messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the mode of: [25, 53, 23, 40, 23, 69, 24, 3, 81, 14]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {25: 1, 53: 1, 23: 2, 40: 1, 69: 1, 24: 1, 3: 1, 81: 1, 14: 1}. Most frequent: 23.\n</reasoning>\nFinal Answer: 23"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 30 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 30 = 210 worker-days. New time = 210 / 9 = 23.3333 days.\n</reasoning>\nFinal Answer: 23.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 204 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 204 × (1 + 90/100) = 204 × 1.9 = 387.6.\n</reasoning>\nFinal Answer: 387.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 35 = -849"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 26x = -884. Divide by 26: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 31 = 495"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 16x = 464. Divide by 16: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [73, 30, 43, 3, 6, 92, 46, 36, 86, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 6, 30, 36, 43, 46, 73, 77, 86, 92]. Middle value(s) → median = 44.5.\n</reasoning>\nFinal Answer: 44.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 9 and height 74."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 9 × 74 = 333.0.\n</reasoning>\nFinal Answer: 333.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -53 mod -705"
},
{
"role": "assistant",
"content": "<reasoning>\n-53 mod -705: -53 = -705 × 0 + -53, so remainder = -53.\n</reasoning>\nFinal Answer: -53"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 153 km apart. Their speeds are 114 km/h and 68 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 114+68=182 km/h. Time = 153/182 = 0.8407 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [85, 52, 17, 51, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 85 - 17 = 68.\n</reasoning>\nFinal Answer: 68"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -224 + 526"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -224 and 526: -224 + 526 = 302.\n</reasoning>\nFinal Answer: 302"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [65, 82, 44, 90, 33, 30, 27, 2, 41, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 90 - 2 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -45 = -415"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 10x = -370. Divide by 10: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹1034. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1034 × 5/100 = 51.7. Total = 1034 + 51.7 = 1085.7.\n</reasoning>\nFinal Answer: 1085.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:32 and A = 80, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/32, so B = A × (32/7) = 80 × 32/7 = 365.7143.\n</reasoning>\nFinal Answer: 365.7143"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 153 apples and buys 168 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 153 + 168 = 321.\n</reasoning>\nFinal Answer: 321"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -951 ÷ 811"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -951 by 811. -951 ÷ 811 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 * 5 + 21 * 8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 27×5=135 and 21×8=168, then add: 303.\n</reasoning>\nFinal Answer: 303"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 12/15 / 6/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/15) ÷ (6/3) = (12/15) × (3/6) = 2/5.\n</reasoning>\nFinal Answer: 2/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:14 and A = 33, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/14, so B = A × (14/16) = 33 × 14/16 = 28.875.\n</reasoning>\nFinal Answer: 28.875"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 19 ** 2 - 36"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 19²=361, then 36+361-36=361.\n</reasoning>\nFinal Answer: 361"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 921 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 921 × (1 + 35/100) = 921 × 1.35 = 1243.35.\n</reasoning>\nFinal Answer: 1243.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [83, 76, 45, 46, 75, 88, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 88 - 13 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -45 = 119"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 4x = 164. Divide by 4: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [20, 55, 23, 82, 30, 76, 67, 82, 34, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [20, 23, 30, 34, 55, 64, 67, 76, 82, 82]. Middle value(s) → median = 59.5.\n</reasoning>\nFinal Answer: 59.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 78 and width 16."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(78+16) = 2×94 = 188.\n</reasoning>\nFinal Answer: 188"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 41 = 61"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 1x = 20. Divide by 1: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 6/16 / 12/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/16) ÷ (12/6) = (6/16) × (6/12) = 3/16.\n</reasoning>\nFinal Answer: 3/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 10] and B = [3, 6, 7, 12, 15, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 5, 6, 7, 10, 12, 15, 19].\n</reasoning>\nFinal Answer: [3, 5, 6, 7, 10, 12, 15, 19]"
}
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -627 - -750"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -750 from -627: -627 - -750 = 123.\n</reasoning>\nFinal Answer: 123"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 38 and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (38×30)/2 = 570.\n</reasoning>\nFinal Answer: 570"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -1 = -375"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 22x = -374. Divide by 22: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 19 * 36 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 19×36=684, then 12+684-46=650.\n</reasoning>\nFinal Answer: 650"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "245 is what percentage of 699?"
},
{
"role": "assistant",
"content": "<reasoning>\n(245/699) × 100 = 35.0501%.\n</reasoning>\nFinal Answer: 35.0501%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:5 and A = 26, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/5, so B = A × (5/25) = 26 × 5/25 = 5.2.\n</reasoning>\nFinal Answer: 5.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 77 and height 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 77 × 17 = 1309.\n</reasoning>\nFinal Answer: 1309"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 775 + 2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 775 and 2: 775 + 2 = 777.\n</reasoning>\nFinal Answer: 777"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 970 ÷ 319"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 970 by 319. 970 ÷ 319 = 3 (integer division).\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 793 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 793 × (1 - 100/100) = 793 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (6 + 3) * (21 - 11)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (6+3)=9, (21-11)=10, then 9×10=90.\n</reasoning>\nFinal Answer: 90"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 2 ** 2 - 13"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 2²=4, then 47+4-13=38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a circle with radius 29. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nArea = π × r² = π × 29² = π × 841 ≈ 2642.0794.\n</reasoning>\nFinal Answer: 2642.0794"
}
] | medium | [
"geometry",
"area",
"circle"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:50 and A = 14, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/50, so B = A × (50/32) = 14 × 50/32 = 21.875.\n</reasoning>\nFinal Answer: 21.875"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 5 * 43 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 5×43=215, then 25+215-15=225.\n</reasoning>\nFinal Answer: 225"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 62 and height 52."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 62 × 52 = 3224.\n</reasoning>\nFinal Answer: 3224"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (15 + 22) * (18 - 7)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (15+22)=37, (18-7)=11, then 37×11=407.\n</reasoning>\nFinal Answer: 407"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 123 km/h. How far does it travel in 1 hours and 20 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 20/60 = 1.3333 hours. Distance = speed × time = 123 × 1.3333 = 164.0 km.\n</reasoning>\nFinal Answer: 164.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -517 mod -520"
},
{
"role": "assistant",
"content": "<reasoning>\n-517 mod -520: -517 = -520 × 0 + -517, so remainder = -517.\n</reasoning>\nFinal Answer: -517"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [30, 12, 56, 18, 5, 83, 63, 73, 71, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {30: 1, 12: 1, 56: 1, 18: 1, 5: 1, 83: 1, 63: 1, 73: 1, 71: 1, 94: 1}. Most frequent: [30, 12, 56, 18, 5, 83, 63, 73, 71, 94].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 725 + 393"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 725 and 393: 725 + 393 = 1118.\n</reasoning>\nFinal Answer: 1118"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 96 and width 98."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(96+98) = 2×194 = 388.\n</reasoning>\nFinal Answer: 388"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -45 = -357"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 13x = -312. Divide by 13: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 26 and common difference 7, find the 18th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 26 + (18-1)×7 = 26 + 119 = 145.\n</reasoning>\nFinal Answer: 145"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:45 and A = 8, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/45, so B = A × (45/7) = 8 × 45/7 = 51.4286.\n</reasoning>\nFinal Answer: 51.4286"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 774 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 774 × (1 - 7/100) = 774 × 0.9299999999999999 = 719.82.\n</reasoning>\nFinal Answer: 719.82"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 117 + 113"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 117 and 113: 117 + 113 = 230.\n</reasoning>\nFinal Answer: 230"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 517 ÷ 688"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 517 by 688. 517 ÷ 688 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 * 42 + 34 * 18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 22×42=924 and 34×18=612, then add: 1536.\n</reasoning>\nFinal Answer: 1536"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 199 km/h. How far does it travel in 4 hours and 21 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 21/60 = 4.3500 hours. Distance = speed × time = 199 × 4.3500 = 865.65 km.\n</reasoning>\nFinal Answer: 865.65"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 8 = 392"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 16x = 384. Divide by 16: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 5 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 5 = 90 worker-days. New time = 90 / 8 = 11.25 days.\n</reasoning>\nFinal Answer: 11.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 3% of 469?"
},
{
"role": "assistant",
"content": "<reasoning>\n3% of 469 = (3/100) × 469 = 14.07.\n</reasoning>\nFinal Answer: 14.07"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -15 + 262"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -15 and 262: -15 + 262 = 247.\n</reasoning>\nFinal Answer: 247"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -997 ÷ 87"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -997 by 87. -997 ÷ 87 = -12 (integer division).\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 10/7 * 1/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/7) × (1/12) = (10/84) = 5/42 after simplification.\n</reasoning>\nFinal Answer: 5/42"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [65, 77, 39, 85, 90, 29, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 90 - 29 = 61.\n</reasoning>\nFinal Answer: 61"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 * 11 + 10 * 13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 33×11=363 and 10×13=130, then add: 493.\n</reasoning>\nFinal Answer: 493"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 27 and width 68."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(27+68) = 2×95 = 190.\n</reasoning>\nFinal Answer: 190"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 * 36 + 8 * 39"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 3×36=108 and 8×39=312, then add: 420.\n</reasoning>\nFinal Answer: 420"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 866 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 866 × (1 - 40/100) = 866 × 0.6 = 519.6.\n</reasoning>\nFinal Answer: 519.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "438 is what percentage of 829?"
},
{
"role": "assistant",
"content": "<reasoning>\n(438/829) × 100 = 52.8347%.\n</reasoning>\nFinal Answer: 52.8347%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 30 and 7."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (30×7)/1 = 210.\n</reasoning>\nFinal Answer: 210"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 5 = 440"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 29x = 435. Divide by 29: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 950 × 551"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 950 by 551: 950 × 551 = 523450.\n</reasoning>\nFinal Answer: 523450"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 25 and width 20."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 25 × 20 = 500.\n</reasoning>\nFinal Answer: 500"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [100, 64, 6, 32, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 245/5 = 49.0.\n</reasoning>\nFinal Answer: 49.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Increase 854 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 854 × (1 + 90/100) = 854 × 1.9 = 1622.6.\n</reasoning>\nFinal Answer: 1622.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -47 = -443"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 11x = -396. Divide by 11: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹2253. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2253 × 18/100 = 405.54. Total = 2253 + 405.54 = 2658.54.\n</reasoning>\nFinal Answer: 2658.54"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 46 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 46 × 13 = 299.0.\n</reasoning>\nFinal Answer: 299.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 3 and height 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 3 × 7 = 10.5.\n</reasoning>\nFinal Answer: 10.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 193 mod -131"
},
{
"role": "assistant",
"content": "<reasoning>\n193 mod -131: 193 = -131 × -2 + -69, so remainder = -69.\n</reasoning>\nFinal Answer: -69"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (1 + 18) * (31 - 9)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (1+18)=19, (31-9)=22, then 19×22=418.\n</reasoning>\nFinal Answer: 418"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [2, 6, 7, 10, 16, 17] and B = [3, 6, 10, 13, 14, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 7, 16].\n</reasoning>\nFinal Answer: [2, 7, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -40 = -243"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 29x = -203. Divide by 29: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 15/15 + 2/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/15 + 2/1. Common denominator = 1. Result = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 175 km/h. How far does it travel in 1 hours and 41 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 41/60 = 1.6833 hours. Distance = speed × time = 175 × 1.6833 = 294.5833 km.\n</reasoning>\nFinal Answer: 294.5833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 17 and width 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(17+37) = 2×54 = 108.\n</reasoning>\nFinal Answer: 108"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -445 - -275"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -275 from -445: -445 - -275 = -170.\n</reasoning>\nFinal Answer: -170"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [38, 36, 23, 38, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 219/5 = 43.8.\n</reasoning>\nFinal Answer: 43.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Increase 944 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 20%: 944 × (1 + 20/100) = 944 × 1.2 = 1132.8.\n</reasoning>\nFinal Answer: 1132.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 545 + 434"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 545 and 434: 545 + 434 = 979.\n</reasoning>\nFinal Answer: 979"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -47 = 63"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 22x = 110. Divide by 22: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 5 = -16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 3x = -21. Divide by 3: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 35 = -765"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 20x = -800. Divide by 20: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -13 = -29"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 2x = -16. Divide by 2: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -533 × 142"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -533 by 142: -533 × 142 = -75686.\n</reasoning>\nFinal Answer: -75686"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 861 ÷ -854"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 861 by -854. 861 ÷ -854 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 29 and 4."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (29×4)/1 = 116.\n</reasoning>\nFinal Answer: 116"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "What is 90% of 878?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 878 = (90/100) × 878 = 790.2.\n</reasoning>\nFinal Answer: 790.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.