] and B = [1, 5, 6, 9, 10, 17, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1, 9].\n</reasoning>\nFinal Answer: [1, 9]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -235 × -789"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -235 by -789: -235 × -789 = 185415.\n</reasoning>\nFinal Answer: 185415"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [32, 89, 9, 26, 9, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {32: 1, 89: 1, 9: 2, 26: 1, 84: 1}. Most frequent: 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "459 is what percentage of 577?"
},
{
"role": "assistant",
"content": "<reasoning>\n(459/577) × 100 = 79.5494%.\n</reasoning>\nFinal Answer: 79.5494%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "What is 60% of 615?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 615 = (60/100) × 615 = 369.0.\n</reasoning>\nFinal Answer: 369.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -35 = -275"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 20x = -240. Divide by 20: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 79 and width 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 79 × 44 = 3476.\n</reasoning>\nFinal Answer: 3476"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -699 mod -863"
},
{
"role": "assistant",
"content": "<reasoning>\n-699 mod -863: -699 = -863 × 0 + -699, so remainder = -699.\n</reasoning>\nFinal Answer: -699"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 10% of 65?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 65 = (10/100) × 65 = 6.5.\n</reasoning>\nFinal Answer: 6.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "201 is what percentage of 235?"
},
{
"role": "assistant",
"content": "<reasoning>\n(201/235) × 100 = 85.5319%.\n</reasoning>\nFinal Answer: 85.5319%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (14 + 29) * (6 - 40)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (14+29)=43, (6-40)=-34, then 43×-34=-1462.\n</reasoning>\nFinal Answer: -1462"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -22 = -232"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 15x = -210. Divide by 15: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 * 8 + 26 * 28"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 26×8=208 and 26×28=728, then add: 936.\n</reasoning>\nFinal Answer: 936"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 77 and 32."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(77,32) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 39 and common difference 9, find the 20th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 39 + (20-1)×9 = 39 + 171 = 210.\n</reasoning>\nFinal Answer: 210"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mode of: [8, 45, 29, 16, 91, 27, 29, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {8: 1, 45: 1, 29: 2, 16: 1, 91: 1, 27: 1, 82: 1}. Most frequent: 29.\n</reasoning>\nFinal Answer: 29"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 11/10 / 4/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/10) ÷ (4/17) = (11/10) × (17/4) = 187/40.\n</reasoning>\nFinal Answer: 187/40"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 252 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 252 × (1 + 5/100) = 252 × 1.05 = 264.6.\n</reasoning>\nFinal Answer: 264.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "104 is what percentage of 241?"
},
{
"role": "assistant",
"content": "<reasoning>\n(104/241) × 100 = 43.1535%.\n</reasoning>\nFinal Answer: 43.1535%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the range of: [41, 81, 77, 44, 11, 25, 75, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 81 - 11 = 70.\n</reasoning>\nFinal Answer: 70"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "128 is what percentage of 336?"
},
{
"role": "assistant",
"content": "<reasoning>\n(128/336) × 100 = 38.0952%.\n</reasoning>\nFinal Answer: 38.0952%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 13 and width 62."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 13 × 62 = 806.\n</reasoning>\nFinal Answer: 806"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 29 = -1123"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 24x = -1152. Divide by 24: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -375 - -339"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -339 from -375: -375 - -339 = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹4504 at 13% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 4504 × 13 × 1 / 100 = 585.52.\n</reasoning>\nFinal Answer: 585.52"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -15 = -67"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 2x = -52. Divide by 2: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 226 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 226 × (1 - 45/100) = 226 × 0.55 = 124.3.\n</reasoning>\nFinal Answer: 124.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:40 and A = 88, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/40, so B = A × (40/7) = 88 × 40/7 = 502.8571.\n</reasoning>\nFinal Answer: 502.8571"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -41 + 48"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -41 and 48: -41 + 48 = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 16/10 / 8/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/10) ÷ (8/11) = (16/10) × (11/8) = 11/5.\n</reasoning>\nFinal Answer: 11/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 8/3 / 18/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/3) ÷ (18/20) = (8/3) × (20/18) = 80/27.\n</reasoning>\nFinal Answer: 80/27"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 551 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 551 × (1 + 65/100) = 551 × 1.65 = 909.15.\n</reasoning>\nFinal Answer: 909.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [57, 3, 64, 64, 61, 38, 72, 89, 97, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 555/10 = 55.5.\n</reasoning>\nFinal Answer: 55.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 25 = -983"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 28x = -1008. Divide by 28: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 2 * 37 - 13"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 2×37=74, then 44+74-13=105.\n</reasoning>\nFinal Answer: 105"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹4715. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4715 × 5/100 = 235.75. Total = 4715 + 235.75 = 4950.75.\n</reasoning>\nFinal Answer: 4950.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 13/10 / 8/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/10) ÷ (8/3) = (13/10) × (3/8) = 39/80.\n</reasoning>\nFinal Answer: 39/80"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (4 + 4) * (40 - 20)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (4+4)=8, (40-20)=20, then 8×20=160.\n</reasoning>\nFinal Answer: 160"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 19 and height 20."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 19 × 20 = 380.\n</reasoning>\nFinal Answer: 380"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-9)x + (8) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -9² - 4×1×8 = 49. √discriminant = 7. x = (-(-9) ± 7) / (2×1). Solutions: x = 8 or x = 1.\n</reasoning>\nFinal Answer: x = 8 or x = 1"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Increase 518 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 518 × (1 + 17/100) = 518 × 1.17 = 606.06.\n</reasoning>\nFinal Answer: 606.06"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 431 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 431 × (1 - 100/100) = 431 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 349 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 349 × (1 - 75/100) = 349 × 0.25 = 87.25.\n</reasoning>\nFinal Answer: 87.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 635 mod -645"
},
{
"role": "assistant",
"content": "<reasoning>\n635 mod -645: 635 = -645 × -1 + -10, so remainder = -10.\n</reasoning>\nFinal Answer: -10"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (12 + 40) * (6 - 35)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (12+40)=52, (6-35)=-29, then 52×-29=-1508.\n</reasoning>\nFinal Answer: -1508"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -159 - 147"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 147 from -159: -159 - 147 = -306.\n</reasoning>\nFinal Answer: -306"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 13 and width 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 13 × 39 = 507.\n</reasoning>\nFinal Answer: 507"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 47 = -358"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 9x = -405. Divide by 9: x = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -76 mod -257"
},
{
"role": "assistant",
"content": "<reasoning>\n-76 mod -257: -76 = -257 × 0 + -76, so remainder = -76.\n</reasoning>\nFinal Answer: -76"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (5)x + (-36) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 5² - 4×1×-36 = 169. √discriminant = 13. x = (-(5) ± 13) / (2×1). Solutions: x = 4 or x = -9.\n</reasoning>\nFinal Answer: x = 4 or x = -9"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 4/4 * 11/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/4) × (11/9) = (44/36) = 11/9 after simplification.\n</reasoning>\nFinal Answer: 11/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 12, 24, and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 12 + 24 + 35 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 286 ÷ -971"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 286 by -971. 286 ÷ -971 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 2/16 * 11/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/16) × (11/17) = (22/272) = 11/136 after simplification.\n</reasoning>\nFinal Answer: 11/136"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 11 = 20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 3x = 9. Divide by 3: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [76, 88, 2, 75, 95, 66, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 2 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Ravi has 131 apples and buys 38 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 131 + 38 = 169.\n</reasoning>\nFinal Answer: 169"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 15 ** 2 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 15²=225, then 15+225-12=228.\n</reasoning>\nFinal Answer: 228"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:30 and A = 84, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/30, so B = A × (30/11) = 84 × 30/11 = 229.0909.\n</reasoning>\nFinal Answer: 229.0909"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 271 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 271 × (1 - 17/100) = 271 × 0.83 = 224.93.\n</reasoning>\nFinal Answer: 224.93"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 60% of 363?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 363 = (60/100) × 363 = 217.8.\n</reasoning>\nFinal Answer: 217.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -763 + 3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -763 and 3: -763 + 3 = -760.\n</reasoning>\nFinal Answer: -760"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 30% of 66?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 66 = (30/100) × 66 = 19.8.\n</reasoning>\nFinal Answer: 19.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 974 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 974 × (1 + 3/100) = 974 × 1.03 = 1003.22.\n</reasoning>\nFinal Answer: 1003.22"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 1 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 1 × 11 = 5.5.\n</reasoning>\nFinal Answer: 5.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 144 apples and buys 138 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 144 + 138 = 282.\n</reasoning>\nFinal Answer: 282"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 15 = 406"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 17x = 391. Divide by 17: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 15/3 + 4/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/3 + 4/5. Common denominator = 5. Result = 29/5.\n</reasoning>\nFinal Answer: 29/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 29 ** 2 - 21"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 29²=841, then 8+841-21=828.\n</reasoning>\nFinal Answer: 828"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 6/13 * 14/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/13) × (14/8) = (84/104) = 21/26 after simplification.\n</reasoning>\nFinal Answer: 21/26"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 153 km/h. How far does it travel in 11 hours and 50 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 50/60 = 11.8333 hours. Distance = speed × time = 153 × 11.8333 = 1810.5 km.\n</reasoning>\nFinal Answer: 1810.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 1/6 * 19/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/6) × (19/15) = (19/90) = 19/90 after simplification.\n</reasoning>\nFinal Answer: 19/90"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 536 - -332"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -332 from 536: 536 - -332 = 868.\n</reasoning>\nFinal Answer: 868"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -453 mod 903"
},
{
"role": "assistant",
"content": "<reasoning>\n-453 mod 903: -453 = 903 × -1 + 450, so remainder = 450.\n</reasoning>\nFinal Answer: 450"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 9 and 8."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (9×8)/1 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 26 = 606"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 29x = 580. Divide by 29: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 138 apples and buys 115 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 138 + 115 = 253.\n</reasoning>\nFinal Answer: 253"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 494 mod -812"
},
{
"role": "assistant",
"content": "<reasoning>\n494 mod -812: 494 = -812 × -1 + -318, so remainder = -318.\n</reasoning>\nFinal Answer: -318"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 197 - 874"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 874 from 197: 197 - 874 = -677.\n</reasoning>\nFinal Answer: -677"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 995 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 995 × (1 - 7/100) = 995 × 0.9299999999999999 = 925.35.\n</reasoning>\nFinal Answer: 925.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 23 = -297"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 16x = -320. Divide by 16: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [30, 18, 79, 77, 85, 78, 10, 57, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 85 - 10 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Decrease 241 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 241 × (1 - 30/100) = 241 × 0.7 = 168.7.\n</reasoning>\nFinal Answer: 168.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 8, 30 and height 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (8+30) × 7 = 133.0.\n</reasoning>\nFinal Answer: 133.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 651 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 651 × (1 + 3/100) = 651 × 1.03 = 670.53.\n</reasoning>\nFinal Answer: 670.53"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 81 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 81 × 37 = 1498.5.\n</reasoning>\nFinal Answer: 1498.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -398 mod 102"
},
{
"role": "assistant",
"content": "<reasoning>\n-398 mod 102: -398 = 102 × -4 + 10, so remainder = 10.\n</reasoning>\nFinal Answer: 10"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 159 mod 284"
},
{
"role": "assistant",
"content": "<reasoning>\n159 mod 284: 159 = 284 × 0 + 159, so remainder = 159.\n</reasoning>\nFinal Answer: 159"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:29 and A = 15, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/29, so B = A × (29/29) = 15 × 29/29 = 15.0.\n</reasoning>\nFinal Answer: 15.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 40% of 997?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 997 = (40/100) × 997 = 398.8.\n</reasoning>\nFinal Answer: 398.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [50, 33, 69, 48, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 69 - 31 = 38.\n</reasoning>\nFinal Answer: 38"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 61 and height 61."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 61 × 61 = 3721.\n</reasoning>\nFinal Answer: 3721"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -375 mod 100"
},
{
"role": "assistant",
"content": "<reasoning>\n-375 mod 100: -375 = 100 × -4 + 25, so remainder = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (4 + 38) * (36 - 12)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (4+38)=42, (36-12)=24, then 42×24=1008.\n</reasoning>\nFinal Answer: 1008"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 18/6 - 1/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/6 - 1/15. LCD = 15. Result = 44/15.\n</reasoning>\nFinal Answer: 44/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -135 mod 342"
},
{
"role": "assistant",
"content": "<reasoning>\n-135 mod 342: -135 = 342 × -1 + 207, so remainder = 207.\n</reasoning>\nFinal Answer: 207"
}
] | medium | [
"arithmetic",
"computation"
] |
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