messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "If the ratio of A to B is 38:34 and A = 33, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/34, so B = A × (34/38) = 33 × 34/38 = 29.5263.\n</reasoning>\nFinal Answer: 29.5263"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 11 ** 2 - 23"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 11²=121, then 46+121-23=144.\n</reasoning>\nFinal Answer: 144"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 50% of 800?"
},
{
"role": "assistant",
"content": "<reasoning>\n50% of 800 = (50/100) × 800 = 400.0.\n</reasoning>\nFinal Answer: 400.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 57 and 107."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(57,107) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 5 and 2."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (5×2)/1 = 10.\n</reasoning>\nFinal Answer: 10"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "315 is what percentage of 708?"
},
{
"role": "assistant",
"content": "<reasoning>\n(315/708) × 100 = 44.4915%.\n</reasoning>\nFinal Answer: 44.4915%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -549 - -19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from -549: -549 - -19 = -530.\n</reasoning>\nFinal Answer: -530"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 4 and height 8."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 4 × 8 = 32.\n</reasoning>\nFinal Answer: 32"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 529 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 529 × (1 - 90/100) = 529 × 0.09999999999999998 = 52.9.\n</reasoning>\nFinal Answer: 52.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹1416. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1416 × 12/100 = 169.92. Total = 1416 + 169.92 = 1585.92.\n</reasoning>\nFinal Answer: 1585.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 132 × -566"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 132 by -566: 132 × -566 = -74712.\n</reasoning>\nFinal Answer: -74712"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 40 * 38 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 40×38=1520, then 36+1520-4=1552.\n</reasoning>\nFinal Answer: 1552"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:45 and A = 24, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/45, so B = A × (45/7) = 24 × 45/7 = 154.2857.\n</reasoning>\nFinal Answer: 154.2857"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 19/16 * 16/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/16) × (16/4) = (304/64) = 19/4 after simplification.\n</reasoning>\nFinal Answer: 19/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [60, 5, 63, 83, 85, 18, 98, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {60: 1, 5: 1, 63: 1, 83: 1, 85: 1, 18: 1, 98: 1, 70: 1}. Most frequent: [60, 5, 63, 83, 85, 18, 98, 70].\n</reasoning>\nFinal Answer: [60, 5, 63,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the range of: [41, 13, 25, 62, 84, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 84 - 7 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -7 = -601"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 22x = -594. Divide by 22: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 * 18 + 33 * 16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 5×18=90 and 33×16=528, then add: 618.\n</reasoning>\nFinal Answer: 618"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 41 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 41 × (1 - 80/100) = 41 × 0.19999999999999996 = 8.2.\n</reasoning>\nFinal Answer: 8.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -26 = -376"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 10x = -350. Divide by 10: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:16 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/16, so B = A × (16/37) = 75 × 16/37 = 32.4324.\n</reasoning>\nFinal Answer: 32.4324"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -368 ÷ -548"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -368 by -548. -368 ÷ -548 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 29 and height 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 29 × 15 = 435.\n</reasoning>\nFinal Answer: 435"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 20/16 * 12/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/16) × (12/7) = (240/112) = 15/7 after simplification.\n</reasoning>\nFinal Answer: 15/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 15% of 988?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 988 = (15/100) × 988 = 148.2.\n</reasoning>\nFinal Answer: 148.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (12)x + (-15) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 12² - 4×3×-15 = 324. √discriminant = 18. x = (-(12) ± 18) / (2×3). Solutions: x = 1 or x = -5.\n</reasoning>\nFinal Answer: x = 1 or x = -5"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 15/9 - 20/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/9 - 20/2. LCD = 3. Result = -25/3.\n</reasoning>\nFinal Answer: -25/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 7/12 - 2/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/12 - 2/14. LCD = 84. Result = 37/84.\n</reasoning>\nFinal Answer: 37/84"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [97, 97, 1, 93, 27, 15, 85, 49, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 15, 27, 29, 49, 85, 93, 97, 97]. Middle value(s) → median = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 4 and common difference 12, find the 37th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 4 + (37-1)×12 = 4 + 432 = 436.\n</reasoning>\nFinal Answer: 436"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -19 = 229"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 8x = 248. Divide by 8: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -851 mod -774"
},
{
"role": "assistant",
"content": "<reasoning>\n-851 mod -774: -851 = -774 × 1 + -77, so remainder = -77.\n</reasoning>\nFinal Answer: -77"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Is 108 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n108 = 2 × 54, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "What is 60% of 68?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 68 = (60/100) × 68 = 40.8.\n</reasoning>\nFinal Answer: 40.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [72, 69, 27, 86, 52, 73, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 437/7 = 62.4286.\n</reasoning>\nFinal Answer: 62.4286"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "A train travels at 128 km/h. How far does it travel in 9 hours and 41 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 41/60 = 9.6833 hours. Distance = speed × time = 128 × 9.6833 = 1239.4667 km.\n</reasoning>\nFinal Answer: 1239.4667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 111 apples and buys 39 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 111 + 39 = 150.\n</reasoning>\nFinal Answer: 150"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:5 and A = 65, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/5, so B = A × (5/18) = 65 × 5/18 = 18.0556.\n</reasoning>\nFinal Answer: 18.0556"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A bag has 4 red and 7 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 7/11 = 0.6364.\n</reasoning>\nFinal Answer: 0.6364"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Simplify: 11/14 * 9/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/14) × (9/14) = (99/196) = 99/196 after simplification.\n</reasoning>\nFinal Answer: 99/196"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 960 + -631"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 960 and -631: 960 + -631 = 329.\n</reasoning>\nFinal Answer: 329"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 49 and height 48."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 49 × 48 = 1176.0.\n</reasoning>\nFinal Answer: 1176.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 47, 12 and height 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (47+12) × 7 = 206.5.\n</reasoning>\nFinal Answer: 206.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:2 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/2, so B = A × (2/28) = 31 × 2/28 = 2.2143.\n</reasoning>\nFinal Answer: 2.2143"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 18/2 / 7/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/2) ÷ (7/16) = (18/2) × (16/7) = 144/7.\n</reasoning>\nFinal Answer: 144/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (45 + 12) * (2 - 34)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (45+12)=57, (2-34)=-32, then 57×-32=-1824.\n</reasoning>\nFinal Answer: -1824"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 6/15 - 18/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/15 - 18/7. LCD = 35. Result = -76/35.\n</reasoning>\nFinal Answer: -76/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -857 mod 488"
},
{
"role": "assistant",
"content": "<reasoning>\n-857 mod 488: -857 = 488 × -2 + 119, so remainder = 119.\n</reasoning>\nFinal Answer: 119"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 + 26 ** 2 - 23"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 26²=676, then 20+676-23=673.\n</reasoning>\nFinal Answer: 673"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 214 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 7%: 214 × (1 + 7/100) = 214 × 1.07 = 228.98.\n</reasoning>\nFinal Answer: 228.98"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -173 mod 518"
},
{
"role": "assistant",
"content": "<reasoning>\n-173 mod 518: -173 = 518 × -1 + 345, so remainder = 345.\n</reasoning>\nFinal Answer: 345"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 449 + 326"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 449 and 326: 449 + 326 = 775.\n</reasoning>\nFinal Answer: 775"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 67 and height 57."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 67 × 57 = 3819.\n</reasoning>\nFinal Answer: 3819"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:42 and A = 84, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/42, so B = A × (42/16) = 84 × 42/16 = 220.5.\n</reasoning>\nFinal Answer: 220.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -8 = 304"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 12x = 312. Divide by 12: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 682 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 682 × (1 - 50/100) = 682 × 0.5 = 341.0.\n</reasoning>\nFinal Answer: 341.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 413 - -493"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -493 from 413: 413 - -493 = 906.\n</reasoning>\nFinal Answer: 906"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 84 and width 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 84 × 21 = 1764.\n</reasoning>\nFinal Answer: 1764"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (28)x + (-32) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 28² - 4×4×-32 = 1296. √discriminant = 36. x = (-(28) ± 36) / (2×4). Solutions: x = 1 or x = -8.\n</reasoning>\nFinal Answer: x = 1 or x = -8"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the median of: [67, 16, 5, 52, 8, 53, 20, 12, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 8, 12, 16, 20, 37, 52, 53, 67]. Middle value(s) → median = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 543 ÷ 772"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 543 by 772. 543 ÷ 772 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 241 mod 821"
},
{
"role": "assistant",
"content": "<reasoning>\n241 mod 821: 241 = 821 × 0 + 241, so remainder = 241.\n</reasoning>\nFinal Answer: 241"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 9/9 / 20/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/9) ÷ (20/2) = (9/9) × (2/20) = 1/10.\n</reasoning>\nFinal Answer: 1/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 30 * 30 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 30×30=900, then 47+900-37=910.\n</reasoning>\nFinal Answer: 910"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 33 and height 57."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 33 × 57 = 940.5.\n</reasoning>\nFinal Answer: 940.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [65, 77, 81, 33, 6, 34, 6, 14, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 6, 14, 32, 33, 34, 65, 77, 81]. Middle value(s) → median = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 176 + -396"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 176 and -396: 176 + -396 = -220.\n</reasoning>\nFinal Answer: -220"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 * 13 + 21 * 37"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 32×13=416 and 21×37=777, then add: 1193.\n</reasoning>\nFinal Answer: 1193"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 973 - -732"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -732 from 973: 973 - -732 = 1705.\n</reasoning>\nFinal Answer: 1705"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 16 * 23 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 16×23=368, then 18+368-38=348.\n</reasoning>\nFinal Answer: 348"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 54 km/h. How far does it travel in 11 hours and 44 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 44/60 = 11.7333 hours. Distance = speed × time = 54 × 11.7333 = 633.6 km.\n</reasoning>\nFinal Answer: 633.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 50 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 50 × 50 = 2500.\n</reasoning>\nFinal Answer: 2500"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 107 ÷ 289"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 107 by 289. 107 ÷ 289 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/13 - 4/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/13 - 4/9. LCD = 117. Result = 83/117.\n</reasoning>\nFinal Answer: 83/117"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -352 mod 736"
},
{
"role": "assistant",
"content": "<reasoning>\n-352 mod 736: -352 = 736 × -1 + 384, so remainder = 384.\n</reasoning>\nFinal Answer: 384"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 6, 9, 18] and B = [1, 4, 8, 10, 11, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [3, 6, 9].\n</reasoning>\nFinal Answer: [3, 6, 9]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mode of: [19, 31, 21, 80, 90, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {19: 1, 31: 1, 21: 1, 80: 1, 90: 1, 16: 1}. Most frequent: [19, 31, 21, 80, 90, 16].\n</reasoning>\nFinal Answer: [19, 31, 21, 80, 90, 16]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (1 + 20) * (14 - 33)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (1+20)=21, (14-33)=-19, then 21×-19=-399.\n</reasoning>\nFinal Answer: -399"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 23 * 13 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 23×13=299, then 33+299-48=284.\n</reasoning>\nFinal Answer: 284"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "51 is what percentage of 162?"
},
{
"role": "assistant",
"content": "<reasoning>\n(51/162) × 100 = 31.4815%.\n</reasoning>\nFinal Answer: 31.4815%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 33 and height 68."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 33 × 68 = 2244.\n</reasoning>\nFinal Answer: 2244"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 14 = 182"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 6x = 168. Divide by 6: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [3, 8, 14, 16, 17, 19] and B = [5, 7, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [3, 8, 14, 16, 17].\n</reasoning>\nFinal Answer: [3, 8, 14, 16, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [10, 22, 34, 46, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 10 and common difference 12. Next term = 58 + 12 = 70.\n</reasoning>\nFinal Answer: 70"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 26, 23 and height 14."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (26+23) × 14 = 343.0.\n</reasoning>\nFinal Answer: 343.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -28 = -108"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 20x = -80. Divide by 20: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 8/16 - 1/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/16 - 1/5. LCD = 10. Result = 3/10.\n</reasoning>\nFinal Answer: 3/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:6 and A = 47, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/6, so B = A × (6/8) = 47 × 6/8 = 35.25.\n</reasoning>\nFinal Answer: 35.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -547 × 116"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -547 by 116: -547 × 116 = -63452.\n</reasoning>\nFinal Answer: -63452"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 84 and height 60."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 84 × 60 = 2520.0.\n</reasoning>\nFinal Answer: 2520.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 50 = -1300"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 30x = -1350. Divide by 30: x = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 15 = -192"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 9x = -207. Divide by 9: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 410 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 410 × (1 + 25/100) = 410 × 1.25 = 512.5.\n</reasoning>\nFinal Answer: 512.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:27 and A = 38, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/27, so B = A × (27/16) = 38 × 27/16 = 64.125.\n</reasoning>\nFinal Answer: 64.125"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 26 = -46"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 18x = -72. Divide by 18: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 16 ** 2 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 16²=256, then 37+256-46=247.\n</reasoning>\nFinal Answer: 247"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 27 apples and buys 71 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 27 + 71 = 98.\n</reasoning>\nFinal Answer: 98"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 15] and B = [13, 16, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 3, 15].\n</reasoning>\nFinal Answer: [2, 3, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 49 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 49 × 45 = 1102.5.\n</reasoning>\nFinal Answer: 1102.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [3, 6, 8, 10, 12, 13, 14, 16] and B = [2, 5, 8, 11, 15], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [3, 6, 10, 12, 13, 14, 16].\n</reasoning>\nFinal Answer: [3, 6, 10, 12, 13... | medium | [
"set_theory"
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.