messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the range of: [93, 88, 3, 6, 96, 28, 17, 3, 10, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 3 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:13 and A = 91, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/13, so B = A × (13/17) = 91 × 13/17 = 69.5882.\n</reasoning>\nFinal Answer: 69.5882"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 154 km/h. How far does it travel in 10 hours and 11 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 11/60 = 10.1833 hours. Distance = speed × time = 154 × 10.1833 = 1568.2333 km.\n</reasoning>\nFinal Answer: 1568.2333"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -22 = 407"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 11x = 429. Divide by 11: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (40 + 49) * (15 - 26)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (40+49)=89, (15-26)=-11, then 89×-11=-979.\n</reasoning>\nFinal Answer: -979"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [1, 7, 50, 71, 77, 53, 7, 93, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 7, 7, 50, 53, 53, 71, 77, 93]. Middle value(s) → median = 53.\n</reasoning>\nFinal Answer: 53"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 12 * 7 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 12×7=84, then 29+84-33=80.\n</reasoning>\nFinal Answer: 80"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -510 ÷ -867"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -510 by -867. -510 ÷ -867 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 20 and height 73."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 20 × 73 = 730.0.\n</reasoning>\nFinal Answer: 730.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 976 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 976 × (1 - 75/100) = 976 × 0.25 = 244.0.\n</reasoning>\nFinal Answer: 244.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "22 is what percentage of 331?"
},
{
"role": "assistant",
"content": "<reasoning>\n(22/331) × 100 = 6.6465%.\n</reasoning>\nFinal Answer: 6.6465%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 16 and height 73."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 16 × 73 = 1168.\n</reasoning>\nFinal Answer: 1168"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [77, 42, 68, 80, 16, 27, 98, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 16 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mean of: [17, 44, 1, 72, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 216/5 = 43.2.\n</reasoning>\nFinal Answer: 43.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 22."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 22 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 10 and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(10,37) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:21 and A = 82, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/21, so B = A × (21/50) = 82 × 21/50 = 34.44.\n</reasoning>\nFinal Answer: 34.44"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 62."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 62 = 248.\n</reasoning>\nFinal Answer: 248"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 25 and width 53."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(25+53) = 2×78 = 156.\n</reasoning>\nFinal Answer: 156"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 13/14 * 3/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/14) × (3/10) = (39/140) = 39/140 after simplification.\n</reasoning>\nFinal Answer: 39/140"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 70 and width 65."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 70 × 65 = 4550.\n</reasoning>\nFinal Answer: 4550"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (43 + 27) * (33 - 50)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (43+27)=70, (33-50)=-17, then 70×-17=-1190.\n</reasoning>\nFinal Answer: -1190"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -49 = -224"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 25x = -175. Divide by 25: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -992 × -262"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -992 by -262: -992 × -262 = 259904.\n</reasoning>\nFinal Answer: 259904"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [15, 2, 15, 45, 70, 39, 39, 47, 27, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 2 = 95.\n</reasoning>\nFinal Answer: 95"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -703 × 500"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -703 by 500: -703 × 500 = -351500.\n</reasoning>\nFinal Answer: -351500"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 26 = -40"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 11x = -66. Divide by 11: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 14/7 - 18/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/7 - 18/18. LCD = 1. Result = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 83 and 136."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(83,136) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 40 and height 94."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 40 × 94 = 3760.\n</reasoning>\nFinal Answer: 3760"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 0 = 76"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 2x = 76. Divide by 2: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 868 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 868 × (1 - 60/100) = 868 × 0.4 = 347.2.\n</reasoning>\nFinal Answer: 347.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 6/20 * 11/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/20) × (11/19) = (66/380) = 33/190 after simplification.\n</reasoning>\nFinal Answer: 33/190"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [23, 34, 45, 56, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 23 and common difference 11. Next term = 67 + 11 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 50 = -688"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 18x = -738. Divide by 18: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 35 and common difference 11, find the 40th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 35 + (40-1)×11 = 35 + 429 = 464.\n</reasoning>\nFinal Answer: 464"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 16 = -389"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 9x = -405. Divide by 9: x = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -340 × -641"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -340 by -641: -340 × -641 = 217940.\n</reasoning>\nFinal Answer: 217940"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:29 and A = 34, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/29, so B = A × (29/37) = 34 × 29/37 = 26.6486.\n</reasoning>\nFinal Answer: 26.6486"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -11 = 437"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 28x = 448. Divide by 28: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [2, 8, 16] and B = [2, 7, 12, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [7, 8, 12, 16, 19].\n</reasoning>\nFinal Answer: [7, 8, 12, 16, 19]"... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (39 + 1) * (20 - 23)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (39+1)=40, (20-23)=-3, then 40×-3=-120.\n</reasoning>\nFinal Answer: -120"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 29 = 669"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 20x = 640. Divide by 20: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (26 + 22) * (45 - 21)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (26+22)=48, (45-21)=24, then 48×24=1152.\n</reasoning>\nFinal Answer: 1152"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 20, 42 and height 1."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (20+42) × 1 = 31.0.\n</reasoning>\nFinal Answer: 31.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [46, 49, 52, 55, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 46 and common difference 3. Next term = 58 + 3 = 61.\n</reasoning>\nFinal Answer: 61"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 0 = 387"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 9x = 387. Divide by 9: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 607 - -935"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -935 from 607: 607 - -935 = 1542.\n</reasoning>\nFinal Answer: 1542"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [24, 58, 88, 17, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 271/5 = 54.2.\n</reasoning>\nFinal Answer: 54.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the range of: [31, 68, 18, 18, 46, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 68 - 18 = 50.\n</reasoning>\nFinal Answer: 50"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 15/16 - 15/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/16 - 15/7. LCD = 112. Result = -135/112.\n</reasoning>\nFinal Answer: -135/112"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 9/20 + 8/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/20 + 8/18. Common denominator = 180. Result = 161/180.\n</reasoning>\nFinal Answer: 161/180"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 14 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 14 = 70 worker-days. New time = 70 / 6 = 11.6667 days.\n</reasoning>\nFinal Answer: 11.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "4 workers can complete a job in 15 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 4 × 15 = 60 worker-days. New time = 60 / 13 = 4.6154 days.\n</reasoning>\nFinal Answer: 4.6154"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [92, 68, 54, 9, 98, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {92: 1, 68: 1, 54: 1, 9: 1, 98: 1, 51: 1}. Most frequent: [92, 68, 54, 9, 98, 51].\n</reasoning>\nFinal Answer: [92, 68, 54, 9, 98, 51]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -26 = 250"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 12x = 276. Divide by 12: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:23 and A = 43, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/23, so B = A × (23/44) = 43 × 23/44 = 22.4773.\n</reasoning>\nFinal Answer: 22.4773"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -870 + 259"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -870 and 259: -870 + 259 = -611.\n</reasoning>\nFinal Answer: -611"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -21 = 31"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 4x = 52. Divide by 4: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹911. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 911 × 28/100 = 255.08. Total = 911 + 255.08 = 1166.08.\n</reasoning>\nFinal Answer: 1166.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 189 apples and buys 23 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 189 + 23 = 212.\n</reasoning>\nFinal Answer: 212"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 60% of 763?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 763 = (60/100) × 763 = 457.8.\n</reasoning>\nFinal Answer: 457.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 11/8 / 10/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/8) ÷ (10/13) = (11/8) × (13/10) = 143/80.\n</reasoning>\nFinal Answer: 143/80"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 10, 17 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (10+17) × 11 = 148.5.\n</reasoning>\nFinal Answer: 148.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 3, 7, 8, 13, 16, 18] and B = [1, 7, 9, 13, 14, 15, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 3, 8, 9, 14, 15, 16].\n</reasoning>\... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "31 is what percentage of 617?"
},
{
"role": "assistant",
"content": "<reasoning>\n(31/617) × 100 = 5.0243%.\n</reasoning>\nFinal Answer: 5.0243%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 * 45 + 3 * 28"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 36×45=1620 and 3×28=84, then add: 1704.\n</reasoning>\nFinal Answer: 1704"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 86 and 118."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(86,118) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:17 and A = 89, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/17, so B = A × (17/48) = 89 × 17/48 = 31.5208.\n</reasoning>\nFinal Answer: 31.5208"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 11 * 5 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 11×5=55, then 39+55-47=47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 49 * 29 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 49×29=1421, then 40+1421-6=1455.\n</reasoning>\nFinal Answer: 1455"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (8 + 3) * (45 - 46)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (8+3)=11, (45-46)=-1, then 11×-1=-11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -892 mod 456"
},
{
"role": "assistant",
"content": "<reasoning>\n-892 mod 456: -892 = 456 × -2 + 20, so remainder = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 * 31 + 4 * 36"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 20×31=620 and 4×36=144, then add: 764.\n</reasoning>\nFinal Answer: 764"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [7, 73, 65, 81, 96, 62, 83, 19, 61, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 19, 61, 62, 65, 73, 81, 83, 87, 96]. Middle value(s) → median = 69.0.\n</reasoning>\nFinal Answer: 69.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 222 km apart. Their speeds are 77 km/h and 74 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 77+74=151 km/h. Time = 222/151 = 1.4702 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 * 39 + 14 * 46"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 28×39=1092 and 14×46=644, then add: 1736.\n</reasoning>\nFinal Answer: 1736"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 379 km apart. Their speeds are 51 km/h and 110 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 51+110=161 km/h. Time = 379/161 = 2.354 hours.\n</reasoning>\nFinal Answe... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 909 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 909 × (1 + 12/100) = 909 × 1.12 = 1018.08.\n</reasoning>\nFinal Answer: 1018.08"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [18, 40, 2, 40, 91, 49, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {18: 1, 40: 2, 2: 1, 91: 1, 49: 1, 6: 1}. Most frequent: 40.\n</reasoning>\nFinal Answer: 40"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mode of: [54, 19, 14, 38, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {54: 1, 19: 1, 14: 1, 38: 1, 35: 1}. Most frequent: [54, 19, 14, 38, 35].\n</reasoning>\nFinal Answer: [54, 19, 14, 38, 35]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 837 km apart. Their speeds are 95 km/h and 53 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 95+53=148 km/h. Time = 837/148 = 5.6554 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 448 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 448 × (1 + 90/100) = 448 × 1.9 = 851.2.\n</reasoning>\nFinal Answer: 851.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:39 and A = 76, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/39, so B = A × (39/27) = 76 × 39/27 = 109.7778.\n</reasoning>\nFinal Answer: 109.7778"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:28 and A = 40, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/28, so B = A × (28/46) = 40 × 28/46 = 24.3478.\n</reasoning>\nFinal Answer: 24.3478"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 733 mod 893"
},
{
"role": "assistant",
"content": "<reasoning>\n733 mod 893: 733 = 893 × 0 + 733, so remainder = 733.\n</reasoning>\nFinal Answer: 733"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [5, 7, 14, 15, 18] and B = [5, 12, 13, 14, 15, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [5, 14, 15].\n</reasoning>\nFinal Answer: [5, 14, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 116 and 55."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(116,55) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -716 mod 64"
},
{
"role": "assistant",
"content": "<reasoning>\n-716 mod 64: -716 = 64 × -12 + 52, so remainder = 52.\n</reasoning>\nFinal Answer: 52"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹44880 at 15% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 44880 × 15 × 3 / 100 = 20196.0.\n</reasoning>\nFinal Answer: 20196.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -26 × 740"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -26 by 740: -26 × 740 = -19240.\n</reasoning>\nFinal Answer: -19240"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/16 / 5/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/16) ÷ (5/12) = (7/16) × (12/5) = 21/20.\n</reasoning>\nFinal Answer: 21/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -714 + 92"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -714 and 92: -714 + 92 = -622.\n</reasoning>\nFinal Answer: -622"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -27 = -452"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 17x = -425. Divide by 17: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -41 = 519"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 28x = 560. Divide by 28: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -733 mod -129"
},
{
"role": "assistant",
"content": "<reasoning>\n-733 mod -129: -733 = -129 × 5 + -88, so remainder = -88.\n</reasoning>\nFinal Answer: -88"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [10, 12, 13, 17] and B = [1, 8, 9, 13, 15, 16, 17, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [10, 12].\n</reasoning>\nFinal Answer: [10, 12]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -30 = 110"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 5x = 140. Divide by 5: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-20)x + (16) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -20² - 4×4×16 = 144. √discriminant = 12. x = (-(-20) ± 12) / (2×4). Solutions: x = 4 or x = 1.\n</reasoning>\nFinal Answer: x = 4 or x = 1"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 7/19 * 1/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/19) × (1/20) = (7/380) = 7/380 after simplification.\n</reasoning>\nFinal Answer: 7/380"
}
] | medium | [
"fractions",
"arithmetic"
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.