messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Decrease 497 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 497 × (1 - 40/100) = 497 × 0.6 = 298.2.\n</reasoning>\nFinal Answer: 298.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 9/16 / 18/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/16) ÷ (18/8) = (9/16) × (8/18) = 1/4.\n</reasoning>\nFinal Answer: 1/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 834 - -654"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -654 from 834: 834 - -654 = 1488.\n</reasoning>\nFinal Answer: 1488"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 11 and width 66."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 11 × 66 = 726.\n</reasoning>\nFinal Answer: 726"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "252 is what percentage of 411?"
},
{
"role": "assistant",
"content": "<reasoning>\n(252/411) × 100 = 61.3139%.\n</reasoning>\nFinal Answer: 61.3139%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 402 mod -388"
},
{
"role": "assistant",
"content": "<reasoning>\n402 mod -388: 402 = -388 × -2 + -374, so remainder = -374.\n</reasoning>\nFinal Answer: -374"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 10/4 * 8/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/4) × (8/16) = (80/64) = 5/4 after simplification.\n</reasoning>\nFinal Answer: 5/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹47292 at 10% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 47292 × 10 × 6 / 100 = 28375.2.\n</reasoning>\nFinal Answer: 28375.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 611 × -843"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 611 by -843: 611 × -843 = -515073.\n</reasoning>\nFinal Answer: -515073"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -165 - -205"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -205 from -165: -165 - -205 = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [55, 57, 2, 71, 1, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 77 - 1 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 6, 36 and height 8."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (6+36) × 8 = 168.0.\n</reasoning>\nFinal Answer: 168.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 65% of 94?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 94 = (65/100) × 94 = 61.1.\n</reasoning>\nFinal Answer: 61.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 6 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 6 = 96 worker-days. New time = 96 / 19 = 5.0526 days.\n</reasoning>\nFinal Answer: 5.0526"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [23, 64, 77, 2, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 2, 23, 64, 77]. Middle value(s) → median = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 16 = -344"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 18x = -360. Divide by 18: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 8 and 20."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (8×20)/4 = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 954 + -413"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 954 and -413: 954 + -413 = 541.\n</reasoning>\nFinal Answer: 541"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -496 ÷ 357"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -496 by 357. -496 ÷ 357 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 10/14 + 4/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/14 + 4/1. Common denominator = 7. Result = 33/7.\n</reasoning>\nFinal Answer: 33/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -518 ÷ 166"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -518 by 166. -518 ÷ 166 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/12 * 5/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/12) × (5/4) = (20/48) = 5/12 after simplification.\n</reasoning>\nFinal Answer: 5/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 32 = 12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 4x = -20. Divide by 4: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 19/10 * 14/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/10) × (14/13) = (266/130) = 133/65 after simplification.\n</reasoning>\nFinal Answer: 133/65"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [3, 18, 19] and B = [3, 8, 9, 12, 13], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [18, 19].\n</reasoning>\nFinal Answer: [18, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -42 = -742"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 20x = -700. Divide by 20: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 17/13 + 14/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/13 + 14/9. Common denominator = 117. Result = 335/117.\n</reasoning>\nFinal Answer: 335/117"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 30 ** 2 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 30²=900, then 25+900-32=893.\n</reasoning>\nFinal Answer: 893"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 334 - 247"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 247 from 334: 334 - 247 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 477 mod 120"
},
{
"role": "assistant",
"content": "<reasoning>\n477 mod 120: 477 = 120 × 3 + 117, so remainder = 117.\n</reasoning>\nFinal Answer: 117"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -10 = -418"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 24x = -408. Divide by 24: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 36 and height 49."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 36 × 49 = 882.0.\n</reasoning>\nFinal Answer: 882.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:10 and A = 37, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/10, so B = A × (10/4) = 37 × 10/4 = 92.5.\n</reasoning>\nFinal Answer: 92.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -121 mod -787"
},
{
"role": "assistant",
"content": "<reasoning>\n-121 mod -787: -121 = -787 × 0 + -121, so remainder = -121.\n</reasoning>\nFinal Answer: -121"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 5 = -495"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 25x = -500. Divide by 25: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -41 = -1266"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 25x = -1225. Divide by 25: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 4/9 / 7/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/9) ÷ (7/16) = (4/9) × (16/7) = 64/63.\n</reasoning>\nFinal Answer: 64/63"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -278 × 945"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -278 by 945: -278 × 945 = -262710.\n</reasoning>\nFinal Answer: -262710"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "8 is what percentage of 626?"
},
{
"role": "assistant",
"content": "<reasoning>\n(8/626) × 100 = 1.278%.\n</reasoning>\nFinal Answer: 1.278%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 14, 2 and height 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (14+2) × 10 = 80.0.\n</reasoning>\nFinal Answer: 80.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 967 + 166"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 967 and 166: 967 + 166 = 1133.\n</reasoning>\nFinal Answer: 1133"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 23 = -395"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 19x = -418. Divide by 19: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 878 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 878 × (1 - 45/100) = 878 × 0.55 = 482.9.\n</reasoning>\nFinal Answer: 482.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -45 = 123"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 24x = 168. Divide by 24: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [5, 8, 10, 17] and B = [1, 7, 12, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 5, 7, 8, 10, 12, 17, 19].\n</reasoning>\nFinal Answer: [1, 5, 7, 8, 10, 12, 17, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [3, 8, 10, 14, 15, 17, 19] and B = [1, 2, 7, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [19].\n</reasoning>\nFinal Answer: [19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 522 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 522 × (1 + 17/100) = 522 × 1.17 = 610.74.\n</reasoning>\nFinal Answer: 610.74"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 551 ÷ -902"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 551 by -902. 551 ÷ -902 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -413 + -974"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -413 and -974: -413 + -974 = -1387.\n</reasoning>\nFinal Answer: -1387"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/10 * 15/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/10) × (15/17) = (300/170) = 30/17 after simplification.\n</reasoning>\nFinal Answer: 30/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 3/4 / 9/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/4) ÷ (9/1) = (3/4) × (1/9) = 1/12.\n</reasoning>\nFinal Answer: 1/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -102 + 783"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -102 and 783: -102 + 783 = 681.\n</reasoning>\nFinal Answer: 681"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [47, 56, 65, 74, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 47 and common difference 9. Next term = 83 + 9 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 7/5 / 17/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/5) ÷ (17/3) = (7/5) × (3/17) = 21/85.\n</reasoning>\nFinal Answer: 21/85"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [28, 54, 45, 2, 77, 65, 12, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 341/8 = 42.625.\n</reasoning>\nFinal Answer: 42.625"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 12/12 / 17/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/12) ÷ (17/20) = (12/12) × (20/17) = 20/17.\n</reasoning>\nFinal Answer: 20/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:18 and A = 8, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/18, so B = A × (18/29) = 8 × 18/29 = 4.9655.\n</reasoning>\nFinal Answer: 4.9655"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -788 + -926"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -788 and -926: -788 + -926 = -1714.\n</reasoning>\nFinal Answer: -1714"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (3 + 7) * (28 - 18)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (3+7)=10, (28-18)=10, then 10×10=100.\n</reasoning>\nFinal Answer: 100"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 22 and 149."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(22,149) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the mode of: [45, 78, 27, 66, 97, 40, 30, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {45: 1, 78: 1, 27: 1, 66: 1, 97: 1, 40: 1, 30: 1, 87: 1}. Most frequent: [45, 78, 27, 66, 97, 40, 30, 87].\n</reasoning>\nFinal Answer: [45, 78,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (31 + 44) * (12 - 27)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (31+44)=75, (12-27)=-15, then 75×-15=-1125.\n</reasoning>\nFinal Answer: -1125"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 12 = -60"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 18x = -72. Divide by 18: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 5/11 / 15/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/11) ÷ (15/3) = (5/11) × (3/15) = 1/11.\n</reasoning>\nFinal Answer: 1/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 82 × -201"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 82 by -201: 82 × -201 = -16482.\n</reasoning>\nFinal Answer: -16482"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹3524 at 11% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 3524 × 11 × 5 / 100 = 1938.2.\n</reasoning>\nFinal Answer: 1938.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 336 × 215"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 336 by 215: 336 × 215 = 72240.\n</reasoning>\nFinal Answer: 72240"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "191 is what percentage of 406?"
},
{
"role": "assistant",
"content": "<reasoning>\n(191/406) × 100 = 47.0443%.\n</reasoning>\nFinal Answer: 47.0443%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 440 km apart. Their speeds are 77 km/h and 89 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 77+89=166 km/h. Time = 440/166 = 2.6506 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 21 and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (21×36)/3 = 252.\n</reasoning>\nFinal Answer: 252"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Decrease 467 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 467 × (1 - 17/100) = 467 × 0.83 = 387.61.\n</reasoning>\nFinal Answer: 387.61"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:2 and A = 81, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/2, so B = A × (2/8) = 81 × 2/8 = 20.25.\n</reasoning>\nFinal Answer: 20.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 32 ** 2 - 36"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 32²=1024, then 39+1024-36=1027.\n</reasoning>\nFinal Answer: 1027"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -409 ÷ 597"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -409 by 597. -409 ÷ 597 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -671 mod -599"
},
{
"role": "assistant",
"content": "<reasoning>\n-671 mod -599: -671 = -599 × 1 + -72, so remainder = -72.\n</reasoning>\nFinal Answer: -72"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 * 45 + 26 * 6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 39×45=1755 and 26×6=156, then add: 1911.\n</reasoning>\nFinal Answer: 1911"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:35 and A = 26, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/35, so B = A × (35/38) = 26 × 35/38 = 23.9474.\n</reasoning>\nFinal Answer: 23.9474"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -700 - -715"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -715 from -700: -700 - -715 = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 56 km/h. How far does it travel in 6 hours and 28 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 28/60 = 6.4667 hours. Distance = speed × time = 56 × 6.4667 = 362.1333 km.\n</reasoning>\nFinal Answer: 362.1333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -28 + 826"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -28 and 826: -28 + 826 = 798.\n</reasoning>\nFinal Answer: 798"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 72 and height 78."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 72 × 78 = 2808.0.\n</reasoning>\nFinal Answer: 2808.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [39, 44, 76, 84, 80, 92, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [39, 44, 52, 76, 80, 84, 92]. Middle value(s) → median = 76.\n</reasoning>\nFinal Answer: 76"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [1, 9, 10, 12, 15, 16, 17, 19] and B = [5, 8, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 5, 8, 9, 10, 12, 15, 16, 17, 19].\n</reasoning>\nFinal Answer: [1, 5, 8, 9, 10, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the median of: [66, 88, 93, 85, 19, 76, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [19, 65, 66, 76, 85, 88, 93]. Middle value(s) → median = 76.\n</reasoning>\nFinal Answer: 76"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:2 and A = 25, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/2, so B = A × (2/23) = 25 × 2/23 = 2.1739.\n</reasoning>\nFinal Answer: 2.1739"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 17 * 5 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 17×5=85, then 19+85-45=59.\n</reasoning>\nFinal Answer: 59"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [97, 96, 77, 81, 85, 60, 20, 26, 96, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 20 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (50 + 22) * (14 - 2)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (50+22)=72, (14-2)=12, then 72×12=864.\n</reasoning>\nFinal Answer: 864"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 16/15 - 19/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/15 - 19/14. LCD = 210. Result = -61/210.\n</reasoning>\nFinal Answer: -61/210"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [44, 85, 54, 80, 76, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {44: 1, 85: 1, 54: 1, 80: 1, 76: 1, 35: 1}. Most frequent: [44, 85, 54, 80, 76, 35].\n</reasoning>\nFinal Answer: [44, 85, 54, 80, 76, 35]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (37 + 14) * (23 - 26)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (37+14)=51, (23-26)=-3, then 51×-3=-153.\n</reasoning>\nFinal Answer: -153"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -11 = -557"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 13x = -546. Divide by 13: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -65 - 175"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 175 from -65: -65 - 175 = -240.\n</reasoning>\nFinal Answer: -240"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹6199 at 18% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 6199 × 18 × 5 / 100 = 5579.1.\n</reasoning>\nFinal Answer: 5579.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 80% of 440?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 440 = (80/100) × 440 = 352.0.\n</reasoning>\nFinal Answer: 352.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 599 ÷ -272"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 599 by -272. 599 ÷ -272 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/17 / 10/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/17) ÷ (10/18) = (3/17) × (18/10) = 27/85.\n</reasoning>\nFinal Answer: 27/85"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -803 ÷ -227"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -803 by -227. -803 ÷ -227 = 3 (integer division).\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [17, 22, 27, 32, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 17 and common difference 5. Next term = 37 + 5 = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "An item costs ₹1275. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1275 × 28/100 = 357.0. Total = 1275 + 357.0 = 1632.0.\n</reasoning>\nFinal Answer: 1632.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
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