messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -530 mod -850"
},
{
"role": "assistant",
"content": "<reasoning>\n-530 mod -850: -530 = -850 × 0 + -530, so remainder = -530.\n</reasoning>\nFinal Answer: -530"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 11/18 / 16/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/18) ÷ (16/19) = (11/18) × (19/16) = 209/288.\n</reasoning>\nFinal Answer: 209/288"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 38 = 38"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 30x = 0. Divide by 30: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 451 + -608"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 451 and -608: 451 + -608 = -157.\n</reasoning>\nFinal Answer: -157"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 36 and width 31."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 36 × 31 = 1116.\n</reasoning>\nFinal Answer: 1116"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 93 mod -818"
},
{
"role": "assistant",
"content": "<reasoning>\n93 mod -818: 93 = -818 × -1 + -725, so remainder = -725.\n</reasoning>\nFinal Answer: -725"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "575 is what percentage of 935?"
},
{
"role": "assistant",
"content": "<reasoning>\n(575/935) × 100 = 61.4973%.\n</reasoning>\nFinal Answer: 61.4973%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 3."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 3 = 12.\n</reasoning>\nFinal Answer: 12"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 26 = -134"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 4x = -160. Divide by 4: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 818 ÷ 814"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 818 by 814. 818 ÷ 814 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [44, 18, 95, 67, 78, 64, 9, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {44: 1, 18: 1, 95: 1, 67: 1, 78: 1, 64: 1, 9: 1, 31: 1}. Most frequent: [44, 18, 95, 67, 78, 64, 9, 31].\n</reasoning>\nFinal Answer: [44, 18, 95... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 2/18 + 18/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/18 + 18/19. Common denominator = 171. Result = 181/171.\n</reasoning>\nFinal Answer: 181/171"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 94 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 94 × (1 - 25/100) = 94 × 0.75 = 70.5.\n</reasoning>\nFinal Answer: 70.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 20 = 650"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 21x = 630. Divide by 21: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [74, 57, 85, 36, 47, 53, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [36, 47, 53, 57, 74, 84, 85]. Middle value(s) → median = 57.\n</reasoning>\nFinal Answer: 57"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the mode of: [42, 51, 74, 40, 70, 73, 64, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {42: 1, 51: 1, 74: 1, 40: 1, 70: 1, 73: 1, 64: 1, 97: 1}. Most frequent: [42, 51, 74, 40, 70, 73, 64, 97].\n</reasoning>\nFinal Answer: [42, 51,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -46 = 59"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 7x = 105. Divide by 7: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -716 ÷ -370"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -716 by -370. -716 ÷ -370 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 192 + -282"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 192 and -282: 192 + -282 = -90.\n</reasoning>\nFinal Answer: -90"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -156 × 544"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -156 by 544: -156 × 544 = -84864.\n</reasoning>\nFinal Answer: -84864"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 + 38 ** 2 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 38²=1444, then 28+1444-7=1465.\n</reasoning>\nFinal Answer: 1465"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -6 = -375"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 9x = -369. Divide by 9: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -22 = -10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 12x = 12. Divide by 12: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 4/8 * 5/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/8) × (5/12) = (20/96) = 5/24 after simplification.\n</reasoning>\nFinal Answer: 5/24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:9 and A = 52, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/9, so B = A × (9/6) = 52 × 9/6 = 78.0.\n</reasoning>\nFinal Answer: 78.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 45 - -7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from 45: 45 - -7 = 52.\n</reasoning>\nFinal Answer: 52"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -17 × 774"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -17 by 774: -17 × 774 = -13158.\n</reasoning>\nFinal Answer: -13158"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 723 + 41"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 723 and 41: 723 + 41 = 764.\n</reasoning>\nFinal Answer: 764"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 544 mod 366"
},
{
"role": "assistant",
"content": "<reasoning>\n544 mod 366: 544 = 366 × 1 + 178, so remainder = 178.\n</reasoning>\nFinal Answer: 178"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -16 = 156"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 4x = 172. Divide by 4: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -774 × 617"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -774 by 617: -774 × 617 = -477558.\n</reasoning>\nFinal Answer: -477558"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 8/20 - 19/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/20 - 19/18. LCD = 90. Result = -59/90.\n</reasoning>\nFinal Answer: -59/90"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -509 + -604"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -509 and -604: -509 + -604 = -1113.\n</reasoning>\nFinal Answer: -1113"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 699 ÷ 896"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 699 by 896. 699 ÷ 896 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [9, 15, 16] and B = [5, 8, 9, 12, 16], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [5, 8, 9, 12, 15, 16].\n</reasoning>\nFinal Answer: [5, 8, 9, 12, 15, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:28 and A = 97, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/28, so B = A × (28/42) = 97 × 28/42 = 64.6667.\n</reasoning>\nFinal Answer: 64.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 17 and common difference 8, find the 17th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 17 + (17-1)×8 = 17 + 128 = 145.\n</reasoning>\nFinal Answer: 145"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:2 and A = 26, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/2, so B = A × (2/42) = 26 × 2/42 = 1.2381.\n</reasoning>\nFinal Answer: 1.2381"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 168 km/h. How far does it travel in 1 hours and 36 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 36/60 = 1.6000 hours. Distance = speed × time = 168 × 1.6000 = 268.8 km.\n</reasoning>\nFinal Answer: 268.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 823 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 823 × (1 + 35/100) = 823 × 1.35 = 1111.05.\n</reasoning>\nFinal Answer: 1111.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 24 * 1 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 24×1=24, then 48+24-3=69.\n</reasoning>\nFinal Answer: 69"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 298."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 298 by smallest primes repeatedly: 298 = 2 × 149.\n</reasoning>\nFinal Answer: 2 × 149"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Simplify: 20/6 / 10/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/6) ÷ (10/5) = (20/6) × (5/10) = 5/3.\n</reasoning>\nFinal Answer: 5/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (33 + 12) * (31 - 18)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (33+12)=45, (31-18)=13, then 45×13=585.\n</reasoning>\nFinal Answer: 585"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 60% of 52?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 52 = (60/100) × 52 = 31.2.\n</reasoning>\nFinal Answer: 31.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 + 2 * 27 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 2×27=54, then 50+54-4=100.\n</reasoning>\nFinal Answer: 100"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹3522. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3522 × 18/100 = 633.96. Total = 3522 + 633.96 = 4155.96.\n</reasoning>\nFinal Answer: 4155.96"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [76, 40, 22, 45, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 76 - 22 = 54.\n</reasoning>\nFinal Answer: 54"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 2 and common difference 1, find the 21th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 2 + (21-1)×1 = 2 + 20 = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 114 and 156."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(114,156) = 6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "A train travels at 197 km/h. How far does it travel in 9 hours and 35 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 35/60 = 9.5833 hours. Distance = speed × time = 197 × 9.5833 = 1887.9167 km.\n</reasoning>\nFinal Answer: 1887.9167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 4, 41 and height 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (4+41) × 44 = 990.0.\n</reasoning>\nFinal Answer: 990.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 0 = -480"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 15x = -480. Divide by 15: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -836 - -873"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -873 from -836: -836 - -873 = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [21, 37, 53, 69, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 21 and common difference 16. Next term = 85 + 16 = 101.\n</reasoning>\nFinal Answer: 101"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 36 = 69"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 11x = 33. Divide by 11: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [81, 19, 41, 56, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [19, 41, 42, 56, 81]. Middle value(s) → median = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 3/13 / 6/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/13) ÷ (6/19) = (3/13) × (19/6) = 19/26.\n</reasoning>\nFinal Answer: 19/26"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [72, 5, 71, 90, 43, 50, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 90 - 5 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:23 and A = 61, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/23, so B = A × (23/40) = 61 × 23/40 = 35.075.\n</reasoning>\nFinal Answer: 35.075"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "73 is what percentage of 104?"
},
{
"role": "assistant",
"content": "<reasoning>\n(73/104) × 100 = 70.1923%.\n</reasoning>\nFinal Answer: 70.1923%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 304 ÷ 772"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 304 by 772. 304 ÷ 772 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -170 - 431"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 431 from -170: -170 - 431 = -601.\n</reasoning>\nFinal Answer: -601"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 34 and common difference 20, find the 40th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 34 + (40-1)×20 = 34 + 780 = 814.\n</reasoning>\nFinal Answer: 814"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Decrease 664 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 664 × (1 - 20/100) = 664 × 0.8 = 531.2.\n</reasoning>\nFinal Answer: 531.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 83 and height 48."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 83 × 48 = 1992.0.\n</reasoning>\nFinal Answer: 1992.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 45 ÷ -372"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 45 by -372. 45 ÷ -372 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "270 is what percentage of 285?"
},
{
"role": "assistant",
"content": "<reasoning>\n(270/285) × 100 = 94.7368%.\n</reasoning>\nFinal Answer: 94.7368%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 752 - -106"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -106 from 752: 752 - -106 = 858.\n</reasoning>\nFinal Answer: 858"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹3134. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3134 × 18/100 = 564.12. Total = 3134 + 564.12 = 3698.12.\n</reasoning>\nFinal Answer: 3698.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 3 * 50 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 3×50=150, then 17+150-1=166.\n</reasoning>\nFinal Answer: 166"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 36."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 36 = 144.\n</reasoning>\nFinal Answer: 144"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -25 = -457"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 18x = -432. Divide by 18: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 8 and 8."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(8,8) = 8.\n</reasoning>\nFinal Answer: 8"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -5 = -885"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 22x = -880. Divide by 22: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 127 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 127 × (1 - 20/100) = 127 × 0.8 = 101.6.\n</reasoning>\nFinal Answer: 101.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [67, 9, 68, 81, 57, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 372/6 = 62.0.\n</reasoning>\nFinal Answer: 62.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mean of: [53, 23, 81, 35, 26, 52, 89, 29, 27, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 430/10 = 43.0.\n</reasoning>\nFinal Answer: 43.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [14, 20, 26, 32, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 14 and common difference 6. Next term = 38 + 6 = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Increase 57 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 20%: 57 × (1 + 20/100) = 57 × 1.2 = 68.4.\n</reasoning>\nFinal Answer: 68.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 28 and 46."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (28×46)/2 = 644.\n</reasoning>\nFinal Answer: 644"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 10/9 - 2/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/9 - 2/12. LCD = 18. Result = 17/18.\n</reasoning>\nFinal Answer: 17/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 915 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 915 × (1 - 7/100) = 915 × 0.9299999999999999 = 850.95.\n</reasoning>\nFinal Answer: 850.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -449 mod 709"
},
{
"role": "assistant",
"content": "<reasoning>\n-449 mod 709: -449 = 709 × -1 + 260, so remainder = 260.\n</reasoning>\nFinal Answer: 260"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [21, 71, 99, 47, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [21, 47, 66, 71, 99]. Middle value(s) → median = 66.\n</reasoning>\nFinal Answer: 66"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 19 = -101"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 10x = -120. Divide by 10: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -813 × 37"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -813 by 37: -813 × 37 = -30081.\n</reasoning>\nFinal Answer: -30081"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [45, 58, 61, 62, 40, 58, 18, 90, 51, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 90 - 18 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -32 = -144"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 16x = -112. Divide by 16: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 * 15 + 41 * 26"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 19×15=285 and 41×26=1066, then add: 1351.\n</reasoning>\nFinal Answer: 1351"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 335 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 335 × (1 + 35/100) = 335 × 1.35 = 452.25.\n</reasoning>\nFinal Answer: 452.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 15 and common difference 12, find the 16th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 15 + (16-1)×12 = 15 + 180 = 195.\n</reasoning>\nFinal Answer: 195"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:8 and A = 16, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/8, so B = A × (8/34) = 16 × 8/34 = 3.7647.\n</reasoning>\nFinal Answer: 3.7647"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 98 km/h. How far does it travel in 6 hours and 7 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 7/60 = 6.1167 hours. Distance = speed × time = 98 × 6.1167 = 599.4333 km.\n</reasoning>\nFinal Answer: 599.4333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [78, 76, 39, 86, 6, 58, 55, 11, 17]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {78: 1, 76: 1, 39: 1, 86: 1, 6: 1, 58: 1, 55: 1, 11: 1, 17: 1}. Most frequent: [78, 76, 39, 86, 6, 58, 55, 11, 17].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (24 + 25) * (10 - 38)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (24+25)=49, (10-38)=-28, then 49×-28=-1372.\n</reasoning>\nFinal Answer: -1372"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -680 ÷ -98"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -680 by -98. -680 ÷ -98 = 6 (integer division).\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -125 ÷ -541"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -125 by -541. -125 ÷ -541 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 30 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 30 = 300 worker-days. New time = 300 / 15 = 20.0 days.\n</reasoning>\nFinal Answer: 20.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 226."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 226 by smallest primes repeatedly: 226 = 2 × 113.\n</reasoning>\nFinal Answer: 2 × 113"
}
] | medium | [
"number_theory",
"prime_factors"
] |
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