messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 35 * 18 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 35×18=630, then 1+630-22=609.\n</reasoning>\nFinal Answer: 609"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -599 mod -245"
},
{
"role": "assistant",
"content": "<reasoning>\n-599 mod -245: -599 = -245 × 2 + -109, so remainder = -109.\n</reasoning>\nFinal Answer: -109"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 494 - 580"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 580 from 494: 494 - 580 = -86.\n</reasoning>\nFinal Answer: -86"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 101 × 440"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 101 by 440: 101 × 440 = 44440.\n</reasoning>\nFinal Answer: 44440"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -448 ÷ -346"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -448 by -346. -448 ÷ -346 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 95 and width 44."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(95+44) = 2×139 = 278.\n</reasoning>\nFinal Answer: 278"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -319 ÷ -643"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -319 by -643. -319 ÷ -643 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 6 days. How many days will 12 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 6 = 18 worker-days. New time = 18 / 12 = 1.5 days.\n</reasoning>\nFinal Answer: 1.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 8/10 / 18/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/10) ÷ (18/15) = (8/10) × (15/18) = 2/3.\n</reasoning>\nFinal Answer: 2/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 95 and height 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 95 × 29 = 1377.5.\n</reasoning>\nFinal Answer: 1377.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 11 and 8."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (11×8)/1 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 98 and width 36."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(98+36) = 2×134 = 268.\n</reasoning>\nFinal Answer: 268"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 17/14 + 1/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/14 + 1/8. Common denominator = 56. Result = 75/56.\n</reasoning>\nFinal Answer: 75/56"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [45, 77, 15, 52, 88, 40, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 409/7 = 58.4286.\n</reasoning>\nFinal Answer: 58.4286"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [6, 21, 36, 51, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 6 and common difference 15. Next term = 66 + 15 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 29 and 140."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(29,140) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -993 + -30"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -993 and -30: -993 + -30 = -1023.\n</reasoning>\nFinal Answer: -1023"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 980 mod 405"
},
{
"role": "assistant",
"content": "<reasoning>\n980 mod 405: 980 = 405 × 2 + 170, so remainder = 170.\n</reasoning>\nFinal Answer: 170"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 13 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 13 = 143 worker-days. New time = 143 / 18 = 7.9444 days.\n</reasoning>\nFinal Answer: 7.9444"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 657 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 657 × (1 - 25/100) = 657 × 0.75 = 492.75.\n</reasoning>\nFinal Answer: 492.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 3/10 * 1/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/10) × (1/4) = (3/40) = 3/40 after simplification.\n</reasoning>\nFinal Answer: 3/40"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:27 and A = 4, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/27, so B = A × (27/33) = 4 × 27/33 = 3.2727.\n</reasoning>\nFinal Answer: 3.2727"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 390 ÷ -294"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 390 by -294. 390 ÷ -294 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -737 mod 82"
},
{
"role": "assistant",
"content": "<reasoning>\n-737 mod 82: -737 = 82 × -9 + 1, so remainder = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 42 and common difference 5, find the 41th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 42 + (41-1)×5 = 42 + 200 = 242.\n</reasoning>\nFinal Answer: 242"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -34 = -21"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 1x = 13. Divide by 1: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 25 and height 69."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 25 × 69 = 1725.\n</reasoning>\nFinal Answer: 1725"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 * 5 + 43 * 40"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 48×5=240 and 43×40=1720, then add: 1960.\n</reasoning>\nFinal Answer: 1960"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -123 - 981"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 981 from -123: -123 - 981 = -1104.\n</reasoning>\nFinal Answer: -1104"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 44 ** 2 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 44²=1936, then 44+1936-17=1963.\n</reasoning>\nFinal Answer: 1963"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 871 - -481"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -481 from 871: 871 - -481 = 1352.\n</reasoning>\nFinal Answer: 1352"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 6, 11, 13, 15, 16, 17] and B = [1, 7, 9, 11, 16], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 4, 6, 7, 9, 11, 13, 15, 16, 17].\n</reasoning>\nFinal Answer: [1, 3, 4,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 855 km apart. Their speeds are 118 km/h and 41 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 118+41=159 km/h. Time = 855/159 = 5.3774 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 17/14 * 5/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/14) × (5/15) = (85/210) = 17/42 after simplification.\n</reasoning>\nFinal Answer: 17/42"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -714 + 366"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -714 and 366: -714 + 366 = -348.\n</reasoning>\nFinal Answer: -348"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "142 is what percentage of 143?"
},
{
"role": "assistant",
"content": "<reasoning>\n(142/143) × 100 = 99.3007%.\n</reasoning>\nFinal Answer: 99.3007%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 38 and height 40."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 38 × 40 = 760.0.\n</reasoning>\nFinal Answer: 760.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 506 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 20%: 506 × (1 + 20/100) = 506 × 1.2 = 607.2.\n</reasoning>\nFinal Answer: 607.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -45 = 295"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 17x = 340. Divide by 17: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [38, 51, 64, 77, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 38 and common difference 13. Next term = 90 + 13 = 103.\n</reasoning>\nFinal Answer: 103"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the range of: [7, 49, 31, 9, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 49 - 7 = 42.\n</reasoning>\nFinal Answer: 42"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 1/8 * 8/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/8) × (8/3) = (8/24) = 1/3 after simplification.\n</reasoning>\nFinal Answer: 1/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 70 km/h. How far does it travel in 2 hours and 59 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 59/60 = 2.9833 hours. Distance = speed × time = 70 × 2.9833 = 208.8333 km.\n</reasoning>\nFinal Answer: 208.8333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 67 and height 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 67 × 32 = 1072.0.\n</reasoning>\nFinal Answer: 1072.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -39 = -325"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 13x = -286. Divide by 13: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -510 × 580"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -510 by 580: -510 × 580 = -295800.\n</reasoning>\nFinal Answer: -295800"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 284 × -101"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 284 by -101: 284 × -101 = -28684.\n</reasoning>\nFinal Answer: -28684"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 542 + 635"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 542 and 635: 542 + 635 = 1177.\n</reasoning>\nFinal Answer: 1177"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/10 * 5/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/10) × (5/1) = (100/10) = 10 after simplification.\n</reasoning>\nFinal Answer: 10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (20)x + (-144) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 20² - 4×4×-144 = 2704. √discriminant = 52. x = (-(20) ± 52) / (2×4). Solutions: x = -9 or x = 4.\n</reasoning>\nFinal Answer: x = -9 or x = 4"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Is 100 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n100 = 2 × 50, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -13 = -838"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 25x = -825. Divide by 25: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -796 ÷ 316"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -796 by 316. -796 ÷ 316 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 289 × -401"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 289 by -401: 289 × -401 = -115889.\n</reasoning>\nFinal Answer: -115889"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -55 + -500"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -55 and -500: -55 + -500 = -555.\n</reasoning>\nFinal Answer: -555"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 162 km/h. How far does it travel in 3 hours and 7 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 7/60 = 3.1167 hours. Distance = speed × time = 162 × 3.1167 = 504.9 km.\n</reasoning>\nFinal Answer: 504.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 4/4 / 15/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/4) ÷ (15/15) = (4/4) × (15/15) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 11/15 / 1/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/15) ÷ (1/7) = (11/15) × (7/1) = 77/15.\n</reasoning>\nFinal Answer: 77/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 123 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 123 × (1 + 80/100) = 123 × 1.8 = 221.4.\n</reasoning>\nFinal Answer: 221.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 9, 13, 14, 17] and B = [1, 3, 4, 5, 9, 12, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 13, 14, 17].\n</reasoning>\nFinal Answer: [2, 13, 14, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 806 km apart. Their speeds are 63 km/h and 110 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 63+110=173 km/h. Time = 806/173 = 4.659 hours.\n</reasoning>\nFinal Answe... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 23 and width 5."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(23+5) = 2×28 = 56.\n</reasoning>\nFinal Answer: 56"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the median of: [46, 54, 35, 90, 65, 4, 30, 95, 32, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 30, 32, 35, 46, 54, 65, 74, 90, 95]. Middle value(s) → median = 50.0.\n</reasoning>\nFinal Answer: 50.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 39:19 and A = 87, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 39/19, so B = A × (19/39) = 87 × 19/39 = 42.3846.\n</reasoning>\nFinal Answer: 42.3846"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 8, 26, and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 8 + 26 + 30 = 64.\n</reasoning>\nFinal Answer: 64"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "What is 5% of 784?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 784 = (5/100) × 784 = 39.2.\n</reasoning>\nFinal Answer: 39.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -6 = -406"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 20x = -400. Divide by 20: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -238 - 396"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 396 from -238: -238 - 396 = -634.\n</reasoning>\nFinal Answer: -634"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 187 and 184."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(187,184) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the median of: [60, 88, 31, 44, 75, 74, 13, 16, 20, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [13, 16, 20, 31, 44, 45, 60, 74, 75, 88]. Middle value(s) → median = 44.5.\n</reasoning>\nFinal Answer: 44.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the median of: [74, 83, 52, 71, 98, 29, 72]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [29, 52, 71, 72, 74, 83, 98]. Middle value(s) → median = 72.\n</reasoning>\nFinal Answer: 72"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 79 and height 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 79 × 29 = 1145.5.\n</reasoning>\nFinal Answer: 1145.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:48 and A = 85, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/48, so B = A × (48/3) = 85 × 48/3 = 1360.0.\n</reasoning>\nFinal Answer: 1360.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [43, 35, 32, 100, 57, 76, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {43: 1, 35: 1, 32: 1, 100: 1, 57: 1, 76: 1, 73: 1}. Most frequent: [43, 35, 32, 100, 57, 76, 73].\n</reasoning>\nFinal Answer: [43, 35, 32, 100, 57... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 1 = 698"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 17x = 697. Divide by 17: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 13/6 * 10/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/6) × (10/3) = (130/18) = 65/9 after simplification.\n</reasoning>\nFinal Answer: 65/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 587 km apart. Their speeds are 84 km/h and 82 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 84+82=166 km/h. Time = 587/166 = 3.5361 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "3 is what percentage of 11?"
},
{
"role": "assistant",
"content": "<reasoning>\n(3/11) × 100 = 27.2727%.\n</reasoning>\nFinal Answer: 27.2727%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Given A = [5, 6, 7, 9, 11, 16] and B = [5, 13, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [5].\n</reasoning>\nFinal Answer: [5]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 2/2 / 17/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/2) ÷ (17/14) = (2/2) × (14/17) = 14/17.\n</reasoning>\nFinal Answer: 14/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [69, 82, 91, 7, 13, 60, 69, 49, 48, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 509/10 = 50.9.\n</reasoning>\nFinal Answer: 50.9"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "An item costs ₹314. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 314 × 5/100 = 15.7. Total = 314 + 15.7 = 329.7.\n</reasoning>\nFinal Answer: 329.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:25 and A = 5, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/25, so B = A × (25/31) = 5 × 25/31 = 4.0323.\n</reasoning>\nFinal Answer: 4.0323"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 70 km/h. How far does it travel in 1 hours and 39 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 39/60 = 1.6500 hours. Distance = speed × time = 70 × 1.6500 = 115.5 km.\n</reasoning>\nFinal Answer: 115.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -134 + 175"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -134 and 175: -134 + 175 = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -415 + 762"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -415 and 762: -415 + 762 = 347.\n</reasoning>\nFinal Answer: 347"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-3)x + (-90) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -3² - 4×3×-90 = 1089. √discriminant = 33. x = (-(-3) ± 33) / (2×3). Solutions: x = -5 or x = 6.\n</reasoning>\nFinal Answer: x = -5 or x = 6"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "51 is what percentage of 378?"
},
{
"role": "assistant",
"content": "<reasoning>\n(51/378) × 100 = 13.4921%.\n</reasoning>\nFinal Answer: 13.4921%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 485 - -468"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -468 from 485: 485 - -468 = 953.\n</reasoning>\nFinal Answer: 953"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 31 and common difference 13, find the 18th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 31 + (18-1)×13 = 31 + 221 = 252.\n</reasoning>\nFinal Answer: 252"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the median of: [29, 60, 89, 5, 84, 35, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 29, 35, 53, 60, 84, 89]. Middle value(s) → median = 53.\n</reasoning>\nFinal Answer: 53"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹39122 at 20% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 39122 × 20 × 3 / 100 = 23473.2.\n</reasoning>\nFinal Answer: 23473.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 2/6 * 19/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/6) × (19/9) = (38/54) = 19/27 after simplification.\n</reasoning>\nFinal Answer: 19/27"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 42 km/h. How far does it travel in 1 hours and 44 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 44/60 = 1.7333 hours. Distance = speed × time = 42 × 1.7333 = 72.8 km.\n</reasoning>\nFinal Answer: 72.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [84, 48, 4, 20, 62, 11, 98, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 4 = 94.\n</reasoning>\nFinal Answer: 94"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 893 + 449"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 893 and 449: 893 + 449 = 1342.\n</reasoning>\nFinal Answer: 1342"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 6, 7, 12, 13, 18, 19] and B = [6, 8, 13, 17, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 5, 6, 7, 8, 12, 13, 17, 18, 19].\n</reasoning>\nFinal Answer: [1, 5, 6, 7,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -11 = 364"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 25x = 375. Divide by 25: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 3% of 957?"
},
{
"role": "assistant",
"content": "<reasoning>\n3% of 957 = (3/100) × 957 = 28.71.\n</reasoning>\nFinal Answer: 28.71"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:28 and A = 42, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/28, so B = A × (28/17) = 42 × 28/17 = 69.1765.\n</reasoning>\nFinal Answer: 69.1765"
}
] | medium | [
"ratio",
"proportion"
] |
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