messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 + 43 ** 2 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 43²=1849, then 2+1849-40=1811.\n</reasoning>\nFinal Answer: 1811"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 73 and 152."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(73,152) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 130 and 29."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(130,29) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the range of: [98, 84, 52, 26, 26, 28, 62, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 26 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mode of: [60, 14, 41, 98, 44, 43, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {60: 1, 14: 1, 41: 1, 98: 1, 44: 1, 43: 1, 92: 1}. Most frequent: [60, 14, 41, 98, 44, 43, 92].\n</reasoning>\nFinal Answer: [60, 14, 41, 98, 44, 43... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 222 × 207"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 222 by 207: 222 × 207 = 45954.\n</reasoning>\nFinal Answer: 45954"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (5 + 31) * (22 - 42)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (5+31)=36, (22-42)=-20, then 36×-20=-720.\n</reasoning>\nFinal Answer: -720"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "530 is what percentage of 608?"
},
{
"role": "assistant",
"content": "<reasoning>\n(530/608) × 100 = 87.1711%.\n</reasoning>\nFinal Answer: 87.1711%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 40 * 19 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 40×19=760, then 36+760-28=768.\n</reasoning>\nFinal Answer: 768"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 42, 19 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (42+19) × 37 = 1128.5.\n</reasoning>\nFinal Answer: 1128.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 19/11 * 20/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/11) × (20/11) = (380/121) = 380/121 after simplification.\n</reasoning>\nFinal Answer: 380/121"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (9 + 20) * (28 - 18)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (9+20)=29, (28-18)=10, then 29×10=290.\n</reasoning>\nFinal Answer: 290"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹8115 at 20% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 8115 × 20 × 6 / 100 = 9738.0.\n</reasoning>\nFinal Answer: 9738.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [65, 75, 46, 67, 6, 66, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 75 - 6 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mode of: [26, 59, 33, 90, 53, 47, 86, 86, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {26: 1, 59: 1, 33: 1, 90: 1, 53: 1, 47: 1, 86: 2, 4: 1}. Most frequent: 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 124 and 109."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(124,109) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (42 + 41) * (30 - 18)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (42+41)=83, (30-18)=12, then 83×12=996.\n</reasoning>\nFinal Answer: 996"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [2, 11, 12, 14, 15] and B = [4, 8, 9, 14, 15, 16], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 4, 8, 9, 11, 12, 14, 15, 16].\n</reasoning>\nFinal Answer: [2, 4, 8, 9, 11, 12, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 11/8 / 14/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/8) ÷ (14/15) = (11/8) × (15/14) = 165/112.\n</reasoning>\nFinal Answer: 165/112"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -47 = -173"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 7x = -126. Divide by 7: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 * 5 + 31 * 41"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 45×5=225 and 31×41=1271, then add: 1496.\n</reasoning>\nFinal Answer: 1496"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 18, 33, and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 18 + 33 + 38 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -39 = -269"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 10x = -230. Divide by 10: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 20% of 1?"
},
{
"role": "assistant",
"content": "<reasoning>\n20% of 1 = (20/100) × 1 = 0.2.\n</reasoning>\nFinal Answer: 0.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 43 and common difference 8, find the 33th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 43 + (33-1)×8 = 43 + 256 = 299.\n</reasoning>\nFinal Answer: 299"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the median of: [87, 56, 15, 2, 86, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 15, 56, 65, 86, 87]. Middle value(s) → median = 60.5.\n</reasoning>\nFinal Answer: 60.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹41702 at 11% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 41702 × 11 × 2 / 100 = 9174.44.\n</reasoning>\nFinal Answer: 9174.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹28920 at 19% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 28920 × 19 × 8 / 100 = 43958.4.\n</reasoning>\nFinal Answer: 43958.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 23, 23, and 26."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 23 + 23 + 26 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -391 × -716"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -391 by -716: -391 × -716 = 279956.\n</reasoning>\nFinal Answer: 279956"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 50 and width 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 50 × 39 = 1950.\n</reasoning>\nFinal Answer: 1950"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 14 = 314"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 20x = 300. Divide by 20: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 437 - 708"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 708 from 437: 437 - 708 = -271.\n</reasoning>\nFinal Answer: -271"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "List all positive factors of 22."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 22: factors are [1, 2, 11, 22].\n</reasoning>\nFinal Answer: [1, 2, 11, 22]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Find the median of: [12, 24, 12, 75, 78, 17, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 12, 12, 17, 24, 75, 78]. Middle value(s) → median = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -462 + 943"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -462 and 943: -462 + 943 = 481.\n</reasoning>\nFinal Answer: 481"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 9/4 * 3/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/4) × (3/20) = (27/80) = 27/80 after simplification.\n</reasoning>\nFinal Answer: 27/80"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 862 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 862 × (1 - 40/100) = 862 × 0.6 = 517.2.\n</reasoning>\nFinal Answer: 517.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 360 × -695"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 360 by -695: 360 × -695 = -250200.\n</reasoning>\nFinal Answer: -250200"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -23 = -226"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 7x = -203. Divide by 7: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 + 38 * 36 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 38×36=1368, then 34+1368-25=1377.\n</reasoning>\nFinal Answer: 1377"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [82, 62, 52, 62, 93, 5, 50, 53, 1, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {82: 1, 62: 2, 52: 1, 93: 1, 5: 1, 50: 1, 53: 1, 1: 1, 48: 1}. Most frequent: 62.\n</reasoning>\nFinal Answer: 62"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mode of: [22, 55, 51, 42, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {22: 1, 55: 1, 51: 1, 42: 1, 69: 1}. Most frequent: [22, 55, 51, 42, 69].\n</reasoning>\nFinal Answer: [22, 55, 51, 42, 69]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 743 - 970"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 970 from 743: 743 - 970 = -227.\n</reasoning>\nFinal Answer: -227"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 82 and height 23."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 82 × 23 = 1886.\n</reasoning>\nFinal Answer: 1886"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 8/1 * 18/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/1) × (18/13) = (144/13) = 144/13 after simplification.\n</reasoning>\nFinal Answer: 144/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 386 - -125"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -125 from 386: 386 - -125 = 511.\n</reasoning>\nFinal Answer: 511"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 588 - -710"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -710 from 588: 588 - -710 = 1298.\n</reasoning>\nFinal Answer: 1298"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [70, 90, 100, 70, 59, 83, 95, 37, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 4 = 96.\n</reasoning>\nFinal Answer: 96"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 57 and width 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 57 × 7 = 399.\n</reasoning>\nFinal Answer: 399"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "411 is what percentage of 798?"
},
{
"role": "assistant",
"content": "<reasoning>\n(411/798) × 100 = 51.5038%.\n</reasoning>\nFinal Answer: 51.5038%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 55 and height 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 55 × 39 = 1072.5.\n</reasoning>\nFinal Answer: 1072.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 324 - -806"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -806 from 324: 324 - -806 = 1130.\n</reasoning>\nFinal Answer: 1130"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -16 = -14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 2x = 2. Divide by 2: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -899 - 363"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 363 from -899: -899 - 363 = -1262.\n</reasoning>\nFinal Answer: -1262"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/1 + 20/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/1 + 20/20. Common denominator = 1. Result = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 399 mod 933"
},
{
"role": "assistant",
"content": "<reasoning>\n399 mod 933: 399 = 933 × 0 + 399, so remainder = 399.\n</reasoning>\nFinal Answer: 399"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 7, 5 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (7+5) × 5 = 30.0.\n</reasoning>\nFinal Answer: 30.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 25 = 1081"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 24x = 1056. Divide by 24: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -660 × -22"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -660 by -22: -660 × -22 = 14520.\n</reasoning>\nFinal Answer: 14520"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [5, 6, 7, 11, 13, 15, 16] and B = [4, 7, 8, 11, 13], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [4, 5, 6, 8, 15, 16].\n</reasoning>\nFinal Answer:... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 47 and width 24."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(47+24) = 2×71 = 142.\n</reasoning>\nFinal Answer: 142"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 16 and width 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 16 × 10 = 160.\n</reasoning>\nFinal Answer: 160"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a circle with radius 35. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nArea = π × r² = π × 35² = π × 1225 ≈ 3848.451.\n</reasoning>\nFinal Answer: 3848.451"
}
] | medium | [
"geometry",
"area",
"circle"
] |
[
{
"role": "user",
"content": "Calculate: -954 ÷ -999"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -954 by -999. -954 ÷ -999 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 289 km apart. Their speeds are 55 km/h and 72 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 55+72=127 km/h. Time = 289/127 = 2.2756 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 919 × 803"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 919 by 803: 919 × 803 = 737957.\n</reasoning>\nFinal Answer: 737957"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹9967 at 18% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 9967 × 18 × 5 / 100 = 8970.3.\n</reasoning>\nFinal Answer: 8970.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:27 and A = 13, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/27, so B = A × (27/17) = 13 × 27/17 = 20.6471.\n</reasoning>\nFinal Answer: 20.6471"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 740 mod -995"
},
{
"role": "assistant",
"content": "<reasoning>\n740 mod -995: 740 = -995 × -1 + -255, so remainder = -255.\n</reasoning>\nFinal Answer: -255"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹4236. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4236 × 28/100 = 1186.08. Total = 4236 + 1186.08 = 5422.08.\n</reasoning>\nFinal Answer: 5422.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 473 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 473 × (1 - 7/100) = 473 × 0.9299999999999999 = 439.89.\n</reasoning>\nFinal Answer: 439.89"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [89, 62, 27, 72, 20, 95, 22, 23, 72]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [20, 22, 23, 27, 62, 72, 72, 89, 95]. Middle value(s) → median = 62.\n</reasoning>\nFinal Answer: 62"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 7/11 * 7/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/11) × (7/12) = (49/132) = 49/132 after simplification.\n</reasoning>\nFinal Answer: 49/132"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:10 and A = 56, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/10, so B = A × (10/14) = 56 × 10/14 = 40.0.\n</reasoning>\nFinal Answer: 40.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹40522 at 9% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 40522 × 9 × 4 / 100 = 14587.92.\n</reasoning>\nFinal Answer: 14587.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [60, 54, 26, 17, 96, 9, 83, 64, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 17, 26, 30, 54, 60, 64, 83, 96]. Middle value(s) → median = 54.\n</reasoning>\nFinal Answer: 54"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 13/6 / 17/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/6) ÷ (17/12) = (13/6) × (12/17) = 26/17.\n</reasoning>\nFinal Answer: 26/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -703 × 1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -703 by 1: -703 × 1 = -703.\n</reasoning>\nFinal Answer: -703"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [73, 23, 64, 25, 57, 33, 42, 57, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {73: 1, 23: 1, 64: 1, 25: 1, 57: 2, 33: 1, 42: 1, 55: 1}. Most frequent: 57.\n</reasoning>\nFinal Answer: 57"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 13/7 - 1/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/7 - 1/8. LCD = 56. Result = 97/56.\n</reasoning>\nFinal Answer: 97/56"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 101 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 101 × (1 - 50/100) = 101 × 0.5 = 50.5.\n</reasoning>\nFinal Answer: 50.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 21 and width 4."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(21+4) = 2×25 = 50.\n</reasoning>\nFinal Answer: 50"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 962 km apart. Their speeds are 47 km/h and 103 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 47+103=150 km/h. Time = 962/150 = 6.4133 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 1/13 + 10/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/13 + 10/18. Common denominator = 117. Result = 74/117.\n</reasoning>\nFinal Answer: 74/117"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 18/14 * 2/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/14) × (2/7) = (36/98) = 18/49 after simplification.\n</reasoning>\nFinal Answer: 18/49"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 98 apples and buys 174 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 98 + 174 = 272.\n</reasoning>\nFinal Answer: 272"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -807 mod -495"
},
{
"role": "assistant",
"content": "<reasoning>\n-807 mod -495: -807 = -495 × 1 + -312, so remainder = -312.\n</reasoning>\nFinal Answer: -312"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹740. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 740 × 5/100 = 37.0. Total = 740 + 37.0 = 777.0.\n</reasoning>\nFinal Answer: 777.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 689 - 759"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 759 from 689: 689 - 759 = -70.\n</reasoning>\nFinal Answer: -70"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 109 - 323"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 323 from 109: 109 - 323 = -214.\n</reasoning>\nFinal Answer: -214"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 * 33 + 3 * 22"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 36×33=1188 and 3×22=66, then add: 1254.\n</reasoning>\nFinal Answer: 1254"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [33, 48, 65, 61, 68, 23, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [23, 33, 44, 48, 61, 65, 68]. Middle value(s) → median = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Increase 992 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 992 × (1 + 100/100) = 992 × 2.0 = 1984.0.\n</reasoning>\nFinal Answer: 1984.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 12, 17] and B = [8, 9, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 4, 12, 17].\n</reasoning>\nFinal Answer: [1, 4, 12, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [98, 69, 81, 4, 4, 63, 28, 22, 13, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 4 = 94.\n</reasoning>\nFinal Answer: 94"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 10/10 * 12/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/10) × (12/7) = (120/70) = 12/7 after simplification.\n</reasoning>\nFinal Answer: 12/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 41 km/h. How far does it travel in 6 hours and 11 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 11/60 = 6.1833 hours. Distance = speed × time = 41 × 6.1833 = 253.5167 km.\n</reasoning>\nFinal Answer: 253.5167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "6 workers can complete a job in 28 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 6 × 28 = 168 worker-days. New time = 168 / 20 = 8.4 days.\n</reasoning>\nFinal Answer: 8.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 79 and width 25."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(79+25) = 2×104 = 208.\n</reasoning>\nFinal Answer: 208"
}
] | easy | [
"geometry",
"perimeter"
] |
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