messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "480 is what percentage of 731?"
},
{
"role": "assistant",
"content": "<reasoning>\n(480/731) × 100 = 65.6635%.\n</reasoning>\nFinal Answer: 65.6635%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -21 = -81"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 6x = -60. Divide by 6: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -10 = 17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 9x = 27. Divide by 9: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 15/11 - 15/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/11 - 15/12. LCD = 44. Result = 5/44.\n</reasoning>\nFinal Answer: 5/44"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 18/7 - 9/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/7 - 9/14. LCD = 14. Result = 27/14.\n</reasoning>\nFinal Answer: 27/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -61 - -485"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -485 from -61: -61 - -485 = 424.\n</reasoning>\nFinal Answer: 424"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹3836. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3836 × 18/100 = 690.48. Total = 3836 + 690.48 = 4526.48.\n</reasoning>\nFinal Answer: 4526.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -526 - -898"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -898 from -526: -526 - -898 = 372.\n</reasoning>\nFinal Answer: 372"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:20 and A = 98, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/20, so B = A × (20/9) = 98 × 20/9 = 217.7778.\n</reasoning>\nFinal Answer: 217.7778"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 955 + 589"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 955 and 589: 955 + 589 = 1544.\n</reasoning>\nFinal Answer: 1544"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (46 + 5) * (20 - 22)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (46+5)=51, (20-22)=-2, then 51×-2=-102.\n</reasoning>\nFinal Answer: -102"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -939 × 277"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -939 by 277: -939 × 277 = -260103.\n</reasoning>\nFinal Answer: -260103"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [63, 46, 27, 87, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 282/5 = 56.4.\n</reasoning>\nFinal Answer: 56.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 24, 24, and 26."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 24 + 24 + 26 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -47 = -410"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 11x = -363. Divide by 11: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:44 and A = 100, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/44, so B = A × (44/48) = 100 × 44/48 = 91.6667.\n</reasoning>\nFinal Answer: 91.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 13/19 - 16/11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/19 - 16/11. LCD = 209. Result = -161/209.\n</reasoning>\nFinal Answer: -161/209"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -31 = -831"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 25x = -800. Divide by 25: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -21 = 966"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 21x = 987. Divide by 21: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 * 35 + 1 * 39"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 37×35=1295 and 1×39=39, then add: 1334.\n</reasoning>\nFinal Answer: 1334"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 518 km apart. Their speeds are 68 km/h and 46 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 68+46=114 km/h. Time = 518/114 = 4.5439 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 21 and common difference 2, find the 27th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 21 + (27-1)×2 = 21 + 52 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 99 and width 26."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(99+26) = 2×125 = 250.\n</reasoning>\nFinal Answer: 250"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Increase 571 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 571 × (1 + 5/100) = 571 × 1.05 = 599.55.\n</reasoning>\nFinal Answer: 599.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -873 ÷ -156"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -873 by -156. -873 ÷ -156 = 5 (integer division).\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 51 and width 83."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(51+83) = 2×134 = 268.\n</reasoning>\nFinal Answer: 268"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -23 = -463"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 20x = -440. Divide by 20: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:49 and A = 80, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/49, so B = A × (49/4) = 80 × 49/4 = 980.0.\n</reasoning>\nFinal Answer: 980.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -24 = 168"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 8x = 192. Divide by 8: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -13 = -301"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 12x = -288. Divide by 12: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 12 and 17."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (12×17)/1 = 204.\n</reasoning>\nFinal Answer: 204"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Decrease 663 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 663 × (1 - 20/100) = 663 × 0.8 = 530.4.\n</reasoning>\nFinal Answer: 530.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -3 = 405"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 24x = 408. Divide by 24: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 728 mod -569"
},
{
"role": "assistant",
"content": "<reasoning>\n728 mod -569: 728 = -569 × -2 + -410, so remainder = -410.\n</reasoning>\nFinal Answer: -410"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -33 = 151"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 8x = 184. Divide by 8: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 7 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 7 = 91 worker-days. New time = 91 / 15 = 6.0667 days.\n</reasoning>\nFinal Answer: 6.0667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 11/12 * 13/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/12) × (13/20) = (143/240) = 143/240 after simplification.\n</reasoning>\nFinal Answer: 143/240"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 334 km apart. Their speeds are 65 km/h and 52 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 65+52=117 km/h. Time = 334/117 = 2.8547 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 166 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 166 × (1 - 35/100) = 166 × 0.65 = 107.9.\n</reasoning>\nFinal Answer: 107.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (16)x + (-40) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 16² - 4×2×-40 = 576. √discriminant = 24. x = (-(16) ± 24) / (2×2). Solutions: x = -10 or x = 2.\n</reasoning>\nFinal Answer: x = -10 or x = 2"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 41 and width 88."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(41+88) = 2×129 = 258.\n</reasoning>\nFinal Answer: 258"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:17 and A = 41, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/17, so B = A × (17/17) = 41 × 17/17 = 41.0.\n</reasoning>\nFinal Answer: 41.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (25 + 32) * (50 - 9)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (25+32)=57, (50-9)=41, then 57×41=2337.\n</reasoning>\nFinal Answer: 2337"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 5 and height 14."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 5 × 14 = 70.\n</reasoning>\nFinal Answer: 70"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [66, 47, 80, 47, 5, 97, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 430/7 = 61.4286.\n</reasoning>\nFinal Answer: 61.4286"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 611 km apart. Their speeds are 64 km/h and 57 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 64+57=121 km/h. Time = 611/121 = 5.0496 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 72 and width 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 72 × 25 = 1800.\n</reasoning>\nFinal Answer: 1800"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 231 - 878"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 878 from 231: 231 - 878 = -647.\n</reasoning>\nFinal Answer: -647"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:32 and A = 33, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/32, so B = A × (32/20) = 33 × 32/20 = 52.8.\n</reasoning>\nFinal Answer: 52.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 22 and common difference 5, find the 42th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 22 + (42-1)×5 = 22 + 205 = 227.\n</reasoning>\nFinal Answer: 227"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 15 and height 52."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 15 × 52 = 780.\n</reasoning>\nFinal Answer: 780"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 5, 7, 16, 17, 19] and B = [2, 5, 11, 13, 18, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 7, 11, 13, 16, 17, 18].\n</reasoning>\nFin... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Ravi has 184 apples and buys 99 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 184 + 99 = 283.\n</reasoning>\nFinal Answer: 283"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 74 and width 26."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(74+26) = 2×100 = 200.\n</reasoning>\nFinal Answer: 200"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [38, 56, 74, 92, 110]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 38 and common difference 18. Next term = 110 + 18 = 128.\n</reasoning>\nFinal Answer: 128"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 29 - 664"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 664 from 29: 29 - 664 = -635.\n</reasoning>\nFinal Answer: -635"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [41, 34, 69, 52, 30, 24, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 301/7 = 43.0.\n</reasoning>\nFinal Answer: 43.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 19/18 + 10/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/18 + 10/18. Common denominator = 18. Result = 29/18.\n</reasoning>\nFinal Answer: 29/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 254 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 254 × (1 + 30/100) = 254 × 1.3 = 330.2.\n</reasoning>\nFinal Answer: 330.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 7 = -68"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 25x = -75. Divide by 25: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -28 = 98"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 3x = 126. Divide by 3: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 36 ** 2 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 36²=1296, then 43+1296-6=1333.\n</reasoning>\nFinal Answer: 1333"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "6 workers can complete a job in 25 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 6 × 25 = 150 worker-days. New time = 150 / 14 = 10.7143 days.\n</reasoning>\nFinal Answer: 10.7143"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (5 + 17) * (39 - 32)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (5+17)=22, (39-32)=7, then 22×7=154.\n</reasoning>\nFinal Answer: 154"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 22 = -1096"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 26x = -1118. Divide by 26: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -511 + -800"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -511 and -800: -511 + -800 = -1311.\n</reasoning>\nFinal Answer: -1311"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 37 = -683"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 24x = -720. Divide by 24: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 736 × 161"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 736 by 161: 736 × 161 = 118496.\n</reasoning>\nFinal Answer: 118496"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [16, 47, 91, 44, 24]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [16, 24, 44, 47, 91]. Middle value(s) → median = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 41 * 25 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 41×25=1025, then 25+1025-12=1038.\n</reasoning>\nFinal Answer: 1038"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -14 = -796"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 17x = -782. Divide by 17: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 5/19 / 16/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/19) ÷ (16/5) = (5/19) × (5/16) = 25/304.\n</reasoning>\nFinal Answer: 25/304"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [48, 90, 92, 91, 49, 48, 5, 12, 55, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 12, 48, 48, 48, 49, 55, 90, 91, 92]. Middle value(s) → median = 48.5.\n</reasoning>\nFinal Answer: 48.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 369 + -805"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 369 and -805: 369 + -805 = -436.\n</reasoning>\nFinal Answer: -436"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 5% of 47?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 47 = (5/100) × 47 = 2.35.\n</reasoning>\nFinal Answer: 2.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹2252. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2252 × 28/100 = 630.56. Total = 2252 + 630.56 = 2882.56.\n</reasoning>\nFinal Answer: 2882.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 * 29 + 10 * 45"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 3×29=87 and 10×45=450, then add: 537.\n</reasoning>\nFinal Answer: 537"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 45 ** 2 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 45²=2025, then 39+2025-38=2026.\n</reasoning>\nFinal Answer: 2026"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -298 × 1000"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -298 by 1000: -298 × 1000 = -298000.\n</reasoning>\nFinal Answer: -298000"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -696 × -381"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -696 by -381: -696 × -381 = 265176.\n</reasoning>\nFinal Answer: 265176"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 288 mod 608"
},
{
"role": "assistant",
"content": "<reasoning>\n288 mod 608: 288 = 608 × 0 + 288, so remainder = 288.\n</reasoning>\nFinal Answer: 288"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 1 = -153"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 14x = -154. Divide by 14: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 120 km/h. How far does it travel in 3 hours and 57 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 57/60 = 3.9500 hours. Distance = speed × time = 120 × 3.9500 = 474.0 km.\n</reasoning>\nFinal Answer: 474.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 * 45 + 17 * 5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 50×45=2250 and 17×5=85, then add: 2335.\n</reasoning>\nFinal Answer: 2335"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "417 is what percentage of 778?"
},
{
"role": "assistant",
"content": "<reasoning>\n(417/778) × 100 = 53.599%.\n</reasoning>\nFinal Answer: 53.599%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 19 = 801"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 23x = 782. Divide by 23: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 35 = 683"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 27x = 648. Divide by 27: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -3 = 30"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 1x = 33. Divide by 1: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 345 km apart. Their speeds are 85 km/h and 117 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 85+117=202 km/h. Time = 345/202 = 1.7079 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 4, 30 and height 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (4+30) × 32 = 544.0.\n</reasoning>\nFinal Answer: 544.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 403 km apart. Their speeds are 107 km/h and 72 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 107+72=179 km/h. Time = 403/179 = 2.2514 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -968 mod -905"
},
{
"role": "assistant",
"content": "<reasoning>\n-968 mod -905: -968 = -905 × 1 + -63, so remainder = -63.\n</reasoning>\nFinal Answer: -63"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 883 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 883 × (1 - 35/100) = 883 × 0.65 = 573.95.\n</reasoning>\nFinal Answer: 573.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 7/5 + 18/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/5 + 18/19. Common denominator = 95. Result = 223/95.\n</reasoning>\nFinal Answer: 223/95"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 107 × 930"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 107 by 930: 107 × 930 = 99510.\n</reasoning>\nFinal Answer: 99510"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -507 × 246"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -507 by 246: -507 × 246 = -124722.\n</reasoning>\nFinal Answer: -124722"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 654 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 654 × (1 - 20/100) = 654 × 0.8 = 523.2.\n</reasoning>\nFinal Answer: 523.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 6 * 4 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 6×4=24, then 48+24-44=28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 4/19 - 18/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/19 - 18/13. LCD = 247. Result = -290/247.\n</reasoning>\nFinal Answer: -290/247"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -834 × 545"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -834 by 545: -834 × 545 = -454530.\n</reasoning>\nFinal Answer: -454530"
}
] | medium | [
"arithmetic",
"computation"
] |
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