messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Decrease 527 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 527 × (1 - 60/100) = 527 × 0.4 = 210.8.\n</reasoning>\nFinal Answer: 210.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 49 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 49 × 5 = 245.\n</reasoning>\nFinal Answer: 245"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 3 = 1035"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 24x = 1032. Divide by 24: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 282 km apart. Their speeds are 111 km/h and 50 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 111+50=161 km/h. Time = 282/161 = 1.7516 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (9 + 43) * (31 - 39)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (9+43)=52, (31-39)=-8, then 52×-8=-416.\n</reasoning>\nFinal Answer: -416"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 213 × -323"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 213 by -323: 213 × -323 = -68799.\n</reasoning>\nFinal Answer: -68799"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (37 + 27) * (22 - 3)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (37+27)=64, (22-3)=19, then 64×19=1216.\n</reasoning>\nFinal Answer: 1216"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 458."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 458 by smallest primes repeatedly: 458 = 2 × 229.\n</reasoning>\nFinal Answer: 2 × 229"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 80 and height 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 80 × 12 = 960.\n</reasoning>\nFinal Answer: 960"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [42, 63, 45, 11, 94, 24, 55, 68, 53, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 496/10 = 49.6.\n</reasoning>\nFinal Answer: 49.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 15 and width 75."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(15+75) = 2×90 = 180.\n</reasoning>\nFinal Answer: 180"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:44 and A = 37, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/44, so B = A × (44/7) = 37 × 44/7 = 232.5714.\n</reasoning>\nFinal Answer: 232.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 65% of 935?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 935 = (65/100) × 935 = 607.75.\n</reasoning>\nFinal Answer: 607.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 42, 33 and height 34."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (42+33) × 34 = 1275.0.\n</reasoning>\nFinal Answer: 1275.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 25 × 408"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 25 by 408: 25 × 408 = 10200.\n</reasoning>\nFinal Answer: 10200"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 33 ** 2 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 33²=1089, then 42+1089-24=1107.\n</reasoning>\nFinal Answer: 1107"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 4/15 * 2/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/15) × (2/1) = (8/15) = 8/15 after simplification.\n</reasoning>\nFinal Answer: 8/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 24 and common difference 16, find the 33th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 24 + (33-1)×16 = 24 + 512 = 536.\n</reasoning>\nFinal Answer: 536"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the range of: [16, 100, 93, 20, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 12 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹20053 at 14% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 20053 × 14 × 6 / 100 = 16844.52.\n</reasoning>\nFinal Answer: 16844.52"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 42 ** 2 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 42²=1764, then 43+1764-14=1793.\n</reasoning>\nFinal Answer: 1793"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 11/19 * 8/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/19) × (8/5) = (88/95) = 88/95 after simplification.\n</reasoning>\nFinal Answer: 88/95"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 5, 13, 18] and B = [1, 2, 8, 11, 12, 14, 15, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 3, 5, 8, 11, 12, 13, 14, 15].\n</reasoning... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 10, 12, 16] and B = [5, 7, 12, 13, 14, 16, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 4, 5, 7, 10, 12, 13, 14, 16, 18].\n</reasoning>\nFinal Answer: [3, 4, 5, 7, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 5 and width 87."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 5 × 87 = 435.\n</reasoning>\nFinal Answer: 435"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 564 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 564 × (1 - 20/100) = 564 × 0.8 = 451.2.\n</reasoning>\nFinal Answer: 451.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 25 * 36 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 25×36=900, then 10+900-48=862.\n</reasoning>\nFinal Answer: 862"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 431 mod -942"
},
{
"role": "assistant",
"content": "<reasoning>\n431 mod -942: 431 = -942 × -1 + -511, so remainder = -511.\n</reasoning>\nFinal Answer: -511"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 8/9 / 12/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/9) ÷ (12/17) = (8/9) × (17/12) = 34/27.\n</reasoning>\nFinal Answer: 34/27"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [50, 2, 60, 5, 66, 23, 31, 16, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 5, 16, 23, 31, 48, 50, 60, 66]. Middle value(s) → median = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 94 and 76."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(94,76) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -585 + 834"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -585 and 834: -585 + 834 = 249.\n</reasoning>\nFinal Answer: 249"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -472 × 545"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -472 by 545: -472 × 545 = -257240.\n</reasoning>\nFinal Answer: -257240"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 32 ** 2 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 32²=1024, then 42+1024-19=1047.\n</reasoning>\nFinal Answer: 1047"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 56 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 56 × 5 = 140.0.\n</reasoning>\nFinal Answer: 140.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 6/6 - 19/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/6 - 19/19. LCD = 1. Result = 0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -1 = 483"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 22x = 484. Divide by 22: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:17 and A = 71, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/17, so B = A × (17/6) = 71 × 17/6 = 201.1667.\n</reasoning>\nFinal Answer: 201.1667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 40 = -80"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 6x = -120. Divide by 6: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 18 * 38 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 18×38=684, then 39+684-46=677.\n</reasoning>\nFinal Answer: 677"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 1/10 + 16/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/10 + 16/9. Common denominator = 90. Result = 169/90.\n</reasoning>\nFinal Answer: 169/90"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹1625. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1625 × 12/100 = 195.0. Total = 1625 + 195.0 = 1820.0.\n</reasoning>\nFinal Answer: 1820.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 7 and height 65."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 7 × 65 = 227.5.\n</reasoning>\nFinal Answer: 227.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 90% of 50?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 50 = (90/100) × 50 = 45.0.\n</reasoning>\nFinal Answer: 45.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 26 + -467"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 26 and -467: 26 + -467 = -441.\n</reasoning>\nFinal Answer: -441"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 2/2 / 16/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/2) ÷ (16/8) = (2/2) × (8/16) = 1/2.\n</reasoning>\nFinal Answer: 1/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 81 and 127."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(81,127) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 5/12 * 10/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/12) × (10/17) = (50/204) = 25/102 after simplification.\n</reasoning>\nFinal Answer: 25/102"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 30 and width 82."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 30 × 82 = 2460.\n</reasoning>\nFinal Answer: 2460"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 2/2 / 15/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/2) ÷ (15/8) = (2/2) × (8/15) = 8/15.\n</reasoning>\nFinal Answer: 8/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 18, 44 and height 47."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (18+44) × 47 = 1457.0.\n</reasoning>\nFinal Answer: 1457.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 41 = 99"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 2x = 58. Divide by 2: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [78, 1, 19, 33, 74, 67, 82, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 432/8 = 54.0.\n</reasoning>\nFinal Answer: 54.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 189 and 11."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(189,11) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Decrease 910 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 910 × (1 - 3/100) = 910 × 0.97 = 882.7.\n</reasoning>\nFinal Answer: 882.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 37 and width 88."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(37+88) = 2×125 = 250.\n</reasoning>\nFinal Answer: 250"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 17/4 + 19/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/4 + 19/16. Common denominator = 16. Result = 87/16.\n</reasoning>\nFinal Answer: 87/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 150 km/h. How far does it travel in 7 hours and 14 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 14/60 = 7.2333 hours. Distance = speed × time = 150 × 7.2333 = 1085.0 km.\n</reasoning>\nFinal Answer: 1085.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -901 - 947"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 947 from -901: -901 - 947 = -1848.\n</reasoning>\nFinal Answer: -1848"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [43, 8, 93, 16, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 6 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 21 = 63"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 1x = 42. Divide by 1: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [4, 12, 17, 18] and B = [2, 3, 11], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 3, 4, 11, 12, 17, 18].\n</reasoning>\nFinal Answer: [2, 3, 4, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Ravi has 87 apples and buys 139 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 87 + 139 = 226.\n</reasoning>\nFinal Answer: 226"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -530 ÷ 333"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -530 by 333. -530 ÷ 333 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 40 = 346"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 18x = 306. Divide by 18: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 6, 23, and 26."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 6 + 23 + 26 = 55.\n</reasoning>\nFinal Answer: 55"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 504 - -496"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -496 from 504: 504 - -496 = 1000.\n</reasoning>\nFinal Answer: 1000"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 840 ÷ -196"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 840 by -196. 840 ÷ -196 = -5 (integer division).\n</reasoning>\nFinal Answer: -5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 482 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 482 × (1 - 17/100) = 482 × 0.83 = 400.06.\n</reasoning>\nFinal Answer: 400.06"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -927 ÷ 947"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -927 by 947. -927 ÷ 947 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 16 and height 84."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 16 × 84 = 672.0.\n</reasoning>\nFinal Answer: 672.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:40 and A = 15, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/40, so B = A × (40/17) = 15 × 40/17 = 35.2941.\n</reasoning>\nFinal Answer: 35.2941"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 15/18 - 20/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/18 - 20/1. LCD = 6. Result = -115/6.\n</reasoning>\nFinal Answer: -115/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 33 ** 2 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 33²=1089, then 37+1089-33=1093.\n</reasoning>\nFinal Answer: 1093"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -680 - 224"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 224 from -680: -680 - 224 = -904.\n</reasoning>\nFinal Answer: -904"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 12 and common difference 9, find the 14th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 12 + (14-1)×9 = 12 + 117 = 129.\n</reasoning>\nFinal Answer: 129"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Increase 683 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 683 × (1 + 35/100) = 683 × 1.35 = 922.05.\n</reasoning>\nFinal Answer: 922.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 73 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 73 × (1 + 80/100) = 73 × 1.8 = 131.4.\n</reasoning>\nFinal Answer: 131.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 10 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 10 = 50 worker-days. New time = 50 / 5 = 10.0 days.\n</reasoning>\nFinal Answer: 10.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -631 mod -570"
},
{
"role": "assistant",
"content": "<reasoning>\n-631 mod -570: -631 = -570 × 1 + -61, so remainder = -61.\n</reasoning>\nFinal Answer: -61"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -16 = -529"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 19x = -513. Divide by 19: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -675 - -347"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -347 from -675: -675 - -347 = -328.\n</reasoning>\nFinal Answer: -328"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 636 ÷ 802"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 636 by 802. 636 ÷ 802 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 98 and height 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 98 × 36 = 3528.\n</reasoning>\nFinal Answer: 3528"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [77, 13, 88, 30, 21, 73, 100, 71, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 13 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 42 = 222"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 18x = 180. Divide by 18: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:35 and A = 82, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/35, so B = A × (35/45) = 82 × 35/45 = 63.7778.\n</reasoning>\nFinal Answer: 63.7778"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 116 and 136."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(116,136) = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -815 ÷ 397"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -815 by 397. -815 ÷ 397 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 26, 30, and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 26 + 30 + 37 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 41 = -375"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 26x = -416. Divide by 26: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 15 = 834"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 21x = 819. Divide by 21: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [60, 14, 70, 35, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {60: 1, 14: 1, 70: 1, 35: 1, 13: 1}. Most frequent: [60, 14, 70, 35, 13].\n</reasoning>\nFinal Answer: [60, 14, 70, 35, 13]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 4 and height 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 4 × 35 = 140.\n</reasoning>\nFinal Answer: 140"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 586 ÷ 955"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 586 by 955. 586 ÷ 955 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 46 = 236"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 19x = 190. Divide by 19: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 50 and 33."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (50×33)/1 = 1650.\n</reasoning>\nFinal Answer: 1650"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 4/20 * 17/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/20) × (17/6) = (68/120) = 17/30 after simplification.\n</reasoning>\nFinal Answer: 17/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [36, 23, 32, 65, 5, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 12, 23, 32, 36, 65]. Middle value(s) → median = 27.5.\n</reasoning>\nFinal Answer: 27.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 31 mod 884"
},
{
"role": "assistant",
"content": "<reasoning>\n31 mod 884: 31 = 884 × 0 + 31, so remainder = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"arithmetic",
"computation"
] |
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