messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Given A = [3, 7, 8, 12, 14, 16, 19] and B = [3, 10, 12, 13, 14, 16, 18, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [7, 8, 10, 13, 18].\n</reasoning>\nF... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -4 = 106"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 10x = 110. Divide by 10: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:33 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/33, so B = A × (33/7) = 75 × 33/7 = 353.5714.\n</reasoning>\nFinal Answer: 353.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 36 = 456"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 12x = 420. Divide by 12: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 65 and 91."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(65,91) = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (19 + 40) * (2 - 44)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (19+40)=59, (2-44)=-42, then 59×-42=-2478.\n</reasoning>\nFinal Answer: -2478"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [67, 50, 70, 86, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 86 - 50 = 36.\n</reasoning>\nFinal Answer: 36"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 8/4 * 6/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/4) × (6/17) = (48/68) = 12/17 after simplification.\n</reasoning>\nFinal Answer: 12/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [95, 57, 60, 92, 54, 79, 33, 5, 13, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 5 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 39 = 499"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 20x = 460. Divide by 20: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 8 and common difference 10, find the 25th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 8 + (25-1)×10 = 8 + 240 = 248.\n</reasoning>\nFinal Answer: 248"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 906 × -371"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 906 by -371: 906 × -371 = -336126.\n</reasoning>\nFinal Answer: -336126"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -680 mod -10"
},
{
"role": "assistant",
"content": "<reasoning>\n-680 mod -10: -680 = -10 × 68 + 0, so remainder = 0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 25 and common difference 4, find the 30th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 25 + (30-1)×4 = 25 + 116 = 141.\n</reasoning>\nFinal Answer: 141"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -34 = 560"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 18x = 594. Divide by 18: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:36 and A = 95, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/36, so B = A × (36/17) = 95 × 36/17 = 201.1765.\n</reasoning>\nFinal Answer: 201.1765"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 17/15 + 10/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/15 + 10/13. Common denominator = 195. Result = 371/195.\n</reasoning>\nFinal Answer: 371/195"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the square root of 64."
},
{
"role": "assistant",
"content": "<reasoning>\n√64 = 8 because 8² = 64.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"roots",
"exponents"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 244."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 244 by smallest primes repeatedly: 244 = 2 × 2 × 61.\n</reasoning>\nFinal Answer: 2 × 2 × 61"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "51 is what percentage of 541?"
},
{
"role": "assistant",
"content": "<reasoning>\n(51/541) × 100 = 9.427%.\n</reasoning>\nFinal Answer: 9.427%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Given A = [4, 7, 14, 16, 18] and B = [2, 5, 6, 9, 11, 15, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 7, 14, 16].\n</reasoning>\nFinal Answer: [4, 7, 14, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:8 and A = 21, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/8, so B = A × (8/4) = 21 × 8/4 = 42.0.\n</reasoning>\nFinal Answer: 42.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 86 and height 76."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 86 × 76 = 6536.\n</reasoning>\nFinal Answer: 6536"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Is 197 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n197 has no divisors other than 1 and itself, so it is prime.\n</reasoning>\nFinal Answer: Yes"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Calculate: -360 × -288"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -360 by -288: -360 × -288 = 103680.\n</reasoning>\nFinal Answer: 103680"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/4 * 15/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/4) × (15/10) = (105/40) = 21/8 after simplification.\n</reasoning>\nFinal Answer: 21/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 20/2 / 6/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/2) ÷ (6/3) = (20/2) × (3/6) = 5.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [51, 19, 86, 3, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 5, 19, 51, 86]. Middle value(s) → median = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 10/6 - 19/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/6 - 19/18. LCD = 18. Result = 11/18.\n</reasoning>\nFinal Answer: 11/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [73, 33, 23, 1, 64, 24, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 230/7 = 32.8571.\n</reasoning>\nFinal Answer: 32.8571"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 + 10 * 18 - 30"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 10×18=180, then 24+180-30=174.\n</reasoning>\nFinal Answer: 174"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 9/13 - 8/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/13 - 8/8. LCD = 13. Result = -4/13.\n</reasoning>\nFinal Answer: -4/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -771 ÷ 291"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -771 by 291. -771 ÷ 291 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 216 km apart. Their speeds are 108 km/h and 56 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 108+56=164 km/h. Time = 216/164 = 1.3171 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹5684 at 4% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 5684 × 4 × 4 / 100 = 909.44.\n</reasoning>\nFinal Answer: 909.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 14/10 - 18/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/10 - 18/9. LCD = 5. Result = -3/5.\n</reasoning>\nFinal Answer: -3/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹2352. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2352 × 12/100 = 282.24. Total = 2352 + 282.24 = 2634.24.\n</reasoning>\nFinal Answer: 2634.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:46 and A = 2, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/46, so B = A × (46/32) = 2 × 46/32 = 2.875.\n</reasoning>\nFinal Answer: 2.875"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 27 = 307"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 14x = 280. Divide by 14: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 19 ** 2 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 19²=361, then 9+361-45=325.\n</reasoning>\nFinal Answer: 325"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 3 and width 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 3 × 13 = 39.\n</reasoning>\nFinal Answer: 39"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 3, 7 and height 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (3+7) × 10 = 50.0.\n</reasoning>\nFinal Answer: 50.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 61 and width 50."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(61+50) = 2×111 = 222.\n</reasoning>\nFinal Answer: 222"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 69 and height 98."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 69 × 98 = 6762.\n</reasoning>\nFinal Answer: 6762"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 20/20 + 20/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/20 + 20/4. Common denominator = 1. Result = 6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [67, 94, 39, 37, 83, 9, 48, 48, 34]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {67: 1, 94: 1, 39: 1, 37: 1, 83: 1, 9: 1, 48: 2, 34: 1}. Most frequent: 48.\n</reasoning>\nFinal Answer: 48"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -663 - 71"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 71 from -663: -663 - 71 = -734.\n</reasoning>\nFinal Answer: -734"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 * 43 + 13 * 8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 10×43=430 and 13×8=104, then add: 534.\n</reasoning>\nFinal Answer: 534"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 988 km apart. Their speeds are 71 km/h and 76 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 71+76=147 km/h. Time = 988/147 = 6.7211 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -31 ÷ 693"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -31 by 693. -31 ÷ 693 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -784 × 768"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -784 by 768: -784 × 768 = -602112.\n</reasoning>\nFinal Answer: -602112"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (4 + 44) * (38 - 40)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (4+44)=48, (38-40)=-2, then 48×-2=-96.\n</reasoning>\nFinal Answer: -96"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 18/7 - 9/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/7 - 9/18. LCD = 14. Result = 29/14.\n</reasoning>\nFinal Answer: 29/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹22773 at 8% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 22773 × 8 × 1 / 100 = 1821.84.\n</reasoning>\nFinal Answer: 1821.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 3 and common difference 8, find the 16th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 3 + (16-1)×8 = 3 + 120 = 123.\n</reasoning>\nFinal Answer: 123"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the median of: [93, 2, 17, 93, 68, 59, 50, 48, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 17, 48, 50, 59, 68, 78, 93, 93]. Middle value(s) → median = 59.\n</reasoning>\nFinal Answer: 59"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Decrease 402 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 402 × (1 - 17/100) = 402 × 0.83 = 333.66.\n</reasoning>\nFinal Answer: 333.66"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [5, 7, 8, 14, 16, 17, 18, 19] and B = [1, 3, 8, 9, 11, 16, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 3, 5, 7, 9, 11, 14, 18, 19].\n</rea... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mean of: [75, 21, 74, 33, 69, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 355/6 = 59.1667.\n</reasoning>\nFinal Answer: 59.1667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (47 + 25) * (9 - 44)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (47+25)=72, (9-44)=-35, then 72×-35=-2520.\n</reasoning>\nFinal Answer: -2520"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -22 = 1106"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 24x = 1128. Divide by 24: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 437 ÷ 665"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 437 by 665. 437 ÷ 665 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [41, 95, 76, 85, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {41: 1, 95: 1, 76: 1, 85: 1, 65: 1}. Most frequent: [41, 95, 76, 85, 65].\n</reasoning>\nFinal Answer: [41, 95, 76, 85, 65]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the range of: [5, 30, 91, 85, 1, 52, 42, 36, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 1 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "An item costs ₹3105. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3105 × 5/100 = 155.25. Total = 3105 + 155.25 = 3260.25.\n</reasoning>\nFinal Answer: 3260.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:31 and A = 45, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/31, so B = A × (31/45) = 45 × 31/45 = 31.0.\n</reasoning>\nFinal Answer: 31.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "List all positive factors of 58."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 58: factors are [1, 2, 29, 58].\n</reasoning>\nFinal Answer: [1, 2, 29, 58]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:13 and A = 73, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/13, so B = A × (13/5) = 73 × 13/5 = 189.8.\n</reasoning>\nFinal Answer: 189.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 16/15 - 2/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/15 - 2/15. LCD = 15. Result = 14/15.\n</reasoning>\nFinal Answer: 14/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹1088. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1088 × 28/100 = 304.64. Total = 1088 + 304.64 = 1392.64.\n</reasoning>\nFinal Answer: 1392.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹4949 at 4% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 4949 × 4 × 8 / 100 = 1583.68.\n</reasoning>\nFinal Answer: 1583.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [33, 55, 25, 97, 21, 17, 48, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 17 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 21 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 21 = 336 worker-days. New time = 336 / 7 = 48.0 days.\n</reasoning>\nFinal Answer: 48.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "List all positive factors of 55."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 55: factors are [1, 5, 11, 55].\n</reasoning>\nFinal Answer: [1, 5, 11, 55]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [13, 17, 21, 25, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 13 and common difference 4. Next term = 29 + 4 = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Ravi has 196 apples and buys 170 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 196 + 170 = 366.\n</reasoning>\nFinal Answer: 366"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -39 = 141"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 30x = 180. Divide by 30: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 29 and common difference 13, find the 49th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 29 + (49-1)×13 = 29 + 624 = 653.\n</reasoning>\nFinal Answer: 653"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 3, 6, 19] and B = [1, 2, 6, 8, 9, 12, 15], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 6, 8, 9, 12, 15, 19].\n</reasoning>\nFinal Answer: [1, 2, 3, 6, 8, 9, 12, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 18/17 * 18/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/17) × (18/15) = (324/255) = 108/85 after simplification.\n</reasoning>\nFinal Answer: 108/85"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 31 ** 2 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 31²=961, then 18+961-37=942.\n</reasoning>\nFinal Answer: 942"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 19/14 + 12/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/14 + 12/17. Common denominator = 238. Result = 491/238.\n</reasoning>\nFinal Answer: 491/238"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:16 and A = 35, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/16, so B = A × (16/14) = 35 × 16/14 = 40.0.\n</reasoning>\nFinal Answer: 40.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:28 and A = 6, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/28, so B = A × (28/42) = 6 × 28/42 = 4.0.\n</reasoning>\nFinal Answer: 4.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 6/17 - 18/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/17 - 18/4. LCD = 34. Result = -141/34.\n</reasoning>\nFinal Answer: -141/34"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 600 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 20%: 600 × (1 + 20/100) = 600 × 1.2 = 720.0.\n</reasoning>\nFinal Answer: 720.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 46 = -209"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 15x = -255. Divide by 15: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 56 and height 69."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 56 × 69 = 1932.0.\n</reasoning>\nFinal Answer: 1932.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:41 and A = 39, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/41, so B = A × (41/40) = 39 × 41/40 = 39.975.\n</reasoning>\nFinal Answer: 39.975"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 28 and width 97."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 28 × 97 = 2716.\n</reasoning>\nFinal Answer: 2716"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-34)x + (144) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -34² - 4×2×144 = 4. √discriminant = 2. x = (-(-34) ± 2) / (2×2). Solutions: x = 9 or x = 8.\n</reasoning>\nFinal Answer: x = 9 or x = 8"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 249 × 850"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 249 by 850: 249 × 850 = 211650.\n</reasoning>\nFinal Answer: 211650"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 37 and height 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 37 × 26 = 962.\n</reasoning>\nFinal Answer: 962"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [3, 13, 16] and B = [1, 9, 15, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [16].\n</reasoning>\nFinal Answer: [16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [78, 29, 31, 45, 81, 57, 50, 95, 42, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 10 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 1 = 433"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 16x = 432. Divide by 16: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 3, 6, 7, 14, 19] and B = [3, 7, 10, 11, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 6, 7, 10, 11, 14, 19].\n</reasoning>\nFinal Answer: [1, 2, 3, 6, 7, 10, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -147 ÷ -669"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -147 by -669. -147 ÷ -669 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -980 × -239"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -980 by -239: -980 × -239 = 234220.\n</reasoning>\nFinal Answer: 234220"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 3 * 24 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 3×24=72, then 43+72-45=70.\n</reasoning>\nFinal Answer: 70"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
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