messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: 22 mod -211"
},
{
"role": "assistant",
"content": "<reasoning>\n22 mod -211: 22 = -211 × -1 + -189, so remainder = -189.\n</reasoning>\nFinal Answer: -189"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (13 + 23) * (47 - 5)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (13+23)=36, (47-5)=42, then 36×42=1512.\n</reasoning>\nFinal Answer: 1512"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 * 4 + 47 * 18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 2×4=8 and 47×18=846, then add: 854.\n</reasoning>\nFinal Answer: 854"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 672 km apart. Their speeds are 66 km/h and 102 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 66+102=168 km/h. Time = 672/168 = 4.0 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 197 × 743"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 197 by 743: 197 × 743 = 146371.\n</reasoning>\nFinal Answer: 146371"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -289 × 382"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -289 by 382: -289 × 382 = -110398.\n</reasoning>\nFinal Answer: -110398"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -31 = -1123"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 28x = -1092. Divide by 28: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 * 37 + 39 * 42"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 31×37=1147 and 39×42=1638, then add: 2785.\n</reasoning>\nFinal Answer: 2785"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 15 and height 90."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 15 × 90 = 675.0.\n</reasoning>\nFinal Answer: 675.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -105 × -92"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -105 by -92: -105 × -92 = 9660.\n</reasoning>\nFinal Answer: 9660"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 99 km/h. How far does it travel in 6 hours and 54 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 54/60 = 6.9000 hours. Distance = speed × time = 99 × 6.9000 = 683.1 km.\n</reasoning>\nFinal Answer: 683.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (21 + 16) * (35 - 30)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (21+16)=37, (35-30)=5, then 37×5=185.\n</reasoning>\nFinal Answer: 185"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 219 km apart. Their speeds are 55 km/h and 48 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 55+48=103 km/h. Time = 219/103 = 2.1262 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -50 = -485"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 15x = -435. Divide by 15: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 817 mod -382"
},
{
"role": "assistant",
"content": "<reasoning>\n817 mod -382: 817 = -382 × -3 + -329, so remainder = -329.\n</reasoning>\nFinal Answer: -329"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [5, 8, 19] and B = [6, 7, 16, 17, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [5, 6, 7, 8, 16, 17, 18, 19].\n</reasoning>\nFinal Answer: [5, 6... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 9 ** 2 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 9²=81, then 41+81-42=80.\n</reasoning>\nFinal Answer: 80"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 47 and width 51."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(47+51) = 2×98 = 196.\n</reasoning>\nFinal Answer: 196"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:16 and A = 14, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/16, so B = A × (16/14) = 14 × 16/14 = 16.0.\n</reasoning>\nFinal Answer: 16.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [56, 50, 29, 53, 71, 75, 30, 74, 98, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 29 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 3 = 71"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 4x = 68. Divide by 4: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 20/7 + 15/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/7 + 15/19. Common denominator = 133. Result = 485/133.\n</reasoning>\nFinal Answer: 485/133"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 14 and 46."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (14×46)/2 = 322.\n</reasoning>\nFinal Answer: 322"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "A train travels at 125 km/h. How far does it travel in 12 hours and 25 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 25/60 = 12.4167 hours. Distance = speed × time = 125 × 12.4167 = 1552.0833 km.\n</reasoning>\nFinal Answer: 1552.0833"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 * 35 + 8 * 8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 6×35=210 and 8×8=64, then add: 274.\n</reasoning>\nFinal Answer: 274"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 8/10 - 10/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/10 - 10/10. LCD = 5. Result = -1/5.\n</reasoning>\nFinal Answer: -1/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-24)x + (-108) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -24² - 4×4×-108 = 2304. √discriminant = 48. x = (-(-24) ± 48) / (2×4). Solutions: x = 9 or x = -3.\n</reasoning>\nFinal Answer: x = 9 or x = ... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "What is 30% of 576?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 576 = (30/100) × 576 = 172.8.\n</reasoning>\nFinal Answer: 172.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 15, 45 and height 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (15+45) × 32 = 960.0.\n</reasoning>\nFinal Answer: 960.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [92, 54, 43, 80, 82, 54, 81, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [43, 52, 54, 54, 80, 81, 82, 92]. Middle value(s) → median = 67.0.\n</reasoning>\nFinal Answer: 67.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 15/19 * 8/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/19) × (8/19) = (120/361) = 120/361 after simplification.\n</reasoning>\nFinal Answer: 120/361"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 25 = 9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 1x = -16. Divide by 1: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [64, 27, 37, 45, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 208/5 = 41.6.\n</reasoning>\nFinal Answer: 41.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 5/12 * 2/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/12) × (2/13) = (10/156) = 5/78 after simplification.\n</reasoning>\nFinal Answer: 5/78"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 78 and height 18."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 78 × 18 = 702.0.\n</reasoning>\nFinal Answer: 702.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 63 apples and buys 38 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 63 + 38 = 101.\n</reasoning>\nFinal Answer: 101"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -898 mod 892"
},
{
"role": "assistant",
"content": "<reasoning>\n-898 mod 892: -898 = 892 × -2 + 886, so remainder = 886.\n</reasoning>\nFinal Answer: 886"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "322 is what percentage of 762?"
},
{
"role": "assistant",
"content": "<reasoning>\n(322/762) × 100 = 42.2572%.\n</reasoning>\nFinal Answer: 42.2572%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -28 = 245"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 21x = 273. Divide by 21: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 16 and height 100."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 16 × 100 = 800.0.\n</reasoning>\nFinal Answer: 800.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [89, 90, 59, 14, 12, 19, 35, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 90 - 12 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 6 and height 72."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 6 × 72 = 216.0.\n</reasoning>\nFinal Answer: 216.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:45 and A = 53, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/45, so B = A × (45/43) = 53 × 45/43 = 55.4651.\n</reasoning>\nFinal Answer: 55.4651"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 21 and height 96."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 21 × 96 = 1008.0.\n</reasoning>\nFinal Answer: 1008.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 693 km apart. Their speeds are 91 km/h and 52 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 91+52=143 km/h. Time = 693/143 = 4.8462 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 88 and height 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 88 × 10 = 440.0.\n</reasoning>\nFinal Answer: 440.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 2 and 46."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(2,46) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -486 + 140"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -486 and 140: -486 + 140 = -346.\n</reasoning>\nFinal Answer: -346"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 31 and height 97."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 31 × 97 = 1503.5.\n</reasoning>\nFinal Answer: 1503.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 33 = 177"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 4x = 144. Divide by 4: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 241 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 241 × (1 + 45/100) = 241 × 1.45 = 349.45.\n</reasoning>\nFinal Answer: 349.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 16, 10 and height 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (16+10) × 12 = 156.0.\n</reasoning>\nFinal Answer: 156.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [75, 26, 47, 90, 27, 98, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {75: 1, 26: 1, 47: 1, 90: 1, 27: 1, 98: 1, 74: 1}. Most frequent: [75, 26, 47, 90, 27, 98, 74].\n</reasoning>\nFinal Answer: [75, 26, 47, 90, 27, 98... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 17/13 * 8/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/13) × (8/17) = (136/221) = 8/13 after simplification.\n</reasoning>\nFinal Answer: 8/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 45 km/h. How far does it travel in 1 hours and 2 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 2/60 = 1.0333 hours. Distance = speed × time = 45 × 1.0333 = 46.5 km.\n</reasoning>\nFinal Answer: 46.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 6 ** 2 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 6²=36, then 10+36-20=26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 37 and width 100."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 37 × 100 = 3700.\n</reasoning>\nFinal Answer: 3700"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 646 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 646 × (1 - 7/100) = 646 × 0.9299999999999999 = 600.78.\n</reasoning>\nFinal Answer: 600.78"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -705 ÷ -560"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -705 by -560. -705 ÷ -560 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [20, 9, 40, 55, 6, 9, 67, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 6 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 583 mod -820"
},
{
"role": "assistant",
"content": "<reasoning>\n583 mod -820: 583 = -820 × -1 + -237, so remainder = -237.\n</reasoning>\nFinal Answer: -237"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 162 and 13."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(162,13) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 11/20 * 1/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/20) × (1/16) = (11/320) = 11/320 after simplification.\n</reasoning>\nFinal Answer: 11/320"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 8/11 / 16/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/11) ÷ (16/1) = (8/11) × (1/16) = 1/22.\n</reasoning>\nFinal Answer: 1/22"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -31 = 95"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 3x = 126. Divide by 3: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -39 = -1089"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 30x = -1050. Divide by 30: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:33 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/33, so B = A × (33/48) = 51 × 33/48 = 35.0625.\n</reasoning>\nFinal Answer: 35.0625"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹40625 at 10% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 40625 × 10 × 5 / 100 = 20312.5.\n</reasoning>\nFinal Answer: 20312.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 26 and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(26,38) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 8 = -622"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 14x = -630. Divide by 14: x = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (47 + 6) * (17 - 14)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (47+6)=53, (17-14)=3, then 53×3=159.\n</reasoning>\nFinal Answer: 159"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 39 × -71"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 39 by -71: 39 × -71 = -2769.\n</reasoning>\nFinal Answer: -2769"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 + 29 * 20 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 29×20=580, then 24+580-15=589.\n</reasoning>\nFinal Answer: 589"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 36 = -94"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 10x = -130. Divide by 10: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:38 and A = 7, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/38, so B = A × (38/40) = 7 × 38/40 = 6.65.\n</reasoning>\nFinal Answer: 6.65"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:29 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/29, so B = A × (29/9) = 51 × 29/9 = 164.3333.\n</reasoning>\nFinal Answer: 164.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 14/3 - 6/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/3 - 6/3. LCD = 3. Result = 8/3.\n</reasoning>\nFinal Answer: 8/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 840 km apart. Their speeds are 69 km/h and 112 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 69+112=181 km/h. Time = 840/181 = 4.6409 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [98, 6, 71, 52, 43, 25, 18, 47, 3, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {98: 1, 6: 1, 71: 1, 52: 1, 43: 1, 25: 1, 18: 1, 47: 1, 3: 1, 81: 1}. Most frequent: [98, 6, 71, 52, 43, 25, 18, 47, 3, 81].\n</reasoning>... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Increase 453 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 453 × (1 + 25/100) = 453 × 1.25 = 566.25.\n</reasoning>\nFinal Answer: 566.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -690 mod 273"
},
{
"role": "assistant",
"content": "<reasoning>\n-690 mod 273: -690 = 273 × -3 + 129, so remainder = 129.\n</reasoning>\nFinal Answer: 129"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹3049 at 4% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 3049 × 4 × 2 / 100 = 243.92.\n</reasoning>\nFinal Answer: 243.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 12/5 * 17/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/5) × (17/19) = (204/95) = 204/95 after simplification.\n</reasoning>\nFinal Answer: 204/95"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -27 = -216"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 21x = -189. Divide by 21: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 90 and height 55."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 90 × 55 = 2475.0.\n</reasoning>\nFinal Answer: 2475.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 911 × 644"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 911 by 644: 911 × 644 = 586684.\n</reasoning>\nFinal Answer: 586684"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/14 * 14/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/14) × (14/8) = (210/112) = 15/8 after simplification.\n</reasoning>\nFinal Answer: 15/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [90, 89, 11, 99, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 62, 89, 90, 99]. Middle value(s) → median = 89.\n</reasoning>\nFinal Answer: 89"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 13/3 * 7/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/3) × (7/17) = (91/51) = 91/51 after simplification.\n</reasoning>\nFinal Answer: 91/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 47 * 44 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 47×44=2068, then 30+2068-43=2055.\n</reasoning>\nFinal Answer: 2055"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -543 mod 302"
},
{
"role": "assistant",
"content": "<reasoning>\n-543 mod 302: -543 = 302 × -2 + 61, so remainder = 61.\n</reasoning>\nFinal Answer: 61"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 85 km/h. How far does it travel in 6 hours and 59 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 59/60 = 6.9833 hours. Distance = speed × time = 85 × 6.9833 = 593.5833 km.\n</reasoning>\nFinal Answer: 593.5833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 6 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 6 = 114 worker-days. New time = 114 / 19 = 6.0 days.\n</reasoning>\nFinal Answer: 6.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 599 + -699"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 599 and -699: 599 + -699 = -100.\n</reasoning>\nFinal Answer: -100"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:5 and A = 20, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/5, so B = A × (5/11) = 20 × 5/11 = 9.0909.\n</reasoning>\nFinal Answer: 9.0909"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -212 + 894"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -212 and 894: -212 + 894 = 682.\n</reasoning>\nFinal Answer: 682"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 182 apples and buys 117 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 182 + 117 = 299.\n</reasoning>\nFinal Answer: 299"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 41 = 521"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 30x = 480. Divide by 30: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹25372 at 14% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 25372 × 14 × 6 / 100 = 21312.48.\n</reasoning>\nFinal Answer: 21312.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 21 and width 73."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 21 × 73 = 1533.\n</reasoning>\nFinal Answer: 1533"
}
] | easy | [
"geometry",
"area"
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.