messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -136 ÷ -599"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -136 by -599. -136 ÷ -599 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 40 = 64"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 3x = 24. Divide by 3: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 837 km apart. Their speeds are 93 km/h and 109 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 93+109=202 km/h. Time = 837/202 = 4.1436 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:44 and A = 82, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/44, so B = A × (44/7) = 82 × 44/7 = 515.4286.\n</reasoning>\nFinal Answer: 515.4286"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 3/11 * 12/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/11) × (12/20) = (36/220) = 9/55 after simplification.\n</reasoning>\nFinal Answer: 9/55"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -50 = 1075"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 25x = 1125. Divide by 25: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -74 × -52"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -74 by -52: -74 × -52 = 3848.\n</reasoning>\nFinal Answer: 3848"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/18 - 1/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/18 - 1/3. LCD = 9. Result = -1/9.\n</reasoning>\nFinal Answer: -1/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 81 and width 82."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(81+82) = 2×163 = 326.\n</reasoning>\nFinal Answer: 326"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 12 = -159"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 9x = -171. Divide by 9: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 740 mod -72"
},
{
"role": "assistant",
"content": "<reasoning>\n740 mod -72: 740 = -72 × -11 + -52, so remainder = -52.\n</reasoning>\nFinal Answer: -52"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 602 - -379"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -379 from 602: 602 - -379 = 981.\n</reasoning>\nFinal Answer: 981"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 386 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 386 × (1 - 20/100) = 386 × 0.8 = 308.8.\n</reasoning>\nFinal Answer: 308.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -64 ÷ -988"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -64 by -988. -64 ÷ -988 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 57 km/h. How far does it travel in 8 hours and 40 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 40/60 = 8.6667 hours. Distance = speed × time = 57 × 8.6667 = 494.0 km.\n</reasoning>\nFinal Answer: 494.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 6 and 13."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (6×13)/1 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -903 mod -378"
},
{
"role": "assistant",
"content": "<reasoning>\n-903 mod -378: -903 = -378 × 2 + -147, so remainder = -147.\n</reasoning>\nFinal Answer: -147"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 47 and common difference 17, find the 43th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 47 + (43-1)×17 = 47 + 714 = 761.\n</reasoning>\nFinal Answer: 761"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "What is 35% of 150?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 150 = (35/100) × 150 = 52.5.\n</reasoning>\nFinal Answer: 52.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 57 and height 70."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 57 × 70 = 1995.0.\n</reasoning>\nFinal Answer: 1995.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 377 + -502"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 377 and -502: 377 + -502 = -125.\n</reasoning>\nFinal Answer: -125"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -952 × 758"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -952 by 758: -952 × 758 = -721616.\n</reasoning>\nFinal Answer: -721616"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 910 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 910 × (1 - 75/100) = 910 × 0.25 = 227.5.\n</reasoning>\nFinal Answer: 227.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 998 + -112"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 998 and -112: 998 + -112 = 886.\n</reasoning>\nFinal Answer: 886"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 75% of 931?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 931 = (75/100) × 931 = 698.25.\n</reasoning>\nFinal Answer: 698.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:43 and A = 92, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/43, so B = A × (43/46) = 92 × 43/46 = 86.0.\n</reasoning>\nFinal Answer: 86.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [1, 13, 14, 16] and B = [3, 5, 7, 10, 11, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 5, 7, 10, 11, 13, 14, 16, 18].\n</reasoning>\nFinal Answer: [1, 3, 5, 7, 10, 11, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 454 mod 819"
},
{
"role": "assistant",
"content": "<reasoning>\n454 mod 819: 454 = 819 × 0 + 454, so remainder = 454.\n</reasoning>\nFinal Answer: 454"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-24)x + (64) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -24² - 4×2×64 = 64. √discriminant = 8. x = (-(-24) ± 8) / (2×2). Solutions: x = 4 or x = 8.\n</reasoning>\nFinal Answer: x = 4 or x = 8"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 451."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 451 by smallest primes repeatedly: 451 = 11 × 41.\n</reasoning>\nFinal Answer: 11 × 41"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Increase 697 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 697 × (1 + 10/100) = 697 × 1.1 = 766.7.\n</reasoning>\nFinal Answer: 766.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -16 = -604"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 14x = -588. Divide by 14: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [84, 63, 75, 25, 49, 36, 38, 19, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {84: 2, 63: 1, 75: 1, 25: 1, 49: 1, 36: 1, 38: 1, 19: 1}. Most frequent: 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹9721 at 6% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 9721 × 6 × 7 / 100 = 4082.82.\n</reasoning>\nFinal Answer: 4082.82"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹13722 at 11% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 13722 × 11 × 3 / 100 = 4528.26.\n</reasoning>\nFinal Answer: 4528.26"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 20/11 * 12/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/11) × (12/6) = (240/66) = 40/11 after simplification.\n</reasoning>\nFinal Answer: 40/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 189 apples and buys 61 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 189 + 61 = 250.\n</reasoning>\nFinal Answer: 250"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -521 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from -521: -521 - 29 = -550.\n</reasoning>\nFinal Answer: -550"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/13 * 19/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/13) × (19/17) = (285/221) = 285/221 after simplification.\n</reasoning>\nFinal Answer: 285/221"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 114 km/h. How far does it travel in 1 hours and 58 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 58/60 = 1.9667 hours. Distance = speed × time = 114 × 1.9667 = 224.2 km.\n</reasoning>\nFinal Answer: 224.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [77, 73, 65, 82, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 82 - 8 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:2 and A = 37, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/2, so B = A × (2/33) = 37 × 2/33 = 2.2424.\n</reasoning>\nFinal Answer: 2.2424"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 50 and width 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 50 × 50 = 2500.\n</reasoning>\nFinal Answer: 2500"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [38, 68, 25, 62, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 254/5 = 50.8.\n</reasoning>\nFinal Answer: 50.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Ravi has 126 apples and buys 95 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 126 + 95 = 221.\n</reasoning>\nFinal Answer: 221"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 22 and height 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 22 × 44 = 484.0.\n</reasoning>\nFinal Answer: 484.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 19 = 226"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 23x = 207. Divide by 23: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "359 is what percentage of 841?"
},
{
"role": "assistant",
"content": "<reasoning>\n(359/841) × 100 = 42.6873%.\n</reasoning>\nFinal Answer: 42.6873%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 14/14 * 11/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/14) × (11/5) = (154/70) = 11/5 after simplification.\n</reasoning>\nFinal Answer: 11/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 339 ÷ -644"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 339 by -644. 339 ÷ -644 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 62 + -754"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 62 and -754: 62 + -754 = -692.\n</reasoning>\nFinal Answer: -692"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/10 + 13/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/10 + 13/14. Common denominator = 70. Result = 36/35.\n</reasoning>\nFinal Answer: 36/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 38 = 134"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 8x = 96. Divide by 8: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 210 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 210 × (1 - 5/100) = 210 × 0.95 = 199.5.\n</reasoning>\nFinal Answer: 199.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 8 = 92"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 21x = 84. Divide by 21: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 20 and height 47."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 20 × 47 = 940.\n</reasoning>\nFinal Answer: 940"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [61, 67, 44, 56, 66, 34, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {61: 1, 67: 1, 44: 1, 56: 1, 66: 1, 34: 1, 82: 1}. Most frequent: [61, 67, 44, 56, 66, 34, 82].\n</reasoning>\nFinal Answer: [61, 67, 44, 56, 66, 34... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 41 and 16."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (41×16)/1 = 656.\n</reasoning>\nFinal Answer: 656"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Decrease 728 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 728 × (1 - 75/100) = 728 × 0.25 = 182.0.\n</reasoning>\nFinal Answer: 182.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -23 = -62"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 3x = -39. Divide by 3: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -16 = 1328"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 28x = 1344. Divide by 28: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 2/12 / 3/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/12) ÷ (3/4) = (2/12) × (4/3) = 2/9.\n</reasoning>\nFinal Answer: 2/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 78 km/h. How far does it travel in 3 hours and 23 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 23/60 = 3.3833 hours. Distance = speed × time = 78 × 3.3833 = 263.9 km.\n</reasoning>\nFinal Answer: 263.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 163 apples and buys 39 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 163 + 39 = 202.\n</reasoning>\nFinal Answer: 202"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 12 = -310"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 7x = -322. Divide by 7: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -19 = 323"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 19x = 342. Divide by 19: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 94 and width 87."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(94+87) = 2×181 = 362.\n</reasoning>\nFinal Answer: 362"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 11 ** 2 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 11²=121, then 33+121-25=129.\n</reasoning>\nFinal Answer: 129"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 22 and height 79."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 22 × 79 = 1738.\n</reasoning>\nFinal Answer: 1738"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 13, 19, and 24."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 13 + 19 + 24 = 56.\n</reasoning>\nFinal Answer: 56"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 25, 28 and height 30."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (25+28) × 30 = 795.0.\n</reasoning>\nFinal Answer: 795.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹37984 at 13% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 37984 × 13 × 4 / 100 = 19751.68.\n</reasoning>\nFinal Answer: 19751.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -87 × 15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -87 by 15: -87 × 15 = -1305.\n</reasoning>\nFinal Answer: -1305"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 188 and 42."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(188,42) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 84 and height 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 84 × 7 = 294.0.\n</reasoning>\nFinal Answer: 294.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -715 ÷ 738"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -715 by 738. -715 ÷ 738 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 29 ** 2 - 36"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 29²=841, then 11+841-36=816.\n</reasoning>\nFinal Answer: 816"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [91, 67, 97, 22, 71, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {91: 1, 67: 1, 97: 1, 22: 1, 71: 1, 25: 1}. Most frequent: [91, 67, 97, 22, 71, 25].\n</reasoning>\nFinal Answer: [91, 67, 97, 22, 71, 25]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 44, 32 and height 34."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (44+32) × 34 = 1292.0.\n</reasoning>\nFinal Answer: 1292.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -185 mod 431"
},
{
"role": "assistant",
"content": "<reasoning>\n-185 mod 431: -185 = 431 × -1 + 246, so remainder = 246.\n</reasoning>\nFinal Answer: 246"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [35, 34, 27, 46, 98, 24]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 264/6 = 44.0.\n</reasoning>\nFinal Answer: 44.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:20 and A = 97, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/20, so B = A × (20/21) = 97 × 20/21 = 92.381.\n</reasoning>\nFinal Answer: 92.381"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:38 and A = 98, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/38, so B = A × (38/45) = 98 × 38/45 = 82.7556.\n</reasoning>\nFinal Answer: 82.7556"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 194 apples and buys 69 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 194 + 69 = 263.\n</reasoning>\nFinal Answer: 263"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A bag has 6 red and 3 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 6/9 = 0.6667.\n</reasoning>\nFinal Answer: 0.6667"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:14 and A = 9, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/14, so B = A × (14/32) = 9 × 14/32 = 3.9375.\n</reasoning>\nFinal Answer: 3.9375"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 19 = 195"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 11x = 176. Divide by 11: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 41 and width 30."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(41+30) = 2×71 = 142.\n</reasoning>\nFinal Answer: 142"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:35 and A = 20, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/35, so B = A × (35/29) = 20 × 35/29 = 24.1379.\n</reasoning>\nFinal Answer: 24.1379"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 298 × -474"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 298 by -474: 298 × -474 = -141252.\n</reasoning>\nFinal Answer: -141252"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 3 and common difference 10, find the 26th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 3 + (26-1)×10 = 3 + 250 = 253.\n</reasoning>\nFinal Answer: 253"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 17/11 - 2/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/11 - 2/15. LCD = 165. Result = 233/165.\n</reasoning>\nFinal Answer: 233/165"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 16, 38, and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 16 + 38 + 40 = 94.\n</reasoning>\nFinal Answer: 94"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "629 is what percentage of 675?"
},
{
"role": "assistant",
"content": "<reasoning>\n(629/675) × 100 = 93.1852%.\n</reasoning>\nFinal Answer: 93.1852%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -871 mod 506"
},
{
"role": "assistant",
"content": "<reasoning>\n-871 mod 506: -871 = 506 × -2 + 141, so remainder = 141.\n</reasoning>\nFinal Answer: 141"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 68 and height 88."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 68 × 88 = 2992.0.\n</reasoning>\nFinal Answer: 2992.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "163 is what percentage of 360?"
},
{
"role": "assistant",
"content": "<reasoning>\n(163/360) × 100 = 45.2778%.\n</reasoning>\nFinal Answer: 45.2778%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 44 and 114."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(44,114) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 19 and 77."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(19,77) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 11 * 15 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 11×15=165, then 30+165-33=162.\n</reasoning>\nFinal Answer: 162"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
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