messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 7x + -24 = -10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 7x = 14. Divide by 7: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 + 30 * 45 - 49"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 30×45=1350, then 20+1350-49=1321.\n</reasoning>\nFinal Answer: 1321"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 30 and width 83."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 30 × 83 = 2490.\n</reasoning>\nFinal Answer: 2490"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 43 = 1011"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 22x = 968. Divide by 22: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [79, 25, 54, 18, 4, 81, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 18, 25, 54, 79, 81, 95]. Middle value(s) → median = 54.\n</reasoning>\nFinal Answer: 54"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate: 6^4"
},
{
"role": "assistant",
"content": "<reasoning>\n6^4 = 6 × 6 × 6 × 6 = 1296.\n</reasoning>\nFinal Answer: 1296"
}
] | easy | [
"exponents"
] |
[
{
"role": "user",
"content": "2 workers can complete a job in 18 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 2 × 18 = 36 worker-days. New time = 36 / 2 = 18.0 days.\n</reasoning>\nFinal Answer: 18.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -862 ÷ -574"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -862 by -574. -862 ÷ -574 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 18 ** 2 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 18²=324, then 17+324-22=319.\n</reasoning>\nFinal Answer: 319"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [9, 11, 19] and B = [1, 5, 7, 12, 14, 16, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 5, 7, 9, 11, 12, 14, 16].\n</reasoning>\nFinal Answe... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 9/17 * 2/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/17) × (2/4) = (18/68) = 9/34 after simplification.\n</reasoning>\nFinal Answer: 9/34"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 35 = 122"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 3x = 87. Divide by 3: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -28 = -903"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 25x = -875. Divide by 25: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -6 = -890"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 26x = -884. Divide by 26: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 649 × -925"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 649 by -925: 649 × -925 = -600325.\n</reasoning>\nFinal Answer: -600325"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 1 = 247"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 6x = 246. Divide by 6: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 26 apples and buys 190 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 26 + 190 = 216.\n</reasoning>\nFinal Answer: 216"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 43 * 23 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 43×23=989, then 16+989-40=965.\n</reasoning>\nFinal Answer: 965"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 * 21 + 23 * 20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 42×21=882 and 23×20=460, then add: 1342.\n</reasoning>\nFinal Answer: 1342"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 611 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 611 × (1 - 65/100) = 611 × 0.35 = 213.85.\n</reasoning>\nFinal Answer: 213.85"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 860 × 303"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 860 by 303: 860 × 303 = 260580.\n</reasoning>\nFinal Answer: 260580"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -284 mod 711"
},
{
"role": "assistant",
"content": "<reasoning>\n-284 mod 711: -284 = 711 × -1 + 427, so remainder = 427.\n</reasoning>\nFinal Answer: 427"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 669 km apart. Their speeds are 65 km/h and 100 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 65+100=165 km/h. Time = 669/165 = 4.0545 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 49 and width 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 49 × 25 = 1225.\n</reasoning>\nFinal Answer: 1225"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [46, 56, 25, 4, 16, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {46: 1, 56: 1, 25: 1, 4: 1, 16: 1, 82: 1}. Most frequent: [46, 56, 25, 4, 16, 82].\n</reasoning>\nFinal Answer: [46, 56, 25, 4, 16, 82]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -25 = 375"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 25x = 400. Divide by 25: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [76, 43, 43, 80, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {76: 1, 43: 2, 80: 1, 71: 1}. Most frequent: 43.\n</reasoning>\nFinal Answer: 43"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -16 = 608"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 24x = 624. Divide by 24: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [16, 36, 89, 24, 79, 69, 66, 18, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 479/9 = 53.2222.\n</reasoning>\nFinal Answer: 53.2222"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 174 + 581"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 174 and 581: 174 + 581 = 755.\n</reasoning>\nFinal Answer: 755"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 43 and 16."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (43×16)/1 = 688.\n</reasoning>\nFinal Answer: 688"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 8 = 261"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 23x = 253. Divide by 23: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 8, 9, 10, 12, 14] and B = [1, 3, 5, 6, 15, 17, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [3, 5].\n</reasoning>\nFinal Answer: [3, 5]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 36 and height 30."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 36 × 30 = 540.0.\n</reasoning>\nFinal Answer: 540.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 83 and height 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 83 × 36 = 1494.0.\n</reasoning>\nFinal Answer: 1494.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 24 and width 84."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(24+84) = 2×108 = 216.\n</reasoning>\nFinal Answer: 216"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 31 = 11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 5x = -20. Divide by 5: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 1/20 / 15/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/20) ÷ (15/16) = (1/20) × (16/15) = 4/75.\n</reasoning>\nFinal Answer: 4/75"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 21 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 21 × (1 - 65/100) = 21 × 0.35 = 7.35.\n</reasoning>\nFinal Answer: 7.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 22 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 22 = 154 worker-days. New time = 154 / 13 = 11.8462 days.\n</reasoning>\nFinal Answer: 11.8462"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -30 = -324"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 21x = -294. Divide by 21: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 14 = -58"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 18x = -72. Divide by 18: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [28, 55, 40, 52, 92, 24, 15, 9, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {28: 1, 55: 1, 40: 1, 52: 1, 92: 1, 24: 1, 15: 1, 9: 1, 84: 1}. Most frequent: [28, 55, 40, 52, 92, 24, 15, 9, 84].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "581 is what percentage of 581?"
},
{
"role": "assistant",
"content": "<reasoning>\n(581/581) × 100 = 100.0%.\n</reasoning>\nFinal Answer: 100.0%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [37, 54, 71, 88, 105]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 37 and common difference 17. Next term = 105 + 17 = 122.\n</reasoning>\nFinal Answer: 122"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Ravi has 11 apples and buys 131 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 11 + 131 = 142.\n</reasoning>\nFinal Answer: 142"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 9 and height 43."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 9 × 43 = 193.5.\n</reasoning>\nFinal Answer: 193.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 43, 5 and height 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (43+5) × 17 = 408.0.\n</reasoning>\nFinal Answer: 408.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 68 and width 78."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(68+78) = 2×146 = 292.\n</reasoning>\nFinal Answer: 292"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Increase 55 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 50%: 55 × (1 + 50/100) = 55 × 1.5 = 82.5.\n</reasoning>\nFinal Answer: 82.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 * 27 + 49 * 8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 20×27=540 and 49×8=392, then add: 932.\n</reasoning>\nFinal Answer: 932"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 12/20 - 1/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/20 - 1/3. LCD = 15. Result = 4/15.\n</reasoning>\nFinal Answer: 4/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 13 = -102"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 23x = -115. Divide by 23: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 11 - -728"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -728 from 11: 11 - -728 = 739.\n</reasoning>\nFinal Answer: 739"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -50 ÷ -568"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -50 by -568. -50 ÷ -568 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 5 * 11 - 8"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 5×11=55, then 23+55-8=70.\n</reasoning>\nFinal Answer: 70"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (70)x + (245) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 70² - 4×5×245 = 0. √discriminant = 0. x = (-(70) ± 0) / (2×5). Solutions: x = -7 (double root).\n</reasoning>\nFinal Answer: x = -7 (double roo... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a circle with radius 46. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nArea = π × r² = π × 46² = π × 2116 ≈ 6647.6101.\n</reasoning>\nFinal Answer: 6647.6101"
}
] | medium | [
"geometry",
"area",
"circle"
] |
[
{
"role": "user",
"content": "Simplify: 9/3 - 1/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/3 - 1/20. LCD = 20. Result = 59/20.\n</reasoning>\nFinal Answer: 59/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 75 × -775"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 75 by -775: 75 × -775 = -58125.\n</reasoning>\nFinal Answer: -58125"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [47, 3, 74, 94, 15, 18, 92, 71, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 3 = 97.\n</reasoning>\nFinal Answer: 97"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 17/1 / 12/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/1) ÷ (12/18) = (17/1) × (18/12) = 51/2.\n</reasoning>\nFinal Answer: 51/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -21 = -183"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 9x = -162. Divide by 9: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -507 mod -385"
},
{
"role": "assistant",
"content": "<reasoning>\n-507 mod -385: -507 = -385 × 1 + -122, so remainder = -122.\n</reasoning>\nFinal Answer: -122"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 32 and 4."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (32×4)/4 = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -204 mod 908"
},
{
"role": "assistant",
"content": "<reasoning>\n-204 mod 908: -204 = 908 × -1 + 704, so remainder = 704.\n</reasoning>\nFinal Answer: 704"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -19 = -1119"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 22x = -1100. Divide by 22: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 41 ** 2 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 41²=1681, then 48+1681-46=1683.\n</reasoning>\nFinal Answer: 1683"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 1/8 - 12/11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/8 - 12/11. LCD = 88. Result = -85/88.\n</reasoning>\nFinal Answer: -85/88"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [19, 40, 12, 15, 10, 87, 70, 69, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 12, 15, 19, 40, 69, 70, 79, 87]. Middle value(s) → median = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the mode of: [13, 99, 20, 6, 100, 17, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {13: 1, 99: 1, 20: 1, 6: 1, 100: 1, 17: 1, 12: 1}. Most frequent: [13, 99, 20, 6, 100, 17, 12].\n</reasoning>\nFinal Answer: [13, 99, 20, 6, 100, 17... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 41 = -70"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 3x = -111. Divide by 3: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [62, 18, 72, 7, 34, 7, 55, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 82 - 7 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -148 × -889"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -148 by -889: -148 × -889 = 131572.\n</reasoning>\nFinal Answer: 131572"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (37 + 46) * (46 - 17)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (37+46)=83, (46-17)=29, then 83×29=2407.\n</reasoning>\nFinal Answer: 2407"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 12, 13, 14] and B = [1, 6, 7, 14, 16, 17, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [3, 12, 13].\n</reasoning>\nFinal Answer: [3, 12, 13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 15 and common difference 4, find the 15th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 15 + (15-1)×4 = 15 + 56 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 * 14 + 24 * 12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 44×14=616 and 24×12=288, then add: 904.\n</reasoning>\nFinal Answer: 904"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:33 and A = 12, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/33, so B = A × (33/20) = 12 × 33/20 = 19.8.\n</reasoning>\nFinal Answer: 19.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 67 and width 15."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(67+15) = 2×82 = 164.\n</reasoning>\nFinal Answer: 164"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 7/7 - 14/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/7 - 14/5. LCD = 5. Result = -9/5.\n</reasoning>\nFinal Answer: -9/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [53, 60, 36, 76, 47, 6, 95, 77, 9]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 6 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mode of: [47, 60, 74, 1, 46, 71, 66, 12, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {47: 1, 60: 1, 74: 1, 1: 1, 46: 1, 71: 1, 66: 1, 12: 1, 32: 1}. Most frequent: [47, 60, 74, 1, 46, 71, 66, 12, 32].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "794 is what percentage of 908?"
},
{
"role": "assistant",
"content": "<reasoning>\n(794/908) × 100 = 87.4449%.\n</reasoning>\nFinal Answer: 87.4449%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -109 - 93"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 93 from -109: -109 - 93 = -202.\n</reasoning>\nFinal Answer: -202"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -38 = -1038"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 20x = -1000. Divide by 20: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 862 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 862 × (1 - 12/100) = 862 × 0.88 = 758.56.\n</reasoning>\nFinal Answer: 758.56"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "2 is what percentage of 263?"
},
{
"role": "assistant",
"content": "<reasoning>\n(2/263) × 100 = 0.7605%.\n</reasoning>\nFinal Answer: 0.7605%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 33 = -16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 1x = -49. Divide by 1: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [20, 58, 72, 38, 43, 28, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [20, 28, 38, 43, 58, 72, 84]. Middle value(s) → median = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:46 and A = 87, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/46, so B = A × (46/13) = 87 × 46/13 = 307.8462.\n</reasoning>\nFinal Answer: 307.8462"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 5/18 - 3/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/18 - 3/15. LCD = 90. Result = 7/90.\n</reasoning>\nFinal Answer: 7/90"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 81 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 81 × 13 = 526.5.\n</reasoning>\nFinal Answer: 526.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 474 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 474 × (1 + 65/100) = 474 × 1.65 = 782.1.\n</reasoning>\nFinal Answer: 782.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -783 + -95"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -783 and -95: -783 + -95 = -878.\n</reasoning>\nFinal Answer: -878"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 6, 10, 11, 16, 19] and B = [6, 11, 17, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [6, 11, 19].\n</reasoning>\nFinal Answer: [6, 11, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 74 and width 65."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(74+65) = 2×139 = 278.\n</reasoning>\nFinal Answer: 278"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "What is 5% of 813?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 813 = (5/100) × 813 = 40.65.\n</reasoning>\nFinal Answer: 40.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [10, 11, 13] and B = [5, 8, 14], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [].\n</reasoning>\nFinal Answer: []"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -37 = 1003"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 26x = 1040. Divide by 26: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
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