messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the median of: [80, 26, 72, 18, 60, 43, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [18, 26, 43, 53, 60, 72, 80]. Middle value(s) → median = 53.\n</reasoning>\nFinal Answer: 53"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -34 = 162"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 7x = 196. Divide by 7: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:1 and A = 26, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/1, so B = A × (1/15) = 26 × 1/15 = 1.7333.\n</reasoning>\nFinal Answer: 1.7333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -204 + 293"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -204 and 293: -204 + 293 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 6, 11, 13, 14, 15, 18] and B = [1, 2, 10, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 3, 6, 10, 11, 13, 14, 15, 17, 18].\n</reasoni... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -69 mod 271"
},
{
"role": "assistant",
"content": "<reasoning>\n-69 mod 271: -69 = 271 × -1 + 202, so remainder = 202.\n</reasoning>\nFinal Answer: 202"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 938 - -523"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -523 from 938: 938 - -523 = 1461.\n</reasoning>\nFinal Answer: 1461"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 9 = -219"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 12x = -228. Divide by 12: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:28 and A = 96, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/28, so B = A × (28/35) = 96 × 28/35 = 76.8.\n</reasoning>\nFinal Answer: 76.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 49 * 24 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 49×24=1176, then 29+1176-2=1203.\n</reasoning>\nFinal Answer: 1203"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 70 and height 56."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 70 × 56 = 1960.0.\n</reasoning>\nFinal Answer: 1960.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -13 = 723"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 16x = 736. Divide by 16: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 27 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 27 = 513 worker-days. New time = 513 / 18 = 28.5 days.\n</reasoning>\nFinal Answer: 28.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 25 apples and buys 49 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 25 + 49 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 250 + 486"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 250 and 486: 250 + 486 = 736.\n</reasoning>\nFinal Answer: 736"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -914 ÷ 260"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -914 by 260. -914 ÷ 260 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [64, 45, 41, 59, 16, 23, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [16, 23, 41, 45, 54, 59, 64]. Middle value(s) → median = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Increase 439 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 439 × (1 + 100/100) = 439 × 2.0 = 878.0.\n</reasoning>\nFinal Answer: 878.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [60, 56, 30, 12, 54, 6, 5, 57, 14]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 60 - 5 = 55.\n</reasoning>\nFinal Answer: 55"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 288 mod 160"
},
{
"role": "assistant",
"content": "<reasoning>\n288 mod 160: 288 = 160 × 1 + 128, so remainder = 128.\n</reasoning>\nFinal Answer: 128"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [8, 50, 47, 91, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 21, 47, 50, 91]. Middle value(s) → median = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (2)x + (-80) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 2² - 4×1×-80 = 324. √discriminant = 18. x = (-(2) ± 18) / (2×1). Solutions: x = -10 or x = 8.\n</reasoning>\nFinal Answer: x = -10 or x = 8"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 37 = 107"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 5x = 70. Divide by 5: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:23 and A = 99, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/23, so B = A × (23/41) = 99 × 23/41 = 55.5366.\n</reasoning>\nFinal Answer: 55.5366"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 430."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 430 by smallest primes repeatedly: 430 = 2 × 5 × 43.\n</reasoning>\nFinal Answer: 2 × 5 × 43"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: 695 mod -872"
},
{
"role": "assistant",
"content": "<reasoning>\n695 mod -872: 695 = -872 × -1 + -177, so remainder = -177.\n</reasoning>\nFinal Answer: -177"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:15 and A = 80, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/15, so B = A × (15/20) = 80 × 15/20 = 60.0.\n</reasoning>\nFinal Answer: 60.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 36, 33 and height 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (36+33) × 25 = 862.5.\n</reasoning>\nFinal Answer: 862.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -204 ÷ -133"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -204 by -133. -204 ÷ -133 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 142 and 192."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(142,192) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the mode of: [24, 94, 2, 68, 41, 97, 24, 3, 89, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {24: 2, 94: 1, 2: 1, 68: 1, 41: 1, 97: 2, 3: 1, 89: 1}. Most frequent: [24, 97].\n</reasoning>\nFinal Answer: [24, 97]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 34 ** 2 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 34²=1156, then 36+1156-47=1145.\n</reasoning>\nFinal Answer: 1145"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 611 × 903"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 611 by 903: 611 × 903 = 551733.\n</reasoning>\nFinal Answer: 551733"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-64)x + (252) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -64² - 4×4×252 = 64. √discriminant = 8. x = (-(-64) ± 8) / (2×4). Solutions: x = 7 or x = 9.\n</reasoning>\nFinal Answer: x = 7 or x = 9"
}
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the range of: [65, 59, 28, 6, 81, 77, 30, 76, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 81 - 6 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "58 is what percentage of 208?"
},
{
"role": "assistant",
"content": "<reasoning>\n(58/208) × 100 = 27.8846%.\n</reasoning>\nFinal Answer: 27.8846%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 164 ÷ -254"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 164 by -254. 164 ÷ -254 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [78, 67, 8, 92, 15, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 272/6 = 45.3333.\n</reasoning>\nFinal Answer: 45.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -48 = 60"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 4x = 108. Divide by 4: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 38 and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (38×39)/1 = 1482.\n</reasoning>\nFinal Answer: 1482"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the mode of: [25, 62, 79, 86, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {25: 1, 62: 1, 79: 1, 86: 1, 100: 1}. Most frequent: [25, 62, 79, 86, 100].\n</reasoning>\nFinal Answer: [25, 62, 79, 86, 100]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 34 = -104"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 23x = -138. Divide by 23: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 30 and width 83."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(30+83) = 2×113 = 226.\n</reasoning>\nFinal Answer: 226"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 768 ÷ -305"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 768 by -305. 768 ÷ -305 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 86 and width 96."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(86+96) = 2×182 = 364.\n</reasoning>\nFinal Answer: 364"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 4/1 - 8/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/1 - 8/19. LCD = 19. Result = 68/19.\n</reasoning>\nFinal Answer: 68/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 14 and height 75."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 14 × 75 = 1050.\n</reasoning>\nFinal Answer: 1050"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -910 mod 155"
},
{
"role": "assistant",
"content": "<reasoning>\n-910 mod 155: -910 = 155 × -6 + 20, so remainder = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 15% of 843?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 843 = (15/100) × 843 = 126.45.\n</reasoning>\nFinal Answer: 126.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "110 is what percentage of 387?"
},
{
"role": "assistant",
"content": "<reasoning>\n(110/387) × 100 = 28.4238%.\n</reasoning>\nFinal Answer: 28.4238%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Ravi has 127 apples and buys 14 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 127 + 14 = 141.\n</reasoning>\nFinal Answer: 141"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [9, 15, 21, 27, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 9 and common difference 6. Next term = 33 + 6 = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mode of: [29, 18, 17, 71, 75, 5, 97, 61, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {29: 1, 18: 1, 17: 1, 71: 1, 75: 1, 5: 1, 97: 1, 61: 1, 76: 1}. Most frequent: [29, 18, 17, 71, 75, 5, 97, 61, 76].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Ravi has 65 apples and buys 80 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 65 + 80 = 145.\n</reasoning>\nFinal Answer: 145"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:2 and A = 81, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/2, so B = A × (2/29) = 81 × 2/29 = 5.5862.\n</reasoning>\nFinal Answer: 5.5862"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [69, 84, 81, 36, 41, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 363/6 = 60.5.\n</reasoning>\nFinal Answer: 60.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 42 and common difference 11, find the 34th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 42 + (34-1)×11 = 42 + 363 = 405.\n</reasoning>\nFinal Answer: 405"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 7/11 + 16/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/11 + 16/19. Common denominator = 209. Result = 309/209.\n</reasoning>\nFinal Answer: 309/209"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [65, 71, 95, 48, 6, 73, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 6 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 58 and width 95."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 58 × 95 = 5510.\n</reasoning>\nFinal Answer: 5510"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 40 apples and buys 43 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 40 + 43 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 840 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 840 × (1 + 70/100) = 840 × 1.7 = 1428.0.\n</reasoning>\nFinal Answer: 1428.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -615 ÷ -266"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -615 by -266. -615 ÷ -266 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [42, 56, 70, 84, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 42 and common difference 14. Next term = 98 + 14 = 112.\n</reasoning>\nFinal Answer: 112"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 67 and width 63."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(67+63) = 2×130 = 260.\n</reasoning>\nFinal Answer: 260"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "An item costs ₹4481. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4481 × 5/100 = 224.05. Total = 4481 + 224.05 = 4705.05.\n</reasoning>\nFinal Answer: 4705.05"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -42 = 706"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 17x = 748. Divide by 17: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [86, 97, 15, 52, 23, 76, 69, 24, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {86: 1, 97: 1, 15: 1, 52: 1, 23: 1, 76: 2, 69: 1, 24: 1}. Most frequent: 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Given A = [3, 7, 11, 12, 18] and B = [9, 10, 13, 15, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 7, 9, 10, 11, 12, 13, 15, 17, 18].\n</reasoning>\nF... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 32 ** 2 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 32²=1024, then 33+1024-12=1045.\n</reasoning>\nFinal Answer: 1045"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [7, 14, 19] and B = [5, 7, 8, 9, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [14, 19].\n</reasoning>\nFinal Answer: [14, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [45, 63, 81, 99, 117]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 45 and common difference 18. Next term = 117 + 18 = 135.\n</reasoning>\nFinal Answer: 135"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "List all positive factors of 14."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 14: factors are [1, 2, 7, 14].\n</reasoning>\nFinal Answer: [1, 2, 7, 14]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 34 = -61"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 5x = -95. Divide by 5: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (45 + 43) * (33 - 6)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (45+43)=88, (33-6)=27, then 88×27=2376.\n</reasoning>\nFinal Answer: 2376"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 + 41 ** 2 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 41²=1681, then 4+1681-25=1660.\n</reasoning>\nFinal Answer: 1660"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 947 + 769"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 947 and 769: 947 + 769 = 1716.\n</reasoning>\nFinal Answer: 1716"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [50, 58, 66, 74, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 50 and common difference 8. Next term = 82 + 8 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [45, 53, 68, 32, 93, 6, 52, 89, 100, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 618/10 = 61.8.\n</reasoning>\nFinal Answer: 61.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 172 and 154."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(172,154) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "A train travels at 99 km/h. How far does it travel in 2 hours and 26 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 26/60 = 2.4333 hours. Distance = speed × time = 99 × 2.4333 = 240.9 km.\n</reasoning>\nFinal Answer: 240.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [38, 27, 81, 79, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [27, 38, 79, 79, 81]. Middle value(s) → median = 79.\n</reasoning>\nFinal Answer: 79"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:3 and A = 19, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/3, so B = A × (3/17) = 19 × 3/17 = 3.3529.\n</reasoning>\nFinal Answer: 3.3529"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 17, 17 and height 41."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (17+17) × 41 = 697.0.\n</reasoning>\nFinal Answer: 697.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 8/10 / 12/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/10) ÷ (12/17) = (8/10) × (17/12) = 17/15.\n</reasoning>\nFinal Answer: 17/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 213 ÷ 659"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 213 by 659. 213 ÷ 659 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 60 and 52."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(60,52) = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 17/16 / 8/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/16) ÷ (8/18) = (17/16) × (18/8) = 153/64.\n</reasoning>\nFinal Answer: 153/64"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 769 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 769 × (1 - 20/100) = 769 × 0.8 = 615.2.\n</reasoning>\nFinal Answer: 615.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 * 5 + 29 * 42"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 38×5=190 and 29×42=1218, then add: 1408.\n</reasoning>\nFinal Answer: 1408"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 30 = 891"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 21x = 861. Divide by 21: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 88 and width 81."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 88 × 81 = 7128.\n</reasoning>\nFinal Answer: 7128"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 77 km/h. How far does it travel in 3 hours and 0 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 0/60 = 3.0000 hours. Distance = speed × time = 77 × 3.0000 = 231.0 km.\n</reasoning>\nFinal Answer: 231.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 18 = 30"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 12x = 12. Divide by 12: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 41 * 4 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 41×4=164, then 17+164-29=152.\n</reasoning>\nFinal Answer: 152"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 862 mod -592"
},
{
"role": "assistant",
"content": "<reasoning>\n862 mod -592: 862 = -592 × -2 + -322, so remainder = -322.\n</reasoning>\nFinal Answer: -322"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 424 + -529"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 424 and -529: 424 + -529 = -105.\n</reasoning>\nFinal Answer: -105"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 18] and B = [1, 4, 13, 16], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 18].\n</reasoning>\nFinal Answer: [2, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "What is 90% of 729?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 729 = (90/100) × 729 = 656.1.\n</reasoning>\nFinal Answer: 656.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 7/2 * 12/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/2) × (12/6) = (84/12) = 7 after simplification.\n</reasoning>\nFinal Answer: 7"
}
] | medium | [
"fractions",
"arithmetic"
] |
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