messages listlengths 2 2 | difficulty stringclasses 3 values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Decrease 61 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 61 × (1 - 80/100) = 61 × 0.19999999999999996 = 12.2.\n</reasoning>\nFinal Answer: 12.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 4/19 - 12/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/19 - 12/15. LCD = 95. Result = -56/95.\n</reasoning>\nFinal Answer: -56/95"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 63 and width 44."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(63+44) = 2×107 = 214.\n</reasoning>\nFinal Answer: 214"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Ravi has 35 apples and buys 148 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 35 + 148 = 183.\n</reasoning>\nFinal Answer: 183"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 24, 33 and height 34."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (24+33) × 34 = 969.0.\n</reasoning>\nFinal Answer: 969.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 90 and width 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 90 × 33 = 2970.\n</reasoning>\nFinal Answer: 2970"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 21 * 38 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 21×38=798, then 44+798-31=811.\n</reasoning>\nFinal Answer: 811"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹27829 at 4% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 27829 × 4 × 10 / 100 = 11131.6.\n</reasoning>\nFinal Answer: 11131.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:13 and A = 1, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/13, so B = A × (13/31) = 1 × 13/31 = 0.4194.\n</reasoning>\nFinal Answer: 0.4194"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 534 mod -352"
},
{
"role": "assistant",
"content": "<reasoning>\n534 mod -352: 534 = -352 × -2 + -170, so remainder = -170.\n</reasoning>\nFinal Answer: -170"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 58 apples and buys 137 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 58 + 137 = 195.\n</reasoning>\nFinal Answer: 195"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 15/5 + 9/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/5 + 9/1. Common denominator = 1. Result = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 44 ** 2 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 44²=1936, then 42+1936-6=1972.\n</reasoning>\nFinal Answer: 1972"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:13 and A = 94, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/13, so B = A × (13/12) = 94 × 13/12 = 101.8333.\n</reasoning>\nFinal Answer: 101.8333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 1/14 - 5/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/14 - 5/12. LCD = 84. Result = -29/84.\n</reasoning>\nFinal Answer: -29/84"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 39 and common difference 4, find the 47th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 39 + (47-1)×4 = 39 + 184 = 223.\n</reasoning>\nFinal Answer: 223"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:33 and A = 48, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/33, so B = A × (33/20) = 48 × 33/20 = 79.2.\n</reasoning>\nFinal Answer: 79.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 20 = -800"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 20x = -820. Divide by 20: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 315 km apart. Their speeds are 53 km/h and 118 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 53+118=171 km/h. Time = 315/171 = 1.8421 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 6 = 937"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 19x = 931. Divide by 19: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 636 mod -554"
},
{
"role": "assistant",
"content": "<reasoning>\n636 mod -554: 636 = -554 × -2 + -472, so remainder = -472.\n</reasoning>\nFinal Answer: -472"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 189 apples and buys 82 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 189 + 82 = 271.\n</reasoning>\nFinal Answer: 271"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 36, 24 and height 14."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (36+24) × 14 = 420.0.\n</reasoning>\nFinal Answer: 420.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A bag has 6 red and 3 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 3/9 = 0.3333.\n</reasoning>\nFinal Answer: 0.3333"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "What is 100% of 56?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 56 = (100/100) × 56 = 56.0.\n</reasoning>\nFinal Answer: 56.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -20 = -42"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 11x = -22. Divide by 11: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 28 * 15 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 28×15=420, then 40+420-41=419.\n</reasoning>\nFinal Answer: 419"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -16 = -568"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 24x = -552. Divide by 24: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 45% of 688?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 688 = (45/100) × 688 = 309.6.\n</reasoning>\nFinal Answer: 309.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 5, 8, 10, 11, 12] and B = [5, 8, 11, 14], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 3, 10, 12, 14].\n</reasoning>\nFinal Answer: [1, 3... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 33 and 16."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(33,16) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 38 = 1268"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 30x = 1230. Divide by 30: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 6/15 - 3/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/15 - 3/8. LCD = 40. Result = 1/40.\n</reasoning>\nFinal Answer: 1/40"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [80, 64, 38, 50, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 263/5 = 52.6.\n</reasoning>\nFinal Answer: 52.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -12 = 948"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 24x = 960. Divide by 24: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -62 × -197"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -62 by -197: -62 × -197 = 12214.\n</reasoning>\nFinal Answer: 12214"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 24 apples and buys 75 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 24 + 75 = 99.\n</reasoning>\nFinal Answer: 99"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 2 = -403"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 27x = -405. Divide by 27: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [22, 70, 57, 19, 99, 65, 69, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 490/8 = 61.25.\n</reasoning>\nFinal Answer: 61.25"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 * 26 + 49 * 45"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 31×26=806 and 49×45=2205, then add: 3011.\n</reasoning>\nFinal Answer: 3011"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (27 + 23) * (20 - 45)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (27+23)=50, (20-45)=-25, then 50×-25=-1250.\n</reasoning>\nFinal Answer: -1250"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [29, 13, 34, 96, 10, 94, 75, 87, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 498/9 = 55.3333.\n</reasoning>\nFinal Answer: 55.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the range of: [33, 42, 30, 3, 13, 68, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 68 - 3 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:12 and A = 76, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/12, so B = A × (12/3) = 76 × 12/3 = 304.0.\n</reasoning>\nFinal Answer: 304.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 454 - -978"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -978 from 454: 454 - -978 = 1432.\n</reasoning>\nFinal Answer: 1432"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 294."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 294 by smallest primes repeatedly: 294 = 2 × 3 × 7 × 7.\n</reasoning>\nFinal Answer: 2 × 3 × 7 × 7"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: 296 mod 553"
},
{
"role": "assistant",
"content": "<reasoning>\n296 mod 553: 296 = 553 × 0 + 296, so remainder = 296.\n</reasoning>\nFinal Answer: 296"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [45, 20, 6, 43, 57, 90, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 348/7 = 49.7143.\n</reasoning>\nFinal Answer: 49.7143"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 1/12 - 2/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/12 - 2/10. LCD = 60. Result = -7/60.\n</reasoning>\nFinal Answer: -7/60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 20/20 + 2/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/20 + 2/7. Common denominator = 7. Result = 9/7.\n</reasoning>\nFinal Answer: 9/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 28 = 608"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 20x = 580. Divide by 20: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 50 = 427"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 13x = 377. Divide by 13: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 100 and height 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 100 × 33 = 1650.0.\n</reasoning>\nFinal Answer: 1650.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 1/18 - 10/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/18 - 10/10. LCD = 18. Result = -17/18.\n</reasoning>\nFinal Answer: -17/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 344 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 344 × (1 - 60/100) = 344 × 0.4 = 137.6.\n</reasoning>\nFinal Answer: 137.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "4 workers can complete a job in 8 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 4 × 8 = 32 worker-days. New time = 32 / 10 = 3.2 days.\n</reasoning>\nFinal Answer: 3.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 751 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 751 × (1 - 40/100) = 751 × 0.6 = 450.6.\n</reasoning>\nFinal Answer: 450.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 792 km apart. Their speeds are 94 km/h and 40 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 94+40=134 km/h. Time = 792/134 = 5.9104 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -856 × -882"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -856 by -882: -856 × -882 = 754992.\n</reasoning>\nFinal Answer: 754992"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 718 × 535"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 718 by 535: 718 × 535 = 384130.\n</reasoning>\nFinal Answer: 384130"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/15 + 18/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/15 + 18/3. Common denominator = 15. Result = 97/15.\n</reasoning>\nFinal Answer: 97/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 * 36 + 21 * 45"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 37×36=1332 and 21×45=945, then add: 2277.\n</reasoning>\nFinal Answer: 2277"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:35 and A = 61, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/35, so B = A × (35/8) = 61 × 35/8 = 266.875.\n</reasoning>\nFinal Answer: 266.875"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [1, 6, 15, 19] and B = [9, 11, 14], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [].\n</reasoning>\nFinal Answer: []"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 11/5 * 17/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/5) × (17/12) = (187/60) = 187/60 after simplification.\n</reasoning>\nFinal Answer: 187/60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 14, 40 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (14+40) × 11 = 297.0.\n</reasoning>\nFinal Answer: 297.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 9 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 9 × 5 = 22.5.\n</reasoning>\nFinal Answer: 22.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:15 and A = 78, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/15, so B = A × (15/40) = 78 × 15/40 = 29.25.\n</reasoning>\nFinal Answer: 29.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 1/4 * 11/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/4) × (11/13) = (11/52) = 11/52 after simplification.\n</reasoning>\nFinal Answer: 11/52"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (4)x + (-360) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 4² - 4×4×-360 = 5776. √discriminant = 76. x = (-(4) ± 76) / (2×4). Solutions: x = 9 or x = -10.\n</reasoning>\nFinal Answer: x = 9 or x = -10"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 433 + 843"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 433 and 843: 433 + 843 = 1276.\n</reasoning>\nFinal Answer: 1276"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 10/9 * 1/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/9) × (1/6) = (10/54) = 5/27 after simplification.\n</reasoning>\nFinal Answer: 5/27"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 801 km apart. Their speeds are 77 km/h and 70 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 77+70=147 km/h. Time = 801/147 = 5.449 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [98, 42, 96, 86, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 42 = 56.\n</reasoning>\nFinal Answer: 56"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 670 mod -639"
},
{
"role": "assistant",
"content": "<reasoning>\n670 mod -639: 670 = -639 × -2 + -608, so remainder = -608.\n</reasoning>\nFinal Answer: -608"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/19 * 14/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/19) × (14/11) = (210/209) = 210/209 after simplification.\n</reasoning>\nFinal Answer: 210/209"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹1368. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1368 × 12/100 = 164.16. Total = 1368 + 164.16 = 1532.16.\n</reasoning>\nFinal Answer: 1532.16"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -270 + -950"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -270 and -950: -270 + -950 = -1220.\n</reasoning>\nFinal Answer: -1220"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [10, 18, 22, 55, 5, 96, 1, 60, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 1 = 95.\n</reasoning>\nFinal Answer: 95"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 39 = -486"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 25x = -525. Divide by 25: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 444 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 444 × (1 + 10/100) = 444 × 1.1 = 488.4.\n</reasoning>\nFinal Answer: 488.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 105 km/h. How far does it travel in 5 hours and 14 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 14/60 = 5.2333 hours. Distance = speed × time = 105 × 5.2333 = 549.5 km.\n</reasoning>\nFinal Answer: 549.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "44 is what percentage of 108?"
},
{
"role": "assistant",
"content": "<reasoning>\n(44/108) × 100 = 40.7407%.\n</reasoning>\nFinal Answer: 40.7407%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:12 and A = 45, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/12, so B = A × (12/23) = 45 × 12/23 = 23.4783.\n</reasoning>\nFinal Answer: 23.4783"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 132 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 132 × (1 + 70/100) = 132 × 1.7 = 224.4.\n</reasoning>\nFinal Answer: 224.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 573 ÷ 326"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 573 by 326. 573 ÷ 326 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 55 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 55 × (1 + 100/100) = 55 × 2.0 = 110.0.\n</reasoning>\nFinal Answer: 110.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 11, 14] and B = [2, 9, 10, 12, 13, 17, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 9, 10, 11, 12, 13, 14, 17, 18].\n</reasoning>\nFinal Answer: [1, 2, 9, 10, 11... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mode of: [99, 44, 5, 28, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {99: 1, 44: 1, 5: 1, 28: 1, 13: 1}. Most frequent: [99, 44, 5, 28, 13].\n</reasoning>\nFinal Answer: [99, 44, 5, 28, 13]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mode of: [69, 71, 37, 65, 80, 3, 4, 57, 96, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {69: 1, 71: 1, 37: 1, 65: 1, 80: 1, 3: 1, 4: 1, 57: 1, 96: 1, 53: 1}. Most frequent: [69, 71, 37, 65, 80, 3, 4, 57, 96, 53].\n</reasoning>... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 493 × -533"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 493 by -533: 493 × -533 = -262769.\n</reasoning>\nFinal Answer: -262769"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 7, 50 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (7+50) × 37 = 1054.5.\n</reasoning>\nFinal Answer: 1054.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 16/1 * 18/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/1) × (18/4) = (288/4) = 72 after simplification.\n</reasoning>\nFinal Answer: 72"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 42 ** 2 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 42²=1764, then 11+1764-31=1744.\n</reasoning>\nFinal Answer: 1744"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 7/8 / 12/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/8) ÷ (12/13) = (7/8) × (13/12) = 91/96.\n</reasoning>\nFinal Answer: 91/96"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:15 and A = 92, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/15, so B = A × (15/21) = 92 × 15/21 = 65.7143.\n</reasoning>\nFinal Answer: 65.7143"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [40, 50, 70, 70, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {40: 1, 50: 1, 70: 2, 93: 1}. Most frequent: 70.\n</reasoning>\nFinal Answer: 70"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "An item costs ₹3953. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3953 × 18/100 = 711.54. Total = 3953 + 711.54 = 4664.54.\n</reasoning>\nFinal Answer: 4664.54"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 670 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 670 × (1 - 17/100) = 670 × 0.83 = 556.1.\n</reasoning>\nFinal Answer: 556.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 54 and height 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 54 × 44 = 1188.0.\n</reasoning>\nFinal Answer: 1188.0"
}
] | easy | [
"geometry",
"area"
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.