messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -116 ÷ -118"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -116 by -118. -116 ÷ -118 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -439 + -187"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -439 and -187: -439 + -187 = -626.\n</reasoning>\nFinal Answer: -626"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [35, 49, 86, 51, 26, 6, 37, 57, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 23, 26, 35, 37, 49, 51, 57, 86]. Middle value(s) → median = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -376 + -474"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -376 and -474: -376 + -474 = -850.\n</reasoning>\nFinal Answer: -850"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/9 / 13/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/9) ÷ (13/5) = (6/9) × (5/13) = 10/39.\n</reasoning>\nFinal Answer: 10/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 2/13 / 15/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/13) ÷ (15/11) = (2/13) × (11/15) = 22/195.\n</reasoning>\nFinal Answer: 22/195"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 41 and width 2."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(41+2) = 2×43 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:39 and A = 63, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/39, so B = A × (39/7) = 63 × 39/7 = 351.0.\n</reasoning>\nFinal Answer: 351.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:22 and A = 35, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/22, so B = A × (22/4) = 35 × 22/4 = 192.5.\n</reasoning>\nFinal Answer: 192.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (12)x + (-72) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 12² - 4×4×-72 = 1296. √discriminant = 36. x = (-(12) ± 36) / (2×4). Solutions: x = 3 or x = -6.\n</reasoning>\nFinal Answer: x = 3 or x = -6"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -44 = 124"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 6x = 168. Divide by 6: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate: 4^6"
},
{
"role": "assistant",
"content": "<reasoning>\n4^6 = 4 × 4 × 4 × 4 × 4 × 4 = 4096.\n</reasoning>\nFinal Answer: 4096"
}
] | easy | [
"exponents"
] |
[
{
"role": "user",
"content": "Find the median of: [84, 6, 92, 63, 56, 78, 28, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 16, 28, 56, 63, 78, 84, 92]. Middle value(s) → median = 59.5.\n</reasoning>\nFinal Answer: 59.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 56 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 56 × 11 = 308.0.\n</reasoning>\nFinal Answer: 308.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 9 = 84"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 15x = 75. Divide by 15: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 42, 49 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (42+49) × 2 = 91.0.\n</reasoning>\nFinal Answer: 91.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 16, 31, and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 16 + 31 + 40 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 + 11 * 15 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 11×15=165, then 5+165-29=141.\n</reasoning>\nFinal Answer: 141"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 43 = 115"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 24x = 72. Divide by 24: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 12/4 - 17/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/4 - 17/15. LCD = 15. Result = 28/15.\n</reasoning>\nFinal Answer: 28/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [99, 93, 40, 65, 64, 77, 12, 29, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {99: 1, 93: 1, 40: 1, 65: 1, 64: 1, 77: 1, 12: 1, 29: 1, 11: 1}. Most frequent: [99, 93, 40, 65, 64, 77, 12, 29, 11].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 4/2 + 11/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/2 + 11/17. Common denominator = 17. Result = 45/17.\n</reasoning>\nFinal Answer: 45/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the square root of 324."
},
{
"role": "assistant",
"content": "<reasoning>\n√324 = 18 because 18² = 324.\n</reasoning>\nFinal Answer: 18"
}
] | easy | [
"roots",
"exponents"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 19, 20, and 27."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 19 + 20 + 27 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -24 = 96"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 6x = 120. Divide by 6: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -41 = 445"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 18x = 486. Divide by 18: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:40 and A = 38, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/40, so B = A × (40/32) = 38 × 40/32 = 47.5.\n</reasoning>\nFinal Answer: 47.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 91 and width 81."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 91 × 81 = 7371.\n</reasoning>\nFinal Answer: 7371"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 170 km/h. How far does it travel in 2 hours and 34 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 34/60 = 2.5667 hours. Distance = speed × time = 170 × 2.5667 = 436.3333 km.\n</reasoning>\nFinal Answer: 436.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [10, 96, 40, 19, 88, 3, 39, 21, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 3 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 10/17 - 20/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/17 - 20/15. LCD = 51. Result = -38/51.\n</reasoning>\nFinal Answer: -38/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [20, 73, 91, 12, 20, 89, 49, 79, 97, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {20: 2, 73: 1, 91: 1, 12: 1, 89: 2, 49: 1, 79: 1, 97: 1}. Most frequent: [20, 89].\n</reasoning>\nFinal Answer: [20, 89]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -24 = 88"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 7x = 112. Divide by 7: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [10, 45, 76, 74, 11, 96, 46, 16, 42, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 11, 16, 42, 45, 46, 52, 74, 76, 96]. Middle value(s) → median = 45.5.\n</reasoning>\nFinal Answer: 45.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 + 46 * 15 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 46×15=690, then 14+690-6=698.\n</reasoning>\nFinal Answer: 698"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 8 and width 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(8+37) = 2×45 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 481 ÷ 358"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 481 by 358. 481 ÷ 358 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 9 and 32."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (9×32)/1 = 288.\n</reasoning>\nFinal Answer: 288"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 7 = -413"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 28x = -420. Divide by 28: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 * 42 + 39 * 12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 45×42=1890 and 39×12=468, then add: 2358.\n</reasoning>\nFinal Answer: 2358"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (6 + 41) * (21 - 26)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (6+41)=47, (21-26)=-5, then 47×-5=-235.\n</reasoning>\nFinal Answer: -235"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:13 and A = 44, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/13, so B = A × (13/3) = 44 × 13/3 = 190.6667.\n</reasoning>\nFinal Answer: 190.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹14476 at 7% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 14476 × 7 × 8 / 100 = 8106.56.\n</reasoning>\nFinal Answer: 8106.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:34 and A = 22, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/34, so B = A × (34/8) = 22 × 34/8 = 93.5.\n</reasoning>\nFinal Answer: 93.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -620 mod 810"
},
{
"role": "assistant",
"content": "<reasoning>\n-620 mod 810: -620 = 810 × -1 + 190, so remainder = 190.\n</reasoning>\nFinal Answer: 190"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹5031 at 4% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 5031 × 4 × 8 / 100 = 1609.92.\n</reasoning>\nFinal Answer: 1609.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Is 14 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n14 = 2 × 7, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 163 and 71."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(163,71) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 18/3 - 17/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/3 - 17/16. LCD = 16. Result = 79/16.\n</reasoning>\nFinal Answer: 79/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 811 + -757"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 811 and -757: 811 + -757 = 54.\n</reasoning>\nFinal Answer: 54"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [22, 88, 97, 18, 61, 41, 47, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {22: 1, 88: 1, 97: 1, 18: 1, 61: 1, 41: 1, 47: 1, 94: 1}. Most frequent: [22, 88, 97, 18, 61, 41, 47, 94].\n</reasoning>\nFinal Answer: [22, 88,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 10 and common difference 9, find the 17th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 10 + (17-1)×9 = 10 + 144 = 154.\n</reasoning>\nFinal Answer: 154"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 261 × -239"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 261 by -239: 261 × -239 = -62379.\n</reasoning>\nFinal Answer: -62379"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:24 and A = 69, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/24, so B = A × (24/44) = 69 × 24/44 = 37.6364.\n</reasoning>\nFinal Answer: 37.6364"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-3)x + (-168) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -3² - 4×3×-168 = 2025. √discriminant = 45. x = (-(-3) ± 45) / (2×3). Solutions: x = -7 or x = 8.\n</reasoning>\nFinal Answer: x = -7 or x = 8"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 7/9 / 19/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/9) ÷ (19/19) = (7/9) × (19/19) = 7/9.\n</reasoning>\nFinal Answer: 7/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 14 * 16 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 14×16=224, then 31+224-45=210.\n</reasoning>\nFinal Answer: 210"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 55 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 55 × (1 - 40/100) = 55 × 0.6 = 33.0.\n</reasoning>\nFinal Answer: 33.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [6, 24, 42, 60, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 6 and common difference 18. Next term = 78 + 18 = 96.\n</reasoning>\nFinal Answer: 96"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 11/7 * 20/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/7) × (20/1) = (220/7) = 220/7 after simplification.\n</reasoning>\nFinal Answer: 220/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 179 km/h. How far does it travel in 12 hours and 32 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 32/60 = 12.5333 hours. Distance = speed × time = 179 × 12.5333 = 2243.4667 km.\n</reasoning>\nFinal Answer: 2243.4667"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (46 + 18) * (16 - 46)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (46+18)=64, (16-46)=-30, then 64×-30=-1920.\n</reasoning>\nFinal Answer: -1920"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 5, 45 and height 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (5+45) × 33 = 825.0.\n</reasoning>\nFinal Answer: 825.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 690 ÷ 595"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 690 by 595. 690 ÷ 595 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -859 × 881"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -859 by 881: -859 × 881 = -756779.\n</reasoning>\nFinal Answer: -756779"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 19/11 * 2/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/11) × (2/15) = (38/165) = 38/165 after simplification.\n</reasoning>\nFinal Answer: 38/165"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -15 = 444"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 17x = 459. Divide by 17: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹2202 at 1% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 2202 × 1 × 7 / 100 = 154.14.\n</reasoning>\nFinal Answer: 154.14"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 216 - -42"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from 216: 216 - -42 = 258.\n</reasoning>\nFinal Answer: 258"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 212 + -803"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 212 and -803: 212 + -803 = -591.\n</reasoning>\nFinal Answer: -591"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/9 * 4/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/9) × (4/9) = (12/81) = 4/27 after simplification.\n</reasoning>\nFinal Answer: 4/27"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 807 + 954"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 807 and 954: 807 + 954 = 1761.\n</reasoning>\nFinal Answer: 1761"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 99 km/h. How far does it travel in 10 hours and 47 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 47/60 = 10.7833 hours. Distance = speed × time = 99 × 10.7833 = 1067.55 km.\n</reasoning>\nFinal Answer: 1067.55"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [94, 57, 23, 1, 62, 72, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 23, 57, 62, 72, 75, 94]. Middle value(s) → median = 62.\n</reasoning>\nFinal Answer: 62"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "An item costs ₹3537. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3537 × 18/100 = 636.66. Total = 3537 + 636.66 = 4173.66.\n</reasoning>\nFinal Answer: 4173.66"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 + 37 * 2 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 37×2=74, then 26+74-15=85.\n</reasoning>\nFinal Answer: 85"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -645 ÷ 230"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -645 by 230. -645 ÷ 230 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [11, 51, 75, 49, 47, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 90 - 11 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Increase 308 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 308 × (1 + 15/100) = 308 × 1.15 = 354.2.\n</reasoning>\nFinal Answer: 354.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -488 + 514"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -488 and 514: -488 + 514 = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹42941 at 1% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 42941 × 1 × 1 / 100 = 429.41.\n</reasoning>\nFinal Answer: 429.41"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 84 × -765"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 84 by -765: 84 × -765 = -64260.\n</reasoning>\nFinal Answer: -64260"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -24 = -120"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 16x = -96. Divide by 16: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 150 and 57."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(150,57) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 382 × -533"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 382 by -533: 382 × -533 = -203606.\n</reasoning>\nFinal Answer: -203606"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -34 = -1084"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 25x = -1050. Divide by 25: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 20 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 20 = 260 worker-days. New time = 260 / 19 = 13.6842 days.\n</reasoning>\nFinal Answer: 13.6842"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (7 + 9) * (4 - 6)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (7+9)=16, (4-6)=-2, then 16×-2=-32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 31 and width 30."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 31 × 30 = 930.\n</reasoning>\nFinal Answer: 930"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹4890. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4890 × 28/100 = 1369.2. Total = 4890 + 1369.2 = 6259.2.\n</reasoning>\nFinal Answer: 6259.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 7/16 / 15/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/16) ÷ (15/3) = (7/16) × (3/15) = 7/80.\n</reasoning>\nFinal Answer: 7/80"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -768 - 785"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 785 from -768: -768 - 785 = -1553.\n</reasoning>\nFinal Answer: -1553"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "22 is what percentage of 167?"
},
{
"role": "assistant",
"content": "<reasoning>\n(22/167) × 100 = 13.1737%.\n</reasoning>\nFinal Answer: 13.1737%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 95 and height 82."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 95 × 82 = 7790.\n</reasoning>\nFinal Answer: 7790"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [6, 43, 14, 40, 86, 9, 94, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 9, 14, 40, 43, 52, 86, 94]. Middle value(s) → median = 41.5.\n</reasoning>\nFinal Answer: 41.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 19 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 19 = 209 worker-days. New time = 209 / 13 = 16.0769 days.\n</reasoning>\nFinal Answer: 16.0769"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 96 and width 6."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(96+6) = 2×102 = 204.\n</reasoning>\nFinal Answer: 204"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -32 = -824"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 22x = -792. Divide by 22: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 13, 28 and height 23."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (13+28) × 23 = 471.5.\n</reasoning>\nFinal Answer: 471.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 164 km/h. How far does it travel in 11 hours and 9 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 9/60 = 11.1500 hours. Distance = speed × time = 164 × 11.1500 = 1828.6 km.\n</reasoning>\nFinal Answer: 1828.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
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