messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: 598 - -50"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from 598: 598 - -50 = 648.\n</reasoning>\nFinal Answer: 648"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 796 ÷ -374"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 796 by -374. 796 ÷ -374 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 47 and common difference 1, find the 46th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 47 + (46-1)×1 = 47 + 45 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 820 mod -997"
},
{
"role": "assistant",
"content": "<reasoning>\n820 mod -997: 820 = -997 × -1 + -177, so remainder = -177.\n</reasoning>\nFinal Answer: -177"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -708 ÷ 731"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -708 by 731. -708 ÷ 731 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 49 and width 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 49 × 37 = 1813.\n</reasoning>\nFinal Answer: 1813"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 208 + -238"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 208 and -238: 208 + -238 = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:18 and A = 5, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/18, so B = A × (18/49) = 5 × 18/49 = 1.8367.\n</reasoning>\nFinal Answer: 1.8367"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -442 mod -667"
},
{
"role": "assistant",
"content": "<reasoning>\n-442 mod -667: -442 = -667 × 0 + -442, so remainder = -442.\n</reasoning>\nFinal Answer: -442"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -167 × -669"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -167 by -669: -167 × -669 = 111723.\n</reasoning>\nFinal Answer: 111723"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [33, 36, 85, 70, 40, 23, 73, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [23, 33, 36, 40, 67, 70, 73, 85]. Middle value(s) → median = 53.5.\n</reasoning>\nFinal Answer: 53.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 26 = -468"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 19x = -494. Divide by 19: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 33 and 31."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (33×31)/1 = 1023.\n</reasoning>\nFinal Answer: 1023"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -198 ÷ 863"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -198 by 863. -198 ÷ 863 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 * 5 + 28 * 29"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 9×5=45 and 28×29=812, then add: 857.\n</reasoning>\nFinal Answer: 857"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 36 and 25."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (36×25)/1 = 900.\n</reasoning>\nFinal Answer: 900"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -59 + 456"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -59 and 456: -59 + 456 = 397.\n</reasoning>\nFinal Answer: 397"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 865 ÷ -779"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 865 by -779. 865 ÷ -779 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 22 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 22 × 5 = 110.\n</reasoning>\nFinal Answer: 110"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 16/18 + 16/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/18 + 16/11. Common denominator = 99. Result = 232/99.\n</reasoning>\nFinal Answer: 232/99"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (16)x + (-180) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 16² - 4×4×-180 = 3136. √discriminant = 56. x = (-(16) ± 56) / (2×4). Solutions: x = -9 or x = 5.\n</reasoning>\nFinal Answer: x = -9 or x = 5"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:26 and A = 70, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/26, so B = A × (26/49) = 70 × 26/49 = 37.1429.\n</reasoning>\nFinal Answer: 37.1429"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 25 apples and buys 30 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 25 + 30 = 55.\n</reasoning>\nFinal Answer: 55"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [15, 27, 39, 51, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 15 and common difference 12. Next term = 63 + 12 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "215 is what percentage of 231?"
},
{
"role": "assistant",
"content": "<reasoning>\n(215/231) × 100 = 93.0736%.\n</reasoning>\nFinal Answer: 93.0736%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "An item costs ₹4667. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4667 × 5/100 = 233.35. Total = 4667 + 233.35 = 4900.35.\n</reasoning>\nFinal Answer: 4900.35"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -16 = 64"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 5x = 80. Divide by 5: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:50 and A = 95, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/50, so B = A × (50/47) = 95 × 50/47 = 101.0638.\n</reasoning>\nFinal Answer: 101.0638"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 10% of 997?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 997 = (10/100) × 997 = 99.7.\n</reasoning>\nFinal Answer: 99.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 8, 9, 13, 15, 19] and B = [6, 8, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [8].\n</reasoning>\nFinal Answer: [8]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 33 ** 2 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 33²=1089, then 32+1089-42=1079.\n</reasoning>\nFinal Answer: 1079"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 93 and width 65."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 93 × 65 = 6045.\n</reasoning>\nFinal Answer: 6045"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 42 and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(42,30) = 6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Ravi has 76 apples and buys 172 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 76 + 172 = 248.\n</reasoning>\nFinal Answer: 248"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "List all positive factors of 20."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 20: factors are [1, 2, 4, 5, 10, 20].\n</reasoning>\nFinal Answer: [1, 2, 4, 5, 10, 20]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Increase 729 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 729 × (1 + 100/100) = 729 × 2.0 = 1458.0.\n</reasoning>\nFinal Answer: 1458.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 18 and 8."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(18,8) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 353 × 482"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 353 by 482: 353 × 482 = 170146.\n</reasoning>\nFinal Answer: 170146"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 10/16 * 3/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/16) × (3/8) = (30/128) = 15/64 after simplification.\n</reasoning>\nFinal Answer: 15/64"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 133 and 53."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(133,53) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 * 15 + 13 * 48"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 42×15=630 and 13×48=624, then add: 1254.\n</reasoning>\nFinal Answer: 1254"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 7, 8, 10, 12, 19] and B = [6, 8, 12, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 4, 6, 7, 8, 10, 12, 17, 19].\n</reasoning>\nFinal Answer: [3, 4, 6, 7, 8, 10, 12, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "An item costs ₹3678. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3678 × 28/100 = 1029.84. Total = 3678 + 1029.84 = 4707.84.\n</reasoning>\nFinal Answer: 4707.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -52 + -964"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -52 and -964: -52 + -964 = -1016.\n</reasoning>\nFinal Answer: -1016"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 10 = 94"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 3x = 84. Divide by 3: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 271 + 961"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 271 and 961: 271 + 961 = 1232.\n</reasoning>\nFinal Answer: 1232"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 + 1 ** 2 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 1²=1, then 7+1-38=-30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 734 - 470"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 470 from 734: 734 - 470 = 264.\n</reasoning>\nFinal Answer: 264"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -27 = -291"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 24x = -264. Divide by 24: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 34 apples and buys 131 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 34 + 131 = 165.\n</reasoning>\nFinal Answer: 165"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 15/19 + 13/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/19 + 13/1. Common denominator = 19. Result = 262/19.\n</reasoning>\nFinal Answer: 262/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 542 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 542 × (1 + 30/100) = 542 × 1.3 = 704.6.\n</reasoning>\nFinal Answer: 704.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:33 and A = 34, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/33, so B = A × (33/14) = 34 × 33/14 = 80.1429.\n</reasoning>\nFinal Answer: 80.1429"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -25 ÷ -637"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -25 by -637. -25 ÷ -637 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [91, 47, 39, 56, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {91: 1, 47: 1, 39: 1, 56: 1, 69: 1}. Most frequent: [91, 47, 39, 56, 69].\n</reasoning>\nFinal Answer: [91, 47, 39, 56, 69]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Given A = [3, 8, 9, 11, 14, 16] and B = [3, 4, 5, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 4, 5, 8, 9, 11, 14, 16, 18].\n</reasoning>\nFinal Answer: [3, 4, 5, 8, 9, 11, 14, 16, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 32 = -33"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 5x = -65. Divide by 5: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 156 apples and buys 34 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 156 + 34 = 190.\n</reasoning>\nFinal Answer: 190"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -462 mod 447"
},
{
"role": "assistant",
"content": "<reasoning>\n-462 mod 447: -462 = 447 × -2 + 432, so remainder = 432.\n</reasoning>\nFinal Answer: 432"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 79 and 106."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(79,106) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -21 + 213"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -21 and 213: -21 + 213 = 192.\n</reasoning>\nFinal Answer: 192"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 150 and 67."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(150,67) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the range of: [5, 78, 81, 71, 66, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 81 - 5 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 48 * 45 - 11"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 48×45=2160, then 6+2160-11=2155.\n</reasoning>\nFinal Answer: 2155"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -937 mod -18"
},
{
"role": "assistant",
"content": "<reasoning>\n-937 mod -18: -937 = -18 × 52 + -1, so remainder = -1.\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 17% of 863?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 863 = (17/100) × 863 = 146.71.\n</reasoning>\nFinal Answer: 146.71"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 9 = 185"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 11x = 176. Divide by 11: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 180 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 180 × (1 + 60/100) = 180 × 1.6 = 288.0.\n</reasoning>\nFinal Answer: 288.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "List all positive factors of 92."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 92: factors are [1, 2, 4, 23, 46, 92].\n</reasoning>\nFinal Answer: [1, 2, 4, 23, 46, 92]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 16 = -309"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 13x = -325. Divide by 13: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 42 = 298"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 8x = 256. Divide by 8: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 132 × -295"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 132 by -295: 132 × -295 = -38940.\n</reasoning>\nFinal Answer: -38940"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 207 - 943"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 943 from 207: 207 - 943 = -736.\n</reasoning>\nFinal Answer: -736"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 31 and common difference 6, find the 49th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 31 + (49-1)×6 = 31 + 288 = 319.\n</reasoning>\nFinal Answer: 319"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 18 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 18 = 216 worker-days. New time = 216 / 9 = 24.0 days.\n</reasoning>\nFinal Answer: 24.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -235 - -418"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -418 from -235: -235 - -418 = 183.\n</reasoning>\nFinal Answer: 183"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 89 km/h. How far does it travel in 8 hours and 28 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 28/60 = 8.4667 hours. Distance = speed × time = 89 × 8.4667 = 753.5333 km.\n</reasoning>\nFinal Answer: 753.5333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 141 and 17."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(141,17) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 104."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 104 by smallest primes repeatedly: 104 = 2 × 2 × 2 × 13.\n</reasoning>\nFinal Answer: 2 × 2 × 2 × 13"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 37 = 19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 2x = -18. Divide by 2: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -676 mod -427"
},
{
"role": "assistant",
"content": "<reasoning>\n-676 mod -427: -676 = -427 × 1 + -249, so remainder = -249.\n</reasoning>\nFinal Answer: -249"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 11, 16 and height 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (11+16) × 16 = 216.0.\n</reasoning>\nFinal Answer: 216.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 + 17 * 40 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 17×40=680, then 20+680-33=667.\n</reasoning>\nFinal Answer: 667"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "301 is what percentage of 304?"
},
{
"role": "assistant",
"content": "<reasoning>\n(301/304) × 100 = 99.0132%.\n</reasoning>\nFinal Answer: 99.0132%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 6 = 50"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 4x = 44. Divide by 4: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (39 + 8) * (50 - 31)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (39+8)=47, (50-31)=19, then 47×19=893.\n</reasoning>\nFinal Answer: 893"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -611 ÷ 736"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -611 by 736. -611 ÷ 736 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [51, 15, 5, 11, 1, 95, 83, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 1 = 94.\n</reasoning>\nFinal Answer: 94"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹16286 at 20% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 16286 × 20 × 4 / 100 = 13028.8.\n</reasoning>\nFinal Answer: 13028.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [79, 29, 38, 62, 12, 30, 66, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [12, 29, 30, 38, 62, 66, 79, 93]. Middle value(s) → median = 50.0.\n</reasoning>\nFinal Answer: 50.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 + 30 * 7 - 18"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 30×7=210, then 20+210-18=212.\n</reasoning>\nFinal Answer: 212"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -886 ÷ 911"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -886 by 911. -886 ÷ 911 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 372 km apart. Their speeds are 110 km/h and 95 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 110+95=205 km/h. Time = 372/205 = 1.8146 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 + 30 ** 2 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 30²=900, then 2+900-1=901.\n</reasoning>\nFinal Answer: 901"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [70, 97, 65, 91, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {70: 1, 97: 1, 65: 1, 91: 1, 99: 1}. Most frequent: [70, 97, 65, 91, 99].\n</reasoning>\nFinal Answer: [70, 97, 65, 91, 99]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -31 = -148"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 9x = -117. Divide by 9: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 0 = 12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 3x = 12. Divide by 3: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:6 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/6, so B = A × (6/34) = 66 × 6/34 = 11.6471.\n</reasoning>\nFinal Answer: 11.6471"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 58 and height 66."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 58 × 66 = 3828.\n</reasoning>\nFinal Answer: 3828"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 8 = -265"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 7x = -273. Divide by 7: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
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