messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 3x + -48 = -174"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 3x = -126. Divide by 3: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [26, 58, 68, 80, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 306/5 = 61.2.\n</reasoning>\nFinal Answer: 61.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (23 + 8) * (2 - 40)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (23+8)=31, (2-40)=-38, then 31×-38=-1178.\n</reasoning>\nFinal Answer: -1178"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:50 and A = 24, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/50, so B = A × (50/27) = 24 × 50/27 = 44.4444.\n</reasoning>\nFinal Answer: 44.4444"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 2/14 - 9/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/14 - 9/10. LCD = 70. Result = -53/70.\n</reasoning>\nFinal Answer: -53/70"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 6, 8 and height 40."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (6+8) × 40 = 280.0.\n</reasoning>\nFinal Answer: 280.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-5)x + (-150) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -5² - 4×5×-150 = 3025. √discriminant = 55. x = (-(-5) ± 55) / (2×5). Solutions: x = -5 or x = 6.\n</reasoning>\nFinal Answer: x = -5 or x = 6"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹24135 at 9% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 24135 × 9 × 2 / 100 = 4344.3.\n</reasoning>\nFinal Answer: 4344.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -165 × -752"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -165 by -752: -165 × -752 = 124080.\n</reasoning>\nFinal Answer: 124080"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [3, 8, 9, 14, 17] and B = [1, 3, 12, 16, 18, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 8, 9, 12, 14, 16, 17, 18, 19].\n</reasoning>\nFin... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 47 and common difference 8, find the 41th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 47 + (41-1)×8 = 47 + 320 = 367.\n</reasoning>\nFinal Answer: 367"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 * 4 + 24 * 11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 28×4=112 and 24×11=264, then add: 376.\n</reasoning>\nFinal Answer: 376"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -881 ÷ 470"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -881 by 470. -881 ÷ 470 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 95 mod -957"
},
{
"role": "assistant",
"content": "<reasoning>\n95 mod -957: 95 = -957 × -1 + -862, so remainder = -862.\n</reasoning>\nFinal Answer: -862"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 41 and 8."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (41×8)/1 = 328.\n</reasoning>\nFinal Answer: 328"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 22 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 22 = 176 worker-days. New time = 176 / 8 = 22.0 days.\n</reasoning>\nFinal Answer: 22.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 5, 8, 9, 14, 16, 17] and B = [2, 10, 13], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 5, 8, 9, 14, 16, 17].\n</reasoning>\nFinal Answer: [4, 5, 8, 9, 14, 16, 17]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "34 is what percentage of 210?"
},
{
"role": "assistant",
"content": "<reasoning>\n(34/210) × 100 = 16.1905%.\n</reasoning>\nFinal Answer: 16.1905%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mean of: [47, 87, 22, 62, 72, 77, 45, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 438/8 = 54.75.\n</reasoning>\nFinal Answer: 54.75"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "286 is what percentage of 405?"
},
{
"role": "assistant",
"content": "<reasoning>\n(286/405) × 100 = 70.6173%.\n</reasoning>\nFinal Answer: 70.6173%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:29 and A = 79, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/29, so B = A × (29/6) = 79 × 29/6 = 381.8333.\n</reasoning>\nFinal Answer: 381.8333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [34, 82, 72, 39, 88, 99, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 34, 39, 72, 82, 88, 99]. Middle value(s) → median = 72.\n</reasoning>\nFinal Answer: 72"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (37 + 21) * (24 - 9)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (37+21)=58, (24-9)=15, then 58×15=870.\n</reasoning>\nFinal Answer: 870"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 27 and width 40."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 27 × 40 = 1080.\n</reasoning>\nFinal Answer: 1080"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 37 and width 99."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 37 × 99 = 3663.\n</reasoning>\nFinal Answer: 3663"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 525 - 74"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 74 from 525: 525 - 74 = 451.\n</reasoning>\nFinal Answer: 451"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 270 + -413"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 270 and -413: 270 + -413 = -143.\n</reasoning>\nFinal Answer: -143"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -417 mod 368"
},
{
"role": "assistant",
"content": "<reasoning>\n-417 mod 368: -417 = 368 × -2 + 319, so remainder = 319.\n</reasoning>\nFinal Answer: 319"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -35 = -171"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 4x = -136. Divide by 4: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 29 * 3 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 29×3=87, then 3+87-2=88.\n</reasoning>\nFinal Answer: 88"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [28, 91, 34, 92, 16, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 337/6 = 56.1667.\n</reasoning>\nFinal Answer: 56.1667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -3 = 795"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 19x = 798. Divide by 19: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [8, 10, 15, 16] and B = [2, 7, 9, 11, 12, 18, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 7, 8, 9, 10, 11, 12, 15, 16, 18, 19].\n</reasoni... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Decrease 495 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 495 × (1 - 80/100) = 495 × 0.19999999999999996 = 99.0.\n</reasoning>\nFinal Answer: 99.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-16)x + (32) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -16² - 4×2×32 = 0. √discriminant = 0. x = (-(-16) ± 0) / (2×2). Solutions: x = 4 (double root).\n</reasoning>\nFinal Answer: x = 4 (double root... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -75 - 470"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 470 from -75: -75 - 470 = -545.\n</reasoning>\nFinal Answer: -545"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 11, 15, 16] and B = [3, 7, 11, 12, 13, 15, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 4, 16].\n</reasoning>\nFinal Answer: [1, 4, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mode of: [94, 12, 4, 78, 67, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {94: 1, 12: 1, 4: 1, 78: 1, 67: 1, 50: 1}. Most frequent: [94, 12, 4, 78, 67, 50].\n</reasoning>\nFinal Answer: [94, 12, 4, 78, 67, 50]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the median of: [71, 55, 51, 55, 99, 47, 21, 34]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [21, 34, 47, 51, 55, 55, 71, 99]. Middle value(s) → median = 53.0.\n</reasoning>\nFinal Answer: 53.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -774 × 318"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -774 by 318: -774 × 318 = -246132.\n</reasoning>\nFinal Answer: -246132"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 85 - 329"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 329 from 85: 85 - 329 = -244.\n</reasoning>\nFinal Answer: -244"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 10/6 / 12/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/6) ÷ (12/4) = (10/6) × (4/12) = 5/9.\n</reasoning>\nFinal Answer: 5/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 926 ÷ -252"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 926 by -252. 926 ÷ -252 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 247 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 247 × (1 + 17/100) = 247 × 1.17 = 288.99.\n</reasoning>\nFinal Answer: 288.99"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 506 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 506 × (1 - 100/100) = 506 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 525 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 525 × (1 + 80/100) = 525 × 1.8 = 945.0.\n</reasoning>\nFinal Answer: 945.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 140 × 93"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 140 by 93: 140 × 93 = 13020.\n</reasoning>\nFinal Answer: 13020"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 6 and 7."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (6×7)/1 = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -48 = 16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 16x = 64. Divide by 16: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -25 = -53"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 14x = -28. Divide by 14: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (2)x + (-15) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 2² - 4×1×-15 = 64. √discriminant = 8. x = (-(2) ± 8) / (2×1). Solutions: x = 3 or x = -5.\n</reasoning>\nFinal Answer: x = 3 or x = -5"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 33 and common difference 10, find the 14th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 33 + (14-1)×10 = 33 + 130 = 163.\n</reasoning>\nFinal Answer: 163"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "An item costs ₹3262. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3262 × 28/100 = 913.36. Total = 3262 + 913.36 = 4175.36.\n</reasoning>\nFinal Answer: 4175.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 52 apples and buys 169 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 52 + 169 = 221.\n</reasoning>\nFinal Answer: 221"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 12 and height 59."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 12 × 59 = 354.0.\n</reasoning>\nFinal Answer: 354.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [37, 64, 24, 3, 90, 25, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 24, 25, 37, 64, 74, 90]. Middle value(s) → median = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 40 ** 2 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 40²=1600, then 45+1600-1=1644.\n</reasoning>\nFinal Answer: 1644"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 7 = -2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 1x = -9. Divide by 1: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 14/10 * 19/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/10) × (19/20) = (266/200) = 133/100 after simplification.\n</reasoning>\nFinal Answer: 133/100"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -822 - -322"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -322 from -822: -822 - -322 = -500.\n</reasoning>\nFinal Answer: -500"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 19/3 + 17/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/3 + 17/15. Common denominator = 15. Result = 112/15.\n</reasoning>\nFinal Answer: 112/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 42 and common difference 13, find the 13th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 42 + (13-1)×13 = 42 + 156 = 198.\n</reasoning>\nFinal Answer: 198"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -700 mod -443"
},
{
"role": "assistant",
"content": "<reasoning>\n-700 mod -443: -700 = -443 × 1 + -257, so remainder = -257.\n</reasoning>\nFinal Answer: -257"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 672 + 536"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 672 and 536: 672 + 536 = 1208.\n</reasoning>\nFinal Answer: 1208"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 40, 20 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (40+20) × 2 = 60.0.\n</reasoning>\nFinal Answer: 60.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 43 = 505"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 11x = 462. Divide by 11: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 * 4 + 28 * 12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 35×4=140 and 28×12=336, then add: 476.\n</reasoning>\nFinal Answer: 476"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [98, 63, 70, 74, 68, 20, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [20, 63, 68, 70, 74, 95, 98]. Middle value(s) → median = 70.\n</reasoning>\nFinal Answer: 70"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Decrease 426 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 426 × (1 - 60/100) = 426 × 0.4 = 170.4.\n</reasoning>\nFinal Answer: 170.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [29, 99, 8, 5, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 5, 8, 29, 99]. Middle value(s) → median = 8.\n</reasoning>\nFinal Answer: 8"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "What is 25% of 1?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 1 = (25/100) × 1 = 0.25.\n</reasoning>\nFinal Answer: 0.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 24, 25, and 25."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 24 + 25 + 25 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 4 and width 30."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(4+30) = 2×34 = 68.\n</reasoning>\nFinal Answer: 68"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 576 - 375"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 375 from 576: 576 - 375 = 201.\n</reasoning>\nFinal Answer: 201"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (7 + 32) * (41 - 20)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (7+32)=39, (41-20)=21, then 39×21=819.\n</reasoning>\nFinal Answer: 819"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 8 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 8 = 64 worker-days. New time = 64 / 2 = 32.0 days.\n</reasoning>\nFinal Answer: 32.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 78 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 78 × 37 = 2886.\n</reasoning>\nFinal Answer: 2886"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 33 and width 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 33 × 10 = 330.\n</reasoning>\nFinal Answer: 330"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 33 = -765"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 19x = -798. Divide by 19: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹2769. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2769 × 12/100 = 332.28. Total = 2769 + 332.28 = 3101.28.\n</reasoning>\nFinal Answer: 3101.28"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 513 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 513 × (1 + 3/100) = 513 × 1.03 = 528.39.\n</reasoning>\nFinal Answer: 528.39"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹3671. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3671 × 5/100 = 183.55. Total = 3671 + 183.55 = 3854.55.\n</reasoning>\nFinal Answer: 3854.55"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -23 ÷ -384"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -23 by -384. -23 ÷ -384 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 8/9 / 3/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/9) ÷ (3/7) = (8/9) × (7/3) = 56/27.\n</reasoning>\nFinal Answer: 56/27"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 + 29 ** 2 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 29²=841, then 50+841-43=848.\n</reasoning>\nFinal Answer: 848"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 * 25 + 34 * 37"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 20×25=500 and 34×37=1258, then add: 1758.\n</reasoning>\nFinal Answer: 1758"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 510 km apart. Their speeds are 83 km/h and 75 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 83+75=158 km/h. Time = 510/158 = 3.2278 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:40 and A = 56, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/40, so B = A × (40/1) = 56 × 40/1 = 2240.0.\n</reasoning>\nFinal Answer: 2240.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 852 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 852 × (1 - 65/100) = 852 × 0.35 = 298.2.\n</reasoning>\nFinal Answer: 298.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 1 = -37"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 1x = -38. Divide by 1: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (45 + 50) * (3 - 29)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (45+50)=95, (3-29)=-26, then 95×-26=-2470.\n</reasoning>\nFinal Answer: -2470"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 572 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 572 × (1 - 17/100) = 572 × 0.83 = 474.76.\n</reasoning>\nFinal Answer: 474.76"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 45 = 216"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 9x = 171. Divide by 9: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹34493 at 9% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 34493 × 9 × 9 / 100 = 27939.33.\n</reasoning>\nFinal Answer: 27939.33"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 468 × -473"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 468 by -473: 468 × -473 = -221364.\n</reasoning>\nFinal Answer: -221364"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -515 - 995"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 995 from -515: -515 - 995 = -1510.\n</reasoning>\nFinal Answer: -1510"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹651. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 651 × 18/100 = 117.18. Total = 651 + 117.18 = 768.18.\n</reasoning>\nFinal Answer: 768.18"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 12/10 - 1/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/10 - 1/18. LCD = 90. Result = 103/90.\n</reasoning>\nFinal Answer: 103/90"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [29, 44, 59, 74, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 29 and common difference 15. Next term = 89 + 15 = 104.\n</reasoning>\nFinal Answer: 104"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (35 + 29) * (20 - 27)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (35+29)=64, (20-27)=-7, then 64×-7=-448.\n</reasoning>\nFinal Answer: -448"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
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