messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 6/17 + 15/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/17 + 15/13. Common denominator = 221. Result = 333/221.\n</reasoning>\nFinal Answer: 333/221"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -622 mod 577"
},
{
"role": "assistant",
"content": "<reasoning>\n-622 mod 577: -622 = 577 × -2 + 532, so remainder = 532.\n</reasoning>\nFinal Answer: 532"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 34, 42 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (34+42) × 50 = 1900.0.\n</reasoning>\nFinal Answer: 1900.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 14 * 28 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 14×28=392, then 8+392-15=385.\n</reasoning>\nFinal Answer: 385"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -15 = -41"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 26x = -26. Divide by 26: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:47 and A = 49, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/47, so B = A × (47/41) = 49 × 47/41 = 56.1707.\n</reasoning>\nFinal Answer: 56.1707"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 82 and width 58."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(82+58) = 2×140 = 280.\n</reasoning>\nFinal Answer: 280"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the range of: [5, 18, 96, 99, 55, 11, 73, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 5 = 94.\n</reasoning>\nFinal Answer: 94"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the range of: [12, 1, 93, 72, 70, 60, 55, 9, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 1 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 1/5 - 7/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/5 - 7/7. LCD = 5. Result = -4/5.\n</reasoning>\nFinal Answer: -4/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:16 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/16, so B = A × (16/2) = 66 × 16/2 = 528.0.\n</reasoning>\nFinal Answer: 528.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 856 × 178"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 856 by 178: 856 × 178 = 152368.\n</reasoning>\nFinal Answer: 152368"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 817 mod -731"
},
{
"role": "assistant",
"content": "<reasoning>\n817 mod -731: 817 = -731 × -2 + -645, so remainder = -645.\n</reasoning>\nFinal Answer: -645"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/1 + 12/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/1 + 12/7. Common denominator = 7. Result = 40/7.\n</reasoning>\nFinal Answer: 40/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -233 mod -584"
},
{
"role": "assistant",
"content": "<reasoning>\n-233 mod -584: -233 = -584 × 0 + -233, so remainder = -233.\n</reasoning>\nFinal Answer: -233"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -1 = 127"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 4x = 128. Divide by 4: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 25 apples and buys 59 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 25 + 59 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:36 and A = 77, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/36, so B = A × (36/32) = 77 × 36/32 = 86.625.\n</reasoning>\nFinal Answer: 86.625"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "66 is what percentage of 172?"
},
{
"role": "assistant",
"content": "<reasoning>\n(66/172) × 100 = 38.3721%.\n</reasoning>\nFinal Answer: 38.3721%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 21 and common difference 20, find the 29th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 21 + (29-1)×20 = 21 + 560 = 581.\n</reasoning>\nFinal Answer: 581"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mode of: [40, 23, 22, 35, 6, 23, 17]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {40: 1, 23: 2, 22: 1, 35: 1, 6: 1, 17: 1}. Most frequent: 23.\n</reasoning>\nFinal Answer: 23"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 81 and height 22."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 81 × 22 = 1782.\n</reasoning>\nFinal Answer: 1782"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 15/18 + 13/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/18 + 13/4. Common denominator = 12. Result = 49/12.\n</reasoning>\nFinal Answer: 49/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -12 - 768"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 768 from -12: -12 - 768 = -780.\n</reasoning>\nFinal Answer: -780"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -563 mod -196"
},
{
"role": "assistant",
"content": "<reasoning>\n-563 mod -196: -563 = -196 × 2 + -171, so remainder = -171.\n</reasoning>\nFinal Answer: -171"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [65, 15, 100, 71, 73, 96, 84, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {65: 1, 15: 1, 100: 1, 71: 1, 73: 1, 96: 1, 84: 1, 62: 1}. Most frequent: [65, 15, 100, 71, 73, 96, 84, 62].\n</reasoning>\nFinal Answer: [65, ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 7/1 / 15/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/1) ÷ (15/14) = (7/1) × (14/15) = 98/15.\n</reasoning>\nFinal Answer: 98/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 90 and height 72."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 90 × 72 = 3240.0.\n</reasoning>\nFinal Answer: 3240.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 31 = 59"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 28x = 28. Divide by 28: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "21 is what percentage of 394?"
},
{
"role": "assistant",
"content": "<reasoning>\n(21/394) × 100 = 5.3299%.\n</reasoning>\nFinal Answer: 5.3299%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "A train travels at 170 km/h. How far does it travel in 2 hours and 30 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 30/60 = 2.5000 hours. Distance = speed × time = 170 × 2.5000 = 425.0 km.\n</reasoning>\nFinal Answer: 425.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 32 * 4 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 32×4=128, then 11+128-12=127.\n</reasoning>\nFinal Answer: 127"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 16/13 + 18/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/13 + 18/13. Common denominator = 13. Result = 34/13.\n</reasoning>\nFinal Answer: 34/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 3 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 3 × 13 = 19.5.\n</reasoning>\nFinal Answer: 19.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 44 apples and buys 36 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 44 + 36 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 5/8 - 12/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/8 - 12/12. LCD = 8. Result = -3/8.\n</reasoning>\nFinal Answer: -3/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -365 + -696"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -365 and -696: -365 + -696 = -1061.\n</reasoning>\nFinal Answer: -1061"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/11 - 18/11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/11 - 18/11. LCD = 11. Result = -12/11.\n</reasoning>\nFinal Answer: -12/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 12/12 * 7/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/12) × (7/2) = (84/24) = 7/2 after simplification.\n</reasoning>\nFinal Answer: 7/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 936 mod -75"
},
{
"role": "assistant",
"content": "<reasoning>\n936 mod -75: 936 = -75 × -13 + -39, so remainder = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:43 and A = 71, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/43, so B = A × (43/43) = 71 × 43/43 = 71.0.\n</reasoning>\nFinal Answer: 71.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 885 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 885 × (1 - 65/100) = 885 × 0.35 = 309.75.\n</reasoning>\nFinal Answer: 309.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 816 - -208"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -208 from 816: 816 - -208 = 1024.\n</reasoning>\nFinal Answer: 1024"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 23 and height 1."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 23 × 1 = 11.5.\n</reasoning>\nFinal Answer: 11.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 544 + 360"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 544 and 360: 544 + 360 = 904.\n</reasoning>\nFinal Answer: 904"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 18 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 18 = 234 worker-days. New time = 234 / 15 = 15.6 days.\n</reasoning>\nFinal Answer: 15.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 64 km/h. How far does it travel in 9 hours and 39 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 39/60 = 9.6500 hours. Distance = speed × time = 64 × 9.6500 = 617.6 km.\n</reasoning>\nFinal Answer: 617.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹34561 at 13% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 34561 × 13 × 7 / 100 = 31450.51.\n</reasoning>\nFinal Answer: 31450.51"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 62 and height 96."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 62 × 96 = 2976.0.\n</reasoning>\nFinal Answer: 2976.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 735 km apart. Their speeds are 77 km/h and 89 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 77+89=166 km/h. Time = 735/166 = 4.4277 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 904 ÷ 687"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 904 by 687. 904 ÷ 687 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 946 km apart. Their speeds are 112 km/h and 48 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 112+48=160 km/h. Time = 946/160 = 5.9125 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 146 apples and buys 150 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 146 + 150 = 296.\n</reasoning>\nFinal Answer: 296"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 25 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 25 = 425 worker-days. New time = 425 / 17 = 25.0 days.\n</reasoning>\nFinal Answer: 25.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 19 and common difference 1, find the 48th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 19 + (48-1)×1 = 19 + 47 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 10, 46 and height 6."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (10+46) × 6 = 168.0.\n</reasoning>\nFinal Answer: 168.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [42, 7, 60, 17, 52, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 60 - 7 = 53.\n</reasoning>\nFinal Answer: 53"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "A train travels at 149 km/h. How far does it travel in 1 hours and 13 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 13/60 = 1.2167 hours. Distance = speed × time = 149 × 1.2167 = 181.2833 km.\n</reasoning>\nFinal Answer: 181.2833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 509 + 37"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 509 and 37: 509 + 37 = 546.\n</reasoning>\nFinal Answer: 546"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -30 = -582"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 23x = -552. Divide by 23: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 96 and width 61."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(96+61) = 2×157 = 314.\n</reasoning>\nFinal Answer: 314"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 22, 6 and height 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (22+6) × 16 = 224.0.\n</reasoning>\nFinal Answer: 224.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -668 mod -937"
},
{
"role": "assistant",
"content": "<reasoning>\n-668 mod -937: -668 = -937 × 0 + -668, so remainder = -668.\n</reasoning>\nFinal Answer: -668"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 940 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 940 × (1 - 90/100) = 940 × 0.09999999999999998 = 94.0.\n</reasoning>\nFinal Answer: 94.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 32, 8 and height 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (32+8) × 24 = 480.0.\n</reasoning>\nFinal Answer: 480.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 17 = 442"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 25x = 425. Divide by 25: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (0)x + (-1) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 0² - 4×1×-1 = 4. √discriminant = 2. x = (-(0) ± 2) / (2×1). Solutions: x = 1 or x = -1.\n</reasoning>\nFinal Answer: x = 1 or x = -1"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -31 = 65"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 24x = 96. Divide by 24: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [81, 82, 19, 52, 68, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 388/6 = 64.6667.\n</reasoning>\nFinal Answer: 64.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 2/18 + 3/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/18 + 3/5. Common denominator = 45. Result = 32/45.\n</reasoning>\nFinal Answer: 32/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 79 km/h. How far does it travel in 3 hours and 16 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 16/60 = 3.2667 hours. Distance = speed × time = 79 × 3.2667 = 258.0667 km.\n</reasoning>\nFinal Answer: 258.0667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 3, 6, 11, 12, 13, 16] and B = [1, 3, 5, 7, 8, 13, 14, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1, 3, 13].\n</reasoning>\nFinal Answer: [1, 3, 13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 1 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 50%: 1 × (1 + 50/100) = 1 × 1.5 = 1.5.\n</reasoning>\nFinal Answer: 1.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 34 = 294"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 13x = 260. Divide by 13: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -45 mod 387"
},
{
"role": "assistant",
"content": "<reasoning>\n-45 mod 387: -45 = 387 × -1 + 342, so remainder = 342.\n</reasoning>\nFinal Answer: 342"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A bag has 2 red and 6 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 6/8 = 0.75.\n</reasoning>\nFinal Answer: 0.75"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Calculate: 610 ÷ 157"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 610 by 157. 610 ÷ 157 = 3 (integer division).\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 779 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 779 × (1 + 35/100) = 779 × 1.35 = 1051.65.\n</reasoning>\nFinal Answer: 1051.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 434 km apart. Their speeds are 53 km/h and 60 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 53+60=113 km/h. Time = 434/113 = 3.8407 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 19 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 19 = 152 worker-days. New time = 152 / 3 = 50.6667 days.\n</reasoning>\nFinal Answer: 50.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 21, 32, and 34."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 21 + 32 + 34 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 359."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 359 by smallest primes repeatedly: 359 = 359.\n</reasoning>\nFinal Answer: 359"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: 730 ÷ -702"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 730 by -702. 730 ÷ -702 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (35 + 24) * (33 - 16)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (35+24)=59, (33-16)=17, then 59×17=1003.\n</reasoning>\nFinal Answer: 1003"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 90% of 709?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 709 = (90/100) × 709 = 638.1.\n</reasoning>\nFinal Answer: 638.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 2 and common difference 7, find the 18th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 2 + (18-1)×7 = 2 + 119 = 121.\n</reasoning>\nFinal Answer: 121"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 45 and common difference 17, find the 22th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 45 + (22-1)×17 = 45 + 357 = 402.\n</reasoning>\nFinal Answer: 402"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [51, 23, 96, 74, 61, 35, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 400/7 = 57.1429.\n</reasoning>\nFinal Answer: 57.1429"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (1)x + (-12) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 1² - 4×1×-12 = 49. √discriminant = 7. x = (-(1) ± 7) / (2×1). Solutions: x = 3 or x = -4.\n</reasoning>\nFinal Answer: x = 3 or x = -4"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (37 + 42) * (16 - 48)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (37+42)=79, (16-48)=-32, then 79×-32=-2528.\n</reasoning>\nFinal Answer: -2528"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 421 km apart. Their speeds are 76 km/h and 96 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 76+96=172 km/h. Time = 421/172 = 2.4477 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Is 173 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n173 has no divisors other than 1 and itself, so it is prime.\n</reasoning>\nFinal Answer: Yes"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:30 and A = 23, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/30, so B = A × (30/13) = 23 × 30/13 = 53.0769.\n</reasoning>\nFinal Answer: 53.0769"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 874 mod -221"
},
{
"role": "assistant",
"content": "<reasoning>\n874 mod -221: 874 = -221 × -4 + -10, so remainder = -10.\n</reasoning>\nFinal Answer: -10"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 17 and height 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 17 × 36 = 306.0.\n</reasoning>\nFinal Answer: 306.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 8/10 - 18/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/10 - 18/12. LCD = 10. Result = -7/10.\n</reasoning>\nFinal Answer: -7/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 187 ÷ -268"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 187 by -268. 187 ÷ -268 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -45 = 686"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 17x = 731. Divide by 17: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [4, 9, 100, 14, 30, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {4: 1, 9: 1, 100: 1, 14: 1, 30: 1, 40: 1}. Most frequent: [4, 9, 100, 14, 30, 40].\n</reasoning>\nFinal Answer: [4, 9, 100, 14, 30, 40]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 77 and width 52."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 77 × 52 = 4004.\n</reasoning>\nFinal Answer: 4004"
}
] | easy | [
"geometry",
"area"
] |
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