messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 21x + 47 = 1055"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 21x = 1008. Divide by 21: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -176 ÷ -157"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -176 by -157. -176 ÷ -157 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 45% of 913?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 913 = (45/100) × 913 = 410.85.\n</reasoning>\nFinal Answer: 410.85"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 159 mod 746"
},
{
"role": "assistant",
"content": "<reasoning>\n159 mod 746: 159 = 746 × 0 + 159, so remainder = 159.\n</reasoning>\nFinal Answer: 159"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [1, 76, 49, 57, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 76 - 1 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Increase 833 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 833 × (1 + 15/100) = 833 × 1.15 = 957.95.\n</reasoning>\nFinal Answer: 957.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 954 mod -830"
},
{
"role": "assistant",
"content": "<reasoning>\n954 mod -830: 954 = -830 × -2 + -706, so remainder = -706.\n</reasoning>\nFinal Answer: -706"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -224 mod -229"
},
{
"role": "assistant",
"content": "<reasoning>\n-224 mod -229: -224 = -229 × 0 + -224, so remainder = -224.\n</reasoning>\nFinal Answer: -224"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 91 and width 56."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(91+56) = 2×147 = 294.\n</reasoning>\nFinal Answer: 294"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 19/17 / 17/9"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/17) ÷ (17/9) = (19/17) × (9/17) = 171/289.\n</reasoning>\nFinal Answer: 171/289"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 + 30 ** 2 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 30²=900, then 22+900-47=875.\n</reasoning>\nFinal Answer: 875"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹40071 at 14% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 40071 × 14 × 5 / 100 = 28049.7.\n</reasoning>\nFinal Answer: 28049.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [9, 6, 100, 11, 74, 67, 88, 85, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 9, 11, 67, 74, 85, 88, 92, 100]. Middle value(s) → median = 74.\n</reasoning>\nFinal Answer: 74"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 46 ** 2 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 46²=2116, then 15+2116-3=2128.\n</reasoning>\nFinal Answer: 2128"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 3/19 * 1/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/19) × (1/13) = (3/247) = 3/247 after simplification.\n</reasoning>\nFinal Answer: 3/247"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [77, 68, 57, 95, 10, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 10 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 4/10 - 16/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/10 - 16/10. LCD = 5. Result = -6/5.\n</reasoning>\nFinal Answer: -6/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -152 mod -381"
},
{
"role": "assistant",
"content": "<reasoning>\n-152 mod -381: -152 = -381 × 0 + -152, so remainder = -152.\n</reasoning>\nFinal Answer: -152"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -415 ÷ 89"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -415 by 89. -415 ÷ 89 = -5 (integer division).\n</reasoning>\nFinal Answer: -5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 73 × 329"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 73 by 329: 73 × 329 = 24017.\n</reasoning>\nFinal Answer: 24017"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -169 × 427"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -169 by 427: -169 × 427 = -72163.\n</reasoning>\nFinal Answer: -72163"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [15, 17, 33, 98, 56, 84, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 396/7 = 56.5714.\n</reasoning>\nFinal Answer: 56.5714"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 34 and 174."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(34,174) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Given A = [11, 12, 17, 18] and B = [2, 3, 5, 8, 10, 15, 17, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [17].\n</reasoning>\nFinal Answer: [17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 4 and height 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 4 × 44 = 88.0.\n</reasoning>\nFinal Answer: 88.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 6, 10, 13, 14, 16] and B = [14, 17, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 4, 6, 10, 13, 16].\n</reasoning>\nFinal Answer: [1, 4, 6, 10, 13, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [59, 86, 75, 16, 27, 45, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 86 - 16 = 70.\n</reasoning>\nFinal Answer: 70"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -8 = 307"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 9x = 315. Divide by 9: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 5/14 - 16/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/14 - 16/18. LCD = 126. Result = -67/126.\n</reasoning>\nFinal Answer: -67/126"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 17% of 545?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 545 = (17/100) × 545 = 92.65.\n</reasoning>\nFinal Answer: 92.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 406 + 617"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 406 and 617: 406 + 617 = 1023.\n</reasoning>\nFinal Answer: 1023"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -478 mod -780"
},
{
"role": "assistant",
"content": "<reasoning>\n-478 mod -780: -478 = -780 × 0 + -478, so remainder = -478.\n</reasoning>\nFinal Answer: -478"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:14 and A = 88, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/14, so B = A × (14/2) = 88 × 14/2 = 616.0.\n</reasoning>\nFinal Answer: 616.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 8 and height 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 8 × 16 = 64.0.\n</reasoning>\nFinal Answer: 64.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 45 = -180"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 15x = -225. Divide by 15: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [84, 56, 79, 8, 78, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 395/6 = 65.8333.\n</reasoning>\nFinal Answer: 65.8333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 64."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 64 by smallest primes repeatedly: 64 = 2 × 2 × 2 × 2 × 2 × 2.\n</reasoning>\nFinal Answer: 2 × 2 × 2 × 2 × 2 × 2"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: 508 × 273"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 508 by 273: 508 × 273 = 138684.\n</reasoning>\nFinal Answer: 138684"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-57)x + (270) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -57² - 4×3×270 = 9. √discriminant = 3. x = (-(-57) ± 3) / (2×3). Solutions: x = 10 or x = 9.\n</reasoning>\nFinal Answer: x = 10 or x = 9"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 87 and width 3."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 87 × 3 = 261.\n</reasoning>\nFinal Answer: 261"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 9 * 48 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 9×48=432, then 31+432-28=435.\n</reasoning>\nFinal Answer: 435"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [8, 10, 15, 16] and B = [4, 5, 6, 7, 11, 14, 16, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [4, 5, 6, 7, 8, 10, 11, 14, 15, 16, 18].\n</reasoning>\nFinal Answer: [4, 5, 6, 7... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "A train travels at 134 km/h. How far does it travel in 3 hours and 2 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 2/60 = 3.0333 hours. Distance = speed × time = 134 × 3.0333 = 406.4667 km.\n</reasoning>\nFinal Answer: 406.4667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 33 = 152"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 7x = 119. Divide by 7: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 + 4 ** 2 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 4²=16, then 35+16-14=37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 2 = 1022"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 30x = 1020. Divide by 30: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 72."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 72 = 288.\n</reasoning>\nFinal Answer: 288"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -693 × -959"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -693 by -959: -693 × -959 = 664587.\n</reasoning>\nFinal Answer: 664587"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 * 11 + 23 * 25"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 26×11=286 and 23×25=575, then add: 861.\n</reasoning>\nFinal Answer: 861"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 113 apples and buys 155 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 113 + 155 = 268.\n</reasoning>\nFinal Answer: 268"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 20 ** 2 - 36"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 20²=400, then 46+400-36=410.\n</reasoning>\nFinal Answer: 410"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 49 * 25 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 49×25=1225, then 21+1225-39=1207.\n</reasoning>\nFinal Answer: 1207"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [3, 6, 18] and B = [2, 3, 6, 15, 16, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 15, 16, 17, 18].\n</reasoning>\nFinal Answer: [2, 15, 16,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Ravi has 156 apples and buys 11 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 156 + 11 = 167.\n</reasoning>\nFinal Answer: 167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:32 and A = 29, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/32, so B = A × (32/29) = 29 × 32/29 = 32.0.\n</reasoning>\nFinal Answer: 32.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -29 = -131"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 6x = -102. Divide by 6: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -40 = 52"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 2x = 92. Divide by 2: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 5 ** 2 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 5²=25, then 36+25-19=42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 450 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 450 × (1 + 5/100) = 450 × 1.05 = 472.5.\n</reasoning>\nFinal Answer: 472.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 5, 43 and height 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (5+43) × 32 = 768.0.\n</reasoning>\nFinal Answer: 768.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:48 and A = 68, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/48, so B = A × (48/28) = 68 × 48/28 = 116.5714.\n</reasoning>\nFinal Answer: 116.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (48)x + (108) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 48² - 4×4×108 = 576. √discriminant = 24. x = (-(48) ± 24) / (2×4). Solutions: x = -9 or x = -3.\n</reasoning>\nFinal Answer: x = -9 or x = -3"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 37 and height 57."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 37 × 57 = 1054.5.\n</reasoning>\nFinal Answer: 1054.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (1)x + (-56) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 1² - 4×1×-56 = 225. √discriminant = 15. x = (-(1) ± 15) / (2×1). Solutions: x = -8 or x = 7.\n</reasoning>\nFinal Answer: x = -8 or x = 7"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 732 × -991"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 732 by -991: 732 × -991 = -725412.\n</reasoning>\nFinal Answer: -725412"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 35% of 795?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 795 = (35/100) × 795 = 278.25.\n</reasoning>\nFinal Answer: 278.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [11, 87, 78, 58, 24, 28, 30, 26, 16, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 11, 16, 24, 26, 28, 30, 58, 78, 87]. Middle value(s) → median = 27.0.\n</reasoning>\nFinal Answer: 27.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [7, 14, 17, 19] and B = [1, 5, 6, 10, 11, 12, 16], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [7, 14, 17, 19].\n</reasoning>\nFinal Answer: [7, 14, 17, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "What is 25% of 889?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 889 = (25/100) × 889 = 222.25.\n</reasoning>\nFinal Answer: 222.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -412 mod 346"
},
{
"role": "assistant",
"content": "<reasoning>\n-412 mod 346: -412 = 346 × -2 + 280, so remainder = 280.\n</reasoning>\nFinal Answer: 280"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 665 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 665 × (1 + 3/100) = 665 × 1.03 = 684.95.\n</reasoning>\nFinal Answer: 684.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 48 and height 91."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 48 × 91 = 2184.0.\n</reasoning>\nFinal Answer: 2184.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 93 and height 57."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 93 × 57 = 5301.\n</reasoning>\nFinal Answer: 5301"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-28)x + (80) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -28² - 4×2×80 = 144. √discriminant = 12. x = (-(-28) ± 12) / (2×2). Solutions: x = 10 or x = 4.\n</reasoning>\nFinal Answer: x = 10 or x = 4"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 19 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 19 = 171 worker-days. New time = 171 / 11 = 15.5455 days.\n</reasoning>\nFinal Answer: 15.5455"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 144 km/h. How far does it travel in 9 hours and 15 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 15/60 = 9.2500 hours. Distance = speed × time = 144 × 9.2500 = 1332.0 km.\n</reasoning>\nFinal Answer: 1332.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 10 ** 2 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 10²=100, then 38+100-20=118.\n</reasoning>\nFinal Answer: 118"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:37 and A = 70, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/37, so B = A × (37/44) = 70 × 37/44 = 58.8636.\n</reasoning>\nFinal Answer: 58.8636"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 1 ** 2 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 1²=1, then 3+1-12=-8.\n</reasoning>\nFinal Answer: -8"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 17 + 437"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 17 and 437: 17 + 437 = 454.\n</reasoning>\nFinal Answer: 454"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -484 mod 595"
},
{
"role": "assistant",
"content": "<reasoning>\n-484 mod 595: -484 = 595 × -1 + 111, so remainder = 111.\n</reasoning>\nFinal Answer: 111"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -15 = 156"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 19x = 171. Divide by 19: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [87, 15, 50, 14, 5, 91, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 355/7 = 50.7143.\n</reasoning>\nFinal Answer: 50.7143"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -720 × 229"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -720 by 229: -720 × 229 = -164880.\n</reasoning>\nFinal Answer: -164880"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 47, 1 and height 49."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (47+1) × 49 = 1176.0.\n</reasoning>\nFinal Answer: 1176.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:34 and A = 13, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/34, so B = A × (34/42) = 13 × 34/42 = 10.5238.\n</reasoning>\nFinal Answer: 10.5238"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -153 - 540"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 540 from -153: -153 - 540 = -693.\n</reasoning>\nFinal Answer: -693"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-20)x + (-160) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -20² - 4×5×-160 = 3600. √discriminant = 60. x = (-(-20) ± 60) / (2×5). Solutions: x = 8 or x = -4.\n</reasoning>\nFinal Answer: x = 8 or x = ... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 4 mod -164"
},
{
"role": "assistant",
"content": "<reasoning>\n4 mod -164: 4 = -164 × -1 + -160, so remainder = -160.\n</reasoning>\nFinal Answer: -160"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -57 × 171"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -57 by 171: -57 × 171 = -9747.\n</reasoning>\nFinal Answer: -9747"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -925 ÷ -176"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -925 by -176. -925 ÷ -176 = 5 (integer division).\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 298 km apart. Their speeds are 119 km/h and 111 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 119+111=230 km/h. Time = 298/230 = 1.2957 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:43 and A = 43, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/43, so B = A × (43/23) = 43 × 43/23 = 80.3913.\n</reasoning>\nFinal Answer: 80.3913"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 16 = 616"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 30x = 600. Divide by 30: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 79 and width 47."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 79 × 47 = 3713.\n</reasoning>\nFinal Answer: 3713"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 777 mod 695"
},
{
"role": "assistant",
"content": "<reasoning>\n777 mod 695: 777 = 695 × 1 + 82, so remainder = 82.\n</reasoning>\nFinal Answer: 82"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -10 + -472"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -10 and -472: -10 + -472 = -482.\n</reasoning>\nFinal Answer: -482"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 20 and common difference 3, find the 41th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 20 + (41-1)×3 = 20 + 120 = 140.\n</reasoning>\nFinal Answer: 140"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -37 = -207"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 10x = -170. Divide by 10: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 16 = 664"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 24x = 648. Divide by 24: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.