messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 27x + 29 = -457"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 27x = -486. Divide by 27: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 6/20 / 8/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/20) ÷ (8/1) = (6/20) × (1/8) = 3/80.\n</reasoning>\nFinal Answer: 3/80"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 33 and common difference 18, find the 13th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 33 + (13-1)×18 = 33 + 216 = 249.\n</reasoning>\nFinal Answer: 249"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 81 × -643"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 81 by -643: 81 × -643 = -52083.\n</reasoning>\nFinal Answer: -52083"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 39 and common difference 1, find the 13th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 39 + (13-1)×1 = 39 + 12 = 51.\n</reasoning>\nFinal Answer: 51"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 49, 3 and height 43."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (49+3) × 43 = 1118.0.\n</reasoning>\nFinal Answer: 1118.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 24 * 47 - 49"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 24×47=1128, then 43+1128-49=1122.\n</reasoning>\nFinal Answer: 1122"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -16 = -700"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 18x = -684. Divide by 18: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -30 = -155"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 25x = -125. Divide by 25: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 24, 27 and height 40."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (24+27) × 40 = 1020.0.\n</reasoning>\nFinal Answer: 1020.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -4 = 54"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 2x = 58. Divide by 2: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 21 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 21 = 336 worker-days. New time = 336 / 11 = 30.5455 days.\n</reasoning>\nFinal Answer: 30.5455"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 + 46 * 41 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 46×41=1886, then 24+1886-45=1865.\n</reasoning>\nFinal Answer: 1865"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹3152. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3152 × 5/100 = 157.6. Total = 3152 + 157.6 = 3309.6.\n</reasoning>\nFinal Answer: 3309.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [3, 73, 16, 31, 84, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 277/6 = 46.1667.\n</reasoning>\nFinal Answer: 46.1667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:39 and A = 45, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/39, so B = A × (39/46) = 45 × 39/46 = 38.1522.\n</reasoning>\nFinal Answer: 38.1522"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 138 apples and buys 191 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 138 + 191 = 329.\n</reasoning>\nFinal Answer: 329"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "102 is what percentage of 470?"
},
{
"role": "assistant",
"content": "<reasoning>\n(102/470) × 100 = 21.7021%.\n</reasoning>\nFinal Answer: 21.7021%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:23 and A = 14, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/23, so B = A × (23/13) = 14 × 23/13 = 24.7692.\n</reasoning>\nFinal Answer: 24.7692"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 2 and common difference 2, find the 45th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 2 + (45-1)×2 = 2 + 88 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:37 and A = 47, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/37, so B = A × (37/48) = 47 × 37/48 = 36.2292.\n</reasoning>\nFinal Answer: 36.2292"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [66, 9, 44, 45, 60, 46, 1, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 66 - 1 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Ravi has 8 apples and buys 17 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 8 + 17 = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 320 ÷ 928"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 320 by 928. 320 ÷ 928 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -560 mod 899"
},
{
"role": "assistant",
"content": "<reasoning>\n-560 mod 899: -560 = 899 × -1 + 339, so remainder = 339.\n</reasoning>\nFinal Answer: 339"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 12 and common difference 8, find the 43th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 12 + (43-1)×8 = 12 + 336 = 348.\n</reasoning>\nFinal Answer: 348"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:18 and A = 80, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/18, so B = A × (18/41) = 80 × 18/41 = 35.122.\n</reasoning>\nFinal Answer: 35.122"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 2/16 - 15/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/16 - 15/12. LCD = 8. Result = -9/8.\n</reasoning>\nFinal Answer: -9/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 24 and common difference 12, find the 14th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 24 + (14-1)×12 = 24 + 156 = 180.\n</reasoning>\nFinal Answer: 180"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 8/14 * 6/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/14) × (6/15) = (48/210) = 8/35 after simplification.\n</reasoning>\nFinal Answer: 8/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:9 and A = 34, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/9, so B = A × (9/28) = 34 × 9/28 = 10.9286.\n</reasoning>\nFinal Answer: 10.9286"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 663 km apart. Their speeds are 63 km/h and 89 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 63+89=152 km/h. Time = 663/152 = 4.3618 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 994 + 888"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 994 and 888: 994 + 888 = 1882.\n</reasoning>\nFinal Answer: 1882"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -359 + 167"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -359 and 167: -359 + 167 = -192.\n</reasoning>\nFinal Answer: -192"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 4, 7, 13, 16, 18, 19] and B = [8, 10, 13, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [13, 18].\n</reasoning>\nFinal Answer: [13, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -39 = -39"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 7x = 0. Divide by 7: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹32031 at 5% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 32031 × 5 × 8 / 100 = 12812.4.\n</reasoning>\nFinal Answer: 12812.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 22, 28, and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 22 + 28 + 30 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mode of: [67, 77, 27, 83, 89, 61, 95, 31, 77, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {67: 1, 77: 2, 27: 1, 83: 1, 89: 1, 61: 1, 95: 1, 31: 1, 12: 1}. Most frequent: 77.\n</reasoning>\nFinal Answer: 77"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 44 = 234"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 19x = 190. Divide by 19: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -374 ÷ -645"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -374 by -645. -374 ÷ -645 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 554 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 50%: 554 × (1 + 50/100) = 554 × 1.5 = 831.0.\n</reasoning>\nFinal Answer: 831.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 5/8 / 20/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/8) ÷ (20/18) = (5/8) × (18/20) = 9/16.\n</reasoning>\nFinal Answer: 9/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [85, 16, 87, 77, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 16, 77, 85, 87]. Middle value(s) → median = 77.\n</reasoning>\nFinal Answer: 77"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-24)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -24² - 4×4×0 = 576. √discriminant = 24. x = (-(-24) ± 24) / (2×4). Solutions: x = 6 or x = 0.\n</reasoning>\nFinal Answer: x = 6 or x = 0"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 19 and 9."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(19,9) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 22 = 532"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 17x = 510. Divide by 17: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -48 = -592"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 16x = -544. Divide by 16: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 11/1 - 18/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/1 - 18/10. LCD = 5. Result = 46/5.\n</reasoning>\nFinal Answer: 46/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:1 and A = 81, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/1, so B = A × (1/22) = 81 × 1/22 = 3.6818.\n</reasoning>\nFinal Answer: 3.6818"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 25 mod 587"
},
{
"role": "assistant",
"content": "<reasoning>\n25 mod 587: 25 = 587 × 0 + 25, so remainder = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 423 ÷ 551"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 423 by 551. 423 ÷ 551 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 19/12 + 3/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/12 + 3/5. Common denominator = 60. Result = 131/60.\n</reasoning>\nFinal Answer: 131/60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -304 × 331"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -304 by 331: -304 × 331 = -100624.\n</reasoning>\nFinal Answer: -100624"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 28, 37 and height 41."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (28+37) × 41 = 1332.5.\n</reasoning>\nFinal Answer: 1332.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 670 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 670 × (1 + 40/100) = 670 × 1.4 = 938.0.\n</reasoning>\nFinal Answer: 938.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [30, 40, 50, 60, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 30 and common difference 10. Next term = 70 + 10 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 955 - -316"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -316 from 955: 955 - -316 = 1271.\n</reasoning>\nFinal Answer: 1271"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [97, 16, 11, 51, 17, 41, 65, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {97: 1, 16: 1, 11: 1, 51: 1, 17: 1, 41: 1, 65: 1, 33: 1}. Most frequent: [97, 16, 11, 51, 17, 41, 65, 33].\n</reasoning>\nFinal Answer: [97, 16,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "A train travels at 161 km/h. How far does it travel in 6 hours and 59 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 59/60 = 6.9833 hours. Distance = speed × time = 161 × 6.9833 = 1124.3167 km.\n</reasoning>\nFinal Answer: 1124.3167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -621 mod -442"
},
{
"role": "assistant",
"content": "<reasoning>\n-621 mod -442: -621 = -442 × 1 + -179, so remainder = -179.\n</reasoning>\nFinal Answer: -179"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:8 and A = 2, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/8, so B = A × (8/21) = 2 × 8/21 = 0.7619.\n</reasoning>\nFinal Answer: 0.7619"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 25 and width 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 25 × 4 = 100.\n</reasoning>\nFinal Answer: 100"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -30 = -87"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 19x = -57. Divide by 19: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 866 × 722"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 866 by 722: 866 × 722 = 625252.\n</reasoning>\nFinal Answer: 625252"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "570 is what percentage of 982?"
},
{
"role": "assistant",
"content": "<reasoning>\n(570/982) × 100 = 58.0448%.\n</reasoning>\nFinal Answer: 58.0448%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 195 mod 182"
},
{
"role": "assistant",
"content": "<reasoning>\n195 mod 182: 195 = 182 × 1 + 13, so remainder = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [17, 90, 31, 31, 42, 83, 79, 26, 6, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 17, 26, 31, 31, 42, 74, 79, 83, 90]. Middle value(s) → median = 36.5.\n</reasoning>\nFinal Answer: 36.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Increase 598 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 598 × (1 + 12/100) = 598 × 1.12 = 669.76.\n</reasoning>\nFinal Answer: 669.76"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 17/20 - 11/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/20 - 11/14. LCD = 140. Result = 9/140.\n</reasoning>\nFinal Answer: 9/140"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -43 mod -729"
},
{
"role": "assistant",
"content": "<reasoning>\n-43 mod -729: -43 = -729 × 0 + -43, so remainder = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "2 workers can complete a job in 12 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 2 × 12 = 24 worker-days. New time = 24 / 15 = 1.6 days.\n</reasoning>\nFinal Answer: 1.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 15 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 15 × 13 = 195.\n</reasoning>\nFinal Answer: 195"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 66 and height 68."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 66 × 68 = 4488.\n</reasoning>\nFinal Answer: 4488"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 7, 36 and height 18."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (7+36) × 18 = 387.0.\n</reasoning>\nFinal Answer: 387.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -42 = -441"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 21x = -399. Divide by 21: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 127 × -346"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 127 by -346: 127 × -346 = -43942.\n</reasoning>\nFinal Answer: -43942"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 21 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 21 × (1 - 75/100) = 21 × 0.25 = 5.25.\n</reasoning>\nFinal Answer: 5.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -353 mod 954"
},
{
"role": "assistant",
"content": "<reasoning>\n-353 mod 954: -353 = 954 × -1 + 601, so remainder = 601.\n</reasoning>\nFinal Answer: 601"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 45 = 643"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 23x = 598. Divide by 23: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [68, 89, 86, 96, 47, 11, 35, 42, 70, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 35, 42, 47, 54, 68, 70, 86, 89, 96]. Middle value(s) → median = 61.0.\n</reasoning>\nFinal Answer: 61.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Decrease 764 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 764 × (1 - 25/100) = 764 × 0.75 = 573.0.\n</reasoning>\nFinal Answer: 573.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 41 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 41 × 45 = 1845.\n</reasoning>\nFinal Answer: 1845"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 663 + -349"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 663 and -349: 663 + -349 = 314.\n</reasoning>\nFinal Answer: 314"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 133 - 730"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 730 from 133: 133 - 730 = -597.\n</reasoning>\nFinal Answer: -597"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -450 mod 980"
},
{
"role": "assistant",
"content": "<reasoning>\n-450 mod 980: -450 = 980 × -1 + 530, so remainder = 530.\n</reasoning>\nFinal Answer: 530"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/2 * 6/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/2) × (6/12) = (120/24) = 5 after simplification.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 15 apples and buys 100 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 15 + 100 = 115.\n</reasoning>\nFinal Answer: 115"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [80, 82, 12, 56, 87, 13, 92, 100, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {80: 1, 82: 1, 12: 1, 56: 1, 87: 1, 13: 1, 92: 1, 100: 1, 59: 1}. Most frequent: [80, 82, 12, 56, 87, 13, 92, 100, 59].\n</reasoning>\nFina... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -10 = 851"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 21x = 861. Divide by 21: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 828 - -231"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -231 from 828: 828 - -231 = 1059.\n</reasoning>\nFinal Answer: 1059"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 45 = 117"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 4x = 72. Divide by 4: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "661 is what percentage of 711?"
},
{
"role": "assistant",
"content": "<reasoning>\n(661/711) × 100 = 92.9677%.\n</reasoning>\nFinal Answer: 92.9677%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -145 mod -708"
},
{
"role": "assistant",
"content": "<reasoning>\n-145 mod -708: -145 = -708 × 0 + -145, so remainder = -145.\n</reasoning>\nFinal Answer: -145"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 8, 35, and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 8 + 35 + 39 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 13/2 * 20/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/2) × (20/20) = (260/40) = 13/2 after simplification.\n</reasoning>\nFinal Answer: 13/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 * 18 + 17 * 48"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 36×18=648 and 17×48=816, then add: 1464.\n</reasoning>\nFinal Answer: 1464"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -464 - 215"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 215 from -464: -464 - 215 = -679.\n</reasoning>\nFinal Answer: -679"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 51 km/h. How far does it travel in 6 hours and 42 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 42/60 = 6.7000 hours. Distance = speed × time = 51 × 6.7000 = 341.7 km.\n</reasoning>\nFinal Answer: 341.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-1)x + (-72) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -1² - 4×1×-72 = 289. √discriminant = 17. x = (-(-1) ± 17) / (2×1). Solutions: x = -8 or x = 9.\n</reasoning>\nFinal Answer: x = -8 or x = 9"
... | hard | [
"algebra",
"quadratic"
] |
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