messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 9/12 - 7/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/12 - 7/15. LCD = 60. Result = 17/60.\n</reasoning>\nFinal Answer: 17/60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 212 km apart. Their speeds are 120 km/h and 97 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 120+97=217 km/h. Time = 212/217 = 0.977 hours.\n</reasoning>\nFinal Answe... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 19/3 - 2/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/3 - 2/12. LCD = 6. Result = 37/6.\n</reasoning>\nFinal Answer: 37/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -3 × -196"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -3 by -196: -3 × -196 = 588.\n</reasoning>\nFinal Answer: 588"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -802 - 533"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 533 from -802: -802 - 533 = -1335.\n</reasoning>\nFinal Answer: -1335"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 368 - 719"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 719 from 368: 368 - 719 = -351.\n</reasoning>\nFinal Answer: -351"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [76, 46, 80, 29, 38, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 353/6 = 58.8333.\n</reasoning>\nFinal Answer: 58.8333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 16 = -996"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 22x = -1012. Divide by 22: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 174 km/h. How far does it travel in 4 hours and 47 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 47/60 = 4.7833 hours. Distance = speed × time = 174 × 4.7833 = 832.3 km.\n</reasoning>\nFinal Answer: 832.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 10/18 / 8/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/18) ÷ (8/19) = (10/18) × (19/8) = 95/72.\n</reasoning>\nFinal Answer: 95/72"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 14 = -480"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 26x = -494. Divide by 26: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 * 16 + 8 * 42"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 40×16=640 and 8×42=336, then add: 976.\n</reasoning>\nFinal Answer: 976"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (27)x + (60) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 27² - 4×3×60 = 9. √discriminant = 3. x = (-(27) ± 3) / (2×3). Solutions: x = -4 or x = -5.\n</reasoning>\nFinal Answer: x = -4 or x = -5"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Given A = [3, 9, 13, 14] and B = [1, 3, 9, 11], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [3, 9].\n</reasoning>\nFinal Answer: [3, 9]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "A train travels at 144 km/h. How far does it travel in 4 hours and 47 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 47/60 = 4.7833 hours. Distance = speed × time = 144 × 4.7833 = 688.8 km.\n</reasoning>\nFinal Answer: 688.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "72 is what percentage of 317?"
},
{
"role": "assistant",
"content": "<reasoning>\n(72/317) × 100 = 22.7129%.\n</reasoning>\nFinal Answer: 22.7129%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 21 = 161"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 14x = 140. Divide by 14: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 * 48 + 6 * 49"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 15×48=720 and 6×49=294, then add: 1014.\n</reasoning>\nFinal Answer: 1014"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:19 and A = 58, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/19, so B = A × (19/28) = 58 × 19/28 = 39.3571.\n</reasoning>\nFinal Answer: 39.3571"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹17430 at 11% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 17430 × 11 × 7 / 100 = 13421.1.\n</reasoning>\nFinal Answer: 13421.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 53 and height 74."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 53 × 74 = 1961.0.\n</reasoning>\nFinal Answer: 1961.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [92, 35, 20, 66, 19, 41, 54, 84, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 455/9 = 50.5556.\n</reasoning>\nFinal Answer: 50.5556"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -356 + 508"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -356 and 508: -356 + 508 = 152.\n</reasoning>\nFinal Answer: 152"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [18, 31, 44, 57, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 18 and common difference 13. Next term = 70 + 13 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 * 29 + 14 * 47"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 38×29=1102 and 14×47=658, then add: 1760.\n</reasoning>\nFinal Answer: 1760"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [87, 56, 16, 16, 100, 58, 27, 61, 72, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 560/10 = 56.0.\n</reasoning>\nFinal Answer: 56.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 612 - 887"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 887 from 612: 612 - 887 = -275.\n</reasoning>\nFinal Answer: -275"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "141 is what percentage of 726?"
},
{
"role": "assistant",
"content": "<reasoning>\n(141/726) × 100 = 19.4215%.\n</reasoning>\nFinal Answer: 19.4215%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Given A = [2, 8, 11, 13, 18, 19] and B = [4, 13, 14], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [13].\n</reasoning>\nFinal Answer: [13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 43 = 79"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 6x = 36. Divide by 6: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 * 44 + 32 * 2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 8×44=352 and 32×2=64, then add: 416.\n</reasoning>\nFinal Answer: 416"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 147 km/h. How far does it travel in 10 hours and 9 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 9/60 = 10.1500 hours. Distance = speed × time = 147 × 10.1500 = 1492.05 km.\n</reasoning>\nFinal Answer: 1492.05"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 7/4 / 12/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/4) ÷ (12/12) = (7/4) × (12/12) = 7/4.\n</reasoning>\nFinal Answer: 7/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 711 mod 860"
},
{
"role": "assistant",
"content": "<reasoning>\n711 mod 860: 711 = 860 × 0 + 711, so remainder = 711.\n</reasoning>\nFinal Answer: 711"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹1599. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1599 × 28/100 = 447.72. Total = 1599 + 447.72 = 2046.72.\n</reasoning>\nFinal Answer: 2046.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 84 and width 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 84 × 7 = 588.\n</reasoning>\nFinal Answer: 588"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [1, 6, 11] and B = [2, 18, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 6, 11, 18, 19].\n</reasoning>\nFinal Answer: [1, 2, 6, 11, 18, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 18 = 62"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 22x = 44. Divide by 22: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 28 and common difference 9, find the 43th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 28 + (43-1)×9 = 28 + 378 = 406.\n</reasoning>\nFinal Answer: 406"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -859 × 801"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -859 by 801: -859 × 801 = -688059.\n</reasoning>\nFinal Answer: -688059"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 + 20 * 46 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 20×46=920, then 14+920-2=932.\n</reasoning>\nFinal Answer: 932"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [38, 45, 52, 59, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 38 and common difference 7. Next term = 66 + 7 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 29 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 29 = 551 worker-days. New time = 551 / 19 = 29.0 days.\n</reasoning>\nFinal Answer: 29.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 484 × -977"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 484 by -977: 484 × -977 = -472868.\n</reasoning>\nFinal Answer: -472868"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -45 = 693"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 18x = 738. Divide by 18: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 81 and height 14."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 81 × 14 = 567.0.\n</reasoning>\nFinal Answer: 567.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -317 + -159"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -317 and -159: -317 + -159 = -476.\n</reasoning>\nFinal Answer: -476"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 18/6 * 9/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/6) × (9/18) = (162/108) = 3/2 after simplification.\n</reasoning>\nFinal Answer: 3/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 7 and 127."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(7,127) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 51 and width 55."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(51+55) = 2×106 = 212.\n</reasoning>\nFinal Answer: 212"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -539 ÷ -370"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -539 by -370. -539 ÷ -370 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [76, 32, 96, 54, 92, 26, 22, 35, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 498/9 = 55.3333.\n</reasoning>\nFinal Answer: 55.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 931 × 64"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 931 by 64: 931 × 64 = 59584.\n</reasoning>\nFinal Answer: 59584"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 546 - -730"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -730 from 546: 546 - -730 = 1276.\n</reasoning>\nFinal Answer: 1276"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -10 = 914"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 21x = 924. Divide by 21: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [91, 79, 30, 92, 34, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {91: 1, 79: 1, 30: 1, 92: 1, 34: 1, 61: 1}. Most frequent: [91, 79, 30, 92, 34, 61].\n</reasoning>\nFinal Answer: [91, 79, 30, 92, 34, 61]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Decrease 22 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 22 × (1 - 7/100) = 22 × 0.9299999999999999 = 20.46.\n</reasoning>\nFinal Answer: 20.46"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:29 and A = 96, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/29, so B = A × (29/17) = 96 × 29/17 = 163.7647.\n</reasoning>\nFinal Answer: 163.7647"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 21 = -411"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 16x = -432. Divide by 16: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹47679 at 9% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 47679 × 9 × 9 / 100 = 38619.99.\n</reasoning>\nFinal Answer: 38619.99"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 180 + 383"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 180 and 383: 180 + 383 = 563.\n</reasoning>\nFinal Answer: 563"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [81, 86, 57, 78, 84, 94, 80, 60, 68, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [57, 60, 68, 68, 78, 80, 81, 84, 86, 94]. Middle value(s) → median = 79.0.\n</reasoning>\nFinal Answer: 79.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -254 + -228"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -254 and -228: -254 + -228 = -482.\n</reasoning>\nFinal Answer: -482"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 17% of 247?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 247 = (17/100) × 247 = 41.99.\n</reasoning>\nFinal Answer: 41.99"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 10% of 140?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 140 = (10/100) × 140 = 14.0.\n</reasoning>\nFinal Answer: 14.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 28 = 348"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 20x = 320. Divide by 20: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 682 + 200"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 682 and 200: 682 + 200 = 882.\n</reasoning>\nFinal Answer: 882"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 15 - 8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from 15: 15 - 8 = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 9, 14, 19] and B = [2, 4, 6, 8, 11, 16, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [4, 5, 6, 8, 9, 11, 14, 16, 17, 19].\n</reasoning>\... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "250 is what percentage of 970?"
},
{
"role": "assistant",
"content": "<reasoning>\n(250/970) × 100 = 25.7732%.\n</reasoning>\nFinal Answer: 25.7732%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 4 = -80"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 7x = -84. Divide by 7: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 1/12 + 12/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/12 + 12/10. Common denominator = 60. Result = 77/60.\n</reasoning>\nFinal Answer: 77/60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [3, 34, 63, 94, 35, 64, 69, 62, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 34, 35, 62, 63, 64, 69, 90, 94]. Middle value(s) → median = 63.\n</reasoning>\nFinal Answer: 63"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 17/7 / 15/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/7) ÷ (15/4) = (17/7) × (4/15) = 68/105.\n</reasoning>\nFinal Answer: 68/105"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-4)x + (-48) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -4² - 4×2×-48 = 400. √discriminant = 20. x = (-(-4) ± 20) / (2×2). Solutions: x = -4 or x = 6.\n</reasoning>\nFinal Answer: x = -4 or x = 6"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Ravi has 65 apples and buys 69 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 65 + 69 = 134.\n</reasoning>\nFinal Answer: 134"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 4/7 + 3/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/7 + 3/16. Common denominator = 112. Result = 85/112.\n</reasoning>\nFinal Answer: 85/112"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -424 ÷ -338"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -424 by -338. -424 ÷ -338 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 7, 10] and B = [9, 12, 13], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 5, 7, 9, 10, 12, 13].\n</reasoning>\nFinal Answer: [3, 5, 7, 9, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (15)x + (-42) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 15² - 4×3×-42 = 729. √discriminant = 27. x = (-(15) ± 27) / (2×3). Solutions: x = -7 or x = 2.\n</reasoning>\nFinal Answer: x = -7 or x = 2"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "134 is what percentage of 488?"
},
{
"role": "assistant",
"content": "<reasoning>\n(134/488) × 100 = 27.459%.\n</reasoning>\nFinal Answer: 27.459%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -8 = 144"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 19x = 152. Divide by 19: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 47 = -229"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 6x = -276. Divide by 6: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 166 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 166 × (1 - 45/100) = 166 × 0.55 = 91.3.\n</reasoning>\nFinal Answer: 91.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 188 km/h. How far does it travel in 12 hours and 22 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 22/60 = 12.3667 hours. Distance = speed × time = 188 × 12.3667 = 2324.9333 km.\n</reasoning>\nFinal Answer: 2324.9333"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 5, 9, 14, 16, 17, 18] and B = [6, 9, 11, 12, 18, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [9, 18].\n</reasoning>\nFinal Answer: [9, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 23 × -779"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 23 by -779: 23 × -779 = -17917.\n</reasoning>\nFinal Answer: -17917"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 45% of 335?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 335 = (45/100) × 335 = 150.75.\n</reasoning>\nFinal Answer: 150.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 26 and width 90."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(26+90) = 2×116 = 232.\n</reasoning>\nFinal Answer: 232"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 20 = -28"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 2x = -48. Divide by 2: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 45 = -1231"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 29x = -1276. Divide by 29: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 80% of 826?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 826 = (80/100) × 826 = 660.8.\n</reasoning>\nFinal Answer: 660.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -22 = 530"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 23x = 552. Divide by 23: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 47 ** 2 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 47²=2209, then 1+2209-28=2182.\n</reasoning>\nFinal Answer: 2182"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 12/15 / 18/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/15) ÷ (18/7) = (12/15) × (7/18) = 14/45.\n</reasoning>\nFinal Answer: 14/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 43 ** 2 - 49"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 43²=1849, then 32+1849-49=1832.\n</reasoning>\nFinal Answer: 1832"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Is 45 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n45 = 3 × 15, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Calculate: 396 - 340"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 340 from 396: 396 - 340 = 56.\n</reasoning>\nFinal Answer: 56"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 + 31 ** 2 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 31²=961, then 28+961-17=972.\n</reasoning>\nFinal Answer: 972"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 45 = 132"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 3x = 87. Divide by 3: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
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