messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "If the ratio of A to B is 10:19 and A = 26, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/19, so B = A × (19/10) = 26 × 19/10 = 49.4.\n</reasoning>\nFinal Answer: 49.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 846 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 846 × (1 + 10/100) = 846 × 1.1 = 930.6.\n</reasoning>\nFinal Answer: 930.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 5/8 / 15/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/8) ÷ (15/12) = (5/8) × (12/15) = 1/2.\n</reasoning>\nFinal Answer: 1/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹29120 at 13% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 29120 × 13 × 1 / 100 = 3785.6.\n</reasoning>\nFinal Answer: 3785.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (22 + 19) * (18 - 10)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (22+19)=41, (18-10)=8, then 41×8=328.\n</reasoning>\nFinal Answer: 328"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 31 * 40 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 31×40=1240, then 21+1240-29=1232.\n</reasoning>\nFinal Answer: 1232"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (7 + 48) * (44 - 48)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (7+48)=55, (44-48)=-4, then 55×-4=-220.\n</reasoning>\nFinal Answer: -220"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [23, 64, 50, 86, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [23, 50, 64, 86, 87]. Middle value(s) → median = 64.\n</reasoning>\nFinal Answer: 64"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -582 - -37"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from -582: -582 - -37 = -545.\n</reasoning>\nFinal Answer: -545"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 13/11 * 7/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/11) × (7/4) = (91/44) = 91/44 after simplification.\n</reasoning>\nFinal Answer: 91/44"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 28 apples and buys 167 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 28 + 167 = 195.\n</reasoning>\nFinal Answer: 195"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 307 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 307 × (1 + 5/100) = 307 × 1.05 = 322.35.\n</reasoning>\nFinal Answer: 322.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 5, 35, and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 5 + 35 + 37 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 * 33 + 38 * 34"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 22×33=726 and 38×34=1292, then add: 2018.\n</reasoning>\nFinal Answer: 2018"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 7, 9, 17, 18, 19] and B = [1, 2, 6, 16, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [6, 7, 9, 16, 17, 19].\n</reasoning>\nFinal Answer:... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mode of: [47, 20, 99, 14, 39, 57, 33, 50, 96, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {47: 1, 20: 1, 99: 1, 14: 1, 39: 1, 57: 1, 33: 1, 50: 1, 96: 1, 11: 1}. Most frequent: [47, 20, 99, 14, 39, 57, 33, 50, 96, 11].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 19/18 - 5/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/18 - 5/13. LCD = 234. Result = 157/234.\n</reasoning>\nFinal Answer: 157/234"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -47 = -747"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 28x = -700. Divide by 28: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 40 apples and buys 8 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 40 + 8 = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -388 mod 320"
},
{
"role": "assistant",
"content": "<reasoning>\n-388 mod 320: -388 = 320 × -2 + 252, so remainder = 252.\n</reasoning>\nFinal Answer: 252"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 151 × -473"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 151 by -473: 151 × -473 = -71423.\n</reasoning>\nFinal Answer: -71423"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -48 = -318"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 18x = -270. Divide by 18: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 17 and height 34."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 17 × 34 = 289.0.\n</reasoning>\nFinal Answer: 289.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹41791 at 2% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 41791 × 2 × 7 / 100 = 5850.74.\n</reasoning>\nFinal Answer: 5850.74"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [47, 42, 85, 71, 99, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {47: 1, 42: 1, 85: 1, 71: 1, 99: 1, 56: 1}. Most frequent: [47, 42, 85, 71, 99, 56].\n</reasoning>\nFinal Answer: [47, 42, 85, 71, 99, 56]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the median of: [76, 36, 61, 89, 11, 81, 10, 87, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 11, 36, 57, 61, 76, 81, 87, 89]. Middle value(s) → median = 61.\n</reasoning>\nFinal Answer: 61"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 11, 19, and 28."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 11 + 19 + 28 = 58.\n</reasoning>\nFinal Answer: 58"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:17 and A = 78, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/17, so B = A × (17/3) = 78 × 17/3 = 442.0.\n</reasoning>\nFinal Answer: 442.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 77 km/h. How far does it travel in 8 hours and 46 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 46/60 = 8.7667 hours. Distance = speed × time = 77 × 8.7667 = 675.0333 km.\n</reasoning>\nFinal Answer: 675.0333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 69 apples and buys 131 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 69 + 131 = 200.\n</reasoning>\nFinal Answer: 200"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹817. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 817 × 28/100 = 228.76. Total = 817 + 228.76 = 1045.76.\n</reasoning>\nFinal Answer: 1045.76"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 71 apples and buys 85 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 71 + 85 = 156.\n</reasoning>\nFinal Answer: 156"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 217 km apart. Their speeds are 72 km/h and 89 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 72+89=161 km/h. Time = 217/161 = 1.3478 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 12 ** 2 - 13"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 12²=144, then 3+144-13=134.\n</reasoning>\nFinal Answer: 134"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 27 and width 82."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(27+82) = 2×109 = 218.\n</reasoning>\nFinal Answer: 218"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mean of: [13, 22, 47, 48, 30, 22, 82, 50, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 333/9 = 37.0.\n</reasoning>\nFinal Answer: 37.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -641 ÷ -620"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -641 by -620. -641 ÷ -620 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 * 44 + 44 * 19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 21×44=924 and 44×19=836, then add: 1760.\n</reasoning>\nFinal Answer: 1760"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 113 + -403"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 113 and -403: 113 + -403 = -290.\n</reasoning>\nFinal Answer: -290"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹46766 at 10% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 46766 × 10 × 1 / 100 = 4676.6.\n</reasoning>\nFinal Answer: 4676.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -720 × -931"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -720 by -931: -720 × -931 = 670320.\n</reasoning>\nFinal Answer: 670320"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -257 - 767"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 767 from -257: -257 - 767 = -1024.\n</reasoning>\nFinal Answer: -1024"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 22 and common difference 5, find the 20th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 22 + (20-1)×5 = 22 + 95 = 117.\n</reasoning>\nFinal Answer: 117"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -354 × -950"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -354 by -950: -354 × -950 = 336300.\n</reasoning>\nFinal Answer: 336300"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 125 km/h. How far does it travel in 3 hours and 47 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 47/60 = 3.7833 hours. Distance = speed × time = 125 × 3.7833 = 472.9167 km.\n</reasoning>\nFinal Answer: 472.9167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 44 = -64"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 4x = -108. Divide by 4: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 33 and common difference 9, find the 28th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 33 + (28-1)×9 = 33 + 243 = 276.\n</reasoning>\nFinal Answer: 276"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:8 and A = 24, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/8, so B = A × (8/46) = 24 × 8/46 = 4.1739.\n</reasoning>\nFinal Answer: 4.1739"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 53 km/h. How far does it travel in 4 hours and 10 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 10/60 = 4.1667 hours. Distance = speed × time = 53 × 4.1667 = 220.8333 km.\n</reasoning>\nFinal Answer: 220.8333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-8)x + (-90) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -8² - 4×2×-90 = 784. √discriminant = 28. x = (-(-8) ± 28) / (2×2). Solutions: x = -5 or x = 9.\n</reasoning>\nFinal Answer: x = -5 or x = 9"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the square root of 1."
},
{
"role": "assistant",
"content": "<reasoning>\n√1 = 1 because 1² = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"roots",
"exponents"
] |
[
{
"role": "user",
"content": "Find the median of: [6, 35, 52, 9, 99, 40, 75, 16, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 9, 15, 16, 35, 40, 52, 75, 99]. Middle value(s) → median = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹3835 at 13% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 3835 × 13 × 10 / 100 = 4985.5.\n</reasoning>\nFinal Answer: 4985.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -19 = 709"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 26x = 728. Divide by 26: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 6, 8, 12, 16] and B = [1, 8, 10], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 4, 6, 8, 10, 12, 16].\n</reasoning>\nFinal Answer: [1, 3, 4, 6, 8, 10, 12, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -16 = -316"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 30x = -300. Divide by 30: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 10/7 * 16/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/7) × (16/10) = (160/70) = 16/7 after simplification.\n</reasoning>\nFinal Answer: 16/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -8 = 109"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 9x = 117. Divide by 9: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 23 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 23 = 69 worker-days. New time = 69 / 10 = 6.9 days.\n</reasoning>\nFinal Answer: 6.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 588 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 588 × (1 - 35/100) = 588 × 0.65 = 382.2.\n</reasoning>\nFinal Answer: 382.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -937 mod 929"
},
{
"role": "assistant",
"content": "<reasoning>\n-937 mod 929: -937 = 929 × -2 + 921, so remainder = 921.\n</reasoning>\nFinal Answer: 921"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 57 and height 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 57 × 17 = 969.\n</reasoning>\nFinal Answer: 969"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 50% of 810?"
},
{
"role": "assistant",
"content": "<reasoning>\n50% of 810 = (50/100) × 810 = 405.0.\n</reasoning>\nFinal Answer: 405.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (0)x + (-12) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 0² - 4×3×-12 = 144. √discriminant = 12. x = (-(0) ± 12) / (2×3). Solutions: x = 2 or x = -2.\n</reasoning>\nFinal Answer: x = 2 or x = -2"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Increase 268 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 268 × (1 + 15/100) = 268 × 1.15 = 308.2.\n</reasoning>\nFinal Answer: 308.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 40% of 591?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 591 = (40/100) × 591 = 236.4.\n</reasoning>\nFinal Answer: 236.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 87 apples and buys 8 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 87 + 8 = 95.\n</reasoning>\nFinal Answer: 95"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 53 ÷ 51"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 53 by 51. 53 ÷ 51 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [64, 7, 30, 86, 27, 13, 54, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 86 - 7 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹1519 at 11% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 1519 × 11 × 6 / 100 = 1002.54.\n</reasoning>\nFinal Answer: 1002.54"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -47 = -211"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 4x = -164. Divide by 4: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:14 and A = 40, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/14, so B = A × (14/40) = 40 × 14/40 = 14.0.\n</reasoning>\nFinal Answer: 14.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -320 + -890"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -320 and -890: -320 + -890 = -1210.\n</reasoning>\nFinal Answer: -1210"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 582 km apart. Their speeds are 112 km/h and 106 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 112+106=218 km/h. Time = 582/218 = 2.6697 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 49 * 28 - 50"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 49×28=1372, then 15+1372-50=1337.\n</reasoning>\nFinal Answer: 1337"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 + 24 ** 2 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 24²=576, then 4+576-34=546.\n</reasoning>\nFinal Answer: 546"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 351 mod -62"
},
{
"role": "assistant",
"content": "<reasoning>\n351 mod -62: 351 = -62 × -6 + -21, so remainder = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -806 - -356"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -356 from -806: -806 - -356 = -450.\n</reasoning>\nFinal Answer: -450"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 45 = 311"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 19x = 266. Divide by 19: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 7 = 425"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 19x = 418. Divide by 19: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 11 * 29 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 11×29=319, then 46+319-46=319.\n</reasoning>\nFinal Answer: 319"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 + 12 ** 2 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 12²=144, then 14+144-25=133.\n</reasoning>\nFinal Answer: 133"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 216 - -585"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -585 from 216: 216 - -585 = 801.\n</reasoning>\nFinal Answer: 801"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 2/18 - 1/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/18 - 1/17. LCD = 153. Result = 8/153.\n</reasoning>\nFinal Answer: 8/153"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [92, 1, 68, 61, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 1 = 91.\n</reasoning>\nFinal Answer: 91"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 35 and width 19."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(35+19) = 2×54 = 108.\n</reasoning>\nFinal Answer: 108"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 121 and 44."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(121,44) = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 16/15 * 15/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/15) × (15/18) = (240/270) = 8/9 after simplification.\n</reasoning>\nFinal Answer: 8/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 120 km/h. How far does it travel in 3 hours and 40 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 40/60 = 3.6667 hours. Distance = speed × time = 120 × 3.6667 = 440.0 km.\n</reasoning>\nFinal Answer: 440.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -335 × -146"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -335 by -146: -335 × -146 = 48910.\n</reasoning>\nFinal Answer: 48910"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 114 apples and buys 195 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 114 + 195 = 309.\n</reasoning>\nFinal Answer: 309"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [69, 14, 49, 52, 39, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {69: 1, 14: 1, 49: 1, 52: 1, 39: 1, 11: 1}. Most frequent: [69, 14, 49, 52, 39, 11].\n</reasoning>\nFinal Answer: [69, 14, 49, 52, 39, 11]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -695 ÷ 400"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -695 by 400. -695 ÷ 400 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 252 + 497"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 252 and 497: 252 + 497 = 749.\n</reasoning>\nFinal Answer: 749"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 25 and 31."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (25×31)/1 = 775.\n</reasoning>\nFinal Answer: 775"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -457 - 492"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 492 from -457: -457 - 492 = -949.\n</reasoning>\nFinal Answer: -949"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 5% of 510?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 510 = (5/100) × 510 = 25.5.\n</reasoning>\nFinal Answer: 25.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "590 is what percentage of 740?"
},
{
"role": "assistant",
"content": "<reasoning>\n(590/740) × 100 = 79.7297%.\n</reasoning>\nFinal Answer: 79.7297%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (10)x + (24) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 10² - 4×1×24 = 4. √discriminant = 2. x = (-(10) ± 2) / (2×1). Solutions: x = -4 or x = -6.\n</reasoning>\nFinal Answer: x = -4 or x = -6"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 20 = -916"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 24x = -936. Divide by 24: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
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