messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "If the ratio of A to B is 22:17 and A = 19, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/17, so B = A × (17/22) = 19 × 17/22 = 14.6818.\n</reasoning>\nFinal Answer: 14.6818"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -714 × -876"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -714 by -876: -714 × -876 = 625464.\n</reasoning>\nFinal Answer: 625464"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 + 2 * 14 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 2×14=28, then 26+28-25=29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 7 and width 50."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(7+50) = 2×57 = 114.\n</reasoning>\nFinal Answer: 114"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [1, 6, 9, 12, 15, 16, 18, 19] and B = [7, 8, 10, 14, 16, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 6, 9, 12, 15, 18].\n</reasoning>\nFinal Answer: [1, 6, 9, 12, 15,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -707 ÷ 473"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -707 by 473. -707 ÷ 473 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:17 and A = 71, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/17, so B = A × (17/18) = 71 × 17/18 = 67.0556.\n</reasoning>\nFinal Answer: 67.0556"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -836 - 493"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 493 from -836: -836 - 493 = -1329.\n</reasoning>\nFinal Answer: -1329"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 476 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 476 × (1 + 3/100) = 476 × 1.03 = 490.28.\n</reasoning>\nFinal Answer: 490.28"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [10, 46, 48, 30, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 48 - 10 = 38.\n</reasoning>\nFinal Answer: 38"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "What is 35% of 536?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 536 = (35/100) × 536 = 187.6.\n</reasoning>\nFinal Answer: 187.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [64, 73, 40, 50, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {64: 1, 73: 1, 40: 1, 50: 1, 53: 1}. Most frequent: [64, 73, 40, 50, 53].\n</reasoning>\nFinal Answer: [64, 73, 40, 50, 53]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:17 and A = 52, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/17, so B = A × (17/9) = 52 × 17/9 = 98.2222.\n</reasoning>\nFinal Answer: 98.2222"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 * 42 + 11 * 39"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 5×42=210 and 11×39=429, then add: 639.\n</reasoning>\nFinal Answer: 639"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -644 + 818"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -644 and 818: -644 + 818 = 174.\n</reasoning>\nFinal Answer: 174"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:43 and A = 4, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/43, so B = A × (43/6) = 4 × 43/6 = 28.6667.\n</reasoning>\nFinal Answer: 28.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [2, 7, 8, 9, 10, 12, 18] and B = [1, 4, 5, 7, 12, 15], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 4, 5, 8, 9, 10, 15, 18].\n</reasoning>\nF... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mean of: [82, 92, 4, 37, 45, 4, 9, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 281/8 = 35.125.\n</reasoning>\nFinal Answer: 35.125"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 106 × 705"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 106 by 705: 106 × 705 = 74730.\n</reasoning>\nFinal Answer: 74730"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 184 apples and buys 56 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 184 + 56 = 240.\n</reasoning>\nFinal Answer: 240"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "64 is what percentage of 366?"
},
{
"role": "assistant",
"content": "<reasoning>\n(64/366) × 100 = 17.4863%.\n</reasoning>\nFinal Answer: 17.4863%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -21 = 15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 1x = 36. Divide by 1: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (8 + 49) * (46 - 13)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (8+49)=57, (46-13)=33, then 57×33=1881.\n</reasoning>\nFinal Answer: 1881"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 13, 32, and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 13 + 32 + 39 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Ravi has 69 apples and buys 99 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 69 + 99 = 168.\n</reasoning>\nFinal Answer: 168"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 319 km apart. Their speeds are 81 km/h and 120 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 81+120=201 km/h. Time = 319/201 = 1.5871 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 100 ÷ 133"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 100 by 133. 100 ÷ 133 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [34, 6, 99, 71, 67, 98, 37, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {34: 1, 6: 1, 99: 1, 71: 1, 67: 1, 98: 1, 37: 1, 81: 1}. Most frequent: [34, 6, 99, 71, 67, 98, 37, 81].\n</reasoning>\nFinal Answer: [34, 6, 99,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 19 = -749"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 24x = -768. Divide by 24: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 26 and 91."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(26,91) = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 * 2 + 21 * 10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 16×2=32 and 21×10=210, then add: 242.\n</reasoning>\nFinal Answer: 242"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -17 = 247"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 8x = 264. Divide by 8: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [30, 70, 12, 22, 68, 35, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 90 - 12 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:14 and A = 56, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/14, so B = A × (14/21) = 56 × 14/21 = 37.3333.\n</reasoning>\nFinal Answer: 37.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹6352 at 16% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 6352 × 16 × 6 / 100 = 6097.92.\n</reasoning>\nFinal Answer: 6097.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 9 days. How many days will 12 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 9 = 153 worker-days. New time = 153 / 12 = 12.75 days.\n</reasoning>\nFinal Answer: 12.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -15 = -771"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 28x = -756. Divide by 28: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [46, 59, 40, 53, 17, 57, 73, 80, 52, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {46: 1, 59: 1, 40: 1, 53: 1, 17: 1, 57: 1, 73: 1, 80: 1, 52: 1, 31: 1}. Most frequent: [46, 59, 40, 53, 17, 57, 73, 80, 52, 31].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 12/10 * 18/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/10) × (18/1) = (216/10) = 108/5 after simplification.\n</reasoning>\nFinal Answer: 108/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 41 and height 87."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 41 × 87 = 1783.5.\n</reasoning>\nFinal Answer: 1783.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 20 = -204"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 14x = -224. Divide by 14: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:35 and A = 26, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/35, so B = A × (35/9) = 26 × 35/9 = 101.1111.\n</reasoning>\nFinal Answer: 101.1111"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 9 = -177"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 6x = -186. Divide by 6: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 11/5 * 2/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/5) × (2/7) = (22/35) = 22/35 after simplification.\n</reasoning>\nFinal Answer: 22/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 23 ** 2 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 23²=529, then 16+529-14=531.\n</reasoning>\nFinal Answer: 531"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 543 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 543 × (1 + 60/100) = 543 × 1.6 = 868.8.\n</reasoning>\nFinal Answer: 868.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 186 apples and buys 70 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 186 + 70 = 256.\n</reasoning>\nFinal Answer: 256"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 18/10 / 13/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/10) ÷ (13/16) = (18/10) × (16/13) = 144/65.\n</reasoning>\nFinal Answer: 144/65"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 15 = -469"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 22x = -484. Divide by 22: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [12, 13, 15] and B = [1, 6, 7, 16], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [12, 13, 15].\n</reasoning>\nFinal Answer: [12, 13, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 36, 8 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (36+8) × 45 = 990.0.\n</reasoning>\nFinal Answer: 990.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (49 + 17) * (33 - 15)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (49+17)=66, (33-15)=18, then 66×18=1188.\n</reasoning>\nFinal Answer: 1188"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 957 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 957 × (1 + 65/100) = 957 × 1.65 = 1579.05.\n</reasoning>\nFinal Answer: 1579.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 9 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 9 × (1 + 75/100) = 9 × 1.75 = 15.75.\n</reasoning>\nFinal Answer: 15.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 887 × -543"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 887 by -543: 887 × -543 = -481641.\n</reasoning>\nFinal Answer: -481641"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 185 × 118"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 185 by 118: 185 × 118 = 21830.\n</reasoning>\nFinal Answer: 21830"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 26, 29, and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 26 + 29 + 35 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -50 = 675"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 29x = 725. Divide by 29: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹45084 at 16% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 45084 × 16 × 5 / 100 = 36067.2.\n</reasoning>\nFinal Answer: 36067.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (72)x + (320) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 72² - 4×4×320 = 64. √discriminant = 8. x = (-(72) ± 8) / (2×4). Solutions: x = -8 or x = -10.\n</reasoning>\nFinal Answer: x = -8 or x = -10"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the mean of: [23, 60, 9, 76, 62, 7, 30, 53, 4, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 369/10 = 36.9.\n</reasoning>\nFinal Answer: 36.9"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "List all positive factors of 36."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 36: factors are [1, 2, 3, 4, 6, 9, 12, 18, 36].\n</reasoning>\nFinal Answer: [1, 2, 3, 4, 6, 9, 12, 18, 36]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Simplify: 19/1 + 2/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/1 + 2/5. Common denominator = 5. Result = 97/5.\n</reasoning>\nFinal Answer: 97/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [69, 42, 85, 87, 80, 2]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 87 - 2 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "193 is what percentage of 609?"
},
{
"role": "assistant",
"content": "<reasoning>\n(193/609) × 100 = 31.6913%.\n</reasoning>\nFinal Answer: 31.6913%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 20, 39 and height 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (20+39) × 44 = 1298.0.\n</reasoning>\nFinal Answer: 1298.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 * 11 + 21 * 3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 12×11=132 and 21×3=63, then add: 195.\n</reasoning>\nFinal Answer: 195"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹47144 at 1% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 47144 × 1 × 5 / 100 = 2357.2.\n</reasoning>\nFinal Answer: 2357.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 101 - 539"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 539 from 101: 101 - 539 = -438.\n</reasoning>\nFinal Answer: -438"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 9/5 / 2/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/5) ÷ (2/12) = (9/5) × (12/2) = 54/5.\n</reasoning>\nFinal Answer: 54/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "116 is what percentage of 333?"
},
{
"role": "assistant",
"content": "<reasoning>\n(116/333) × 100 = 34.8348%.\n</reasoning>\nFinal Answer: 34.8348%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -737 + -874"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -737 and -874: -737 + -874 = -1611.\n</reasoning>\nFinal Answer: -1611"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -32 = -200"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 6x = -168. Divide by 6: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 + 5 * 29 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 5×29=145, then 7+145-6=146.\n</reasoning>\nFinal Answer: 146"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [45, 77, 100, 79, 93, 92, 42, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 42 = 58.\n</reasoning>\nFinal Answer: 58"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -302 ÷ -91"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -302 by -91. -302 ÷ -91 = 3 (integer division).\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/18 * 13/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/18) × (13/17) = (221/306) = 13/18 after simplification.\n</reasoning>\nFinal Answer: 13/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [48, 77, 100, 20, 7, 11, 94, 71, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 480/9 = 53.3333.\n</reasoning>\nFinal Answer: 53.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [7, 20, 33, 46, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 7 and common difference 13. Next term = 59 + 13 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 38 = -472"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 15x = -510. Divide by 15: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 58 apples and buys 88 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 58 + 88 = 146.\n</reasoning>\nFinal Answer: 146"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -3 = 337"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 17x = 340. Divide by 17: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-5)x + (-30) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -5² - 4×5×-30 = 625. √discriminant = 25. x = (-(-5) ± 25) / (2×5). Solutions: x = 3 or x = -2.\n</reasoning>\nFinal Answer: x = 3 or x = -2"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -443 + -931"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -443 and -931: -443 + -931 = -1374.\n</reasoning>\nFinal Answer: -1374"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 32, 29 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (32+29) × 37 = 1128.5.\n</reasoning>\nFinal Answer: 1128.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 40 and width 30."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(40+30) = 2×70 = 140.\n</reasoning>\nFinal Answer: 140"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 24 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 24 = 72 worker-days. New time = 72 / 15 = 4.8 days.\n</reasoning>\nFinal Answer: 4.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 6/13 / 20/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/13) ÷ (20/8) = (6/13) × (8/20) = 12/65.\n</reasoning>\nFinal Answer: 12/65"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 43 = -125"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 7x = -168. Divide by 7: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -935 × -627"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -935 by -627: -935 × -627 = 586245.\n</reasoning>\nFinal Answer: 586245"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 17 * 6 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 17×6=102, then 13+102-29=86.\n</reasoning>\nFinal Answer: 86"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 638 mod 128"
},
{
"role": "assistant",
"content": "<reasoning>\n638 mod 128: 638 = 128 × 4 + 126, so remainder = 126.\n</reasoning>\nFinal Answer: 126"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:49 and A = 83, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/49, so B = A × (49/50) = 83 × 49/50 = 81.34.\n</reasoning>\nFinal Answer: 81.34"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 12 = 832"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 20x = 820. Divide by 20: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -173 + 27"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -173 and 27: -173 + 27 = -146.\n</reasoning>\nFinal Answer: -146"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 8/4 + 12/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/4 + 12/7. Common denominator = 7. Result = 26/7.\n</reasoning>\nFinal Answer: 26/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [89, 98, 55, 100, 40, 29, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 490/7 = 70.0.\n</reasoning>\nFinal Answer: 70.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 18 and height 48."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 18 × 48 = 864.\n</reasoning>\nFinal Answer: 864"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 388 km apart. Their speeds are 43 km/h and 111 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 43+111=154 km/h. Time = 388/154 = 2.5195 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 15/19 + 10/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/19 + 10/10. Common denominator = 19. Result = 34/19.\n</reasoning>\nFinal Answer: 34/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.