messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Increase 33 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 7%: 33 × (1 + 7/100) = 33 × 1.07 = 35.31.\n</reasoning>\nFinal Answer: 35.31"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 161 apples and buys 197 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 161 + 197 = 358.\n</reasoning>\nFinal Answer: 358"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -696 ÷ -322"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -696 by -322. -696 ÷ -322 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/1 * 17/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/1) × (17/20) = (289/20) = 289/20 after simplification.\n</reasoning>\nFinal Answer: 289/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -829 mod 924"
},
{
"role": "assistant",
"content": "<reasoning>\n-829 mod 924: -829 = 924 × -1 + 95, so remainder = 95.\n</reasoning>\nFinal Answer: 95"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 130 apples and buys 59 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 130 + 59 = 189.\n</reasoning>\nFinal Answer: 189"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 4/9 - 15/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/9 - 15/14. LCD = 126. Result = -79/126.\n</reasoning>\nFinal Answer: -79/126"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹2511. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2511 × 5/100 = 125.55. Total = 2511 + 125.55 = 2636.55.\n</reasoning>\nFinal Answer: 2636.55"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [43, 63, 69, 55, 6, 13, 36]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 69 - 6 = 63.\n</reasoning>\nFinal Answer: 63"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "What is 10% of 367?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 367 = (10/100) × 367 = 36.7.\n</reasoning>\nFinal Answer: 36.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -46 = -220"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 6x = -174. Divide by 6: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 13/9 + 10/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/9 + 10/19. Common denominator = 171. Result = 337/171.\n</reasoning>\nFinal Answer: 337/171"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 7/20 - 7/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/20 - 7/18. LCD = 180. Result = -7/180.\n</reasoning>\nFinal Answer: -7/180"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 547 - 544"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 544 from 547: 547 - 544 = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -21 = -567"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 14x = -546. Divide by 14: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 29 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 29 = 232 worker-days. New time = 232 / 14 = 16.5714 days.\n</reasoning>\nFinal Answer: 16.5714"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 100% of 427?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 427 = (100/100) × 427 = 427.0.\n</reasoning>\nFinal Answer: 427.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:18 and A = 26, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/18, so B = A × (18/49) = 26 × 18/49 = 9.551.\n</reasoning>\nFinal Answer: 9.551"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [23, 43, 60, 62, 88, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 334/6 = 55.6667.\n</reasoning>\nFinal Answer: 55.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -391 ÷ 374"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -391 by 374. -391 ÷ 374 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 14/4 * 20/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/4) × (20/14) = (280/56) = 5 after simplification.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [72, 48, 10, 74, 30, 4, 56, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 329/8 = 41.125.\n</reasoning>\nFinal Answer: 41.125"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 6/9 / 20/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/9) ÷ (20/20) = (6/9) × (20/20) = 2/3.\n</reasoning>\nFinal Answer: 2/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 918 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 918 × (1 - 40/100) = 918 × 0.6 = 550.8.\n</reasoning>\nFinal Answer: 550.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 96 and height 88."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 96 × 88 = 4224.0.\n</reasoning>\nFinal Answer: 4224.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [18, 35, 57, 18, 100, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 258/6 = 43.0.\n</reasoning>\nFinal Answer: 43.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 45 = -88"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 7x = -133. Divide by 7: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 623 km apart. Their speeds are 87 km/h and 76 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 87+76=163 km/h. Time = 623/163 = 3.8221 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 31 = 87"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 8x = 56. Divide by 8: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -637 × 901"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -637 by 901: -637 × 901 = -573937.\n</reasoning>\nFinal Answer: -573937"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 30 = 1066"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 28x = 1036. Divide by 28: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 27 and 11."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (27×11)/1 = 297.\n</reasoning>\nFinal Answer: 297"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 34, 36 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (34+36) × 2 = 70.0.\n</reasoning>\nFinal Answer: 70.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [53, 81, 90, 93, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 411/5 = 82.2.\n</reasoning>\nFinal Answer: 82.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 8/8 + 3/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/8 + 3/18. Common denominator = 6. Result = 7/6.\n</reasoning>\nFinal Answer: 7/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "2 workers can complete a job in 6 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 2 × 6 = 12 worker-days. New time = 12 / 20 = 0.6 days.\n</reasoning>\nFinal Answer: 0.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 17 = 549"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 14x = 532. Divide by 14: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:29 and A = 86, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/29, so B = A × (29/10) = 86 × 29/10 = 249.4.\n</reasoning>\nFinal Answer: 249.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "236 is what percentage of 416?"
},
{
"role": "assistant",
"content": "<reasoning>\n(236/416) × 100 = 56.7308%.\n</reasoning>\nFinal Answer: 56.7308%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 28 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 28 = 420 worker-days. New time = 420 / 20 = 21.0 days.\n</reasoning>\nFinal Answer: 21.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [26, 85, 77, 65, 76, 16, 32, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 412/8 = 51.5.\n</reasoning>\nFinal Answer: 51.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:14 and A = 46, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/14, so B = A × (14/43) = 46 × 14/43 = 14.9767.\n</reasoning>\nFinal Answer: 14.9767"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 15/4 - 8/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/4 - 8/4. LCD = 4. Result = 7/4.\n</reasoning>\nFinal Answer: 7/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹10418 at 10% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 10418 × 10 × 4 / 100 = 4167.2.\n</reasoning>\nFinal Answer: 4167.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 970 km apart. Their speeds are 100 km/h and 100 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 100+100=200 km/h. Time = 970/200 = 4.85 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -516 × -412"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -516 by -412: -516 × -412 = 212592.\n</reasoning>\nFinal Answer: 212592"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -857 - 725"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 725 from -857: -857 - 725 = -1582.\n</reasoning>\nFinal Answer: -1582"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -33 × 952"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -33 by 952: -33 × 952 = -31416.\n</reasoning>\nFinal Answer: -31416"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 11/6 + 1/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/6 + 1/15. Common denominator = 30. Result = 19/10.\n</reasoning>\nFinal Answer: 19/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 170 apples and buys 123 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 170 + 123 = 293.\n</reasoning>\nFinal Answer: 293"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 749 mod -106"
},
{
"role": "assistant",
"content": "<reasoning>\n749 mod -106: 749 = -106 × -8 + -99, so remainder = -99.\n</reasoning>\nFinal Answer: -99"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:39 and A = 47, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/39, so B = A × (39/50) = 47 × 39/50 = 36.66.\n</reasoning>\nFinal Answer: 36.66"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 51 + 775"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 51 and 775: 51 + 775 = 826.\n</reasoning>\nFinal Answer: 826"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 6 = -330"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 28x = -336. Divide by 28: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:11 and A = 90, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/11, so B = A × (11/42) = 90 × 11/42 = 23.5714.\n</reasoning>\nFinal Answer: 23.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 8 * 14 - 30"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 8×14=112, then 30+112-30=112.\n</reasoning>\nFinal Answer: 112"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹30625 at 9% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 30625 × 9 × 9 / 100 = 24806.25.\n</reasoning>\nFinal Answer: 24806.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 953 × -783"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 953 by -783: 953 × -783 = -746199.\n</reasoning>\nFinal Answer: -746199"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -21 = -411"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 10x = -390. Divide by 10: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 15 = 135"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 5x = 120. Divide by 5: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -399 ÷ 731"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -399 by 731. -399 ÷ 731 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹47306 at 11% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 47306 × 11 × 8 / 100 = 41629.28.\n</reasoning>\nFinal Answer: 41629.28"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 61 and width 60."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 61 × 60 = 3660.\n</reasoning>\nFinal Answer: 3660"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the circumference of a circle with radius 44. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nCircumference = 2πr = 2 × π × 44 ≈ 276.4602.\n</reasoning>\nFinal Answer: 276.4602"
}
] | easy | [
"geometry",
"circumference"
] |
[
{
"role": "user",
"content": "Calculate: -750 ÷ 934"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -750 by 934. -750 ÷ 934 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:37 and A = 54, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/37, so B = A × (37/14) = 54 × 37/14 = 142.7143.\n</reasoning>\nFinal Answer: 142.7143"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 9 and height 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 9 × 39 = 351.\n</reasoning>\nFinal Answer: 351"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 123 km/h. How far does it travel in 10 hours and 45 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 45/60 = 10.7500 hours. Distance = speed × time = 123 × 10.7500 = 1322.25 km.\n</reasoning>\nFinal Answer: 1322.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 11/9 * 15/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/9) × (15/10) = (165/90) = 11/6 after simplification.\n</reasoning>\nFinal Answer: 11/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 420 mod -587"
},
{
"role": "assistant",
"content": "<reasoning>\n420 mod -587: 420 = -587 × -1 + -167, so remainder = -167.\n</reasoning>\nFinal Answer: -167"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 44 ** 2 - 10"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 44²=1936, then 29+1936-10=1955.\n</reasoning>\nFinal Answer: 1955"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 782 mod -443"
},
{
"role": "assistant",
"content": "<reasoning>\n782 mod -443: 782 = -443 × -2 + -104, so remainder = -104.\n</reasoning>\nFinal Answer: -104"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [78, 6, 94, 69, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 6 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 6/11 - 11/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/11 - 11/2. LCD = 22. Result = -109/22.\n</reasoning>\nFinal Answer: -109/22"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -284 ÷ -848"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -284 by -848. -284 ÷ -848 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 18, 35 and height 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (18+35) × 42 = 1113.0.\n</reasoning>\nFinal Answer: 1113.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 976 + -434"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 976 and -434: 976 + -434 = 542.\n</reasoning>\nFinal Answer: 542"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 36 ** 2 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 36²=1296, then 46+1296-2=1340.\n</reasoning>\nFinal Answer: 1340"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (11 + 35) * (39 - 3)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (11+35)=46, (39-3)=36, then 46×36=1656.\n</reasoning>\nFinal Answer: 1656"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 7, 8, 11, 14, 18] and B = [2, 4, 6, 9, 12, 14, 15, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [14].\n</reasoning>\nFinal Answer: [14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 16, 19] and B = [2, 3, 6, 11, 16], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 19].\n</reasoning>\nFinal Answer: [4, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹41776 at 10% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 41776 × 10 × 4 / 100 = 16710.4.\n</reasoning>\nFinal Answer: 16710.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "117 is what percentage of 119?"
},
{
"role": "assistant",
"content": "<reasoning>\n(117/119) × 100 = 98.3193%.\n</reasoning>\nFinal Answer: 98.3193%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 58 and height 79."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 58 × 79 = 4582.\n</reasoning>\nFinal Answer: 4582"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 75 and width 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 75 × 21 = 1575.\n</reasoning>\nFinal Answer: 1575"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 24 and common difference 9, find the 22th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 24 + (22-1)×9 = 24 + 189 = 213.\n</reasoning>\nFinal Answer: 213"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "What is 5% of 300?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 300 = (5/100) × 300 = 15.0.\n</reasoning>\nFinal Answer: 15.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:40 and A = 29, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/40, so B = A × (40/18) = 29 × 40/18 = 64.4444.\n</reasoning>\nFinal Answer: 64.4444"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 24 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 24 = 432 worker-days. New time = 432 / 20 = 21.6 days.\n</reasoning>\nFinal Answer: 21.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:49 and A = 86, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/49, so B = A × (49/50) = 86 × 49/50 = 84.28.\n</reasoning>\nFinal Answer: 84.28"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 134 ÷ -591"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 134 by -591. 134 ÷ -591 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 16/18 * 10/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/18) × (10/10) = (160/180) = 8/9 after simplification.\n</reasoning>\nFinal Answer: 8/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 29 ** 2 - 49"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 29²=841, then 46+841-49=838.\n</reasoning>\nFinal Answer: 838"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 990 mod -631"
},
{
"role": "assistant",
"content": "<reasoning>\n990 mod -631: 990 = -631 × -2 + -272, so remainder = -272.\n</reasoning>\nFinal Answer: -272"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (3 + 7) * (44 - 40)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (3+7)=10, (44-40)=4, then 10×4=40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 130 apples and buys 56 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 130 + 56 = 186.\n</reasoning>\nFinal Answer: 186"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:22 and A = 80, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/22, so B = A × (22/6) = 80 × 22/6 = 293.3333.\n</reasoning>\nFinal Answer: 293.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 21 and common difference 3, find the 20th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 21 + (20-1)×3 = 21 + 57 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹2885 at 1% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 2885 × 1 × 10 / 100 = 288.5.\n</reasoning>\nFinal Answer: 288.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:41 and A = 61, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/41, so B = A × (41/6) = 61 × 41/6 = 416.8333.\n</reasoning>\nFinal Answer: 416.8333"
}
] | medium | [
"ratio",
"proportion"
] |
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