messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Given A = [4, 6, 14, 18, 19] and B = [1, 3, 6, 12, 13, 18, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [6, 18, 19].\n</reasoning>\nFinal Answer: [6, 18, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 6/1 - 11/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/1 - 11/3. LCD = 3. Result = 7/3.\n</reasoning>\nFinal Answer: 7/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 10 and 137."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(10,137) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 22 ** 2 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 22²=484, then 30+484-26=488.\n</reasoning>\nFinal Answer: 488"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 19/7 + 10/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/7 + 10/9. Common denominator = 63. Result = 241/63.\n</reasoning>\nFinal Answer: 241/63"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [4, 7, 13] and B = [5, 8, 10, 13, 15, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [13].\n</reasoning>\nFinal Answer: [13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 50 and 44."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (50×44)/2 = 1100.\n</reasoning>\nFinal Answer: 1100"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 12 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 12 = 36 worker-days. New time = 36 / 7 = 5.1429 days.\n</reasoning>\nFinal Answer: 5.1429"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 5/11 / 12/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/11) ÷ (12/12) = (5/11) × (12/12) = 5/11.\n</reasoning>\nFinal Answer: 5/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -726 ÷ -230"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -726 by -230. -726 ÷ -230 = 3 (integer division).\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -668 - -128"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -128 from -668: -668 - -128 = -540.\n</reasoning>\nFinal Answer: -540"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 * 31 + 23 * 46"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 15×31=465 and 23×46=1058, then add: 1523.\n</reasoning>\nFinal Answer: 1523"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 170 × 783"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 170 by 783: 170 × 783 = 133110.\n</reasoning>\nFinal Answer: 133110"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 21, 24, and 26."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 21 + 24 + 26 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Increase 416 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 416 × (1 + 40/100) = 416 × 1.4 = 582.4.\n</reasoning>\nFinal Answer: 582.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [3, 8, 12, 13] and B = [2, 4, 6, 12, 16, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [12].\n</reasoning>\nFinal Answer: [12]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 * 41 + 50 * 45"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 30×41=1230 and 50×45=2250, then add: 3480.\n</reasoning>\nFinal Answer: 3480"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 10 and width 23."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(10+23) = 2×33 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [12, 30, 48, 66, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 12 and common difference 18. Next term = 84 + 18 = 102.\n</reasoning>\nFinal Answer: 102"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 3 = -3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 1x = -6. Divide by 1: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 * 50 + 16 * 28"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 20×50=1000 and 16×28=448, then add: 1448.\n</reasoning>\nFinal Answer: 1448"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 112."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 112 by smallest primes repeatedly: 112 = 2 × 2 × 2 × 2 × 7.\n</reasoning>\nFinal Answer: 2 × 2 × 2 × 2 × 7"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: -144 mod -994"
},
{
"role": "assistant",
"content": "<reasoning>\n-144 mod -994: -144 = -994 × 0 + -144, so remainder = -144.\n</reasoning>\nFinal Answer: -144"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 16/8 / 20/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/8) ÷ (20/2) = (16/8) × (2/20) = 1/5.\n</reasoning>\nFinal Answer: 1/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [43, 6, 62, 66, 90, 91, 62, 96, 3, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 3 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 26 - -153"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -153 from 26: 26 - -153 = 179.\n</reasoning>\nFinal Answer: 179"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 31 = -189"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 11x = -220. Divide by 11: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:21 and A = 97, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/21, so B = A × (21/40) = 97 × 21/40 = 50.925.\n</reasoning>\nFinal Answer: 50.925"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [39, 23, 37, 57, 71, 12, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 308/7 = 44.0.\n</reasoning>\nFinal Answer: 44.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:34 and A = 62, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/34, so B = A × (34/28) = 62 × 34/28 = 75.2857.\n</reasoning>\nFinal Answer: 75.2857"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [62, 29, 61, 32, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 219/5 = 43.8.\n</reasoning>\nFinal Answer: 43.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 40 and common difference 18, find the 44th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 40 + (44-1)×18 = 40 + 774 = 814.\n</reasoning>\nFinal Answer: 814"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -479 + 357"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -479 and 357: -479 + 357 = -122.\n</reasoning>\nFinal Answer: -122"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 430 + -859"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 430 and -859: 430 + -859 = -429.\n</reasoning>\nFinal Answer: -429"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 25 and 42."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (25×42)/1 = 1050.\n</reasoning>\nFinal Answer: 1050"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Given A = [2, 8, 12, 18] and B = [3, 4, 10, 13, 15, 16, 18, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 3, 4, 8, 10, 12, 13, 15, 16, 18, 19].\n</reasoning>\nFinal Answer: [2, 3, 4,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 39:34 and A = 73, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 39/34, so B = A × (34/39) = 73 × 34/39 = 63.641.\n</reasoning>\nFinal Answer: 63.641"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the circumference of a circle with radius 24. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nCircumference = 2πr = 2 × π × 24 ≈ 150.7964.\n</reasoning>\nFinal Answer: 150.7964"
}
] | easy | [
"geometry",
"circumference"
] |
[
{
"role": "user",
"content": "Calculate: 819 × -871"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 819 by -871: 819 × -871 = -713349.\n</reasoning>\nFinal Answer: -713349"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 864 km apart. Their speeds are 119 km/h and 98 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 119+98=217 km/h. Time = 864/217 = 3.9816 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 7, 31 and height 49."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (7+31) × 49 = 931.0.\n</reasoning>\nFinal Answer: 931.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -983 - 192"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 192 from -983: -983 - 192 = -1175.\n</reasoning>\nFinal Answer: -1175"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 804 mod -654"
},
{
"role": "assistant",
"content": "<reasoning>\n804 mod -654: 804 = -654 × -2 + -504, so remainder = -504.\n</reasoning>\nFinal Answer: -504"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 6 ÷ 333"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 6 by 333. 6 ÷ 333 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 8 and 11."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (8×11)/1 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 * 18 + 47 * 14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 40×18=720 and 47×14=658, then add: 1378.\n</reasoning>\nFinal Answer: 1378"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [95, 7, 67, 98, 56, 1, 83, 17, 24, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 521/10 = 52.1.\n</reasoning>\nFinal Answer: 52.1"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 32, 34 and height 9."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (32+34) × 9 = 297.0.\n</reasoning>\nFinal Answer: 297.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 398 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 398 × (1 + 3/100) = 398 × 1.03 = 409.94.\n</reasoning>\nFinal Answer: 409.94"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 8/19 + 10/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/19 + 10/17. Common denominator = 323. Result = 326/323.\n</reasoning>\nFinal Answer: 326/323"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 5, 7, 9, 10, 15, 19] and B = [5, 7, 9, 10, 11, 17, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [5, 7, 9, 10].\n</reasoning>\nFinal Answer: [5, 7, 9, 10]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "A train travels at 84 km/h. How far does it travel in 4 hours and 50 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 50/60 = 4.8333 hours. Distance = speed × time = 84 × 4.8333 = 406.0 km.\n</reasoning>\nFinal Answer: 406.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 41 and height 65."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 41 × 65 = 1332.5.\n</reasoning>\nFinal Answer: 1332.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 307 × -169"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 307 by -169: 307 × -169 = -51883.\n</reasoning>\nFinal Answer: -51883"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -644 - -246"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -246 from -644: -644 - -246 = -398.\n</reasoning>\nFinal Answer: -398"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 127 mod -759"
},
{
"role": "assistant",
"content": "<reasoning>\n127 mod -759: 127 = -759 × -1 + -632, so remainder = -632.\n</reasoning>\nFinal Answer: -632"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 21 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 21 = 357 worker-days. New time = 357 / 2 = 178.5 days.\n</reasoning>\nFinal Answer: 178.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [3, 10, 11, 16, 17, 18, 19] and B = [6, 7, 10, 12, 13, 15, 16, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [10, 16, 18].\n</reasoning>\nFinal Answer: [10, 16, 18]"... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Ravi has 163 apples and buys 116 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 163 + 116 = 279.\n</reasoning>\nFinal Answer: 279"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 * 42 + 9 * 47"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 42×42=1764 and 9×47=423, then add: 2187.\n</reasoning>\nFinal Answer: 2187"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:46 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/46, so B = A × (46/11) = 31 × 46/11 = 129.6364.\n</reasoning>\nFinal Answer: 129.6364"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:14 and A = 89, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/14, so B = A × (14/38) = 89 × 14/38 = 32.7895.\n</reasoning>\nFinal Answer: 32.7895"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [7, 8, 11, 19] and B = [1, 5, 6, 14], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 5, 6, 7, 8, 11, 14, 19].\n</reasoning>\nFinal Answer: [1, 5, 6, 7, 8, 11, 14, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [37, 10, 23, 72, 59, 66, 8, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 72 - 8 = 64.\n</reasoning>\nFinal Answer: 64"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 31 and common difference 14, find the 25th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 31 + (25-1)×14 = 31 + 336 = 367.\n</reasoning>\nFinal Answer: 367"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 32, 12 and height 19."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (32+12) × 19 = 418.0.\n</reasoning>\nFinal Answer: 418.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 33 ** 2 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 33²=1089, then 18+1089-44=1063.\n</reasoning>\nFinal Answer: 1063"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -904 × 867"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -904 by 867: -904 × 867 = -783768.\n</reasoning>\nFinal Answer: -783768"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (6)x + (8) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 6² - 4×1×8 = 4. √discriminant = 2. x = (-(6) ± 2) / (2×1). Solutions: x = -2 or x = -4.\n</reasoning>\nFinal Answer: x = -2 or x = -4"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -43 = -36"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from both sides: 7x = 7. Divide by 7: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (34 + 7) * (40 - 32)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (34+7)=41, (40-32)=8, then 41×8=328.\n</reasoning>\nFinal Answer: 328"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -15 = 525"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 12x = 540. Divide by 12: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 16 = 610"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 22x = 594. Divide by 22: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 131."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 131 by smallest primes repeatedly: 131 = 131.\n</reasoning>\nFinal Answer: 131"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 42 = -583"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 25x = -625. Divide by 25: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 5/14 / 14/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/14) ÷ (14/11) = (5/14) × (11/14) = 55/196.\n</reasoning>\nFinal Answer: 55/196"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 45 = 437"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 8x = 392. Divide by 8: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 147 km/h. How far does it travel in 3 hours and 44 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 44/60 = 3.7333 hours. Distance = speed × time = 147 × 3.7333 = 548.8 km.\n</reasoning>\nFinal Answer: 548.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 6 * 38 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 6×38=228, then 36+228-41=223.\n</reasoning>\nFinal Answer: 223"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 6, 9, 10, 11, 13, 14] and B = [2, 3, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 6, 9, 10, 11, 13, 14].\n</reasoning>\nFinal Answer: [4, 6, 9, 10, 11, 13, 14]"... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 9/9 / 19/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/9) ÷ (19/11) = (9/9) × (11/19) = 11/19.\n</reasoning>\nFinal Answer: 11/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 32 = -290"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 7x = -322. Divide by 7: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 665 mod 697"
},
{
"role": "assistant",
"content": "<reasoning>\n665 mod 697: 665 = 697 × 0 + 665, so remainder = 665.\n</reasoning>\nFinal Answer: 665"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 * 33 + 11 * 5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 43×33=1419 and 11×5=55, then add: 1474.\n</reasoning>\nFinal Answer: 1474"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 8, 15, 19] and B = [3, 10, 16, 17, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [3, 19].\n</reasoning>\nFinal Answer: [3, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -178 mod -679"
},
{
"role": "assistant",
"content": "<reasoning>\n-178 mod -679: -178 = -679 × 0 + -178, so remainder = -178.\n</reasoning>\nFinal Answer: -178"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 46 and common difference 7, find the 23th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 46 + (23-1)×7 = 46 + 154 = 200.\n</reasoning>\nFinal Answer: 200"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 4 = 760"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 21x = 756. Divide by 21: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 533 - 554"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 554 from 533: 533 - 554 = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 27 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 27 = 459 worker-days. New time = 459 / 8 = 57.375 days.\n</reasoning>\nFinal Answer: 57.375"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -216 - -540"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -540 from -216: -216 - -540 = 324.\n</reasoning>\nFinal Answer: 324"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 40% of 690?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 690 = (40/100) × 690 = 276.0.\n</reasoning>\nFinal Answer: 276.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 98 apples and buys 144 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 98 + 144 = 242.\n</reasoning>\nFinal Answer: 242"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 0 = 899"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 29x = 899. Divide by 29: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [20, 39, 58, 77, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 20 and common difference 19. Next term = 96 + 19 = 115.\n</reasoning>\nFinal Answer: 115"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the range of: [8, 19, 54, 70, 35, 11, 71, 84, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 84 - 1 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 273."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 273 by smallest primes repeatedly: 273 = 3 × 7 × 13.\n</reasoning>\nFinal Answer: 3 × 7 × 13"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: -878 mod -542"
},
{
"role": "assistant",
"content": "<reasoning>\n-878 mod -542: -878 = -542 × 1 + -336, so remainder = -336.\n</reasoning>\nFinal Answer: -336"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹17301 at 2% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 17301 × 2 × 2 / 100 = 692.04.\n</reasoning>\nFinal Answer: 692.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 46 = -170"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 6x = -216. Divide by 6: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
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