messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -979 mod -514"
},
{
"role": "assistant",
"content": "<reasoning>\n-979 mod -514: -979 = -514 × 1 + -465, so remainder = -465.\n</reasoning>\nFinal Answer: -465"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 56 and 53."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(56,53) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 1/18 * 13/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/18) × (13/2) = (13/36) = 13/36 after simplification.\n</reasoning>\nFinal Answer: 13/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 918 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 918 × (1 - 20/100) = 918 × 0.8 = 734.4.\n</reasoning>\nFinal Answer: 734.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 962 mod -63"
},
{
"role": "assistant",
"content": "<reasoning>\n962 mod -63: 962 = -63 × -16 + -46, so remainder = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -13 = 395"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 17x = 408. Divide by 17: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 97 km/h. How far does it travel in 5 hours and 31 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 31/60 = 5.5167 hours. Distance = speed × time = 97 × 5.5167 = 535.1167 km.\n</reasoning>\nFinal Answer: 535.1167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 100% of 686?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 686 = (100/100) × 686 = 686.0.\n</reasoning>\nFinal Answer: 686.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 46 and height 76."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 46 × 76 = 1748.0.\n</reasoning>\nFinal Answer: 1748.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 538 km apart. Their speeds are 111 km/h and 75 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 111+75=186 km/h. Time = 538/186 = 2.8925 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 18 = -230"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 8x = -248. Divide by 8: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 628 - 938"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 938 from 628: 628 - 938 = -310.\n</reasoning>\nFinal Answer: -310"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/14 + 6/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/14 + 6/11. Common denominator = 77. Result = 64/77.\n</reasoning>\nFinal Answer: 64/77"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [29, 35, 41, 47, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 29 and common difference 6. Next term = 53 + 6 = 59.\n</reasoning>\nFinal Answer: 59"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the median of: [2, 29, 75, 92, 1, 54, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 2, 29, 43, 54, 75, 92]. Middle value(s) → median = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 46 = 406"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 24x = 360. Divide by 24: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "232 is what percentage of 337?"
},
{
"role": "assistant",
"content": "<reasoning>\n(232/337) × 100 = 68.8427%.\n</reasoning>\nFinal Answer: 68.8427%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 14/8 / 9/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/8) ÷ (9/17) = (14/8) × (17/9) = 119/36.\n</reasoning>\nFinal Answer: 119/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹24143 at 12% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 24143 × 12 × 2 / 100 = 5794.32.\n</reasoning>\nFinal Answer: 5794.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 * 38 + 38 * 49"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 5×38=190 and 38×49=1862, then add: 2052.\n</reasoning>\nFinal Answer: 2052"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 15/9 - 12/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/9 - 12/14. LCD = 21. Result = 17/21.\n</reasoning>\nFinal Answer: 17/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [71, 15, 45, 71, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 223/5 = 44.6.\n</reasoning>\nFinal Answer: 44.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 44 and width 57."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 44 × 57 = 2508.\n</reasoning>\nFinal Answer: 2508"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:36 and A = 65, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/36, so B = A × (36/10) = 65 × 36/10 = 234.0.\n</reasoning>\nFinal Answer: 234.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 + 11 * 14 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 11×14=154, then 24+154-43=135.\n</reasoning>\nFinal Answer: 135"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 20/16 - 17/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/16 - 17/9. LCD = 36. Result = -23/36.\n</reasoning>\nFinal Answer: -23/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [66, 42, 65, 96, 67, 69, 16, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 497/8 = 62.125.\n</reasoning>\nFinal Answer: 62.125"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (16)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 16² - 4×4×0 = 256. √discriminant = 16. x = (-(16) ± 16) / (2×4). Solutions: x = -4 or x = 0.\n</reasoning>\nFinal Answer: x = -4 or x = 0"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (8)x + (12) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 8² - 4×1×12 = 16. √discriminant = 4. x = (-(8) ± 4) / (2×1). Solutions: x = -2 or x = -6.\n</reasoning>\nFinal Answer: x = -2 or x = -6"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 199 and 106."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(199,106) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -293 mod 499"
},
{
"role": "assistant",
"content": "<reasoning>\n-293 mod 499: -293 = 499 × -1 + 206, so remainder = 206.\n</reasoning>\nFinal Answer: 206"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [33, 21, 50, 93, 42, 38, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 21 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 154 + -94"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 154 and -94: 154 + -94 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [59, 29, 87, 55, 41, 79, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {59: 1, 29: 1, 87: 1, 55: 1, 41: 1, 79: 1, 45: 1}. Most frequent: [59, 29, 87, 55, 41, 79, 45].\n</reasoning>\nFinal Answer: [59, 29, 87, 55, 41, 79... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -293 mod 362"
},
{
"role": "assistant",
"content": "<reasoning>\n-293 mod 362: -293 = 362 × -1 + 69, so remainder = 69.\n</reasoning>\nFinal Answer: 69"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 707 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 707 × (1 - 60/100) = 707 × 0.4 = 282.8.\n</reasoning>\nFinal Answer: 282.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 0 = -196"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 4x = -196. Divide by 4: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 342 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 342 × (1 - 12/100) = 342 × 0.88 = 300.96.\n</reasoning>\nFinal Answer: 300.96"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 928 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 928 × (1 + 60/100) = 928 × 1.6 = 1484.8.\n</reasoning>\nFinal Answer: 1484.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -232 ÷ -409"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -232 by -409. -232 ÷ -409 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -224 - 996"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 996 from -224: -224 - 996 = -1220.\n</reasoning>\nFinal Answer: -1220"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 * 45 + 48 * 22"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 43×45=1935 and 48×22=1056, then add: 2991.\n</reasoning>\nFinal Answer: 2991"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -29 = 232"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 29x = 261. Divide by 29: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 27 = 825"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 21x = 798. Divide by 21: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 3 and 33."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (3×33)/3 = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 116 and 24."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(116,24) = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 12 = 116"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 13x = 104. Divide by 13: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -349 mod 783"
},
{
"role": "assistant",
"content": "<reasoning>\n-349 mod 783: -349 = 783 × -1 + 434, so remainder = 434.\n</reasoning>\nFinal Answer: 434"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 57 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 57 × (1 + 75/100) = 57 × 1.75 = 99.75.\n</reasoning>\nFinal Answer: 99.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 80 and height 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 80 × 33 = 2640.\n</reasoning>\nFinal Answer: 2640"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 44 and common difference 1, find the 23th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 44 + (23-1)×1 = 44 + 22 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹33714 at 6% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 33714 × 6 × 7 / 100 = 14159.88.\n</reasoning>\nFinal Answer: 14159.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 1 and common difference 16, find the 48th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 1 + (48-1)×16 = 1 + 752 = 753.\n</reasoning>\nFinal Answer: 753"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 19 ** 2 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 19²=361, then 37+361-22=376.\n</reasoning>\nFinal Answer: 376"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 557 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 557 × (1 + 10/100) = 557 × 1.1 = 612.7.\n</reasoning>\nFinal Answer: 612.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -454 - 343"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 343 from -454: -454 - 343 = -797.\n</reasoning>\nFinal Answer: -797"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (8 + 50) * (18 - 32)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (8+50)=58, (18-32)=-14, then 58×-14=-812.\n</reasoning>\nFinal Answer: -812"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -887 ÷ -623"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -887 by -623. -887 ÷ -623 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -336 - 94"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 94 from -336: -336 - 94 = -430.\n</reasoning>\nFinal Answer: -430"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 14/8 - 3/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/8 - 3/19. LCD = 76. Result = 121/76.\n</reasoning>\nFinal Answer: 121/76"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 189 apples and buys 66 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 189 + 66 = 255.\n</reasoning>\nFinal Answer: 255"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 16/20 + 1/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/20 + 1/8. Common denominator = 40. Result = 37/40.\n</reasoning>\nFinal Answer: 37/40"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -912 × -866"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -912 by -866: -912 × -866 = 789792.\n</reasoning>\nFinal Answer: 789792"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹618. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 618 × 18/100 = 111.24. Total = 618 + 111.24 = 729.24.\n</reasoning>\nFinal Answer: 729.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:21 and A = 54, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/21, so B = A × (21/43) = 54 × 21/43 = 26.3721.\n</reasoning>\nFinal Answer: 26.3721"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 2 = 572"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 30x = 570. Divide by 30: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 969 - -20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from 969: 969 - -20 = 989.\n</reasoning>\nFinal Answer: 989"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 13/1 + 1/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/1 + 1/6. Common denominator = 6. Result = 79/6.\n</reasoning>\nFinal Answer: 79/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 40 and height 59."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 40 × 59 = 1180.0.\n</reasoning>\nFinal Answer: 1180.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 90 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 90 × 11 = 990.\n</reasoning>\nFinal Answer: 990"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 23 = -1043"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 26x = -1066. Divide by 26: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 35% of 37?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 37 = (35/100) × 37 = 12.95.\n</reasoning>\nFinal Answer: 12.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -817 × -56"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -817 by -56: -817 × -56 = 45752.\n</reasoning>\nFinal Answer: 45752"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 95 × -346"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 95 by -346: 95 × -346 = -32870.\n</reasoning>\nFinal Answer: -32870"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹3332. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3332 × 12/100 = 399.84. Total = 3332 + 399.84 = 3731.84.\n</reasoning>\nFinal Answer: 3731.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [41, 88, 44, 26, 27, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 318/6 = 53.0.\n</reasoning>\nFinal Answer: 53.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 5/14 + 13/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/14 + 13/14. Common denominator = 14. Result = 9/7.\n</reasoning>\nFinal Answer: 9/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 46 ** 2 - 21"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 46²=2116, then 40+2116-21=2135.\n</reasoning>\nFinal Answer: 2135"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -596 × -337"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -596 by -337: -596 × -337 = 200852.\n</reasoning>\nFinal Answer: 200852"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:27 and A = 50, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/27, so B = A × (27/5) = 50 × 27/5 = 270.0.\n</reasoning>\nFinal Answer: 270.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 32, 28 and height 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (32+28) × 39 = 1170.0.\n</reasoning>\nFinal Answer: 1170.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -367 ÷ 9"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -367 by 9. -367 ÷ 9 = -41 (integer division).\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 * 43 + 42 * 12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 13×43=559 and 42×12=504, then add: 1063.\n</reasoning>\nFinal Answer: 1063"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [35, 12, 83, 27, 35, 18, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [12, 18, 27, 32, 35, 35, 83]. Middle value(s) → median = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -325 ÷ -138"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -325 by -138. -325 ÷ -138 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [5, 26, 10, 29, 81, 27, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 10, 26, 27, 29, 81, 99]. Middle value(s) → median = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "What is 100% of 261?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 261 = (100/100) × 261 = 261.0.\n</reasoning>\nFinal Answer: 261.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 776 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 776 × (1 - 15/100) = 776 × 0.85 = 659.6.\n</reasoning>\nFinal Answer: 659.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 172 km/h. How far does it travel in 2 hours and 15 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 15/60 = 2.2500 hours. Distance = speed × time = 172 × 2.2500 = 387.0 km.\n</reasoning>\nFinal Answer: 387.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 681 - -609"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -609 from 681: 681 - -609 = 1290.\n</reasoning>\nFinal Answer: 1290"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 290 ÷ 758"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 290 by 758. 290 ÷ 758 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 166 km/h. How far does it travel in 8 hours and 11 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 11/60 = 8.1833 hours. Distance = speed × time = 166 × 8.1833 = 1358.4333 km.\n</reasoning>\nFinal Answer: 1358.4333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 69 and width 72."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 69 × 72 = 4968.\n</reasoning>\nFinal Answer: 4968"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 139 apples and buys 77 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 139 + 77 = 216.\n</reasoning>\nFinal Answer: 216"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A bag has 5 red and 9 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 5/14 = 0.3571.\n</reasoning>\nFinal Answer: 0.3571"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 74 and width 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 74 × 13 = 962.\n</reasoning>\nFinal Answer: 962"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 6 = -92"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 14x = -98. Divide by 14: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [39, 79, 64, 70, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 39 = 56.\n</reasoning>\nFinal Answer: 56"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 209 - 374"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 374 from 209: 209 - 374 = -165.\n</reasoning>\nFinal Answer: -165"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 3, 6, 15] and B = [2, 5, 6, 7, 14, 15, 17, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [2, 6, 15].\n</reasoning>\nFinal Answer: [2, 6, 15]"
}
] | medium | [
"set_theory"
] |
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