messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "What is 65% of 585?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 585 = (65/100) × 585 = 380.25.\n</reasoning>\nFinal Answer: 380.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 5 days. How many days will 12 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 5 = 15 worker-days. New time = 15 / 12 = 1.25 days.\n</reasoning>\nFinal Answer: 1.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [9, 86, 5, 60, 74, 52, 93, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 400/8 = 50.0.\n</reasoning>\nFinal Answer: 50.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 4 and common difference 11, find the 33th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 4 + (33-1)×11 = 4 + 352 = 356.\n</reasoning>\nFinal Answer: 356"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -20 = -260"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 5x = -240. Divide by 5: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 5 and common difference 2, find the 10th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 5 + (10-1)×2 = 5 + 18 = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 7, 8, 10, 14, 18] and B = [1, 6, 8, 11, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 7, 10, 14, 18].\n</reasoning>\nFinal Answer: [4, 7, 10, 14, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 74 and height 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 74 × 15 = 555.0.\n</reasoning>\nFinal Answer: 555.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 19/19 * 16/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/19) × (16/2) = (304/38) = 8 after simplification.\n</reasoning>\nFinal Answer: 8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 64 km/h. How far does it travel in 1 hours and 34 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 34/60 = 1.5667 hours. Distance = speed × time = 64 × 1.5667 = 100.2667 km.\n</reasoning>\nFinal Answer: 100.2667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 43 = -307"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 14x = -350. Divide by 14: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -490 - 840"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 840 from -490: -490 - 840 = -1330.\n</reasoning>\nFinal Answer: -1330"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 991 mod 181"
},
{
"role": "assistant",
"content": "<reasoning>\n991 mod 181: 991 = 181 × 5 + 86, so remainder = 86.\n</reasoning>\nFinal Answer: 86"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [6, 7, 13, 15] and B = [5, 8, 14], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [5, 6, 7, 8, 13, 14, 15].\n</reasoning>\nFinal Answer: [5, 6, 7, 8, 13, 14, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mean of: [54, 44, 2, 77, 61, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 303/6 = 50.5.\n</reasoning>\nFinal Answer: 50.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -33 = -105"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 8x = -72. Divide by 8: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹540. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 540 × 12/100 = 64.8. Total = 540 + 64.8 = 604.8.\n</reasoning>\nFinal Answer: 604.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 885 × 81"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 885 by 81: 885 × 81 = 71685.\n</reasoning>\nFinal Answer: 71685"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -633 × 347"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -633 by 347: -633 × 347 = -219651.\n</reasoning>\nFinal Answer: -219651"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -46 = -526"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 24x = -480. Divide by 24: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 24 and width 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(24+37) = 2×61 = 122.\n</reasoning>\nFinal Answer: 122"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (17 + 28) * (10 - 49)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (17+28)=45, (10-49)=-39, then 45×-39=-1755.\n</reasoning>\nFinal Answer: -1755"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 44 = 618"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 14x = 574. Divide by 14: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 303 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 303 × (1 + 40/100) = 303 × 1.4 = 424.2.\n</reasoning>\nFinal Answer: 424.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 31 ** 2 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 31²=961, then 41+961-7=995.\n</reasoning>\nFinal Answer: 995"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:49 and A = 53, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/49, so B = A × (49/15) = 53 × 49/15 = 173.1333.\n</reasoning>\nFinal Answer: 173.1333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:46 and A = 93, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/46, so B = A × (46/6) = 93 × 46/6 = 713.0.\n</reasoning>\nFinal Answer: 713.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [58, 65, 63, 61, 96, 7, 74, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 474/8 = 59.25.\n</reasoning>\nFinal Answer: 59.25"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 398 - 662"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 662 from 398: 398 - 662 = -264.\n</reasoning>\nFinal Answer: -264"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 393 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 393 × (1 + 5/100) = 393 × 1.05 = 412.65.\n</reasoning>\nFinal Answer: 412.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹41823 at 11% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 41823 × 11 × 9 / 100 = 41404.77.\n</reasoning>\nFinal Answer: 41404.77"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (8 + 17) * (16 - 24)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (8+17)=25, (16-24)=-8, then 25×-8=-200.\n</reasoning>\nFinal Answer: -200"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 49 and height 92."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 49 × 92 = 2254.0.\n</reasoning>\nFinal Answer: 2254.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹10433 at 12% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 10433 × 12 × 9 / 100 = 11267.64.\n</reasoning>\nFinal Answer: 11267.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 9 = -279"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 6x = -288. Divide by 6: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 48 and 3."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (48×3)/3 = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -25 = 90"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 5x = 115. Divide by 5: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 8, 9, 10, 19] and B = [3, 7, 9], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [3, 9].\n</reasoning>\nFinal Answer: [3, 9]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -698 + -86"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -698 and -86: -698 + -86 = -784.\n</reasoning>\nFinal Answer: -784"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 7% of 152?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 152 = (7/100) × 152 = 10.64.\n</reasoning>\nFinal Answer: 10.64"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 8 = 83"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 5x = 75. Divide by 5: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:37 and A = 88, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/37, so B = A × (37/20) = 88 × 37/20 = 162.8.\n</reasoning>\nFinal Answer: 162.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-28)x + (48) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -28² - 4×4×48 = 16. √discriminant = 4. x = (-(-28) ± 4) / (2×4). Solutions: x = 4 or x = 3.\n</reasoning>\nFinal Answer: x = 4 or x = 3"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 124 × 196"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 124 by 196: 124 × 196 = 24304.\n</reasoning>\nFinal Answer: 24304"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -33 + 271"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -33 and 271: -33 + 271 = 238.\n</reasoning>\nFinal Answer: 238"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [45, 50, 68, 57, 41, 58, 22, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [22, 41, 45, 45, 50, 57, 58, 68]. Middle value(s) → median = 47.5.\n</reasoning>\nFinal Answer: 47.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 2/11 - 18/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/11 - 18/10. LCD = 55. Result = -89/55.\n</reasoning>\nFinal Answer: -89/55"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹24050 at 1% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 24050 × 1 × 3 / 100 = 721.5.\n</reasoning>\nFinal Answer: 721.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 47 = -73"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 15x = -120. Divide by 15: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-80)x + (400) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -80² - 4×4×400 = 0. √discriminant = 0. x = (-(-80) ± 0) / (2×4). Solutions: x = 10 (double root).\n</reasoning>\nFinal Answer: x = 10 (double ... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:37 and A = 47, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/37, so B = A × (37/32) = 47 × 37/32 = 54.3438.\n</reasoning>\nFinal Answer: 54.3438"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 5 = -1285"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 30x = -1290. Divide by 30: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -990 × 748"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -990 by 748: -990 × 748 = -740520.\n</reasoning>\nFinal Answer: -740520"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 8 = 149"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 3x = 141. Divide by 3: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹35826 at 18% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 35826 × 18 × 8 / 100 = 51589.44.\n</reasoning>\nFinal Answer: 51589.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [9, 14, 46, 38, 22, 72, 71, 11, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 11, 14, 22, 38, 46, 71, 72, 92]. Middle value(s) → median = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:48 and A = 90, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/48, so B = A × (48/38) = 90 × 48/38 = 113.6842.\n</reasoning>\nFinal Answer: 113.6842"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 11/10 * 17/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/10) × (17/4) = (187/40) = 187/40 after simplification.\n</reasoning>\nFinal Answer: 187/40"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 450 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 450 × (1 - 7/100) = 450 × 0.9299999999999999 = 418.5.\n</reasoning>\nFinal Answer: 418.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 20/1 - 9/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/1 - 9/9. LCD = 1. Result = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹45443 at 17% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 45443 × 17 × 10 / 100 = 77253.1.\n</reasoning>\nFinal Answer: 77253.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -35 = -175"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 5x = -140. Divide by 5: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 114 km/h. How far does it travel in 11 hours and 47 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 47/60 = 11.7833 hours. Distance = speed × time = 114 × 11.7833 = 1343.3 km.\n</reasoning>\nFinal Answer: 1343.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 181 apples and buys 183 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 181 + 183 = 364.\n</reasoning>\nFinal Answer: 364"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 2/19 + 9/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/19 + 9/2. Common denominator = 38. Result = 175/38.\n</reasoning>\nFinal Answer: 175/38"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (3 + 26) * (4 - 26)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (3+26)=29, (4-26)=-22, then 29×-22=-638.\n</reasoning>\nFinal Answer: -638"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 84 and height 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 84 × 12 = 504.0.\n</reasoning>\nFinal Answer: 504.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -1 = 298"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 23x = 299. Divide by 23: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -292 ÷ 297"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -292 by 297. -292 ÷ 297 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 45 = 675"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 18x = 630. Divide by 18: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 627 km apart. Their speeds are 49 km/h and 44 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 49+44=93 km/h. Time = 627/93 = 6.7419 hours.\n</reasoning>\nFinal Answer: ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 2/10 - 16/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/10 - 16/4. LCD = 5. Result = -19/5.\n</reasoning>\nFinal Answer: -19/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 10/10 + 11/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/10 + 11/15. Common denominator = 15. Result = 26/15.\n</reasoning>\nFinal Answer: 26/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [88, 89, 18, 25, 7, 79, 50, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 420/8 = 52.5.\n</reasoning>\nFinal Answer: 52.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 11 and common difference 14, find the 28th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 11 + (28-1)×14 = 11 + 378 = 389.\n</reasoning>\nFinal Answer: 389"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [44, 51, 58, 65, 72]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 44 and common difference 7. Next term = 72 + 7 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 3 and 21."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (3×21)/3 = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 13/5 / 14/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/5) ÷ (14/10) = (13/5) × (10/14) = 13/7.\n</reasoning>\nFinal Answer: 13/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 * 28 + 28 * 19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 25×28=700 and 28×19=532, then add: 1232.\n</reasoning>\nFinal Answer: 1232"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -778 × -995"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -778 by -995: -778 × -995 = 774110.\n</reasoning>\nFinal Answer: 774110"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [44, 98, 43, 96, 68, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 22 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -735 × 343"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -735 by 343: -735 × 343 = -252105.\n</reasoning>\nFinal Answer: -252105"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 681 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 681 × (1 + 5/100) = 681 × 1.05 = 715.05.\n</reasoning>\nFinal Answer: 715.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 2, 42 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (2+42) × 13 = 286.0.\n</reasoning>\nFinal Answer: 286.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 7% of 749?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 749 = (7/100) × 749 = 52.43.\n</reasoning>\nFinal Answer: 52.43"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 322 ÷ 782"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 322 by 782. 322 ÷ 782 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 75 and width 67."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 75 × 67 = 5025.\n</reasoning>\nFinal Answer: 5025"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -20 = 428"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 14x = 448. Divide by 14: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 401 + -261"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 401 and -261: 401 + -261 = 140.\n</reasoning>\nFinal Answer: 140"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -377 mod 621"
},
{
"role": "assistant",
"content": "<reasoning>\n-377 mod 621: -377 = 621 × -1 + 244, so remainder = 244.\n</reasoning>\nFinal Answer: 244"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/7 * 7/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/7) × (7/8) = (105/56) = 15/8 after simplification.\n</reasoning>\nFinal Answer: 15/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 20 = 293"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 21x = 273. Divide by 21: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 182 km/h. How far does it travel in 4 hours and 8 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 8/60 = 4.1333 hours. Distance = speed × time = 182 × 4.1333 = 752.2667 km.\n</reasoning>\nFinal Answer: 752.2667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 146 km/h. How far does it travel in 9 hours and 45 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 45/60 = 9.7500 hours. Distance = speed × time = 146 × 9.7500 = 1423.5 km.\n</reasoning>\nFinal Answer: 1423.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:48 and A = 100, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/48, so B = A × (48/42) = 100 × 48/42 = 114.2857.\n</reasoning>\nFinal Answer: 114.2857"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -986 + -757"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -986 and -757: -986 + -757 = -1743.\n</reasoning>\nFinal Answer: -1743"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 3 * 30 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 3×30=90, then 30+90-26=94.\n</reasoning>\nFinal Answer: 94"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (41 + 16) * (24 - 20)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (41+16)=57, (24-20)=4, then 57×4=228.\n</reasoning>\nFinal Answer: 228"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 17 = 269"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 12x = 252. Divide by 12: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 10/14 + 9/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/14 + 9/1. Common denominator = 7. Result = 68/7.\n</reasoning>\nFinal Answer: 68/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
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