messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: (34 + 37) * (23 - 3)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (34+37)=71, (23-3)=20, then 71×20=1420.\n</reasoning>\nFinal Answer: 1420"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -26 = -6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 4x = 20. Divide by 4: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 154 apples and buys 54 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 154 + 54 = 208.\n</reasoning>\nFinal Answer: 208"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 32 ** 2 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 32²=1024, then 23+1024-48=999.\n</reasoning>\nFinal Answer: 999"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -5 = -213"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 13x = -208. Divide by 13: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (27 + 39) * (3 - 49)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (27+39)=66, (3-49)=-46, then 66×-46=-3036.\n</reasoning>\nFinal Answer: -3036"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 91 and width 46."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 91 × 46 = 4186.\n</reasoning>\nFinal Answer: 4186"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "6 workers can complete a job in 5 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 6 × 5 = 30 worker-days. New time = 30 / 9 = 3.3333 days.\n</reasoning>\nFinal Answer: 3.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -878 × -102"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -878 by -102: -878 × -102 = 89556.\n</reasoning>\nFinal Answer: 89556"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 93 km/h. How far does it travel in 11 hours and 52 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 52/60 = 11.8667 hours. Distance = speed × time = 93 × 11.8667 = 1103.6 km.\n</reasoning>\nFinal Answer: 1103.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -970 mod 303"
},
{
"role": "assistant",
"content": "<reasoning>\n-970 mod 303: -970 = 303 × -4 + 242, so remainder = 242.\n</reasoning>\nFinal Answer: 242"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 11/9 + 12/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/9 + 12/14. Common denominator = 63. Result = 131/63.\n</reasoning>\nFinal Answer: 131/63"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 22 and width 90."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(22+90) = 2×112 = 224.\n</reasoning>\nFinal Answer: 224"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [5, 9, 11] and B = [3, 8, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 5, 8, 9, 11, 17].\n</reasoning>\nFinal Answer: [3, 5, 8, 9, 11, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 43 = -57"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 2x = -100. Divide by 2: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 463 ÷ 898"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 463 by 898. 463 ÷ 898 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 145 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 145 × (1 - 35/100) = 145 × 0.65 = 94.25.\n</reasoning>\nFinal Answer: 94.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹980. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 980 × 5/100 = 49.0. Total = 980 + 49.0 = 1029.0.\n</reasoning>\nFinal Answer: 1029.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -61 - 720"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 720 from -61: -61 - 720 = -781.\n</reasoning>\nFinal Answer: -781"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A bag has 2 red and 2 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 2/4 = 0.5.\n</reasoning>\nFinal Answer: 0.5"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:40 and A = 89, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/40, so B = A × (40/43) = 89 × 40/43 = 82.7907.\n</reasoning>\nFinal Answer: 82.7907"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [56, 80, 69, 64, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 80 - 16 = 64.\n</reasoning>\nFinal Answer: 64"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 12/18 + 15/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/18 + 15/18. Common denominator = 6. Result = 3/2.\n</reasoning>\nFinal Answer: 3/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 77 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 77 × (1 + 65/100) = 77 × 1.65 = 127.05.\n</reasoning>\nFinal Answer: 127.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 12/20 * 9/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/20) × (9/18) = (108/360) = 3/10 after simplification.\n</reasoning>\nFinal Answer: 3/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹38476 at 11% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 38476 × 11 × 8 / 100 = 33858.88.\n</reasoning>\nFinal Answer: 33858.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 + 17 ** 2 - 10"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 17²=289, then 26+289-10=305.\n</reasoning>\nFinal Answer: 305"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -30 = -630"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 25x = -600. Divide by 25: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:46 and A = 65, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/46, so B = A × (46/46) = 65 × 46/46 = 65.0.\n</reasoning>\nFinal Answer: 65.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 195 km/h. How far does it travel in 2 hours and 18 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 18/60 = 2.3000 hours. Distance = speed × time = 195 × 2.3000 = 448.5 km.\n</reasoning>\nFinal Answer: 448.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [77, 10, 2, 46, 35, 75, 42, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 77 - 2 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -13 = 59"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 18x = 72. Divide by 18: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 3 = -33"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 12x = -36. Divide by 12: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 26, 27, and 28."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 26 + 27 + 28 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -860 mod 30"
},
{
"role": "assistant",
"content": "<reasoning>\n-860 mod 30: -860 = 30 × -29 + 10, so remainder = 10.\n</reasoning>\nFinal Answer: 10"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 110 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 110 × (1 - 7/100) = 110 × 0.9299999999999999 = 102.3.\n</reasoning>\nFinal Answer: 102.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 35 and width 65."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 35 × 65 = 2275.\n</reasoning>\nFinal Answer: 2275"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 22 = 246"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 28x = 224. Divide by 28: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 + 26 ** 2 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 26²=676, then 14+676-6=684.\n</reasoning>\nFinal Answer: 684"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 76 and height 6."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 76 × 6 = 456.\n</reasoning>\nFinal Answer: 456"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 31 ** 2 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 31²=961, then 11+961-44=928.\n</reasoning>\nFinal Answer: 928"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [25, 93, 95, 1, 49, 34, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 1 = 94.\n</reasoning>\nFinal Answer: 94"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 48, 14 and height 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (48+14) × 42 = 1302.0.\n</reasoning>\nFinal Answer: 1302.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 363 × -809"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 363 by -809: 363 × -809 = -293667.\n</reasoning>\nFinal Answer: -293667"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 + 37 ** 2 - 18"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 37²=1369, then 7+1369-18=1358.\n</reasoning>\nFinal Answer: 1358"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -1 = 755"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 27x = 756. Divide by 27: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹26578 at 3% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 26578 × 3 × 4 / 100 = 3189.36.\n</reasoning>\nFinal Answer: 3189.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 * 3 + 47 * 36"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 37×3=111 and 47×36=1692, then add: 1803.\n</reasoning>\nFinal Answer: 1803"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [8, 14, 15, 18] and B = [3, 4, 7, 9, 14, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 4, 7, 8, 9, 14, 15, 18].\n</reasoning>\nFinal Answer: [3, 4, 7, 8, 9, 14, 15, 18]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 * 13 + 47 * 43"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 49×13=637 and 47×43=2021, then add: 2658.\n</reasoning>\nFinal Answer: 2658"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [35, 57, 100, 64, 41, 26, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 26 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the median of: [68, 8, 32, 88, 44, 84, 34, 26, 23, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 19, 23, 26, 32, 34, 44, 68, 84, 88]. Middle value(s) → median = 33.0.\n</reasoning>\nFinal Answer: 33.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 213 mod -6"
},
{
"role": "assistant",
"content": "<reasoning>\n213 mod -6: 213 = -6 × -36 + -3, so remainder = -3.\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -2 = 408"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -2 from both sides: 10x = 410. Divide by 10: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 11 ÷ -255"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 11 by -255. 11 ÷ -255 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [42, 55, 1, 2, 39, 69, 74, 41, 35, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 2, 35, 39, 41, 42, 43, 55, 69, 74]. Middle value(s) → median = 41.5.\n</reasoning>\nFinal Answer: 41.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 19/11 * 19/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/11) × (19/4) = (361/44) = 361/44 after simplification.\n</reasoning>\nFinal Answer: 361/44"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 560 mod -404"
},
{
"role": "assistant",
"content": "<reasoning>\n560 mod -404: 560 = -404 × -2 + -248, so remainder = -248.\n</reasoning>\nFinal Answer: -248"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -807 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from -807: -807 - 44 = -851.\n</reasoning>\nFinal Answer: -851"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 912 × 686"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 912 by 686: 912 × 686 = 625632.\n</reasoning>\nFinal Answer: 625632"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 79 and height 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 79 × 15 = 1185.\n</reasoning>\nFinal Answer: 1185"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 198 and 48."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(198,48) = 6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the median of: [74, 50, 91, 82, 67, 54, 33, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [33, 50, 54, 67, 74, 77, 82, 91]. Middle value(s) → median = 70.5.\n</reasoning>\nFinal Answer: 70.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 29, 32, and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 29 + 32 + 36 = 97.\n</reasoning>\nFinal Answer: 97"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 14 = 102"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 11x = 88. Divide by 11: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 70 apples and buys 145 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 70 + 145 = 215.\n</reasoning>\nFinal Answer: 215"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a circle with radius 28. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nArea = π × r² = π × 28² = π × 784 ≈ 2463.0086.\n</reasoning>\nFinal Answer: 2463.0086"
}
] | medium | [
"geometry",
"area",
"circle"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 45 = -738"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 27x = -783. Divide by 27: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 909 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 909 × (1 + 25/100) = 909 × 1.25 = 1136.25.\n</reasoning>\nFinal Answer: 1136.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -268 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from -268: -268 - 4 = -272.\n</reasoning>\nFinal Answer: -272"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/17 + 8/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/17 + 8/9. Common denominator = 153. Result = 145/153.\n</reasoning>\nFinal Answer: 145/153"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "279 is what percentage of 903?"
},
{
"role": "assistant",
"content": "<reasoning>\n(279/903) × 100 = 30.897%.\n</reasoning>\nFinal Answer: 30.897%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the range of: [91, 86, 14, 66, 72, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 14 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 * 18 + 37 * 45"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 40×18=720 and 37×45=1665, then add: 2385.\n</reasoning>\nFinal Answer: 2385"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 419 km apart. Their speeds are 96 km/h and 64 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 96+64=160 km/h. Time = 419/160 = 2.6187 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 124 apples and buys 144 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 124 + 144 = 268.\n</reasoning>\nFinal Answer: 268"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [23, 42, 61, 80, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 23 and common difference 19. Next term = 99 + 19 = 118.\n</reasoning>\nFinal Answer: 118"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 455 ÷ 222"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 455 by 222. 455 ÷ 222 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 40 = -30"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 10x = -70. Divide by 10: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 8/9 + 20/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/9 + 20/10. Common denominator = 9. Result = 26/9.\n</reasoning>\nFinal Answer: 26/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -8 = -578"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 19x = -570. Divide by 19: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 28 and height 30."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 28 × 30 = 420.0.\n</reasoning>\nFinal Answer: 420.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [5, 85, 85, 41, 98, 8, 59, 12, 18, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 8, 12, 18, 29, 41, 59, 85, 85, 98]. Middle value(s) → median = 35.0.\n</reasoning>\nFinal Answer: 35.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 24, 43 and height 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (24+43) × 10 = 335.0.\n</reasoning>\nFinal Answer: 335.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 19, 32 and height 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (19+32) × 24 = 612.0.\n</reasoning>\nFinal Answer: 612.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹14111 at 4% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 14111 × 4 × 5 / 100 = 2822.2.\n</reasoning>\nFinal Answer: 2822.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -215 × -519"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -215 by -519: -215 × -519 = 111585.\n</reasoning>\nFinal Answer: 111585"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 706 km apart. Their speeds are 60 km/h and 103 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 60+103=163 km/h. Time = 706/163 = 4.3313 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 6/20 / 6/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/20) ÷ (6/20) = (6/20) × (20/6) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 12 and common difference 4, find the 29th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 12 + (29-1)×4 = 12 + 112 = 124.\n</reasoning>\nFinal Answer: 124"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-90)x + (400) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -90² - 4×5×400 = 100. √discriminant = 10. x = (-(-90) ± 10) / (2×5). Solutions: x = 8 or x = 10.\n</reasoning>\nFinal Answer: x = 8 or x = 10"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 45 and height 59."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 45 × 59 = 2655.\n</reasoning>\nFinal Answer: 2655"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 2/12 * 19/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/12) × (19/3) = (38/36) = 19/18 after simplification.\n</reasoning>\nFinal Answer: 19/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 59 apples and buys 20 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 59 + 20 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -652 × -469"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -652 by -469: -652 × -469 = 305788.\n</reasoning>\nFinal Answer: 305788"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 183 - -163"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -163 from 183: 183 - -163 = 346.\n</reasoning>\nFinal Answer: 346"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -28 = -235"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 23x = -207. Divide by 23: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "20 workers can complete a job in 14 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 20 × 14 = 280 worker-days. New time = 280 / 2 = 140.0 days.\n</reasoning>\nFinal Answer: 140.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 140 apples and buys 43 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 140 + 43 = 183.\n</reasoning>\nFinal Answer: 183"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 7/16 / 7/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/16) ÷ (7/6) = (7/16) × (6/7) = 3/8.\n</reasoning>\nFinal Answer: 3/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
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