messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Increase 560 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 560 × (1 + 5/100) = 560 × 1.05 = 588.0.\n</reasoning>\nFinal Answer: 588.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 923 km apart. Their speeds are 109 km/h and 75 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 109+75=184 km/h. Time = 923/184 = 5.0163 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -378 - 668"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 668 from -378: -378 - 668 = -1046.\n</reasoning>\nFinal Answer: -1046"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -221 + -525"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -221 and -525: -221 + -525 = -746.\n</reasoning>\nFinal Answer: -746"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 841 - -455"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -455 from 841: 841 - -455 = 1296.\n</reasoning>\nFinal Answer: 1296"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 809 km apart. Their speeds are 94 km/h and 109 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 94+109=203 km/h. Time = 809/203 = 3.9852 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 74 apples and buys 191 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 74 + 191 = 265.\n</reasoning>\nFinal Answer: 265"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -23 = -401"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 9x = -378. Divide by 9: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:23 and A = 87, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/23, so B = A × (23/29) = 87 × 23/29 = 69.0.\n</reasoning>\nFinal Answer: 69.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 4, 40 and height 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (4+40) × 10 = 220.0.\n</reasoning>\nFinal Answer: 220.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 17/9 * 7/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/9) × (7/8) = (119/72) = 119/72 after simplification.\n</reasoning>\nFinal Answer: 119/72"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (28)x + (-120) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 28² - 4×4×-120 = 2704. √discriminant = 52. x = (-(28) ± 52) / (2×4). Solutions: x = -10 or x = 3.\n</reasoning>\nFinal Answer: x = -10 or x = ... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 41 = -1084"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 25x = -1125. Divide by 25: x = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -354 + 379"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -354 and 379: -354 + 379 = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 49 ** 2 - 49"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 49²=2401, then 30+2401-49=2382.\n</reasoning>\nFinal Answer: 2382"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 36 = 256"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 11x = 220. Divide by 11: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 17 and common difference 19, find the 31th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 17 + (31-1)×19 = 17 + 570 = 587.\n</reasoning>\nFinal Answer: 587"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [35, 51, 67, 83, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 35 and common difference 16. Next term = 99 + 16 = 115.\n</reasoning>\nFinal Answer: 115"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -659 mod 321"
},
{
"role": "assistant",
"content": "<reasoning>\n-659 mod 321: -659 = 321 × -3 + 304, so remainder = 304.\n</reasoning>\nFinal Answer: 304"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 340 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 340 × (1 + 30/100) = 340 × 1.3 = 442.0.\n</reasoning>\nFinal Answer: 442.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹18932 at 10% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 18932 × 10 × 6 / 100 = 11359.2.\n</reasoning>\nFinal Answer: 11359.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 328 ÷ 525"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 328 by 525. 328 ÷ 525 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (21 + 7) * (32 - 18)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (21+7)=28, (32-18)=14, then 28×14=392.\n</reasoning>\nFinal Answer: 392"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 18/11 + 8/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/11 + 8/8. Common denominator = 11. Result = 29/11.\n</reasoning>\nFinal Answer: 29/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹44822 at 2% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 44822 × 2 × 9 / 100 = 8067.96.\n</reasoning>\nFinal Answer: 8067.96"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 6 and height 65."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 6 × 65 = 390.\n</reasoning>\nFinal Answer: 390"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (8)x + (-12) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 8² - 4×4×-12 = 256. √discriminant = 16. x = (-(8) ± 16) / (2×4). Solutions: x = -3 or x = 1.\n</reasoning>\nFinal Answer: x = -3 or x = 1"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 45 and height 53."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 45 × 53 = 2385.\n</reasoning>\nFinal Answer: 2385"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 4/13 * 5/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/13) × (5/17) = (20/221) = 20/221 after simplification.\n</reasoning>\nFinal Answer: 20/221"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 12 ** 2 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 12²=144, then 40+144-26=158.\n</reasoning>\nFinal Answer: 158"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 63 apples and buys 17 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 63 + 17 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 9 and height 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 9 × 26 = 117.0.\n</reasoning>\nFinal Answer: 117.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 41 and height 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 41 × 26 = 1066.\n</reasoning>\nFinal Answer: 1066"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [78, 40, 36, 51, 61, 36, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [36, 36, 40, 43, 51, 61, 78]. Middle value(s) → median = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "316 is what percentage of 990?"
},
{
"role": "assistant",
"content": "<reasoning>\n(316/990) × 100 = 31.9192%.\n</reasoning>\nFinal Answer: 31.9192%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mode of: [89, 26, 53, 72, 61, 6, 83, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {89: 1, 26: 1, 53: 1, 72: 1, 61: 1, 6: 1, 83: 1, 7: 1}. Most frequent: [89, 26, 53, 72, 61, 6, 83, 7].\n</reasoning>\nFinal Answer: [89, 26, 53, 7... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -926 - 786"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 786 from -926: -926 - 786 = -1712.\n</reasoning>\nFinal Answer: -1712"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 14/19 - 12/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/19 - 12/10. LCD = 95. Result = -44/95.\n</reasoning>\nFinal Answer: -44/95"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 621 + -522"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 621 and -522: 621 + -522 = 99.\n</reasoning>\nFinal Answer: 99"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:42 and A = 85, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/42, so B = A × (42/36) = 85 × 42/36 = 99.1667.\n</reasoning>\nFinal Answer: 99.1667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 67 and height 79."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 67 × 79 = 2646.5.\n</reasoning>\nFinal Answer: 2646.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -18 = -642"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 26x = -624. Divide by 26: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 * 48 + 12 * 48"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 33×48=1584 and 12×48=576, then add: 2160.\n</reasoning>\nFinal Answer: 2160"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 24 mod -663"
},
{
"role": "assistant",
"content": "<reasoning>\n24 mod -663: 24 = -663 × -1 + -639, so remainder = -639.\n</reasoning>\nFinal Answer: -639"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 100 and height 73."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 100 × 73 = 3650.0.\n</reasoning>\nFinal Answer: 3650.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (16 + 18) * (27 - 30)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (16+18)=34, (27-30)=-3, then 34×-3=-102.\n</reasoning>\nFinal Answer: -102"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 + 20 ** 2 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 20²=400, then 24+400-19=405.\n</reasoning>\nFinal Answer: 405"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 766 ÷ -249"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 766 by -249. 766 ÷ -249 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:20 and A = 96, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/20, so B = A × (20/12) = 96 × 20/12 = 160.0.\n</reasoning>\nFinal Answer: 160.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -771 - 462"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 462 from -771: -771 - 462 = -1233.\n</reasoning>\nFinal Answer: -1233"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -647 - -469"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -469 from -647: -647 - -469 = -178.\n</reasoning>\nFinal Answer: -178"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 566 ÷ 203"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 566 by 203. 566 ÷ 203 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 6] and B = [1, 2, 4], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 4, 6].\n</reasoning>\nFinal Answer: [1, 2, 4, 6]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 632 × -958"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 632 by -958: 632 × -958 = -605456.\n</reasoning>\nFinal Answer: -605456"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 16/6 / 7/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/6) ÷ (7/11) = (16/6) × (11/7) = 88/21.\n</reasoning>\nFinal Answer: 88/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 9/12 / 18/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/12) ÷ (18/1) = (9/12) × (1/18) = 1/24.\n</reasoning>\nFinal Answer: 1/24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 717 km apart. Their speeds are 104 km/h and 62 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 104+62=166 km/h. Time = 717/166 = 4.3193 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 87 and width 1."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 87 × 1 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 32 = 263"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 7x = 231. Divide by 7: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 76 and width 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 76 × 36 = 2736.\n</reasoning>\nFinal Answer: 2736"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (2)x + (-144) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 2² - 4×2×-144 = 1156. √discriminant = 34. x = (-(2) ± 34) / (2×2). Solutions: x = 8 or x = -9.\n</reasoning>\nFinal Answer: x = 8 or x = -9"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the median of: [92, 68, 6, 7, 2, 49, 92, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 6, 7, 49, 68, 75, 92, 92]. Middle value(s) → median = 58.5.\n</reasoning>\nFinal Answer: 58.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 70 and 112."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(70,112) = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the median of: [86, 16, 94, 61, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [15, 16, 61, 86, 94]. Middle value(s) → median = 61.\n</reasoning>\nFinal Answer: 61"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [17, 32, 47, 62, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 17 and common difference 15. Next term = 77 + 15 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -35 = 925"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 24x = 960. Divide by 24: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 531 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 531 × (1 - 7/100) = 531 × 0.9299999999999999 = 493.83.\n</reasoning>\nFinal Answer: 493.83"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 85 and width 6."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 85 × 6 = 510.\n</reasoning>\nFinal Answer: 510"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (15 + 5) * (45 - 16)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (15+5)=20, (45-16)=29, then 20×29=580.\n</reasoning>\nFinal Answer: 580"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 384 km apart. Their speeds are 99 km/h and 49 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 99+49=148 km/h. Time = 384/148 = 2.5946 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -46 = -154"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 6x = -108. Divide by 6: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "340 is what percentage of 986?"
},
{
"role": "assistant",
"content": "<reasoning>\n(340/986) × 100 = 34.4828%.\n</reasoning>\nFinal Answer: 34.4828%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 + 43 * 36 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 43×36=1548, then 35+1548-2=1581.\n</reasoning>\nFinal Answer: 1581"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 138 - 784"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 784 from 138: 138 - 784 = -646.\n</reasoning>\nFinal Answer: -646"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 14/15 + 18/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/15 + 18/15. Common denominator = 15. Result = 32/15.\n</reasoning>\nFinal Answer: 32/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 * 20 + 17 * 35"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 4×20=80 and 17×35=595, then add: 675.\n</reasoning>\nFinal Answer: 675"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [6, 16, 2, 33, 17, 12, 13, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 82 - 2 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 + 12 ** 2 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 12²=144, then 34+144-38=140.\n</reasoning>\nFinal Answer: 140"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 16, 26, and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 16 + 26 + 38 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 12 = 12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 19x = 0. Divide by 19: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -145 - -85"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -85 from -145: -145 - -85 = -60.\n</reasoning>\nFinal Answer: -60"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 559 × 750"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 559 by 750: 559 × 750 = 419250.\n</reasoning>\nFinal Answer: 419250"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 201 + -448"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 201 and -448: 201 + -448 = -247.\n</reasoning>\nFinal Answer: -247"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹8844 at 2% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 8844 × 2 × 9 / 100 = 1591.92.\n</reasoning>\nFinal Answer: 1591.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 24 = 778"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 29x = 754. Divide by 29: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -925 ÷ 219"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -925 by 219. -925 ÷ 219 = -5 (integer division).\n</reasoning>\nFinal Answer: -5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 31 and common difference 7, find the 28th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 31 + (28-1)×7 = 31 + 189 = 220.\n</reasoning>\nFinal Answer: 220"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 2 = -403"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 9x = -405. Divide by 9: x = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 904 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 904 × (1 + 25/100) = 904 × 1.25 = 1130.0.\n</reasoning>\nFinal Answer: 1130.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [7, 8, 9, 15, 17, 18, 19] and B = [6, 9, 10, 11, 15, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [6, 7, 8, 9, 10, 11, 15, 17, 18, 19].\n</reasoning>\nFinal Answer: [6, 7, 8, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 69 and width 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 69 × 28 = 1932.\n</reasoning>\nFinal Answer: 1932"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 2/14 - 10/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/14 - 10/19. LCD = 133. Result = -51/133.\n</reasoning>\nFinal Answer: -51/133"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 863 + -39"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 863 and -39: 863 + -39 = 824.\n</reasoning>\nFinal Answer: 824"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 29 = 17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 6x = -12. Divide by 6: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 8 apples and buys 53 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 8 + 53 = 61.\n</reasoning>\nFinal Answer: 61"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 37 and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (37×30)/1 = 1110.\n</reasoning>\nFinal Answer: 1110"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 4, 4 and height 8."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (4+4) × 8 = 32.0.\n</reasoning>\nFinal Answer: 32.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 14 ** 2 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 14²=196, then 13+196-31=178.\n</reasoning>\nFinal Answer: 178"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [67, 9, 33, 90, 51, 16, 65, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 16, 33, 51, 60, 65, 67, 90]. Middle value(s) → median = 55.5.\n</reasoning>\nFinal Answer: 55.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-65)x + (200) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -65² - 4×5×200 = 225. √discriminant = 15. x = (-(-65) ± 15) / (2×5). Solutions: x = 5 or x = 8.\n</reasoning>\nFinal Answer: x = 5 or x = 8"
... | hard | [
"algebra",
"quadratic"
] |
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