messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "An item costs ₹2676. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2676 × 18/100 = 481.68. Total = 2676 + 481.68 = 3157.68.\n</reasoning>\nFinal Answer: 3157.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [8, 11, 18] and B = [3, 6, 9, 12, 17, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 6, 8, 9, 11, 12, 17, 18].\n</reasoning>\nFinal Answer: [3, 6, 8, 9, 11, 12, 17, 18]"
}... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 16/4 / 4/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/4) ÷ (4/17) = (16/4) × (17/4) = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -19 = -195"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 16x = -176. Divide by 16: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹4215. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4215 × 28/100 = 1180.2. Total = 4215 + 1180.2 = 5395.2.\n</reasoning>\nFinal Answer: 5395.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [23, 32, 41, 50, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 23 and common difference 9. Next term = 59 + 9 = 68.\n</reasoning>\nFinal Answer: 68"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 22 = -434"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 12x = -456. Divide by 12: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:9 and A = 43, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/9, so B = A × (9/8) = 43 × 9/8 = 48.375.\n</reasoning>\nFinal Answer: 48.375"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 754 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 754 × (1 - 25/100) = 754 × 0.75 = 565.5.\n</reasoning>\nFinal Answer: 565.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/18 + 20/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/18 + 20/20. Common denominator = 18. Result = 31/18.\n</reasoning>\nFinal Answer: 31/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:50 and A = 34, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/50, so B = A × (50/16) = 34 × 50/16 = 106.25.\n</reasoning>\nFinal Answer: 106.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 45 and width 70."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(45+70) = 2×115 = 230.\n</reasoning>\nFinal Answer: 230"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "An item costs ₹300. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 300 × 12/100 = 36.0. Total = 300 + 36.0 = 336.0.\n</reasoning>\nFinal Answer: 336.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [38, 48, 58, 68, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 38 and common difference 10. Next term = 78 + 10 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 17 and common difference 1, find the 47th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 17 + (47-1)×1 = 17 + 46 = 63.\n</reasoning>\nFinal Answer: 63"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -857 ÷ 507"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -857 by 507. -857 ÷ 507 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 88 and height 51."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 88 × 51 = 2244.0.\n</reasoning>\nFinal Answer: 2244.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 * 39 + 8 * 36"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 3×39=117 and 8×36=288, then add: 405.\n</reasoning>\nFinal Answer: 405"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 13, 29, and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 13 + 29 + 36 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 13 and height 57."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 13 × 57 = 370.5.\n</reasoning>\nFinal Answer: 370.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 920 × 733"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 920 by 733: 920 × 733 = 674360.\n</reasoning>\nFinal Answer: 674360"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 81 and height 18."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 81 × 18 = 729.0.\n</reasoning>\nFinal Answer: 729.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 446 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 446 × (1 - 75/100) = 446 × 0.25 = 111.5.\n</reasoning>\nFinal Answer: 111.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:39 and A = 45, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/39, so B = A × (39/30) = 45 × 39/30 = 58.5.\n</reasoning>\nFinal Answer: 58.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:46 and A = 35, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/46, so B = A × (46/43) = 35 × 46/43 = 37.4419.\n</reasoning>\nFinal Answer: 37.4419"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 23, 27, and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 23 + 27 + 37 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 82 and width 93."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(82+93) = 2×175 = 350.\n</reasoning>\nFinal Answer: 350"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Ravi has 148 apples and buys 134 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 148 + 134 = 282.\n</reasoning>\nFinal Answer: 282"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -547 - 212"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 212 from -547: -547 - 212 = -759.\n</reasoning>\nFinal Answer: -759"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 469 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 469 × (1 + 45/100) = 469 × 1.45 = 680.05.\n</reasoning>\nFinal Answer: 680.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:25 and A = 64, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/25, so B = A × (25/42) = 64 × 25/42 = 38.0952.\n</reasoning>\nFinal Answer: 38.0952"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 85 and height 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 85 × 10 = 425.0.\n</reasoning>\nFinal Answer: 425.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 419 × -87"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 419 by -87: 419 × -87 = -36453.\n</reasoning>\nFinal Answer: -36453"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:17 and A = 1, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/17, so B = A × (17/7) = 1 × 17/7 = 2.4286.\n</reasoning>\nFinal Answer: 2.4286"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 9/2 - 11/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/2 - 11/6. LCD = 6. Result = 8/3.\n</reasoning>\nFinal Answer: 8/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:25 and A = 53, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/25, so B = A × (25/17) = 53 × 25/17 = 77.9412.\n</reasoning>\nFinal Answer: 77.9412"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 60% of 516?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 516 = (60/100) × 516 = 309.6.\n</reasoning>\nFinal Answer: 309.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 * 40 + 12 * 50"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 24×40=960 and 12×50=600, then add: 1560.\n</reasoning>\nFinal Answer: 1560"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 5/2 / 5/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/2) ÷ (5/15) = (5/2) × (15/5) = 15/2.\n</reasoning>\nFinal Answer: 15/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 34 and 3."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (34×3)/1 = 102.\n</reasoning>\nFinal Answer: 102"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -832 - 332"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 332 from -832: -832 - 332 = -1164.\n</reasoning>\nFinal Answer: -1164"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 180 km/h. How far does it travel in 5 hours and 25 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 25/60 = 5.4167 hours. Distance = speed × time = 180 × 5.4167 = 975.0 km.\n</reasoning>\nFinal Answer: 975.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 41 = -1077"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 26x = -1118. Divide by 26: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 51 and height 47."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 51 × 47 = 2397.\n</reasoning>\nFinal Answer: 2397"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 810 × -642"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 810 by -642: 810 × -642 = -520020.\n</reasoning>\nFinal Answer: -520020"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 742 + 179"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 742 and 179: 742 + 179 = 921.\n</reasoning>\nFinal Answer: 921"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 17% of 724?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 724 = (17/100) × 724 = 123.08.\n</reasoning>\nFinal Answer: 123.08"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "218 is what percentage of 236?"
},
{
"role": "assistant",
"content": "<reasoning>\n(218/236) × 100 = 92.3729%.\n</reasoning>\nFinal Answer: 92.3729%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -672 × -966"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -672 by -966: -672 × -966 = 649152.\n</reasoning>\nFinal Answer: 649152"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 21 = 145"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 4x = 124. Divide by 4: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 5/12 - 5/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/12 - 5/4. LCD = 12. Result = -5/6.\n</reasoning>\nFinal Answer: -5/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -374 + -218"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -374 and -218: -374 + -218 = -592.\n</reasoning>\nFinal Answer: -592"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 54 and height 65."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 54 × 65 = 3510.\n</reasoning>\nFinal Answer: 3510"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 * 35 + 37 * 6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 6×35=210 and 37×6=222, then add: 432.\n</reasoning>\nFinal Answer: 432"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 12% of 368?"
},
{
"role": "assistant",
"content": "<reasoning>\n12% of 368 = (12/100) × 368 = 44.16.\n</reasoning>\nFinal Answer: 44.16"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 5/18 + 9/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/18 + 9/8. Common denominator = 72. Result = 101/72.\n</reasoning>\nFinal Answer: 101/72"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 * 15 + 28 * 34"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 23×15=345 and 28×34=952, then add: 1297.\n</reasoning>\nFinal Answer: 1297"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -199 × -611"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -199 by -611: -199 × -611 = 121589.\n</reasoning>\nFinal Answer: 121589"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [44, 65, 71, 90, 22, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {44: 1, 65: 1, 71: 1, 90: 1, 22: 1, 61: 1}. Most frequent: [44, 65, 71, 90, 22, 61].\n</reasoning>\nFinal Answer: [44, 65, 71, 90, 22, 61]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 5 = 1281"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 29x = 1276. Divide by 29: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹938. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 938 × 12/100 = 112.56. Total = 938 + 112.56 = 1050.56.\n</reasoning>\nFinal Answer: 1050.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹12415 at 15% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 12415 × 15 × 6 / 100 = 11173.5.\n</reasoning>\nFinal Answer: 11173.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 19/8 * 18/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/8) × (18/7) = (342/56) = 171/28 after simplification.\n</reasoning>\nFinal Answer: 171/28"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 22 * 44 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 22×44=968, then 36+968-9=995.\n</reasoning>\nFinal Answer: 995"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 31 = -827"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 26x = -858. Divide by 26: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹33621 at 14% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 33621 × 14 × 4 / 100 = 18827.76.\n</reasoning>\nFinal Answer: 18827.76"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 335 km apart. Their speeds are 87 km/h and 55 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 87+55=142 km/h. Time = 335/142 = 2.3592 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -28 = -579"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 29x = -551. Divide by 29: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:29 and A = 64, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/29, so B = A × (29/29) = 64 × 29/29 = 64.0.\n</reasoning>\nFinal Answer: 64.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [6, 94, 22, 38, 41, 81, 86, 40, 88, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 22, 38, 40, 41, 81, 86, 88, 94, 95]. Middle value(s) → median = 61.0.\n</reasoning>\nFinal Answer: 61.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [2, 7, 10, 15] and B = [8, 9, 10, 11, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 7, 15].\n</reasoning>\nFinal Answer: [2, 7, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 917 × -856"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 917 by -856: 917 × -856 = -784952.\n</reasoning>\nFinal Answer: -784952"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 596 - -556"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -556 from 596: 596 - -556 = 1152.\n</reasoning>\nFinal Answer: 1152"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/12 + 14/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/12 + 14/17. Common denominator = 204. Result = 287/204.\n</reasoning>\nFinal Answer: 287/204"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [94, 34, 88, 89, 66, 24, 15, 17]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 427/8 = 53.375.\n</reasoning>\nFinal Answer: 53.375"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -478 + 341"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -478 and 341: -478 + 341 = -137.\n</reasoning>\nFinal Answer: -137"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 33 and 21."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (33×21)/3 = 231.\n</reasoning>\nFinal Answer: 231"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -44 = -248"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 6x = -204. Divide by 6: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 47 and height 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 47 × 21 = 493.5.\n</reasoning>\nFinal Answer: 493.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -77 - -219"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -219 from -77: -77 - -219 = 142.\n</reasoning>\nFinal Answer: 142"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 357 + 534"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 357 and 534: 357 + 534 = 891.\n</reasoning>\nFinal Answer: 891"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [36, 28, 40, 84, 69, 30, 63, 36, 14, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [14, 28, 30, 36, 36, 40, 63, 66, 69, 84]. Middle value(s) → median = 38.0.\n</reasoning>\nFinal Answer: 38.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 108 mod 284"
},
{
"role": "assistant",
"content": "<reasoning>\n108 mod 284: 108 = 284 × 0 + 108, so remainder = 108.\n</reasoning>\nFinal Answer: 108"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [20, 97, 60, 43, 23, 83, 85, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 20 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 17/10 + 19/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/10 + 19/10. Common denominator = 10. Result = 18/5.\n</reasoning>\nFinal Answer: 18/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 3 and height 77."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 3 × 77 = 231.\n</reasoning>\nFinal Answer: 231"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 631 km apart. Their speeds are 49 km/h and 101 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 49+101=150 km/h. Time = 631/150 = 4.2067 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "45 is what percentage of 547?"
},
{
"role": "assistant",
"content": "<reasoning>\n(45/547) × 100 = 8.2267%.\n</reasoning>\nFinal Answer: 8.2267%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 9 and common difference 15, find the 15th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 9 + (15-1)×15 = 9 + 210 = 219.\n</reasoning>\nFinal Answer: 219"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 * 3 + 28 * 17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 27×3=81 and 28×17=476, then add: 557.\n</reasoning>\nFinal Answer: 557"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 824 km apart. Their speeds are 40 km/h and 97 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 40+97=137 km/h. Time = 824/137 = 6.0146 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 153 km/h. How far does it travel in 2 hours and 20 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 20/60 = 2.3333 hours. Distance = speed × time = 153 × 2.3333 = 357.0 km.\n</reasoning>\nFinal Answer: 357.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹21858 at 5% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 21858 × 5 × 10 / 100 = 10929.0.\n</reasoning>\nFinal Answer: 10929.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 951 - 276"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 276 from 951: 951 - 276 = 675.\n</reasoning>\nFinal Answer: 675"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:24 and A = 63, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/24, so B = A × (24/29) = 63 × 24/29 = 52.1379.\n</reasoning>\nFinal Answer: 52.1379"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 2 * 44 - 36"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 2×44=88, then 38+88-36=90.\n</reasoning>\nFinal Answer: 90"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 0 = -1189"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 29x = -1189. Divide by 29: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -166 + 945"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -166 and 945: -166 + 945 = 779.\n</reasoning>\nFinal Answer: 779"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (30 + 5) * (34 - 47)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (30+5)=35, (34-47)=-13, then 35×-13=-455.\n</reasoning>\nFinal Answer: -455"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 18/9 / 17/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/9) ÷ (17/7) = (18/9) × (7/17) = 14/17.\n</reasoning>\nFinal Answer: 14/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
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