messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "List all positive factors of 95."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 95: factors are [1, 5, 19, 95].\n</reasoning>\nFinal Answer: [1, 5, 19, 95]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 7 and 86."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(7,86) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 53 and height 30."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 53 × 30 = 1590.\n</reasoning>\nFinal Answer: 1590"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 13/15 * 2/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/15) × (2/6) = (26/90) = 13/45 after simplification.\n</reasoning>\nFinal Answer: 13/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 193 mod 934"
},
{
"role": "assistant",
"content": "<reasoning>\n193 mod 934: 193 = 934 × 0 + 193, so remainder = 193.\n</reasoning>\nFinal Answer: 193"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (37 + 18) * (17 - 30)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (37+18)=55, (17-30)=-13, then 55×-13=-715.\n</reasoning>\nFinal Answer: -715"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 81 and height 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 81 × 29 = 2349.\n</reasoning>\nFinal Answer: 2349"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [33, 89, 71, 22, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {33: 1, 89: 1, 71: 1, 22: 1, 48: 1}. Most frequent: [33, 89, 71, 22, 48].\n</reasoning>\nFinal Answer: [33, 89, 71, 22, 48]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mean of: [2, 35, 28, 98, 17, 13, 44, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 297/8 = 37.125.\n</reasoning>\nFinal Answer: 37.125"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 32 ** 2 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 32²=1024, then 32+1024-7=1049.\n</reasoning>\nFinal Answer: 1049"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -673 + 137"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -673 and 137: -673 + 137 = -536.\n</reasoning>\nFinal Answer: -536"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 21 and 193."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(21,193) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 160."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 160 by smallest primes repeatedly: 160 = 2 × 2 × 2 × 2 × 2 × 5.\n</reasoning>\nFinal Answer: 2 × 2 × 2 × 2 × 2 × 5"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:43 and A = 70, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/43, so B = A × (43/10) = 70 × 43/10 = 301.0.\n</reasoning>\nFinal Answer: 301.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 59 and height 65."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 59 × 65 = 1917.5.\n</reasoning>\nFinal Answer: 1917.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 3/7 * 7/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/7) × (7/9) = (21/63) = 1/3 after simplification.\n</reasoning>\nFinal Answer: 1/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -232 - -861"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -861 from -232: -232 - -861 = 629.\n</reasoning>\nFinal Answer: 629"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 * 1 + 17 * 21"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 16×1=16 and 17×21=357, then add: 373.\n</reasoning>\nFinal Answer: 373"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [9, 18, 27, 36, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 9 and common difference 9. Next term = 45 + 9 = 54.\n</reasoning>\nFinal Answer: 54"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 18/14 / 4/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/14) ÷ (4/8) = (18/14) × (8/4) = 18/7.\n</reasoning>\nFinal Answer: 18/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 * 26 + 21 * 50"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 22×26=572 and 21×50=1050, then add: 1622.\n</reasoning>\nFinal Answer: 1622"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 48 and width 51."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 48 × 51 = 2448.\n</reasoning>\nFinal Answer: 2448"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 18, 20 and height 1."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (18+20) × 1 = 19.0.\n</reasoning>\nFinal Answer: 19.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 15/20 - 5/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/20 - 5/14. LCD = 28. Result = 11/28.\n</reasoning>\nFinal Answer: 11/28"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 446 ÷ 784"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 446 by 784. 446 ÷ 784 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 58 and width 72."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 58 × 72 = 4176.\n</reasoning>\nFinal Answer: 4176"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 3/20 - 9/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/20 - 9/5. LCD = 20. Result = -33/20.\n</reasoning>\nFinal Answer: -33/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 25 and common difference 15, find the 25th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 25 + (25-1)×15 = 25 + 360 = 385.\n</reasoning>\nFinal Answer: 385"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 39 = 676"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 13x = 637. Divide by 13: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 43 and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (43×38)/1 = 1634.\n</reasoning>\nFinal Answer: 1634"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -885 mod 343"
},
{
"role": "assistant",
"content": "<reasoning>\n-885 mod 343: -885 = 343 × -3 + 144, so remainder = 144.\n</reasoning>\nFinal Answer: 144"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -796 ÷ -736"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -796 by -736. -796 ÷ -736 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/13 + 17/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/13 + 17/9. Common denominator = 117. Result = 248/117.\n</reasoning>\nFinal Answer: 248/117"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 996 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 996 × (1 + 5/100) = 996 × 1.05 = 1045.8.\n</reasoning>\nFinal Answer: 1045.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 436 km apart. Their speeds are 109 km/h and 56 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 109+56=165 km/h. Time = 436/165 = 2.6424 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:18 and A = 15, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/18, so B = A × (18/19) = 15 × 18/19 = 14.2105.\n</reasoning>\nFinal Answer: 14.2105"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -603 + 730"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -603 and 730: -603 + 730 = 127.\n</reasoning>\nFinal Answer: 127"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 568 × -292"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 568 by -292: 568 × -292 = -165856.\n</reasoning>\nFinal Answer: -165856"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "271 is what percentage of 936?"
},
{
"role": "assistant",
"content": "<reasoning>\n(271/936) × 100 = 28.953%.\n</reasoning>\nFinal Answer: 28.953%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Given A = [1, 6, 7, 12, 15, 16, 17] and B = [6, 12, 14, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 7, 14, 15, 16, 17, 18].\n</reasoning>\nFinal Ans... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 25 = -39"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 8x = -64. Divide by 8: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "2 workers can complete a job in 5 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 2 × 5 = 10 worker-days. New time = 10 / 14 = 0.7143 days.\n</reasoning>\nFinal Answer: 0.7143"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 60 and width 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 60 × 17 = 1020.\n</reasoning>\nFinal Answer: 1020"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 16 and common difference 7, find the 39th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 16 + (39-1)×7 = 16 + 266 = 282.\n</reasoning>\nFinal Answer: 282"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Ravi has 93 apples and buys 169 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 93 + 169 = 262.\n</reasoning>\nFinal Answer: 262"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 5/15 / 11/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/15) ÷ (11/10) = (5/15) × (10/11) = 10/33.\n</reasoning>\nFinal Answer: 10/33"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 920 × -490"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 920 by -490: 920 × -490 = -450800.\n</reasoning>\nFinal Answer: -450800"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 80% of 410?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 410 = (80/100) × 410 = 328.0.\n</reasoning>\nFinal Answer: 328.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "193 is what percentage of 284?"
},
{
"role": "assistant",
"content": "<reasoning>\n(193/284) × 100 = 67.9577%.\n</reasoning>\nFinal Answer: 67.9577%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 10/5 + 1/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/5 + 1/19. Common denominator = 19. Result = 39/19.\n</reasoning>\nFinal Answer: 39/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 652 ÷ -461"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 652 by -461. 652 ÷ -461 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/3 * 10/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/3) × (10/2) = (60/6) = 10 after simplification.\n</reasoning>\nFinal Answer: 10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -13 = -133"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 3x = -120. Divide by 3: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:29 and A = 59, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/29, so B = A × (29/24) = 59 × 29/24 = 71.2917.\n</reasoning>\nFinal Answer: 71.2917"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 32 and common difference 3, find the 23th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 32 + (23-1)×3 = 32 + 66 = 98.\n</reasoning>\nFinal Answer: 98"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 48 and height 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 48 × 10 = 480.\n</reasoning>\nFinal Answer: 480"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -14 = 81"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 5x = 95. Divide by 5: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 20% of 417?"
},
{
"role": "assistant",
"content": "<reasoning>\n20% of 417 = (20/100) × 417 = 83.4.\n</reasoning>\nFinal Answer: 83.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:46 and A = 73, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/46, so B = A × (46/37) = 73 × 46/37 = 90.7568.\n</reasoning>\nFinal Answer: 90.7568"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 1/16 + 14/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/16 + 14/11. Common denominator = 176. Result = 235/176.\n</reasoning>\nFinal Answer: 235/176"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 + 31 ** 2 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 31²=961, then 4+961-39=926.\n</reasoning>\nFinal Answer: 926"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 2 ÷ -14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 2 by -14. 2 ÷ -14 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 219 mod 825"
},
{
"role": "assistant",
"content": "<reasoning>\n219 mod 825: 219 = 825 × 0 + 219, so remainder = 219.\n</reasoning>\nFinal Answer: 219"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 52 and width 44."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(52+44) = 2×96 = 192.\n</reasoning>\nFinal Answer: 192"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 10/14 / 15/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/14) ÷ (15/17) = (10/14) × (17/15) = 17/21.\n</reasoning>\nFinal Answer: 17/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 5 * 8 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 5×8=40, then 16+40-40=16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 3/20 / 17/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/20) ÷ (17/5) = (3/20) × (5/17) = 3/68.\n</reasoning>\nFinal Answer: 3/68"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 45% of 559?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 559 = (45/100) × 559 = 251.55.\n</reasoning>\nFinal Answer: 251.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 13 and common difference 18, find the 16th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 13 + (16-1)×18 = 13 + 270 = 283.\n</reasoning>\nFinal Answer: 283"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "433 is what percentage of 576?"
},
{
"role": "assistant",
"content": "<reasoning>\n(433/576) × 100 = 75.1736%.\n</reasoning>\nFinal Answer: 75.1736%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 31, 1 and height 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (31+1) × 27 = 432.0.\n</reasoning>\nFinal Answer: 432.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 441 km apart. Their speeds are 99 km/h and 115 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 99+115=214 km/h. Time = 441/214 = 2.0607 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 2/13 * 20/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/13) × (20/20) = (40/260) = 2/13 after simplification.\n</reasoning>\nFinal Answer: 2/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 22 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 22 = 286 worker-days. New time = 286 / 13 = 22.0 days.\n</reasoning>\nFinal Answer: 22.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 39 = -43"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 2x = -82. Divide by 2: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -13 = -637"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 26x = -624. Divide by 26: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [29, 67, 70, 3, 35, 15, 18, 37, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 15, 18, 29, 35, 37, 40, 67, 70]. Middle value(s) → median = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -35 + -617"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -35 and -617: -35 + -617 = -652.\n</reasoning>\nFinal Answer: -652"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -29 = 510"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 11x = 539. Divide by 11: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 31 and common difference 9, find the 10th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 31 + (10-1)×9 = 31 + 81 = 112.\n</reasoning>\nFinal Answer: 112"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [10, 94, 86, 3, 65, 43, 52, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 363/8 = 45.375.\n</reasoning>\nFinal Answer: 45.375"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 32 and common difference 6, find the 50th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 32 + (50-1)×6 = 32 + 294 = 326.\n</reasoning>\nFinal Answer: 326"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 16/3 / 8/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/3) ÷ (8/19) = (16/3) × (19/8) = 38/3.\n</reasoning>\nFinal Answer: 38/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 11/19 + 9/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/19 + 9/20. Common denominator = 380. Result = 391/380.\n</reasoning>\nFinal Answer: 391/380"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 66 and 22."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(66,22) = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 45 and common difference 10, find the 14th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 45 + (14-1)×10 = 45 + 130 = 175.\n</reasoning>\nFinal Answer: 175"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:32 and A = 71, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/32, so B = A × (32/31) = 71 × 32/31 = 73.2903.\n</reasoning>\nFinal Answer: 73.2903"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [17, 21, 25, 29, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 17 and common difference 4. Next term = 33 + 4 = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "A train travels at 123 km/h. How far does it travel in 11 hours and 17 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 17/60 = 11.2833 hours. Distance = speed × time = 123 × 11.2833 = 1387.85 km.\n</reasoning>\nFinal Answer: 1387.85"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 12 = -267"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 9x = -279. Divide by 9: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 21 = 596"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 23x = 575. Divide by 23: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 22, 5 and height 8."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (22+5) × 8 = 108.0.\n</reasoning>\nFinal Answer: 108.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [34, 23, 46, 66, 87, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 87 - 10 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 665 + -902"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 665 and -902: 665 + -902 = -237.\n</reasoning>\nFinal Answer: -237"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 10% of 919?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 919 = (10/100) × 919 = 91.9.\n</reasoning>\nFinal Answer: 91.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 514 ÷ -725"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 514 by -725. 514 ÷ -725 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/4 - 17/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/4 - 17/10. LCD = 10. Result = -7/10.\n</reasoning>\nFinal Answer: -7/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 841 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 841 × (1 + 90/100) = 841 × 1.9 = 1597.9.\n</reasoning>\nFinal Answer: 1597.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [8, 12, 18, 19] and B = [4, 14, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [8, 12].\n</reasoning>\nFinal Answer: [8, 12]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 19 = 569"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 11x = 550. Divide by 11: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
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