messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "If the ratio of A to B is 35:14 and A = 25, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/14, so B = A × (14/35) = 25 × 14/35 = 10.0.\n</reasoning>\nFinal Answer: 10.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 30 apples and buys 183 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 30 + 183 = 213.\n</reasoning>\nFinal Answer: 213"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 455 × 632"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 455 by 632: 455 × 632 = 287560.\n</reasoning>\nFinal Answer: 287560"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/14 - 9/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/14 - 9/9. LCD = 14. Result = 3/14.\n</reasoning>\nFinal Answer: 3/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 955 km apart. Their speeds are 99 km/h and 86 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 99+86=185 km/h. Time = 955/185 = 5.1622 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [94, 99, 60, 18, 45, 49, 2, 14]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 2 = 97.\n</reasoning>\nFinal Answer: 97"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -384 + -232"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -384 and -232: -384 + -232 = -616.\n</reasoning>\nFinal Answer: -616"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 721 km apart. Their speeds are 44 km/h and 111 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 44+111=155 km/h. Time = 721/155 = 4.6516 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -521 mod 873"
},
{
"role": "assistant",
"content": "<reasoning>\n-521 mod 873: -521 = 873 × -1 + 352, so remainder = 352.\n</reasoning>\nFinal Answer: 352"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 71 and width 44."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(71+44) = 2×115 = 230.\n</reasoning>\nFinal Answer: 230"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 6 = 120"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 3x = 114. Divide by 3: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 * 29 + 48 * 8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 40×29=1160 and 48×8=384, then add: 1544.\n</reasoning>\nFinal Answer: 1544"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -38 = 36"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 2x = 74. Divide by 2: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 1 ** 2 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 1²=1, then 15+1-14=2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 25 apples and buys 125 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 25 + 125 = 150.\n</reasoning>\nFinal Answer: 150"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 585 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 585 × (1 + 12/100) = 585 × 1.12 = 655.2.\n</reasoning>\nFinal Answer: 655.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 115 km apart. Their speeds are 56 km/h and 102 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 56+102=158 km/h. Time = 115/158 = 0.7278 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 8, 49 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (8+49) × 2 = 57.0.\n</reasoning>\nFinal Answer: 57.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 146 km/h. How far does it travel in 3 hours and 40 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 40/60 = 3.6667 hours. Distance = speed × time = 146 × 3.6667 = 535.3333 km.\n</reasoning>\nFinal Answer: 535.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 29 = 239"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 6x = 210. Divide by 6: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 61 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 61 × (1 - 75/100) = 61 × 0.25 = 15.25.\n</reasoning>\nFinal Answer: 15.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 23 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 23 = 345 worker-days. New time = 345 / 15 = 23.0 days.\n</reasoning>\nFinal Answer: 23.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -552 - 843"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 843 from -552: -552 - 843 = -1395.\n</reasoning>\nFinal Answer: -1395"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 8 ** 2 - 49"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 8²=64, then 12+64-49=27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 * 25 + 19 * 5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 15×25=375 and 19×5=95, then add: 470.\n</reasoning>\nFinal Answer: 470"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:49 and A = 89, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/49, so B = A × (49/18) = 89 × 49/18 = 242.2778.\n</reasoning>\nFinal Answer: 242.2778"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹19303 at 16% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 19303 × 16 × 4 / 100 = 12353.92.\n</reasoning>\nFinal Answer: 12353.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 756 × -491"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 756 by -491: 756 × -491 = -371196.\n</reasoning>\nFinal Answer: -371196"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [20, 65, 29, 13, 58, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {20: 1, 65: 1, 29: 1, 13: 1, 58: 1, 33: 1}. Most frequent: [20, 65, 29, 13, 58, 33].\n</reasoning>\nFinal Answer: [20, 65, 29, 13, 58, 33]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 17/1 - 15/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/1 - 15/10. LCD = 2. Result = 31/2.\n</reasoning>\nFinal Answer: 31/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (4 + 21) * (32 - 31)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (4+21)=25, (32-31)=1, then 25×1=25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 20 ** 2 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 20²=400, then 11+400-41=370.\n</reasoning>\nFinal Answer: 370"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -7 = -241"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 18x = -234. Divide by 18: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 74 and 113."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(74,113) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 11/11 - 3/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/11 - 3/5. LCD = 5. Result = 2/5.\n</reasoning>\nFinal Answer: 2/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 12, 21, and 31."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 12 + 21 + 31 = 64.\n</reasoning>\nFinal Answer: 64"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 99 and 177."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(99,177) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -918 + 166"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -918 and 166: -918 + 166 = -752.\n</reasoning>\nFinal Answer: -752"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 4 * 40 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 4×40=160, then 45+160-19=186.\n</reasoning>\nFinal Answer: 186"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 18 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 18 = 234 worker-days. New time = 234 / 2 = 117.0 days.\n</reasoning>\nFinal Answer: 117.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [30, 84, 47, 53, 87, 61, 71, 63, 23, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {30: 1, 84: 1, 47: 1, 53: 1, 87: 1, 61: 1, 71: 1, 63: 1, 23: 1, 88: 1}. Most frequent: [30, 84, 47, 53, 87, 61, 71, 63, 23, 88].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mode of: [17, 24, 91, 4, 52, 37, 81, 52, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {17: 1, 24: 1, 91: 1, 4: 1, 52: 2, 37: 2, 81: 1}. Most frequent: [52, 37].\n</reasoning>\nFinal Answer: [52, 37]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "A train travels at 165 km/h. How far does it travel in 11 hours and 25 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 25/60 = 11.4167 hours. Distance = speed × time = 165 × 11.4167 = 1883.75 km.\n</reasoning>\nFinal Answer: 1883.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [79, 22, 61, 43, 79, 79, 24, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [22, 24, 43, 61, 75, 79, 79, 79]. Middle value(s) → median = 68.0.\n</reasoning>\nFinal Answer: 68.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 19/14 / 2/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/14) ÷ (2/19) = (19/14) × (19/2) = 361/28.\n</reasoning>\nFinal Answer: 361/28"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 476 km apart. Their speeds are 51 km/h and 110 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 51+110=161 km/h. Time = 476/161 = 2.9565 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 * 2 + 27 * 8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 27×2=54 and 27×8=216, then add: 270.\n</reasoning>\nFinal Answer: 270"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 17/9 + 17/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/9 + 17/16. Common denominator = 144. Result = 425/144.\n</reasoning>\nFinal Answer: 425/144"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:12 and A = 54, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/12, so B = A × (12/22) = 54 × 12/22 = 29.4545.\n</reasoning>\nFinal Answer: 29.4545"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [37, 1, 93, 89, 38, 35, 45, 90, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 459/9 = 51.0.\n</reasoning>\nFinal Answer: 51.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -440 - -773"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -773 from -440: -440 - -773 = 333.\n</reasoning>\nFinal Answer: 333"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹40127 at 1% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 40127 × 1 × 4 / 100 = 1605.08.\n</reasoning>\nFinal Answer: 1605.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 15/16 + 4/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/16 + 4/4. Common denominator = 16. Result = 31/16.\n</reasoning>\nFinal Answer: 31/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 27 * 46 - 49"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 27×46=1242, then 32+1242-49=1225.\n</reasoning>\nFinal Answer: 1225"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 34, 29 and height 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (34+29) × 24 = 756.0.\n</reasoning>\nFinal Answer: 756.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 75% of 820?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 820 = (75/100) × 820 = 615.0.\n</reasoning>\nFinal Answer: 615.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (16 + 29) * (6 - 30)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (16+29)=45, (6-30)=-24, then 45×-24=-1080.\n</reasoning>\nFinal Answer: -1080"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:19 and A = 32, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/19, so B = A × (19/4) = 32 × 19/4 = 152.0.\n</reasoning>\nFinal Answer: 152.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (24 + 36) * (48 - 15)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (24+36)=60, (48-15)=33, then 60×33=1980.\n</reasoning>\nFinal Answer: 1980"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 * 4 + 16 * 15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 48×4=192 and 16×15=240, then add: 432.\n</reasoning>\nFinal Answer: 432"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 158 apples and buys 76 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 158 + 76 = 234.\n</reasoning>\nFinal Answer: 234"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹38310 at 11% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 38310 × 11 × 9 / 100 = 37926.9.\n</reasoning>\nFinal Answer: 37926.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 31 = 199"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 12x = 168. Divide by 12: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -396 mod -357"
},
{
"role": "assistant",
"content": "<reasoning>\n-396 mod -357: -396 = -357 × 1 + -39, so remainder = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [61, 46, 54, 29, 56, 70, 86, 18, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 449/9 = 49.8889.\n</reasoning>\nFinal Answer: 49.8889"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 18, 24, and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 18 + 24 + 40 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -496 - 330"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 330 from -496: -496 - 330 = -826.\n</reasoning>\nFinal Answer: -826"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [60, 10, 8, 1, 84, 21, 57, 68, 29, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {60: 1, 10: 1, 8: 1, 1: 1, 84: 1, 21: 1, 57: 1, 68: 1, 29: 1, 95: 1}. Most frequent: [60, 10, 8, 1, 84, 21, 57, 68, 29, 95].\n</reasoning>... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 26 * 1 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 26×1=26, then 10+26-25=11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 264 ÷ -487"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 264 by -487. 264 ÷ -487 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 9 = 77"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 4x = 68. Divide by 4: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [42, 8, 9, 31, 12, 27, 12, 68, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 68 - 8 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "A train travels at 114 km/h. How far does it travel in 10 hours and 2 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 2/60 = 10.0333 hours. Distance = speed × time = 114 × 10.0333 = 1143.8 km.\n</reasoning>\nFinal Answer: 1143.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹18913 at 12% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 18913 × 12 × 6 / 100 = 13617.36.\n</reasoning>\nFinal Answer: 13617.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹42270 at 8% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 42270 × 8 × 2 / 100 = 6763.2.\n</reasoning>\nFinal Answer: 6763.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 11/19 - 4/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/19 - 4/13. LCD = 247. Result = 67/247.\n</reasoning>\nFinal Answer: 67/247"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 8 ** 2 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 8²=64, then 30+64-41=53.\n</reasoning>\nFinal Answer: 53"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 3 = -257"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 26x = -260. Divide by 26: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 23 and common difference 3, find the 46th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 23 + (46-1)×3 = 23 + 135 = 158.\n</reasoning>\nFinal Answer: 158"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 837 km apart. Their speeds are 114 km/h and 66 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 114+66=180 km/h. Time = 837/180 = 4.65 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 80 and height 78."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 80 × 78 = 6240.\n</reasoning>\nFinal Answer: 6240"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:37 and A = 30, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/37, so B = A × (37/25) = 30 × 37/25 = 44.4.\n</reasoning>\nFinal Answer: 44.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 5/4 / 12/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/4) ÷ (12/20) = (5/4) × (20/12) = 25/12.\n</reasoning>\nFinal Answer: 25/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (15)x + (12) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 15² - 4×3×12 = 81. √discriminant = 9. x = (-(15) ± 9) / (2×3). Solutions: x = -1 or x = -4.\n</reasoning>\nFinal Answer: x = -1 or x = -4"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 * 44 + 45 * 30"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 6×44=264 and 45×30=1350, then add: 1614.\n</reasoning>\nFinal Answer: 1614"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [69, 28, 94, 66, 22, 6, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 300/7 = 42.8571.\n</reasoning>\nFinal Answer: 42.8571"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 36 * 44 - 16"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 36×44=1584, then 46+1584-16=1614.\n</reasoning>\nFinal Answer: 1614"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 43 ÷ -641"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 43 by -641. 43 ÷ -641 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [87, 29, 1, 16, 22, 42, 72, 68, 94, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {87: 1, 29: 1, 1: 1, 16: 1, 22: 1, 42: 1, 72: 1, 68: 1, 94: 1, 75: 1}. Most frequent: [87, 29, 1, 16, 22, 42, 72, 68, 94, 75].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 146 and 22."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(146,22) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:35 and A = 19, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/35, so B = A × (35/33) = 19 × 35/33 = 20.1515.\n</reasoning>\nFinal Answer: 20.1515"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -883 ÷ -409"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -883 by -409. -883 ÷ -409 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -28 = -520"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 12x = -492. Divide by 12: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:50 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/50, so B = A × (50/17) = 66 × 50/17 = 194.1176.\n</reasoning>\nFinal Answer: 194.1176"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 16 and 26."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (16×26)/2 = 208.\n</reasoning>\nFinal Answer: 208"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Ravi has 155 apples and buys 45 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 155 + 45 = 200.\n</reasoning>\nFinal Answer: 200"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 5, 6, 10, 11, 15, 17] and B = [6, 9, 12, 17, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 3, 5, 10, 11, 15].\n</reasoning>\nFinal Answer: [2, 3, 5, 10, 11, 15]"... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 201."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 201 by smallest primes repeatedly: 201 = 3 × 67.\n</reasoning>\nFinal Answer: 3 × 67"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 31, 36 and height 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (31+36) × 36 = 1206.0.\n</reasoning>\nFinal Answer: 1206.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 84 and width 1."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(84+1) = 2×85 = 170.\n</reasoning>\nFinal Answer: 170"
}
] | easy | [
"geometry",
"perimeter"
] |
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