messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -782 + -862"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -782 and -862: -782 + -862 = -1644.\n</reasoning>\nFinal Answer: -1644"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 244 ÷ 755"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 244 by 755. 244 ÷ 755 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 250 km apart. Their speeds are 84 km/h and 52 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 84+52=136 km/h. Time = 250/136 = 1.8382 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [72, 41, 97, 56, 58, 67, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [41, 49, 56, 58, 67, 72, 97]. Middle value(s) → median = 58.\n</reasoning>\nFinal Answer: 58"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 20/10 - 17/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/10 - 17/20. LCD = 20. Result = 23/20.\n</reasoning>\nFinal Answer: 23/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 94 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 94 × (1 - 3/100) = 94 × 0.97 = 91.18.\n</reasoning>\nFinal Answer: 91.18"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -28 = -80"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 4x = -52. Divide by 4: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-12)x + (-14) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -12² - 4×2×-14 = 256. √discriminant = 16. x = (-(-12) ± 16) / (2×2). Solutions: x = 7 or x = -1.\n</reasoning>\nFinal Answer: x = 7 or x = -1"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -813 × -598"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -813 by -598: -813 × -598 = 486174.\n</reasoning>\nFinal Answer: 486174"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 2 = -10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 4x = -12. Divide by 4: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 31 and 49."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (31×49)/1 = 1519.\n</reasoning>\nFinal Answer: 1519"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the mean of: [55, 26, 40, 69, 44, 68, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 334/7 = 47.7143.\n</reasoning>\nFinal Answer: 47.7143"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -902 + 946"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -902 and 946: -902 + 946 = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/17 - 19/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/17 - 19/17. LCD = 17. Result = 1/17.\n</reasoning>\nFinal Answer: 1/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:36 and A = 80, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/36, so B = A × (36/19) = 80 × 36/19 = 151.5789.\n</reasoning>\nFinal Answer: 151.5789"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 855 km apart. Their speeds are 120 km/h and 66 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 120+66=186 km/h. Time = 855/186 = 4.5968 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 12/18 * 19/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/18) × (19/19) = (228/342) = 2/3 after simplification.\n</reasoning>\nFinal Answer: 2/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (20)x + (24) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 20² - 4×4×24 = 16. √discriminant = 4. x = (-(20) ± 4) / (2×4). Solutions: x = -2 or x = -3.\n</reasoning>\nFinal Answer: x = -2 or x = -3"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 * 7 + 47 * 6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 34×7=238 and 47×6=282, then add: 520.\n</reasoning>\nFinal Answer: 520"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -503 ÷ 619"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -503 by 619. -503 ÷ 619 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -235 mod -544"
},
{
"role": "assistant",
"content": "<reasoning>\n-235 mod -544: -235 = -544 × 0 + -235, so remainder = -235.\n</reasoning>\nFinal Answer: -235"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 45, 45 and height 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (45+45) × 16 = 720.0.\n</reasoning>\nFinal Answer: 720.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 30 = -90"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 10x = -120. Divide by 10: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (4 + 48) * (13 - 25)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (4+48)=52, (13-25)=-12, then 52×-12=-624.\n</reasoning>\nFinal Answer: -624"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 29 * 50 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 29×50=1450, then 46+1450-14=1482.\n</reasoning>\nFinal Answer: 1482"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 347 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 347 × (1 + 30/100) = 347 × 1.3 = 451.1.\n</reasoning>\nFinal Answer: 451.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -762 - 537"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 537 from -762: -762 - 537 = -1299.\n</reasoning>\nFinal Answer: -1299"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:42 and A = 87, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/42, so B = A × (42/42) = 87 × 42/42 = 87.0.\n</reasoning>\nFinal Answer: 87.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -653 mod -334"
},
{
"role": "assistant",
"content": "<reasoning>\n-653 mod -334: -653 = -334 × 1 + -319, so remainder = -319.\n</reasoning>\nFinal Answer: -319"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 727 - 352"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 352 from 727: 727 - 352 = 375.\n</reasoning>\nFinal Answer: 375"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 8/16 + 15/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/16 + 15/7. Common denominator = 14. Result = 37/14.\n</reasoning>\nFinal Answer: 37/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 17, 24, and 34."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 17 + 24 + 34 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -45 = -1249"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 28x = -1204. Divide by 28: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 43 = 595"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 12x = 552. Divide by 12: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:18 and A = 68, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/18, so B = A × (18/31) = 68 × 18/31 = 39.4839.\n</reasoning>\nFinal Answer: 39.4839"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 * 40 + 25 * 4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 11×40=440 and 25×4=100, then add: 540.\n</reasoning>\nFinal Answer: 540"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -683 mod -976"
},
{
"role": "assistant",
"content": "<reasoning>\n-683 mod -976: -683 = -976 × 0 + -683, so remainder = -683.\n</reasoning>\nFinal Answer: -683"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹4498. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4498 × 18/100 = 809.64. Total = 4498 + 809.64 = 5307.64.\n</reasoning>\nFinal Answer: 5307.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 14, 45 and height 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (14+45) × 26 = 767.0.\n</reasoning>\nFinal Answer: 767.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -6 = -48"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 1x = -42. Divide by 1: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 7/13 + 9/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/13 + 9/6. Common denominator = 26. Result = 53/26.\n</reasoning>\nFinal Answer: 53/26"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 85 and width 84."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(85+84) = 2×169 = 338.\n</reasoning>\nFinal Answer: 338"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -24 = 606"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 14x = 630. Divide by 14: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 7 ** 2 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 7²=49, then 46+49-48=47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 697 - 218"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 218 from 697: 697 - 218 = 479.\n</reasoning>\nFinal Answer: 479"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -796 - -188"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -188 from -796: -796 - -188 = -608.\n</reasoning>\nFinal Answer: -608"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 603 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 603 × (1 + 5/100) = 603 × 1.05 = 633.15.\n</reasoning>\nFinal Answer: 633.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -22 = 266"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 24x = 288. Divide by 24: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 15/14 - 12/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/14 - 12/18. LCD = 42. Result = 17/42.\n</reasoning>\nFinal Answer: 17/42"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [63, 18, 28, 42, 38, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 195/6 = 32.5.\n</reasoning>\nFinal Answer: 32.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Ravi has 147 apples and buys 173 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 147 + 173 = 320.\n</reasoning>\nFinal Answer: 320"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (32)x + (64) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 32² - 4×4×64 = 0. √discriminant = 0. x = (-(32) ± 0) / (2×4). Solutions: x = -4 (double root).\n</reasoning>\nFinal Answer: x = -4 (double root)... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 26 = -64"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 2x = -90. Divide by 2: x = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 38 and 43."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (38×43)/1 = 1634.\n</reasoning>\nFinal Answer: 1634"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 64 and width 47."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(64+47) = 2×111 = 222.\n</reasoning>\nFinal Answer: 222"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 993 km apart. Their speeds are 105 km/h and 84 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 105+84=189 km/h. Time = 993/189 = 5.254 hours.\n</reasoning>\nFinal Answe... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:31 and A = 41, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/31, so B = A × (31/36) = 41 × 31/36 = 35.3056.\n</reasoning>\nFinal Answer: 35.3056"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 39 = -281"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 20x = -320. Divide by 20: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹23365 at 7% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 23365 × 7 × 7 / 100 = 11448.85.\n</reasoning>\nFinal Answer: 11448.85"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:25 and A = 91, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/25, so B = A × (25/36) = 91 × 25/36 = 63.1944.\n</reasoning>\nFinal Answer: 63.1944"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -9 = 247"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 16x = 256. Divide by 16: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [83, 9, 82, 77, 59, 19, 51, 34, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 430/9 = 47.7778.\n</reasoning>\nFinal Answer: 47.7778"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 19 and width 57."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(19+57) = 2×76 = 152.\n</reasoning>\nFinal Answer: 152"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 29 = 92"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 3x = 63. Divide by 3: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:27 and A = 89, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/27, so B = A × (27/30) = 89 × 27/30 = 80.1.\n</reasoning>\nFinal Answer: 80.1"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [46, 87, 10, 73, 37, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 309/6 = 51.5.\n</reasoning>\nFinal Answer: 51.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "91 is what percentage of 140?"
},
{
"role": "assistant",
"content": "<reasoning>\n(91/140) × 100 = 65.0%.\n</reasoning>\nFinal Answer: 65.0%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Decrease 343 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 343 × (1 - 70/100) = 343 × 0.30000000000000004 = 102.9.\n</reasoning>\nFinal Answer: 102.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 38 = 482"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 12x = 444. Divide by 12: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 831 km apart. Their speeds are 43 km/h and 101 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 43+101=144 km/h. Time = 831/144 = 5.7708 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 39 ** 2 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 39²=1521, then 44+1521-37=1528.\n</reasoning>\nFinal Answer: 1528"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 41 and height 14."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 41 × 14 = 574.\n</reasoning>\nFinal Answer: 574"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 190 km/h. How far does it travel in 11 hours and 20 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 20/60 = 11.3333 hours. Distance = speed × time = 190 × 11.3333 = 2153.3333 km.\n</reasoning>\nFinal Answer: 2153.3333"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 29 and height 6."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 29 × 6 = 174.\n</reasoning>\nFinal Answer: 174"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹44400 at 19% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 44400 × 19 × 6 / 100 = 50616.0.\n</reasoning>\nFinal Answer: 50616.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [10, 63, 31, 69, 23, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {10: 1, 63: 1, 31: 1, 69: 1, 23: 1, 95: 1}. Most frequent: [10, 63, 31, 69, 23, 95].\n</reasoning>\nFinal Answer: [10, 63, 31, 69, 23, 95]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 29 and height 47."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 29 × 47 = 1363.\n</reasoning>\nFinal Answer: 1363"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 654 × -568"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 654 by -568: 654 × -568 = -371472.\n</reasoning>\nFinal Answer: -371472"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -10 = 617"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 19x = 627. Divide by 19: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 20/12 / 6/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/12) ÷ (6/19) = (20/12) × (19/6) = 95/18.\n</reasoning>\nFinal Answer: 95/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 892 ÷ 347"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 892 by 347. 892 ÷ 347 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "2 workers can complete a job in 13 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 2 × 13 = 26 worker-days. New time = 26 / 3 = 8.6667 days.\n</reasoning>\nFinal Answer: 8.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -43 = 821"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from both sides: 27x = 864. Divide by 27: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 * 34 + 41 * 14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 33×34=1122 and 41×14=574, then add: 1696.\n</reasoning>\nFinal Answer: 1696"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹35204 at 3% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 35204 × 3 × 3 / 100 = 3168.36.\n</reasoning>\nFinal Answer: 3168.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -443 + 555"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -443 and 555: -443 + 555 = 112.\n</reasoning>\nFinal Answer: 112"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 2/7 * 18/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/7) × (18/2) = (36/14) = 18/7 after simplification.\n</reasoning>\nFinal Answer: 18/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [7, 19, 31, 43, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 7 and common difference 12. Next term = 55 + 12 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-36)x + (60) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -36² - 4×3×60 = 576. √discriminant = 24. x = (-(-36) ± 24) / (2×3). Solutions: x = 2 or x = 10.\n</reasoning>\nFinal Answer: x = 2 or x = 10"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:16 and A = 98, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/16, so B = A × (16/23) = 98 × 16/23 = 68.1739.\n</reasoning>\nFinal Answer: 68.1739"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 843 mod -110"
},
{
"role": "assistant",
"content": "<reasoning>\n843 mod -110: 843 = -110 × -8 + -37, so remainder = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 5/18 - 3/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/18 - 3/13. LCD = 234. Result = 11/234.\n</reasoning>\nFinal Answer: 11/234"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [87, 12, 9, 15, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 170/5 = 34.0.\n</reasoning>\nFinal Answer: 34.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹27912 at 15% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 27912 × 15 × 2 / 100 = 8373.6.\n</reasoning>\nFinal Answer: 8373.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 4, 46 and height 18."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (4+46) × 18 = 450.0.\n</reasoning>\nFinal Answer: 450.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-4)x + (-30) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -4² - 4×2×-30 = 256. √discriminant = 16. x = (-(-4) ± 16) / (2×2). Solutions: x = -3 or x = 5.\n</reasoning>\nFinal Answer: x = -3 or x = 5"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 16, 29, and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 16 + 29 + 37 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 17/17 + 17/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/17 + 17/20. Common denominator = 20. Result = 37/20.\n</reasoning>\nFinal Answer: 37/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 43 = -173"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 24x = -216. Divide by 24: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [8, 74, 33, 62, 49, 31, 75, 46, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 75 - 8 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | easy | [
"statistics",
"range"
] |
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