messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Two trains start towards each other from stations 838 km apart. Their speeds are 51 km/h and 92 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 51+92=143 km/h. Time = 838/143 = 5.8601 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 24 and height 20."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 24 × 20 = 240.0.\n</reasoning>\nFinal Answer: 240.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 12/18 + 15/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/18 + 15/19. Common denominator = 57. Result = 83/57.\n</reasoning>\nFinal Answer: 83/57"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [76, 63, 87, 10, 94, 66, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 10 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [10, 18, 26, 34, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 10 and common difference 8. Next term = 42 + 8 = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 12/9 + 6/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/9 + 6/16. Common denominator = 24. Result = 41/24.\n</reasoning>\nFinal Answer: 41/24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 564 - -134"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -134 from 564: 564 - -134 = 698.\n</reasoning>\nFinal Answer: 698"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 93 and width 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 93 × 38 = 3534.\n</reasoning>\nFinal Answer: 3534"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 909 + 313"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 909 and 313: 909 + 313 = 1222.\n</reasoning>\nFinal Answer: 1222"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 57 and width 80."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 57 × 80 = 4560.\n</reasoning>\nFinal Answer: 4560"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 473 mod 415"
},
{
"role": "assistant",
"content": "<reasoning>\n473 mod 415: 473 = 415 × 1 + 58, so remainder = 58.\n</reasoning>\nFinal Answer: 58"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (21 + 38) * (29 - 36)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (21+38)=59, (29-36)=-7, then 59×-7=-413.\n</reasoning>\nFinal Answer: -413"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 756 - -194"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -194 from 756: 756 - -194 = 950.\n</reasoning>\nFinal Answer: 950"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 48 km/h. How far does it travel in 1 hours and 30 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 30/60 = 1.5000 hours. Distance = speed × time = 48 × 1.5000 = 72.0 km.\n</reasoning>\nFinal Answer: 72.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -15 = 117"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 11x = 132. Divide by 11: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 3 ** 2 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 3²=9, then 3+9-2=10.\n</reasoning>\nFinal Answer: 10"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 2/20 - 16/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/20 - 16/7. LCD = 70. Result = -153/70.\n</reasoning>\nFinal Answer: -153/70"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -156 ÷ -828"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -156 by -828. -156 ÷ -828 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 8, 29 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (8+29) × 11 = 203.5.\n</reasoning>\nFinal Answer: 203.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 102 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 102 × (1 + 17/100) = 102 × 1.17 = 119.34.\n</reasoning>\nFinal Answer: 119.34"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 64 and height 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 64 × 29 = 928.0.\n</reasoning>\nFinal Answer: 928.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:8 and A = 59, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/8, so B = A × (8/45) = 59 × 8/45 = 10.4889.\n</reasoning>\nFinal Answer: 10.4889"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 103 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 103 × (1 - 17/100) = 103 × 0.83 = 85.49.\n</reasoning>\nFinal Answer: 85.49"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 584 mod 868"
},
{
"role": "assistant",
"content": "<reasoning>\n584 mod 868: 584 = 868 × 0 + 584, so remainder = 584.\n</reasoning>\nFinal Answer: 584"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/15 / 18/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/15) ÷ (18/20) = (20/15) × (20/18) = 40/27.\n</reasoning>\nFinal Answer: 40/27"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 48 and height 34."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 48 × 34 = 1632.\n</reasoning>\nFinal Answer: 1632"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:8 and A = 67, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/8, so B = A × (8/25) = 67 × 8/25 = 21.44.\n</reasoning>\nFinal Answer: 21.44"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 85 × -377"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 85 by -377: 85 × -377 = -32045.\n</reasoning>\nFinal Answer: -32045"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 33 ** 2 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 33²=1089, then 31+1089-47=1073.\n</reasoning>\nFinal Answer: 1073"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 118 apples and buys 108 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 118 + 108 = 226.\n</reasoning>\nFinal Answer: 226"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 9, 39 and height 30."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (9+39) × 30 = 720.0.\n</reasoning>\nFinal Answer: 720.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 51 and width 46."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 51 × 46 = 2346.\n</reasoning>\nFinal Answer: 2346"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -49 = 41"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 5x = 90. Divide by 5: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -232 mod -782"
},
{
"role": "assistant",
"content": "<reasoning>\n-232 mod -782: -232 = -782 × 0 + -232, so remainder = -232.\n</reasoning>\nFinal Answer: -232"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 75% of 323?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 323 = (75/100) × 323 = 242.25.\n</reasoning>\nFinal Answer: 242.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -3 = 333"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 12x = 336. Divide by 12: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -572 - 404"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 404 from -572: -572 - 404 = -976.\n</reasoning>\nFinal Answer: -976"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 35 and common difference 8, find the 32th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 35 + (32-1)×8 = 35 + 248 = 283.\n</reasoning>\nFinal Answer: 283"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -11 = 11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 11x = 22. Divide by 11: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 17, 34, and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 17 + 34 + 37 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 965 × -642"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 965 by -642: 965 × -642 = -619530.\n</reasoning>\nFinal Answer: -619530"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 60% of 933?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 933 = (60/100) × 933 = 559.8.\n</reasoning>\nFinal Answer: 559.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -85 × 646"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -85 by 646: -85 × 646 = -54910.\n</reasoning>\nFinal Answer: -54910"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 25% of 228?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 228 = (25/100) × 228 = 57.0.\n</reasoning>\nFinal Answer: 57.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 5% of 199?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 199 = (5/100) × 199 = 9.95.\n</reasoning>\nFinal Answer: 9.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 419 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 20%: 419 × (1 + 20/100) = 419 × 1.2 = 502.8.\n</reasoning>\nFinal Answer: 502.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -943 mod 348"
},
{
"role": "assistant",
"content": "<reasoning>\n-943 mod 348: -943 = 348 × -3 + 101, so remainder = 101.\n</reasoning>\nFinal Answer: 101"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 105 apples and buys 161 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 105 + 161 = 266.\n</reasoning>\nFinal Answer: 266"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "15 is what percentage of 135?"
},
{
"role": "assistant",
"content": "<reasoning>\n(15/135) × 100 = 11.1111%.\n</reasoning>\nFinal Answer: 11.1111%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 14/9 / 14/9"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/9) ÷ (14/9) = (14/9) × (9/14) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 * 15 + 40 * 46"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 46×15=690 and 40×46=1840, then add: 2530.\n</reasoning>\nFinal Answer: 2530"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹32046 at 9% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 32046 × 9 × 6 / 100 = 17304.84.\n</reasoning>\nFinal Answer: 17304.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 5/7 - 10/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/7 - 10/9. LCD = 63. Result = -25/63.\n</reasoning>\nFinal Answer: -25/63"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -978 × 114"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -978 by 114: -978 × 114 = -111492.\n</reasoning>\nFinal Answer: -111492"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 11 = -275"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 22x = -286. Divide by 22: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 15/6 * 12/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/6) × (12/7) = (180/42) = 30/7 after simplification.\n</reasoning>\nFinal Answer: 30/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (33 + 5) * (46 - 15)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (33+5)=38, (46-15)=31, then 38×31=1178.\n</reasoning>\nFinal Answer: 1178"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 633 - -343"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -343 from 633: 633 - -343 = 976.\n</reasoning>\nFinal Answer: 976"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 5 and width 49."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(5+49) = 2×54 = 108.\n</reasoning>\nFinal Answer: 108"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the median of: [66, 47, 20, 97, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [20, 47, 50, 66, 97]. Middle value(s) → median = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 9 and common difference 5, find the 38th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 9 + (38-1)×5 = 9 + 185 = 194.\n</reasoning>\nFinal Answer: 194"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 49 × -249"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 49 by -249: 49 × -249 = -12201.\n</reasoning>\nFinal Answer: -12201"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -49 + 281"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -49 and 281: -49 + 281 = 232.\n</reasoning>\nFinal Answer: 232"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 187 km/h. How far does it travel in 1 hours and 9 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 9/60 = 1.1500 hours. Distance = speed × time = 187 × 1.1500 = 215.05 km.\n</reasoning>\nFinal Answer: 215.05"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 5 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 5 = 55 worker-days. New time = 55 / 4 = 13.75 days.\n</reasoning>\nFinal Answer: 13.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [38, 45, 85, 69, 48, 39, 68, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 480/8 = 60.0.\n</reasoning>\nFinal Answer: 60.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 11/16 - 12/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/16 - 12/9. LCD = 48. Result = -31/48.\n</reasoning>\nFinal Answer: -31/48"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 66 and height 98."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 66 × 98 = 3234.0.\n</reasoning>\nFinal Answer: 3234.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "126 is what percentage of 925?"
},
{
"role": "assistant",
"content": "<reasoning>\n(126/925) × 100 = 13.6216%.\n</reasoning>\nFinal Answer: 13.6216%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 11, 26 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (11+26) × 50 = 925.0.\n</reasoning>\nFinal Answer: 925.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 + 44 ** 2 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 44²=1936, then 34+1936-14=1956.\n</reasoning>\nFinal Answer: 1956"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 4/10 + 12/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/10 + 12/20. Common denominator = 5. Result = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 12 = -603"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 15x = -615. Divide by 15: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 31 * 25 - 13"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 31×25=775, then 49+775-13=811.\n</reasoning>\nFinal Answer: 811"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 8/7 - 16/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/7 - 16/12. LCD = 21. Result = -4/21.\n</reasoning>\nFinal Answer: -4/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -399 × -834"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -399 by -834: -399 × -834 = 332766.\n</reasoning>\nFinal Answer: 332766"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 399 + -236"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 399 and -236: 399 + -236 = 163.\n</reasoning>\nFinal Answer: 163"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 140 + 167"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 140 and 167: 140 + 167 = 307.\n</reasoning>\nFinal Answer: 307"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 10 and height 74."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 10 × 74 = 740.\n</reasoning>\nFinal Answer: 740"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 950 + -67"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 950 and -67: 950 + -67 = 883.\n</reasoning>\nFinal Answer: 883"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 8, 9, 15, 18] and B = [3, 4, 8, 9, 10, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 2, 15, 18].\n</reasoning>\nFinal Answer: [1, 2, 15, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "123 is what percentage of 740?"
},
{
"role": "assistant",
"content": "<reasoning>\n(123/740) × 100 = 16.6216%.\n</reasoning>\nFinal Answer: 16.6216%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 12 = 42"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 1x = 30. Divide by 1: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [24, 89, 2, 80, 45, 20, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 295/7 = 42.1429.\n</reasoning>\nFinal Answer: 42.1429"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 17 and common difference 16, find the 42th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 17 + (42-1)×16 = 17 + 656 = 673.\n</reasoning>\nFinal Answer: 673"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 11, 14, 17, 18] and B = [7, 12, 13, 15], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [3, 4, 11, 14, 17, 18].\n</reasoning>\nFinal Answer: [3, 4, 11, 14, 17, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 50 = 1106"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 22x = 1056. Divide by 22: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 852 km apart. Their speeds are 112 km/h and 112 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 112+112=224 km/h. Time = 852/224 = 3.8036 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 19/12 + 2/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/12 + 2/7. Common denominator = 84. Result = 157/84.\n</reasoning>\nFinal Answer: 157/84"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 37 and height 75."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 37 × 75 = 1387.5.\n</reasoning>\nFinal Answer: 1387.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 21 - 126"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 126 from 21: 21 - 126 = -105.\n</reasoning>\nFinal Answer: -105"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 13 = -167"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 20x = -180. Divide by 20: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 7/13 / 3/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/13) ÷ (3/14) = (7/13) × (14/3) = 98/39.\n</reasoning>\nFinal Answer: 98/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 3/13 - 18/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/13 - 18/4. LCD = 26. Result = -111/26.\n</reasoning>\nFinal Answer: -111/26"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 430 km apart. Their speeds are 92 km/h and 113 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 92+113=205 km/h. Time = 430/205 = 2.0976 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 2/10 * 15/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/10) × (15/18) = (30/180) = 1/6 after simplification.\n</reasoning>\nFinal Answer: 1/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 + 1 ** 2 - 16"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 1²=1, then 7+1-16=-8.\n</reasoning>\nFinal Answer: -8"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 15, 19, and 33."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 15 + 19 + 33 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -13 = 351"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 14x = 364. Divide by 14: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 195 mod -940"
},
{
"role": "assistant",
"content": "<reasoning>\n195 mod -940: 195 = -940 × -1 + -745, so remainder = -745.\n</reasoning>\nFinal Answer: -745"
}
] | medium | [
"arithmetic",
"computation"
] |
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