messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: (37 + 35) * (35 - 35)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (37+35)=72, (35-35)=0, then 72×0=0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [41, 61, 81, 101, 121]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 41 and common difference 20. Next term = 121 + 20 = 141.\n</reasoning>\nFinal Answer: 141"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 246 mod -584"
},
{
"role": "assistant",
"content": "<reasoning>\n246 mod -584: 246 = -584 × -1 + -338, so remainder = -338.\n</reasoning>\nFinal Answer: -338"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 24 = -1299"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 27x = -1323. Divide by 27: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 41 km/h. How far does it travel in 5 hours and 27 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 27/60 = 5.4500 hours. Distance = speed × time = 41 × 5.4500 = 223.45 km.\n</reasoning>\nFinal Answer: 223.45"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 4/9 - 15/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/9 - 15/1. LCD = 9. Result = -131/9.\n</reasoning>\nFinal Answer: -131/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -460 - -384"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -384 from -460: -460 - -384 = -76.\n</reasoning>\nFinal Answer: -76"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:29 and A = 29, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/29, so B = A × (29/18) = 29 × 29/18 = 46.7222.\n</reasoning>\nFinal Answer: 46.7222"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -25 - -662"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -662 from -25: -25 - -662 = 637.\n</reasoning>\nFinal Answer: 637"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [70, 79, 40, 14, 76, 35, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {70: 1, 79: 1, 40: 1, 14: 1, 76: 1, 35: 1, 56: 1}. Most frequent: [70, 79, 40, 14, 76, 35, 56].\n</reasoning>\nFinal Answer: [70, 79, 40, 14, 76, 35... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "An item costs ₹744. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 744 × 28/100 = 208.32. Total = 744 + 208.32 = 952.32.\n</reasoning>\nFinal Answer: 952.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 629 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 629 × (1 + 12/100) = 629 × 1.12 = 704.48.\n</reasoning>\nFinal Answer: 704.48"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 11/3 - 7/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/3 - 7/4. LCD = 12. Result = 23/12.\n</reasoning>\nFinal Answer: 23/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 32, 40 and height 19."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (32+40) × 19 = 684.0.\n</reasoning>\nFinal Answer: 684.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹3155. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3155 × 18/100 = 567.9. Total = 3155 + 567.9 = 3722.9.\n</reasoning>\nFinal Answer: 3722.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [61, 38, 19, 94, 67, 59, 88, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {61: 1, 38: 1, 19: 1, 94: 1, 67: 1, 59: 1, 88: 1, 99: 1}. Most frequent: [61, 38, 19, 94, 67, 59, 88, 99].\n</reasoning>\nFinal Answer: [61, 38,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 14 and common difference 20, find the 21th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 14 + (21-1)×20 = 14 + 400 = 414.\n</reasoning>\nFinal Answer: 414"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "A train travels at 91 km/h. How far does it travel in 3 hours and 15 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 15/60 = 3.2500 hours. Distance = speed × time = 91 × 3.2500 = 295.75 km.\n</reasoning>\nFinal Answer: 295.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 154 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 154 × (1 + 75/100) = 154 × 1.75 = 269.5.\n</reasoning>\nFinal Answer: 269.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 154 mod -465"
},
{
"role": "assistant",
"content": "<reasoning>\n154 mod -465: 154 = -465 × -1 + -311, so remainder = -311.\n</reasoning>\nFinal Answer: -311"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 337 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 337 × (1 - 45/100) = 337 × 0.55 = 185.35.\n</reasoning>\nFinal Answer: 185.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 7 and common difference 10, find the 20th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 7 + (20-1)×10 = 7 + 190 = 197.\n</reasoning>\nFinal Answer: 197"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 42 * 34 - 23"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 42×34=1428, then 46+1428-23=1451.\n</reasoning>\nFinal Answer: 1451"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 37 and width 12."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(37+12) = 2×49 = 98.\n</reasoning>\nFinal Answer: 98"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -610 × 535"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -610 by 535: -610 × 535 = -326350.\n</reasoning>\nFinal Answer: -326350"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -804 × 202"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -804 by 202: -804 × 202 = -162408.\n</reasoning>\nFinal Answer: -162408"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 90% of 537?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 537 = (90/100) × 537 = 483.3.\n</reasoning>\nFinal Answer: 483.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 457 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 457 × (1 - 65/100) = 457 × 0.35 = 159.95.\n</reasoning>\nFinal Answer: 159.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 950 - -814"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -814 from 950: 950 - -814 = 1764.\n</reasoning>\nFinal Answer: 1764"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -43 = 875"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from both sides: 27x = 918. Divide by 27: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 10 * 31 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 10×31=310, then 23+310-9=324.\n</reasoning>\nFinal Answer: 324"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [11, 73, 55, 19, 27, 77, 44, 99, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {11: 1, 73: 1, 55: 1, 19: 1, 27: 1, 77: 1, 44: 1, 99: 1, 7: 1}. Most frequent: [11, 73, 55, 19, 27, 77, 44, 99, 7].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (15 + 8) * (46 - 14)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (15+8)=23, (46-14)=32, then 23×32=736.\n</reasoning>\nFinal Answer: 736"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 13/13 / 16/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/13) ÷ (16/17) = (13/13) × (17/16) = 17/16.\n</reasoning>\nFinal Answer: 17/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 861 mod -626"
},
{
"role": "assistant",
"content": "<reasoning>\n861 mod -626: 861 = -626 × -2 + -391, so remainder = -391.\n</reasoning>\nFinal Answer: -391"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [6, 10, 14, 18] and B = [10, 13, 15, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [10].\n</reasoning>\nFinal Answer: [10]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:45 and A = 20, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/45, so B = A × (45/2) = 20 × 45/2 = 450.0.\n</reasoning>\nFinal Answer: 450.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -265 ÷ -553"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -265 by -553. -265 ÷ -553 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:9 and A = 20, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/9, so B = A × (9/19) = 20 × 9/19 = 9.4737.\n</reasoning>\nFinal Answer: 9.4737"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:15 and A = 26, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/15, so B = A × (15/26) = 26 × 15/26 = 15.0.\n</reasoning>\nFinal Answer: 15.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 127 and 107."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(127,107) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:3 and A = 79, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/3, so B = A × (3/18) = 79 × 3/18 = 13.1667.\n</reasoning>\nFinal Answer: 13.1667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 402 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 50%: 402 × (1 + 50/100) = 402 × 1.5 = 603.0.\n</reasoning>\nFinal Answer: 603.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 40, 19 and height 40."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (40+19) × 40 = 1180.0.\n</reasoning>\nFinal Answer: 1180.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹1596. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1596 × 28/100 = 446.88. Total = 1596 + 446.88 = 2042.88.\n</reasoning>\nFinal Answer: 2042.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 10, 13, 18, 19] and B = [2, 7, 8, 9, 17, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [18].\n</reasoning>\nFinal Answer: [18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "An item costs ₹1106. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1106 × 5/100 = 55.3. Total = 1106 + 55.3 = 1161.3.\n</reasoning>\nFinal Answer: 1161.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -256 × 660"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -256 by 660: -256 × 660 = -168960.\n</reasoning>\nFinal Answer: -168960"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 85 and width 17."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(85+17) = 2×102 = 204.\n</reasoning>\nFinal Answer: 204"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "A train travels at 150 km/h. How far does it travel in 9 hours and 9 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 9/60 = 9.1500 hours. Distance = speed × time = 150 × 9.1500 = 1372.5 km.\n</reasoning>\nFinal Answer: 1372.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -990 ÷ 828"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -990 by 828. -990 ÷ 828 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 18 * 16 - 13"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 18×16=288, then 8+288-13=283.\n</reasoning>\nFinal Answer: 283"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 20 and common difference 8, find the 17th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 20 + (17-1)×8 = 20 + 128 = 148.\n</reasoning>\nFinal Answer: 148"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (45)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 45² - 4×5×0 = 2025. √discriminant = 45. x = (-(45) ± 45) / (2×5). Solutions: x = -9 or x = 0.\n</reasoning>\nFinal Answer: x = -9 or x = 0"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 34 = -344"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 18x = -378. Divide by 18: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (22 + 18) * (19 - 19)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (22+18)=40, (19-19)=0, then 40×0=0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 118 and 56."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(118,56) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 43 ** 2 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 43²=1849, then 16+1849-14=1851.\n</reasoning>\nFinal Answer: 1851"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [33, 58, 97, 26, 54, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [26, 33, 54, 58, 91, 97]. Middle value(s) → median = 56.0.\n</reasoning>\nFinal Answer: 56.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [4, 6, 7, 11, 12, 14] and B = [5, 14, 15, 17, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 6, 7, 11, 12].\n</reasoning>\nFinal Answer: [4, 6, 7, 11, 12]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 45, 38 and height 22."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (45+38) × 22 = 913.0.\n</reasoning>\nFinal Answer: 913.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 48, 2 and height 30."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (48+2) × 30 = 750.0.\n</reasoning>\nFinal Answer: 750.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 43 = 457"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 9x = 414. Divide by 9: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 168 apples and buys 39 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 168 + 39 = 207.\n</reasoning>\nFinal Answer: 207"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 18/10 * 2/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/10) × (2/18) = (36/180) = 1/5 after simplification.\n</reasoning>\nFinal Answer: 1/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 19 and common difference 3, find the 26th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 19 + (26-1)×3 = 19 + 75 = 94.\n</reasoning>\nFinal Answer: 94"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:22 and A = 43, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/22, so B = A × (22/32) = 43 × 22/32 = 29.5625.\n</reasoning>\nFinal Answer: 29.5625"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 25 * 39 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 25×39=975, then 13+975-46=942.\n</reasoning>\nFinal Answer: 942"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 7 and common difference 5, find the 23th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 7 + (23-1)×5 = 7 + 110 = 117.\n</reasoning>\nFinal Answer: 117"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -392 - 166"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 166 from -392: -392 - 166 = -558.\n</reasoning>\nFinal Answer: -558"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:40 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/40, so B = A × (40/20) = 27 × 40/20 = 54.0.\n</reasoning>\nFinal Answer: 54.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 150 and 54."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(150,54) = 6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the mode of: [37, 100, 28, 56, 29, 96, 26, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {37: 1, 100: 1, 28: 1, 56: 1, 29: 1, 96: 1, 26: 1, 18: 1}. Most frequent: [37, 100, 28, 56, 29, 96, 26, 18].\n</reasoning>\nFinal Answer: [37, ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -2 = 570"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -2 from both sides: 26x = 572. Divide by 26: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 14 ** 2 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 14²=196, then 12+196-38=170.\n</reasoning>\nFinal Answer: 170"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 401 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 401 × (1 - 17/100) = 401 × 0.83 = 332.83.\n</reasoning>\nFinal Answer: 332.83"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (29 + 33) * (1 - 7)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (29+33)=62, (1-7)=-6, then 62×-6=-372.\n</reasoning>\nFinal Answer: -372"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 15/14 - 8/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/14 - 8/1. LCD = 14. Result = -97/14.\n</reasoning>\nFinal Answer: -97/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (34 + 42) * (25 - 16)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (34+42)=76, (25-16)=9, then 76×9=684.\n</reasoning>\nFinal Answer: 684"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 23 ** 2 - 11"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 23²=529, then 39+529-11=557.\n</reasoning>\nFinal Answer: 557"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 5, 6, 9, 11, 19] and B = [1, 2, 4, 6, 7, 8, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [5, 9, 11, 19].\n</reasoning>\nFinal Answer: [5, 9, 11, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 40 and 21."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (40×21)/1 = 840.\n</reasoning>\nFinal Answer: 840"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -563 mod -124"
},
{
"role": "assistant",
"content": "<reasoning>\n-563 mod -124: -563 = -124 × 4 + -67, so remainder = -67.\n</reasoning>\nFinal Answer: -67"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 4 and width 31."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 4 × 31 = 124.\n</reasoning>\nFinal Answer: 124"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:42 and A = 79, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/42, so B = A × (42/26) = 79 × 42/26 = 127.6154.\n</reasoning>\nFinal Answer: 127.6154"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹2982. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2982 × 12/100 = 357.84. Total = 2982 + 357.84 = 3339.84.\n</reasoning>\nFinal Answer: 3339.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 82 and height 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 82 × 42 = 3444.\n</reasoning>\nFinal Answer: 3444"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [56, 17, 25, 99, 8, 93, 37, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {56: 1, 17: 1, 25: 1, 99: 1, 8: 1, 93: 1, 37: 1, 38: 1}. Most frequent: [56, 17, 25, 99, 8, 93, 37, 38].\n</reasoning>\nFinal Answer: [56, 17, 25... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mode of: [2, 10, 68, 41, 12, 31, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {2: 1, 10: 1, 68: 1, 41: 1, 12: 1, 31: 1, 71: 1}. Most frequent: [2, 10, 68, 41, 12, 31, 71].\n</reasoning>\nFinal Answer: [2, 10, 68, 41, 12, 31, 71... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 1/19 - 9/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/19 - 9/15. LCD = 95. Result = -52/95.\n</reasoning>\nFinal Answer: -52/95"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 3/9 / 8/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/9) ÷ (8/13) = (3/9) × (13/8) = 13/24.\n</reasoning>\nFinal Answer: 13/24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 * 21 + 36 * 25"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 9×21=189 and 36×25=900, then add: 1089.\n</reasoning>\nFinal Answer: 1089"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 41 and width 51."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 41 × 51 = 2091.\n</reasoning>\nFinal Answer: 2091"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 * 7 + 19 * 19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 1×7=7 and 19×19=361, then add: 368.\n</reasoning>\nFinal Answer: 368"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 80 and width 56."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(80+56) = 2×136 = 272.\n</reasoning>\nFinal Answer: 272"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 910 × -202"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 910 by -202: 910 × -202 = -183820.\n</reasoning>\nFinal Answer: -183820"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -23 = 621"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 23x = 644. Divide by 23: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [5, 25, 25, 20, 69, 21, 77, 57, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 387/9 = 43.0.\n</reasoning>\nFinal Answer: 43.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -333 - -908"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -908 from -333: -333 - -908 = 575.\n</reasoning>\nFinal Answer: 575"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:32 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/32, so B = A × (32/1) = 75 × 32/1 = 2400.0.\n</reasoning>\nFinal Answer: 2400.0"
}
] | medium | [
"ratio",
"proportion"
] |
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