messages listlengths 2 2 | difficulty stringclasses 3 values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Two trains start towards each other from stations 510 km apart. Their speeds are 40 km/h and 54 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 40+54=94 km/h. Time = 510/94 = 5.4255 hours.\n</reasoning>\nFinal Answer: ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 7 and common difference 6, find the 10th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 7 + (10-1)×6 = 7 + 54 = 61.\n</reasoning>\nFinal Answer: 61"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -46 = -238"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 8x = -192. Divide by 8: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 592 - -291"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -291 from 592: 592 - -291 = 883.\n</reasoning>\nFinal Answer: 883"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [5, 7, 13, 15, 19] and B = [8, 9, 11], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [5, 7, 8, 9, 11, 13, 15, 19].\n</reasoning>\nFinal Answer: [5, 7, 8, 9, 11, 13, 15, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 38 = 758"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 30x = 720. Divide by 30: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-40)x + (80) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -40² - 4×5×80 = 0. √discriminant = 0. x = (-(-40) ± 0) / (2×5). Solutions: x = 4 (double root).\n</reasoning>\nFinal Answer: x = 4 (double root... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:10 and A = 2, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/10, so B = A × (10/35) = 2 × 10/35 = 0.5714.\n</reasoning>\nFinal Answer: 0.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -41 mod -308"
},
{
"role": "assistant",
"content": "<reasoning>\n-41 mod -308: -41 = -308 × 0 + -41, so remainder = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 100 - 763"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 763 from 100: 100 - 763 = -663.\n</reasoning>\nFinal Answer: -663"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 88 and height 69."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 88 × 69 = 3036.0.\n</reasoning>\nFinal Answer: 3036.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 13/11 - 3/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/11 - 3/14. LCD = 154. Result = 149/154.\n</reasoning>\nFinal Answer: 149/154"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -33 = 83"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 4x = 116. Divide by 4: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 24 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 24 × 37 = 888.\n</reasoning>\nFinal Answer: 888"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 * 5 + 50 * 15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 6×5=30 and 50×15=750, then add: 780.\n</reasoning>\nFinal Answer: 780"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 40, 40 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (40+40) × 13 = 520.0.\n</reasoning>\nFinal Answer: 520.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 50 and 52."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(50,52) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 61 and width 20."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 61 × 20 = 1220.\n</reasoning>\nFinal Answer: 1220"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 19 and height 65."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 19 × 65 = 617.5.\n</reasoning>\nFinal Answer: 617.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [2, 26, 91, 48, 81, 4, 23, 29, 50, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 4, 23, 26, 29, 48, 50, 81, 91, 99]. Middle value(s) → median = 38.5.\n</reasoning>\nFinal Answer: 38.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Decrease 62 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 62 × (1 - 3/100) = 62 × 0.97 = 60.14.\n</reasoning>\nFinal Answer: 60.14"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -23 = 285"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 11x = 308. Divide by 11: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 481 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 481 × (1 - 40/100) = 481 × 0.6 = 288.6.\n</reasoning>\nFinal Answer: 288.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 7 and common difference 5, find the 30th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 7 + (30-1)×5 = 7 + 145 = 152.\n</reasoning>\nFinal Answer: 152"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 42 and width 66."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(42+66) = 2×108 = 216.\n</reasoning>\nFinal Answer: 216"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 873 km apart. Their speeds are 90 km/h and 48 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 90+48=138 km/h. Time = 873/138 = 6.3261 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹16272 at 15% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 16272 × 15 × 3 / 100 = 7322.4.\n</reasoning>\nFinal Answer: 7322.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -246 ÷ 529"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -246 by 529. -246 ÷ 529 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:28 and A = 62, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/28, so B = A × (28/25) = 62 × 28/25 = 69.44.\n</reasoning>\nFinal Answer: 69.44"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -437 + 829"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -437 and 829: -437 + 829 = 392.\n</reasoning>\nFinal Answer: 392"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 860 × -723"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 860 by -723: 860 × -723 = -621780.\n</reasoning>\nFinal Answer: -621780"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 5 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 5 = 85 worker-days. New time = 85 / 2 = 42.5 days.\n</reasoning>\nFinal Answer: 42.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 8, 13, and 17."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 8 + 13 + 17 = 38.\n</reasoning>\nFinal Answer: 38"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "20 workers can complete a job in 24 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 20 × 24 = 480 worker-days. New time = 480 / 15 = 32.0 days.\n</reasoning>\nFinal Answer: 32.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 84 km/h. How far does it travel in 12 hours and 34 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 34/60 = 12.5667 hours. Distance = speed × time = 84 × 12.5667 = 1055.6 km.\n</reasoning>\nFinal Answer: 1055.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (24)x + (36) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 24² - 4×3×36 = 144. √discriminant = 12. x = (-(24) ± 12) / (2×3). Solutions: x = -2 or x = -6.\n</reasoning>\nFinal Answer: x = -2 or x = -6"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "An item costs ₹4461. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4461 × 12/100 = 535.32. Total = 4461 + 535.32 = 4996.32.\n</reasoning>\nFinal Answer: 4996.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [44, 79, 90, 83, 9, 72, 17, 62, 17]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 90 - 9 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [20, 29, 38, 47, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 20 and common difference 9. Next term = 56 + 9 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 513 km apart. Their speeds are 104 km/h and 63 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 104+63=167 km/h. Time = 513/167 = 3.0719 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -764 + 499"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -764 and 499: -764 + 499 = -265.\n</reasoning>\nFinal Answer: -265"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 856 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 856 × (1 + 45/100) = 856 × 1.45 = 1241.2.\n</reasoning>\nFinal Answer: 1241.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 184 × -190"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 184 by -190: 184 × -190 = -34960.\n</reasoning>\nFinal Answer: -34960"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹36253 at 8% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 36253 × 8 × 6 / 100 = 17401.44.\n</reasoning>\nFinal Answer: 17401.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [43, 4, 88, 98, 7, 68, 32, 87, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {43: 1, 4: 1, 88: 1, 98: 1, 7: 1, 68: 1, 32: 1, 87: 1, 13: 1}. Most frequent: [43, 4, 88, 98, 7, 68, 32, 87, 13].\n</reasoning>\nFinal Answer:... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mean of: [77, 64, 24, 7, 85, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 299/6 = 49.8333.\n</reasoning>\nFinal Answer: 49.8333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 5/6 * 7/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/6) × (7/20) = (35/120) = 7/24 after simplification.\n</reasoning>\nFinal Answer: 7/24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -823 mod 250"
},
{
"role": "assistant",
"content": "<reasoning>\n-823 mod 250: -823 = 250 × -4 + 177, so remainder = 177.\n</reasoning>\nFinal Answer: 177"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -35 = -155"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 30x = -120. Divide by 30: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 507 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 507 × (1 + 65/100) = 507 × 1.65 = 836.55.\n</reasoning>\nFinal Answer: 836.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 8 apples and buys 97 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 8 + 97 = 105.\n</reasoning>\nFinal Answer: 105"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-36)x + (81) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -36² - 4×3×81 = 324. √discriminant = 18. x = (-(-36) ± 18) / (2×3). Solutions: x = 3 or x = 9.\n</reasoning>\nFinal Answer: x = 3 or x = 9"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 1/16 / 5/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/16) ÷ (5/3) = (1/16) × (3/5) = 3/80.\n</reasoning>\nFinal Answer: 3/80"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 362 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 362 × (1 - 100/100) = 362 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 36 = -144"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 10x = -180. Divide by 10: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 9, 10, and 11."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 9 + 10 + 11 = 30.\n</reasoning>\nFinal Answer: 30"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹37857 at 3% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 37857 × 3 × 10 / 100 = 11357.1.\n</reasoning>\nFinal Answer: 11357.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -13 = -988"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 25x = -975. Divide by 25: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 1 = -57"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 29x = -58. Divide by 29: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 15, 21, and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 15 + 21 + 35 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:37 and A = 76, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/37, so B = A × (37/8) = 76 × 37/8 = 351.5.\n</reasoning>\nFinal Answer: 351.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -10 = 199"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 11x = 209. Divide by 11: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [5, 6, 13, 16, 18] and B = [5, 8, 9], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [5].\n</reasoning>\nFinal Answer: [5]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Ravi has 85 apples and buys 183 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 85 + 183 = 268.\n</reasoning>\nFinal Answer: 268"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 200 apples and buys 38 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 200 + 38 = 238.\n</reasoning>\nFinal Answer: 238"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹4533. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4533 × 28/100 = 1269.24. Total = 4533 + 1269.24 = 5802.24.\n</reasoning>\nFinal Answer: 5802.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 65 km/h. How far does it travel in 2 hours and 52 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 52/60 = 2.8667 hours. Distance = speed × time = 65 × 2.8667 = 186.3333 km.\n</reasoning>\nFinal Answer: 186.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 344."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 344 by smallest primes repeatedly: 344 = 2 × 2 × 2 × 43.\n</reasoning>\nFinal Answer: 2 × 2 × 2 × 43"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Simplify: 11/18 * 20/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/18) × (20/17) = (220/306) = 110/153 after simplification.\n</reasoning>\nFinal Answer: 110/153"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -42 + -294"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -42 and -294: -42 + -294 = -336.\n</reasoning>\nFinal Answer: -336"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 68 km/h. How far does it travel in 11 hours and 55 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 55/60 = 11.9167 hours. Distance = speed × time = 68 × 11.9167 = 810.3333 km.\n</reasoning>\nFinal Answer: 810.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 857 + -322"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 857 and -322: 857 + -322 = 535.\n</reasoning>\nFinal Answer: 535"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 121."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 121 by smallest primes repeatedly: 121 = 11 × 11.\n</reasoning>\nFinal Answer: 11 × 11"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹2577 at 17% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 2577 × 17 × 5 / 100 = 2190.45.\n</reasoning>\nFinal Answer: 2190.45"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 * 48 + 43 * 22"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 50×48=2400 and 43×22=946, then add: 3346.\n</reasoning>\nFinal Answer: 3346"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 + 32 * 9 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 32×9=288, then 4+288-33=259.\n</reasoning>\nFinal Answer: 259"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 129 and 61."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(129,61) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 10/11 * 13/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/11) × (13/6) = (130/66) = 65/33 after simplification.\n</reasoning>\nFinal Answer: 65/33"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 198 km/h. How far does it travel in 11 hours and 21 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 21/60 = 11.3500 hours. Distance = speed × time = 198 × 11.3500 = 2247.3 km.\n</reasoning>\nFinal Answer: 2247.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 65 and width 82."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 65 × 82 = 5330.\n</reasoning>\nFinal Answer: 5330"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [46, 86, 15, 86, 99, 34]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [15, 34, 46, 86, 86, 99]. Middle value(s) → median = 66.0.\n</reasoning>\nFinal Answer: 66.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 977 - -87"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -87 from 977: 977 - -87 = 1064.\n</reasoning>\nFinal Answer: 1064"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 287 mod -655"
},
{
"role": "assistant",
"content": "<reasoning>\n287 mod -655: 287 = -655 × -1 + -368, so remainder = -368.\n</reasoning>\nFinal Answer: -368"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -934 + 846"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -934 and 846: -934 + 846 = -88.\n</reasoning>\nFinal Answer: -88"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [87, 43, 31, 16, 55, 3, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 266/7 = 38.0.\n</reasoning>\nFinal Answer: 38.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 38, 46 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (38+46) × 11 = 462.0.\n</reasoning>\nFinal Answer: 462.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 19 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 19 = 133 worker-days. New time = 133 / 18 = 7.3889 days.\n</reasoning>\nFinal Answer: 7.3889"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 39 * 31 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 39×31=1209, then 17+1209-12=1214.\n</reasoning>\nFinal Answer: 1214"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 18 = -63"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 27x = -81. Divide by 27: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (21 + 22) * (19 - 20)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (21+22)=43, (19-20)=-1, then 43×-1=-43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 60 and width 17."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(60+17) = 2×77 = 154.\n</reasoning>\nFinal Answer: 154"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 45 * 5 - 30"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 45×5=225, then 18+225-30=213.\n</reasoning>\nFinal Answer: 213"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 6 and height 41."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 6 × 41 = 123.0.\n</reasoning>\nFinal Answer: 123.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 6, 11, 17, 18] and B = [2, 7, 10, 11, 15], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [2, 11].\n</reasoning>\nFinal Answer: [2, 11]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 118 - 733"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 733 from 118: 118 - 733 = -615.\n</reasoning>\nFinal Answer: -615"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "List all positive factors of 30."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 30: factors are [1, 2, 3, 5, 6, 10, 15, 30].\n</reasoning>\nFinal Answer: [1, 2, 3, 5, 6, 10, 15, 30]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 + 20 * 44 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 20×44=880, then 7+880-26=861.\n</reasoning>\nFinal Answer: 861"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 13/20 * 4/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/20) × (4/3) = (52/60) = 13/15 after simplification.\n</reasoning>\nFinal Answer: 13/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 10 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 10 = 110 worker-days. New time = 110 / 7 = 15.7143 days.\n</reasoning>\nFinal Answer: 15.7143"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 35% of 417?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 417 = (35/100) × 417 = 145.95.\n</reasoning>\nFinal Answer: 145.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
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