messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the area of a rectangle with length 1 and width 84."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 1 × 84 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "657 is what percentage of 783?"
},
{
"role": "assistant",
"content": "<reasoning>\n(657/783) × 100 = 83.908%.\n</reasoning>\nFinal Answer: 83.908%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Increase 306 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 20%: 306 × (1 + 20/100) = 306 × 1.2 = 367.2.\n</reasoning>\nFinal Answer: 367.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -2 = -117"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -2 from both sides: 23x = -115. Divide by 23: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (17 + 24) * (29 - 31)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (17+24)=41, (29-31)=-2, then 41×-2=-82.\n</reasoning>\nFinal Answer: -82"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 90% of 139?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 139 = (90/100) × 139 = 125.1.\n</reasoning>\nFinal Answer: 125.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 13 and common difference 7, find the 11th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 13 + (11-1)×7 = 13 + 70 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the median of: [64, 87, 49, 58, 86, 56, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [49, 56, 58, 64, 76, 86, 87]. Middle value(s) → median = 64.\n</reasoning>\nFinal Answer: 64"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the range of: [21, 33, 23, 37, 23, 78, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 78 - 4 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -4 = -487"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 21x = -483. Divide by 21: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹3598. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3598 × 5/100 = 179.9. Total = 3598 + 179.9 = 3777.9.\n</reasoning>\nFinal Answer: 3777.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 94 and width 19."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 94 × 19 = 1786.\n</reasoning>\nFinal Answer: 1786"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 5, 6, 11, 16, 18, 19] and B = [3, 5, 15], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 4, 5, 6, 11, 15, 16, 18, 19].\n</reasoning>\nFinal Answer: [3, 4, 5, 6, 11, 15, 16... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [81, 68, 29, 65, 84, 88, 5, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 88 - 5 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 17/2 + 18/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/2 + 18/6. Common denominator = 2. Result = 23/2.\n</reasoning>\nFinal Answer: 23/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 12 = 362"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 10x = 350. Divide by 10: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 1 = -15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 4x = -16. Divide by 4: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 11 = -217"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 19x = -228. Divide by 19: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -11 = 358"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 9x = 369. Divide by 9: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 130 × -877"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 130 by -877: 130 × -877 = -114010.\n</reasoning>\nFinal Answer: -114010"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:33 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/33, so B = A × (33/47) = 27 × 33/47 = 18.9574.\n</reasoning>\nFinal Answer: 18.9574"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 146 and 29."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(146,29) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [11, 15, 19, 23, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 11 and common difference 4. Next term = 27 + 4 = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [43, 46, 49, 52, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 43 and common difference 3. Next term = 55 + 3 = 58.\n</reasoning>\nFinal Answer: 58"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the range of: [52, 60, 79, 31, 98, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 25 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 53 and width 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 53 × 11 = 583.\n</reasoning>\nFinal Answer: 583"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -822 - 195"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 195 from -822: -822 - 195 = -1017.\n</reasoning>\nFinal Answer: -1017"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 83 and height 86."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 83 × 86 = 3569.0.\n</reasoning>\nFinal Answer: 3569.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 + 21 * 10 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 21×10=210, then 5+210-40=175.\n</reasoning>\nFinal Answer: 175"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -459 ÷ -462"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -459 by -462. -459 ÷ -462 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -419 - -238"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -238 from -419: -419 - -238 = -181.\n</reasoning>\nFinal Answer: -181"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [12, 82, 87, 85, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {12: 1, 82: 1, 87: 1, 85: 1, 32: 1}. Most frequent: [12, 82, 87, 85, 32].\n</reasoning>\nFinal Answer: [12, 82, 87, 85, 32]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Given A = [6, 7, 9, 14, 15, 16, 18] and B = [11, 16, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [6, 7, 9, 14, 15].\n</reasoning>\nFinal Answer: [6, 7, 9, 14, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "290 is what percentage of 435?"
},
{
"role": "assistant",
"content": "<reasoning>\n(290/435) × 100 = 66.6667%.\n</reasoning>\nFinal Answer: 66.6667%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 286 + 82"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 286 and 82: 286 + 82 = 368.\n</reasoning>\nFinal Answer: 368"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹3117. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3117 × 18/100 = 561.06. Total = 3117 + 561.06 = 3678.06.\n</reasoning>\nFinal Answer: 3678.06"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:8 and A = 77, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/8, so B = A × (8/47) = 77 × 8/47 = 13.1064.\n</reasoning>\nFinal Answer: 13.1064"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 9 * 50 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 9×50=450, then 16+450-17=449.\n</reasoning>\nFinal Answer: 449"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 50 = 24"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 2x = -26. Divide by 2: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 29 and 6."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (29×6)/1 = 174.\n</reasoning>\nFinal Answer: 174"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -17 = 147"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 4x = 164. Divide by 4: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 86 × 561"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 86 by 561: 86 × 561 = 48246.\n</reasoning>\nFinal Answer: 48246"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 324 - -537"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -537 from 324: 324 - -537 = 861.\n</reasoning>\nFinal Answer: 861"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -30 = 579"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 29x = 609. Divide by 29: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 6, 7, 9] and B = [1, 5, 6, 16], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 7, 9].\n</reasoning>\nFinal Answer: [2, 7, 9]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 545 + -787"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 545 and -787: 545 + -787 = -242.\n</reasoning>\nFinal Answer: -242"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 23 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 23 × 5 = 57.5.\n</reasoning>\nFinal Answer: 57.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 12 = -208"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 20x = -220. Divide by 20: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 9, 14, 15, 17, 18] and B = [1, 2, 4, 9, 13, 14, 16, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [15, 18].\n</reasoning>\nFinal Answer: [15, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 69 and height 70."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 69 × 70 = 2415.0.\n</reasoning>\nFinal Answer: 2415.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 47 and common difference 16, find the 24th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 47 + (24-1)×16 = 47 + 368 = 415.\n</reasoning>\nFinal Answer: 415"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -455 × -918"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -455 by -918: -455 × -918 = 417690.\n</reasoning>\nFinal Answer: 417690"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 25 apples and buys 21 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 25 + 21 = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 505 km apart. Their speeds are 116 km/h and 43 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 116+43=159 km/h. Time = 505/159 = 3.1761 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 4, 6, 9, 11, 12, 14] and B = [2, 11, 13, 14, 16], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 4, 6, 9, 12].\n</reasoning>\nFinal Answer: [1, 4, 6, 9, 12]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 8, 10, 11, 13, 15, 19] and B = [4, 5, 10, 11, 13, 14, 15, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 4, 8, 14, 17, 19].\n</reasoni... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 969 - 965"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 965 from 969: 969 - 965 = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [16, 2, 66, 87, 82, 59, 33, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 419/8 = 52.375.\n</reasoning>\nFinal Answer: 52.375"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 14 * 34 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 14×34=476, then 29+476-44=461.\n</reasoning>\nFinal Answer: 461"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 6/4 + 9/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/4 + 9/4. Common denominator = 4. Result = 15/4.\n</reasoning>\nFinal Answer: 15/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [18, 29, 84, 84, 47, 32, 18, 16, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [16, 18, 18, 29, 32, 47, 57, 84, 84]. Middle value(s) → median = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 14 and height 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 14 × 17 = 238.\n</reasoning>\nFinal Answer: 238"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 7, 15] and B = [3, 5, 15, 16], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 2, 7].\n</reasoning>\nFinal Answer: [1, 2, 7]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -737 + -801"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -737 and -801: -737 + -801 = -1538.\n</reasoning>\nFinal Answer: -1538"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-8)x + (-140) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -8² - 4×4×-140 = 2304. √discriminant = 48. x = (-(-8) ± 48) / (2×4). Solutions: x = 7 or x = -5.\n</reasoning>\nFinal Answer: x = 7 or x = -5"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:37 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/37, so B = A × (37/40) = 74 × 37/40 = 68.45.\n</reasoning>\nFinal Answer: 68.45"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 20/16 / 19/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/16) ÷ (19/16) = (20/16) × (16/19) = 20/19.\n</reasoning>\nFinal Answer: 20/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 10/14 - 3/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/14 - 3/10. LCD = 70. Result = 29/70.\n</reasoning>\nFinal Answer: 29/70"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 513 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 513 × (1 - 90/100) = 513 × 0.09999999999999998 = 51.3.\n</reasoning>\nFinal Answer: 51.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 35 = 195"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 8x = 160. Divide by 8: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 77 and width 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 77 × 42 = 3234.\n</reasoning>\nFinal Answer: 3234"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹19135 at 4% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 19135 × 4 × 4 / 100 = 3061.6.\n</reasoning>\nFinal Answer: 3061.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [25, 43, 75, 59, 7, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 266/6 = 44.3333.\n</reasoning>\nFinal Answer: 44.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Increase 724 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 724 × (1 + 60/100) = 724 × 1.6 = 1158.4.\n</reasoning>\nFinal Answer: 1158.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹1663. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1663 × 12/100 = 199.56. Total = 1663 + 199.56 = 1862.56.\n</reasoning>\nFinal Answer: 1862.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 242 mod 916"
},
{
"role": "assistant",
"content": "<reasoning>\n242 mod 916: 242 = 916 × 0 + 242, so remainder = 242.\n</reasoning>\nFinal Answer: 242"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 5/4 - 8/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/4 - 8/4. LCD = 4. Result = -3/4.\n</reasoning>\nFinal Answer: -3/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 319 mod 486"
},
{
"role": "assistant",
"content": "<reasoning>\n319 mod 486: 319 = 486 × 0 + 319, so remainder = 319.\n</reasoning>\nFinal Answer: 319"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "376 is what percentage of 681?"
},
{
"role": "assistant",
"content": "<reasoning>\n(376/681) × 100 = 55.2129%.\n</reasoning>\nFinal Answer: 55.2129%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:20 and A = 30, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/20, so B = A × (20/16) = 30 × 20/16 = 37.5.\n</reasoning>\nFinal Answer: 37.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 406 × -103"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 406 by -103: 406 × -103 = -41818.\n</reasoning>\nFinal Answer: -41818"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 39:24 and A = 1, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 39/24, so B = A × (24/39) = 1 × 24/39 = 0.6154.\n</reasoning>\nFinal Answer: 0.6154"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 69 and height 96."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 69 × 96 = 6624.\n</reasoning>\nFinal Answer: 6624"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 35 = -577"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 18x = -612. Divide by 18: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (28 + 50) * (46 - 22)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (28+50)=78, (46-22)=24, then 78×24=1872.\n</reasoning>\nFinal Answer: 1872"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 29 and 59."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(29,59) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 8 and common difference 10, find the 28th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 8 + (28-1)×10 = 8 + 270 = 278.\n</reasoning>\nFinal Answer: 278"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the range of: [46, 26, 22, 34, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 46 - 1 = 45.\n</reasoning>\nFinal Answer: 45"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 27 and height 89."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 27 × 89 = 1201.5.\n</reasoning>\nFinal Answer: 1201.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 6/14 / 8/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/14) ÷ (8/2) = (6/14) × (2/8) = 3/28.\n</reasoning>\nFinal Answer: 3/28"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [7, 8, 9, 11, 14] and B = [2, 7, 8, 11, 13, 16], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 7, 8, 9, 11, 13, 14, 16].\n</reasoning>\nFinal Answer: [2, 7, 8, 9, 11, 13, 14, 16... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "50 is what percentage of 78?"
},
{
"role": "assistant",
"content": "<reasoning>\n(50/78) × 100 = 64.1026%.\n</reasoning>\nFinal Answer: 64.1026%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 705 km apart. Their speeds are 116 km/h and 48 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 116+48=164 km/h. Time = 705/164 = 4.2988 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -149 mod 670"
},
{
"role": "assistant",
"content": "<reasoning>\n-149 mod 670: -149 = 670 × -1 + 521, so remainder = 521.\n</reasoning>\nFinal Answer: 521"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [86, 91, 5, 93, 35, 57, 40, 97, 4, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 527/10 = 52.7.\n</reasoning>\nFinal Answer: 52.7"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -20 = -128"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 9x = -108. Divide by 9: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 147 km/h. How far does it travel in 5 hours and 3 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 3/60 = 5.0500 hours. Distance = speed × time = 147 × 5.0500 = 742.35 km.\n</reasoning>\nFinal Answer: 742.35"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹1658 at 1% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 1658 × 1 × 9 / 100 = 149.22.\n</reasoning>\nFinal Answer: 149.22"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 723 mod -382"
},
{
"role": "assistant",
"content": "<reasoning>\n723 mod -382: 723 = -382 × -2 + -41, so remainder = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 7 * 29 - 23"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 7×29=203, then 10+203-23=190.\n</reasoning>\nFinal Answer: 190"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
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