messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 14x + 29 = -97"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 14x = -126. Divide by 14: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -816 + -103"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -816 and -103: -816 + -103 = -919.\n</reasoning>\nFinal Answer: -919"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 17% of 790?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 790 = (17/100) × 790 = 134.3.\n</reasoning>\nFinal Answer: 134.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 999 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 999 × (1 + 12/100) = 999 × 1.12 = 1118.88.\n</reasoning>\nFinal Answer: 1118.88"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 178 mod 493"
},
{
"role": "assistant",
"content": "<reasoning>\n178 mod 493: 178 = 493 × 0 + 178, so remainder = 178.\n</reasoning>\nFinal Answer: 178"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:19 and A = 63, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/19, so B = A × (19/8) = 63 × 19/8 = 149.625.\n</reasoning>\nFinal Answer: 149.625"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 85 apples and buys 11 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 85 + 11 = 96.\n</reasoning>\nFinal Answer: 96"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -42 = 372"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 18x = 414. Divide by 18: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 26 ** 2 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 26²=676, then 42+676-41=677.\n</reasoning>\nFinal Answer: 677"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:39 and A = 9, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/39, so B = A × (39/13) = 9 × 39/13 = 27.0.\n</reasoning>\nFinal Answer: 27.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 3 = 273"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 10x = 270. Divide by 10: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -49 = 467"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 12x = 516. Divide by 12: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 31, 12 and height 1."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (31+12) × 1 = 21.5.\n</reasoning>\nFinal Answer: 21.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 24, 33, and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 24 + 33 + 38 = 95.\n</reasoning>\nFinal Answer: 95"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 4, 48 and height 40."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (4+48) × 40 = 1040.0.\n</reasoning>\nFinal Answer: 1040.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:20 and A = 54, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/20, so B = A × (20/5) = 54 × 20/5 = 216.0.\n</reasoning>\nFinal Answer: 216.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 153 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 = 153 × 12.5333 = 1917.6 km.\n</reasoning>\nFinal Answer: 1917.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 34."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 34 by smallest primes repeatedly: 34 = 2 × 17.\n</reasoning>\nFinal Answer: 2 × 17"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "586 is what percentage of 717?"
},
{
"role": "assistant",
"content": "<reasoning>\n(586/717) × 100 = 81.7294%.\n</reasoning>\nFinal Answer: 81.7294%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 448 mod -803"
},
{
"role": "assistant",
"content": "<reasoning>\n448 mod -803: 448 = -803 × -1 + -355, so remainder = -355.\n</reasoning>\nFinal Answer: -355"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 19 = -31"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 10x = -50. Divide by 10: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 3/17 - 10/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/17 - 10/5. LCD = 17. Result = -31/17.\n</reasoning>\nFinal Answer: -31/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 159 apples and buys 125 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 159 + 125 = 284.\n</reasoning>\nFinal Answer: 284"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 20 = -588"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 16x = -608. Divide by 16: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [37, 38, 74, 100, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [37, 38, 74, 81, 100]. Middle value(s) → median = 74.\n</reasoning>\nFinal Answer: 74"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 84 + 791"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 84 and 791: 84 + 791 = 875.\n</reasoning>\nFinal Answer: 875"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 10/20 * 20/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/20) × (20/14) = (200/280) = 5/7 after simplification.\n</reasoning>\nFinal Answer: 5/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [3, 8, 13, 14, 19] and B = [2, 5, 11, 13, 15, 16, 17, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [3, 8, 14].\n</reasoning>\nFinal Answer: [3, 8, 14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 9, 12, 14] and B = [3, 4, 5, 8, 12, 15, 16, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 3, 5, 8, 9, 14, 15, 16, 17].\n</reasoning>\... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -32 = -591"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 13x = -559. Divide by 13: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:20 and A = 91, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/20, so B = A × (20/40) = 91 × 20/40 = 45.5.\n</reasoning>\nFinal Answer: 45.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 7 and width 31."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(7+31) = 2×38 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 11/14 / 3/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/14) ÷ (3/20) = (11/14) × (20/3) = 110/21.\n</reasoning>\nFinal Answer: 110/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -573 - 591"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 591 from -573: -573 - 591 = -1164.\n</reasoning>\nFinal Answer: -1164"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 + 40 * 42 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 40×42=1680, then 5+1680-48=1637.\n</reasoning>\nFinal Answer: 1637"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 212 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 212 × (1 - 80/100) = 212 × 0.19999999999999996 = 42.4.\n</reasoning>\nFinal Answer: 42.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [61, 37, 23, 48, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 71 - 23 = 48.\n</reasoning>\nFinal Answer: 48"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Decrease 799 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 799 × (1 - 30/100) = 799 × 0.7 = 559.3.\n</reasoning>\nFinal Answer: 559.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 664 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 664 × (1 - 90/100) = 664 × 0.09999999999999998 = 66.4.\n</reasoning>\nFinal Answer: 66.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -856 ÷ 887"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -856 by 887. -856 ÷ 887 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 26 and height 20."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 26 × 20 = 520.\n</reasoning>\nFinal Answer: 520"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 989 × 729"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 989 by 729: 989 × 729 = 720981.\n</reasoning>\nFinal Answer: 720981"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹19422 at 18% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 19422 × 18 × 2 / 100 = 6991.92.\n</reasoning>\nFinal Answer: 6991.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -24 = 144"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 28x = 168. Divide by 28: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 44 = 134"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 5x = 90. Divide by 5: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 12/5 - 5/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/5 - 5/20. LCD = 20. Result = 43/20.\n</reasoning>\nFinal Answer: 43/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 144 ÷ -256"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 144 by -256. 144 ÷ -256 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (46 + 20) * (5 - 19)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (46+20)=66, (5-19)=-14, then 66×-14=-924.\n</reasoning>\nFinal Answer: -924"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:26 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/26, so B = A × (26/12) = 31 × 26/12 = 67.1667.\n</reasoning>\nFinal Answer: 67.1667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 20% of 698?"
},
{
"role": "assistant",
"content": "<reasoning>\n20% of 698 = (20/100) × 698 = 139.6.\n</reasoning>\nFinal Answer: 139.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 974 km apart. Their speeds are 115 km/h and 101 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 115+101=216 km/h. Time = 974/216 = 4.5093 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 36 and width 45."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(36+45) = 2×81 = 162.\n</reasoning>\nFinal Answer: 162"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 26 = 98"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 24x = 72. Divide by 24: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 729 mod 711"
},
{
"role": "assistant",
"content": "<reasoning>\n729 mod 711: 729 = 711 × 1 + 18, so remainder = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -16 ÷ 159"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -16 by 159. -16 ÷ 159 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 6, 7, 8, 10, 13] and B = [3, 5, 6, 11, 12, 13, 17, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 7, 8, 10].\n</reasoning>\nFinal Answer: [1, 7, 8, 10]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 589 × 788"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 589 by 788: 589 × 788 = 464132.\n</reasoning>\nFinal Answer: 464132"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -9 = 126"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 5x = 135. Divide by 5: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 40 ** 2 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 40²=1600, then 42+1600-24=1618.\n</reasoning>\nFinal Answer: 1618"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 865 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 50%: 865 × (1 + 50/100) = 865 × 1.5 = 1297.5.\n</reasoning>\nFinal Answer: 1297.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 541 × -315"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 541 by -315: 541 × -315 = -170415.\n</reasoning>\nFinal Answer: -170415"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 37 ** 2 - 8"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 37²=1369, then 13+1369-8=1374.\n</reasoning>\nFinal Answer: 1374"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 172 km/h. How far does it travel in 12 hours and 2 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 2/60 = 12.0333 hours. Distance = speed × time = 172 × 12.0333 = 2069.7333 km.\n</reasoning>\nFinal Answer: 2069.7333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 7/6 / 2/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/6) ÷ (2/1) = (7/6) × (1/2) = 7/12.\n</reasoning>\nFinal Answer: 7/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -675 - 115"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 115 from -675: -675 - 115 = -790.\n</reasoning>\nFinal Answer: -790"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "447 is what percentage of 841?"
},
{
"role": "assistant",
"content": "<reasoning>\n(447/841) × 100 = 53.151%.\n</reasoning>\nFinal Answer: 53.151%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 * 22 + 36 * 26"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 35×22=770 and 36×26=936, then add: 1706.\n</reasoning>\nFinal Answer: 1706"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 31 and height 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 31 × 27 = 837.\n</reasoning>\nFinal Answer: 837"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -292 × 290"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -292 by 290: -292 × 290 = -84680.\n</reasoning>\nFinal Answer: -84680"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 16/12 * 13/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/12) × (13/20) = (208/240) = 13/15 after simplification.\n</reasoning>\nFinal Answer: 13/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [2, 7, 9, 11, 14] and B = [3, 7, 10, 12, 16, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 3, 7, 9, 10, 11, 12, 14, 16, 18].\n</reasoning>\nFinal Answer: [2, 3, 7, 9, 10, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 25 = -1010"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 23x = -1035. Divide by 23: x = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 * 45 + 13 * 36"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 5×45=225 and 13×36=468, then add: 693.\n</reasoning>\nFinal Answer: 693"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 117 apples and buys 22 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 117 + 22 = 139.\n</reasoning>\nFinal Answer: 139"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 14/3 * 13/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/3) × (13/20) = (182/60) = 91/30 after simplification.\n</reasoning>\nFinal Answer: 91/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "26 is what percentage of 166?"
},
{
"role": "assistant",
"content": "<reasoning>\n(26/166) × 100 = 15.6627%.\n</reasoning>\nFinal Answer: 15.6627%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 7 = -345"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 11x = -352. Divide by 11: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [39, 100, 23, 10, 28, 42, 99, 85, 17]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 17, 23, 28, 39, 42, 85, 99, 100]. Middle value(s) → median = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 8 = 620"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 17x = 612. Divide by 17: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -161 - 557"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 557 from -161: -161 - 557 = -718.\n</reasoning>\nFinal Answer: -718"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [29, 60, 12, 4, 76, 27, 52, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 335/8 = 41.875.\n</reasoning>\nFinal Answer: 41.875"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -335 + -631"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -335 and -631: -335 + -631 = -966.\n</reasoning>\nFinal Answer: -966"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the circumference of a circle with radius 43. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nCircumference = 2πr = 2 × π × 43 ≈ 270.177.\n</reasoning>\nFinal Answer: 270.177"
}
] | easy | [
"geometry",
"circumference"
] |
[
{
"role": "user",
"content": "What is 50% of 35?"
},
{
"role": "assistant",
"content": "<reasoning>\n50% of 35 = (50/100) × 35 = 17.5.\n</reasoning>\nFinal Answer: 17.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 12 and width 74."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 12 × 74 = 888.\n</reasoning>\nFinal Answer: 888"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹1656 at 9% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 1656 × 9 × 1 / 100 = 149.04.\n</reasoning>\nFinal Answer: 149.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 36 = -48"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 4x = -84. Divide by 4: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [53, 6, 13, 65, 57, 96, 12, 81, 74, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 548/10 = 54.8.\n</reasoning>\nFinal Answer: 54.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 20/9 * 4/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/9) × (4/19) = (80/171) = 80/171 after simplification.\n</reasoning>\nFinal Answer: 80/171"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [38, 74, 95, 32, 19, 76, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {38: 1, 74: 1, 95: 1, 32: 1, 19: 1, 76: 1, 52: 1}. Most frequent: [38, 74, 95, 32, 19, 76, 52].\n</reasoning>\nFinal Answer: [38, 74, 95, 32, 19, 76... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -452 ÷ 290"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -452 by 290. -452 ÷ 290 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 10/5 * 13/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/5) × (13/18) = (130/90) = 13/9 after simplification.\n</reasoning>\nFinal Answer: 13/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹1463 at 7% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 1463 × 7 × 10 / 100 = 1024.1.\n</reasoning>\nFinal Answer: 1024.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [33, 68, 51, 26, 43, 8, 99, 90, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 462/9 = 51.3333.\n</reasoning>\nFinal Answer: 51.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 65 and height 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 65 × 33 = 2145.\n</reasoning>\nFinal Answer: 2145"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 128 apples and buys 189 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 128 + 189 = 317.\n</reasoning>\nFinal Answer: 317"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 15 ** 2 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 15²=225, then 47+225-39=233.\n</reasoning>\nFinal Answer: 233"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [45, 99, 97, 48, 10, 60, 65, 98, 22, 2]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 546/10 = 54.6.\n</reasoning>\nFinal Answer: 54.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the range of: [38, 65, 1, 58, 24, 40, 6, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 65 - 1 = 64.\n</reasoning>\nFinal Answer: 64"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-10)x + (16) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -10² - 4×1×16 = 36. √discriminant = 6. x = (-(-10) ± 6) / (2×1). Solutions: x = 8 or x = 2.\n</reasoning>\nFinal Answer: x = 8 or x = 2"
}
] | hard | [
"algebra",
"quadratic"
] |
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