messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "152 is what percentage of 311?"
},
{
"role": "assistant",
"content": "<reasoning>\n(152/311) × 100 = 48.8746%.\n</reasoning>\nFinal Answer: 48.8746%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 12 = 579"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 21x = 567. Divide by 21: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -35 = 425"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 23x = 460. Divide by 23: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -539 × 737"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -539 by 737: -539 × 737 = -397243.\n</reasoning>\nFinal Answer: -397243"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 2/1 * 13/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/1) × (13/20) = (26/20) = 13/10 after simplification.\n</reasoning>\nFinal Answer: 13/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 27 and height 66."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 27 × 66 = 891.0.\n</reasoning>\nFinal Answer: 891.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:25 and A = 35, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/25, so B = A × (25/31) = 35 × 25/31 = 28.2258.\n</reasoning>\nFinal Answer: 28.2258"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -27 = -63"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 3x = -36. Divide by 3: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 14/13 + 17/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/13 + 17/20. Common denominator = 260. Result = 501/260.\n</reasoning>\nFinal Answer: 501/260"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:33 and A = 88, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/33, so B = A × (33/10) = 88 × 33/10 = 290.4.\n</reasoning>\nFinal Answer: 290.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 18 and 17."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (18×17)/1 = 306.\n</reasoning>\nFinal Answer: 306"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 43 and 42."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (43×42)/1 = 1806.\n</reasoning>\nFinal Answer: 1806"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -516 ÷ -943"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -516 by -943. -516 ÷ -943 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -49 = -23"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 1x = 26. Divide by 1: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 4, 10, 11, 13, 14, 19] and B = [12, 13, 14, 16], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 3, 4, 10, 11, 12, 16, 19].\n</reasoning>\nF... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 35."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 35 = 140.\n</reasoning>\nFinal Answer: 140"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 291 ÷ -919"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 291 by -919. 291 ÷ -919 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 175 × -511"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 175 by -511: 175 × -511 = -89425.\n</reasoning>\nFinal Answer: -89425"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -903 × -917"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -903 by -917: -903 × -917 = 828051.\n</reasoning>\nFinal Answer: 828051"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 35 * 42 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 35×42=1470, then 31+1470-42=1459.\n</reasoning>\nFinal Answer: 1459"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 5/4 / 12/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/4) ÷ (12/15) = (5/4) × (15/12) = 25/16.\n</reasoning>\nFinal Answer: 25/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 30 and height 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 30 × 15 = 450.\n</reasoning>\nFinal Answer: 450"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 48 = -60"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 9x = -108. Divide by 9: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 18, 35 and height 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (18+35) × 44 = 1166.0.\n</reasoning>\nFinal Answer: 1166.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 48 = -85"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 7x = -133. Divide by 7: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 9/5 + 20/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/5 + 20/8. Common denominator = 10. Result = 43/10.\n</reasoning>\nFinal Answer: 43/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:16 and A = 16, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/16, so B = A × (16/6) = 16 × 16/6 = 42.6667.\n</reasoning>\nFinal Answer: 42.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 87 km/h. How far does it travel in 8 hours and 25 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 25/60 = 8.4167 hours. Distance = speed × time = 87 × 8.4167 = 732.25 km.\n</reasoning>\nFinal Answer: 732.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 31 = 1106"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 25x = 1075. Divide by 25: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "105 is what percentage of 106?"
},
{
"role": "assistant",
"content": "<reasoning>\n(105/106) × 100 = 99.0566%.\n</reasoning>\nFinal Answer: 99.0566%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 * 31 + 40 * 27"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 26×31=806 and 40×27=1080, then add: 1886.\n</reasoning>\nFinal Answer: 1886"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 36 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 36 × 28 = 1008.\n</reasoning>\nFinal Answer: 1008"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -286 mod -454"
},
{
"role": "assistant",
"content": "<reasoning>\n-286 mod -454: -286 = -454 × 0 + -286, so remainder = -286.\n</reasoning>\nFinal Answer: -286"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [24, 81, 12, 59, 76, 56, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 386/7 = 55.1429.\n</reasoning>\nFinal Answer: 55.1429"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 1 and width 49."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(1+49) = 2×50 = 100.\n</reasoning>\nFinal Answer: 100"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -922 × 492"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -922 by 492: -922 × 492 = -453624.\n</reasoning>\nFinal Answer: -453624"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -13 = 727"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 20x = 740. Divide by 20: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 151 km/h. How far does it travel in 3 hours and 42 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 42/60 = 3.7000 hours. Distance = speed × time = 151 × 3.7000 = 558.7 km.\n</reasoning>\nFinal Answer: 558.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:21 and A = 9, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/21, so B = A × (21/23) = 9 × 21/23 = 8.2174.\n</reasoning>\nFinal Answer: 8.2174"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 28 = 96"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 2x = 68. Divide by 2: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:5 and A = 80, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/5, so B = A × (5/38) = 80 × 5/38 = 10.5263.\n</reasoning>\nFinal Answer: 10.5263"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 525 ÷ 957"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 525 by 957. 525 ÷ 957 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 5, 17 and height 40."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (5+17) × 40 = 440.0.\n</reasoning>\nFinal Answer: 440.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [87, 91, 57, 15, 15, 39, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {87: 1, 91: 1, 57: 1, 15: 2, 39: 1, 10: 1}. Most frequent: 15.\n</reasoning>\nFinal Answer: 15"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 48 and common difference 20, find the 17th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 48 + (17-1)×20 = 48 + 320 = 368.\n</reasoning>\nFinal Answer: 368"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 38 and width 69."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 38 × 69 = 2622.\n</reasoning>\nFinal Answer: 2622"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 98 and width 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 98 × 32 = 3136.\n</reasoning>\nFinal Answer: 3136"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 534 ÷ -165"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 534 by -165. 534 ÷ -165 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [7, 73, 42, 64, 82, 51, 3, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {7: 1, 73: 1, 42: 1, 64: 1, 82: 1, 51: 1, 3: 1, 5: 1}. Most frequent: [7, 73, 42, 64, 82, 51, 3, 5].\n</reasoning>\nFinal Answer: [7, 73, 42, 64, 8... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Given A = [11, 14, 16] and B = [4, 5, 9, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [4, 5, 9, 11, 14, 16, 17].\n</reasoning>\nFinal Answer: [4, 5, 9, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 752 mod 954"
},
{
"role": "assistant",
"content": "<reasoning>\n752 mod 954: 752 = 954 × 0 + 752, so remainder = 752.\n</reasoning>\nFinal Answer: 752"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/15 * 18/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/15) × (18/1) = (126/15) = 42/5 after simplification.\n</reasoning>\nFinal Answer: 42/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 16/18 + 12/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/18 + 12/19. Common denominator = 171. Result = 260/171.\n</reasoning>\nFinal Answer: 260/171"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 800 + -388"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 800 and -388: 800 + -388 = 412.\n</reasoning>\nFinal Answer: 412"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 32 and height 20."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 32 × 20 = 640.\n</reasoning>\nFinal Answer: 640"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 * 26 + 20 * 30"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 43×26=1118 and 20×30=600, then add: 1718.\n</reasoning>\nFinal Answer: 1718"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -409 - -400"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -400 from -409: -409 - -400 = -9.\n</reasoning>\nFinal Answer: -9"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 15 = -115"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 26x = -130. Divide by 26: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -588 + 825"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -588 and 825: -588 + 825 = 237.\n</reasoning>\nFinal Answer: 237"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 8 = 296"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 9x = 288. Divide by 9: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 7% of 792?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 792 = (7/100) × 792 = 55.44.\n</reasoning>\nFinal Answer: 55.44"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 10/11 - 5/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/11 - 5/19. LCD = 209. Result = 135/209.\n</reasoning>\nFinal Answer: 135/209"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/5 + 5/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/5 + 5/11. Common denominator = 55. Result = 168/55.\n</reasoning>\nFinal Answer: 168/55"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 16 = 31"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 5x = 15. Divide by 5: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 3 = -1017"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 30x = -1020. Divide by 30: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [85, 30, 74, 100, 91, 76, 100, 69, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 626/9 = 69.5556.\n</reasoning>\nFinal Answer: 69.5556"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 26 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 26 = 338 worker-days. New time = 338 / 7 = 48.2857 days.\n</reasoning>\nFinal Answer: 48.2857"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -17 = 262"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 9x = 279. Divide by 9: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 + 49 * 17 - 16"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 49×17=833, then 5+833-16=822.\n</reasoning>\nFinal Answer: 822"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -3 = 69"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 3x = 72. Divide by 3: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 21 ÷ -504"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 21 by -504. 21 ÷ -504 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 582 - -516"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -516 from 582: 582 - -516 = 1098.\n</reasoning>\nFinal Answer: 1098"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [97, 35, 37, 67, 82, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 353/6 = 58.8333.\n</reasoning>\nFinal Answer: 58.8333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 879 × -367"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 879 by -367: 879 × -367 = -322593.\n</reasoning>\nFinal Answer: -322593"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹3610. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3610 × 18/100 = 649.8. Total = 3610 + 649.8 = 4259.8.\n</reasoning>\nFinal Answer: 4259.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:26 and A = 67, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/26, so B = A × (26/46) = 67 × 26/46 = 37.8696.\n</reasoning>\nFinal Answer: 37.8696"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -33 = -371"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 13x = -338. Divide by 13: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -5 = -69"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 8x = -64. Divide by 8: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -7 = 181"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 4x = 188. Divide by 4: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 270 ÷ 919"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 270 by 919. 270 ÷ 919 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [91, 69, 52, 82, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [52, 56, 69, 82, 91]. Middle value(s) → median = 69.\n</reasoning>\nFinal Answer: 69"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-11)x + (18) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -11² - 4×1×18 = 49. √discriminant = 7. x = (-(-11) ± 7) / (2×1). Solutions: x = 9 or x = 2.\n</reasoning>\nFinal Answer: x = 9 or x = 2"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "1 is what percentage of 5?"
},
{
"role": "assistant",
"content": "<reasoning>\n(1/5) × 100 = 20.0%.\n</reasoning>\nFinal Answer: 20.0%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "What is 75% of 711?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 711 = (75/100) × 711 = 533.25.\n</reasoning>\nFinal Answer: 533.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-35)x + (-150) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -35² - 4×5×-150 = 4225. √discriminant = 65. x = (-(-35) ± 65) / (2×5). Solutions: x = -3 or x = 10.\n</reasoning>\nFinal Answer: x = -3 or x ... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -102 × -68"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -102 by -68: -102 × -68 = 6936.\n</reasoning>\nFinal Answer: 6936"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:19 and A = 21, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/19, so B = A × (19/3) = 21 × 19/3 = 133.0.\n</reasoning>\nFinal Answer: 133.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 14/7 * 13/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/7) × (13/20) = (182/140) = 13/10 after simplification.\n</reasoning>\nFinal Answer: 13/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Is 88 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n88 = 2 × 44, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 20 ** 2 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 20²=400, then 1+400-44=357.\n</reasoning>\nFinal Answer: 357"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 23 ** 2 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 23²=529, then 9+529-4=534.\n</reasoning>\nFinal Answer: 534"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 482 × -457"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 482 by -457: 482 × -457 = -220274.\n</reasoning>\nFinal Answer: -220274"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [9, 54, 1, 23, 37, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 54 - 1 = 53.\n</reasoning>\nFinal Answer: 53"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the range of: [6, 60, 56, 19, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 88 - 6 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "An item costs ₹363. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 363 × 12/100 = 43.56. Total = 363 + 43.56 = 406.56.\n</reasoning>\nFinal Answer: 406.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 19, 37, and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 19 + 37 + 40 = 96.\n</reasoning>\nFinal Answer: 96"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 29 = 449"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 28x = 420. Divide by 28: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 260 km apart. Their speeds are 44 km/h and 96 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 44+96=140 km/h. Time = 260/140 = 1.8571 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 16 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 16 = 160 worker-days. New time = 160 / 17 = 9.4118 days.\n</reasoning>\nFinal Answer: 9.4118"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 468."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 468 by smallest primes repeatedly: 468 = 2 × 2 × 3 × 3 × 13.\n</reasoning>\nFinal Answer: 2 × 2 × 3 × 3 × 13"
}
] | medium | [
"number_theory",
"prime_factors"
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.