messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -113 - 312"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 312 from -113: -113 - 312 = -425.\n</reasoning>\nFinal Answer: -425"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 958 + 62"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 958 and 62: 958 + 62 = 1020.\n</reasoning>\nFinal Answer: 1020"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 162 apples and buys 9 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 162 + 9 = 171.\n</reasoning>\nFinal Answer: 171"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 88 - -638"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -638 from 88: 88 - -638 = 726.\n</reasoning>\nFinal Answer: 726"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 517 ÷ -997"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 517 by -997. 517 ÷ -997 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 724 km apart. Their speeds are 70 km/h and 63 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 70+63=133 km/h. Time = 724/133 = 5.4436 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 160 and 7."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(160,7) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 359 mod -570"
},
{
"role": "assistant",
"content": "<reasoning>\n359 mod -570: 359 = -570 × -1 + -211, so remainder = -211.\n</reasoning>\nFinal Answer: -211"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [25, 8, 82, 6, 76, 99, 65, 61, 76, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 6 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 10/1 + 19/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/1 + 19/11. Common denominator = 11. Result = 129/11.\n</reasoning>\nFinal Answer: 129/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-4)x + (-288) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -4² - 4×4×-288 = 4624. √discriminant = 68. x = (-(-4) ± 68) / (2×4). Solutions: x = 9 or x = -8.\n</reasoning>\nFinal Answer: x = 9 or x = -8"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 16/17 * 10/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/17) × (10/2) = (160/34) = 80/17 after simplification.\n</reasoning>\nFinal Answer: 80/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -376 × 825"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -376 by 825: -376 × 825 = -310200.\n</reasoning>\nFinal Answer: -310200"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹34240 at 3% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 34240 × 3 × 4 / 100 = 4108.8.\n</reasoning>\nFinal Answer: 4108.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 62 and 100."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(62,100) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 605 × 49"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 605 by 49: 605 × 49 = 29645.\n</reasoning>\nFinal Answer: 29645"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -237 mod -200"
},
{
"role": "assistant",
"content": "<reasoning>\n-237 mod -200: -237 = -200 × 1 + -37, so remainder = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/8 + 2/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/8 + 2/10. Common denominator = 40. Result = 93/40.\n</reasoning>\nFinal Answer: 93/40"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 340 + 968"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 340 and 968: 340 + 968 = 1308.\n</reasoning>\nFinal Answer: 1308"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 506 ÷ -988"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 506 by -988. 506 ÷ -988 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 25 = 1014"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 23x = 989. Divide by 23: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "214 is what percentage of 488?"
},
{
"role": "assistant",
"content": "<reasoning>\n(214/488) × 100 = 43.8525%.\n</reasoning>\nFinal Answer: 43.8525%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 16 = 1379"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 29x = 1363. Divide by 29: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 * 4 + 33 * 24"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 19×4=76 and 33×24=792, then add: 868.\n</reasoning>\nFinal Answer: 868"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 37 = 277"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 16x = 240. Divide by 16: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 * 27 + 22 * 19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 13×27=351 and 22×19=418, then add: 769.\n</reasoning>\nFinal Answer: 769"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 44 apples and buys 139 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 44 + 139 = 183.\n</reasoning>\nFinal Answer: 183"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 199 and 107."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(199,107) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 898 - 965"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 965 from 898: 898 - 965 = -67.\n</reasoning>\nFinal Answer: -67"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 2 and common difference 10, find the 45th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 2 + (45-1)×10 = 2 + 440 = 442.\n</reasoning>\nFinal Answer: 442"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 41 and common difference 5, find the 42th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 41 + (42-1)×5 = 41 + 205 = 246.\n</reasoning>\nFinal Answer: 246"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 6 mod -148"
},
{
"role": "assistant",
"content": "<reasoning>\n6 mod -148: 6 = -148 × -1 + -142, so remainder = -142.\n</reasoning>\nFinal Answer: -142"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 * 46 + 22 * 25"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 6×46=276 and 22×25=550, then add: 826.\n</reasoning>\nFinal Answer: 826"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 517 mod -645"
},
{
"role": "assistant",
"content": "<reasoning>\n517 mod -645: 517 = -645 × -1 + -128, so remainder = -128.\n</reasoning>\nFinal Answer: -128"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -553 ÷ 459"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -553 by 459. -553 ÷ 459 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -809 × -764"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -809 by -764: -809 × -764 = 618076.\n</reasoning>\nFinal Answer: 618076"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -45 = 585"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 14x = 630. Divide by 14: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 3/13 - 10/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/13 - 10/3. LCD = 39. Result = -121/39.\n</reasoning>\nFinal Answer: -121/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 * 32 + 20 * 47"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 47×32=1504 and 20×47=940, then add: 2444.\n</reasoning>\nFinal Answer: 2444"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -41 = 283"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 18x = 324. Divide by 18: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 * 6 + 49 * 43"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 20×6=120 and 49×43=2107, then add: 2227.\n</reasoning>\nFinal Answer: 2227"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 43 * 5 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 43×5=215, then 23+215-27=211.\n</reasoning>\nFinal Answer: 211"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:42 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/42, so B = A × (42/14) = 27 × 42/14 = 81.0.\n</reasoning>\nFinal Answer: 81.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -1 = 527"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 16x = 528. Divide by 16: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -796 × 417"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -796 by 417: -796 × 417 = -331932.\n</reasoning>\nFinal Answer: -331932"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 32, 4 and height 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (32+4) × 38 = 684.0.\n</reasoning>\nFinal Answer: 684.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (1)x + (-6) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 1² - 4×1×-6 = 25. √discriminant = 5. x = (-(1) ± 5) / (2×1). Solutions: x = -3 or x = 2.\n</reasoning>\nFinal Answer: x = -3 or x = 2"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 40 * 39 - 21"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 40×39=1560, then 15+1560-21=1554.\n</reasoning>\nFinal Answer: 1554"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 672 × 180"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 672 by 180: 672 × 180 = 120960.\n</reasoning>\nFinal Answer: 120960"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -312 + 377"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -312 and 377: -312 + 377 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 2 and width 5."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(2+5) = 2×7 = 14.\n</reasoning>\nFinal Answer: 14"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -616 × 621"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -616 by 621: -616 × 621 = -382536.\n</reasoning>\nFinal Answer: -382536"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 3% of 55?"
},
{
"role": "assistant",
"content": "<reasoning>\n3% of 55 = (3/100) × 55 = 1.65.\n</reasoning>\nFinal Answer: 1.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹4866. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4866 × 18/100 = 875.88. Total = 4866 + 875.88 = 5741.88.\n</reasoning>\nFinal Answer: 5741.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 36 and height 97."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 36 × 97 = 3492.\n</reasoning>\nFinal Answer: 3492"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 14/13 * 4/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/13) × (4/19) = (56/247) = 56/247 after simplification.\n</reasoning>\nFinal Answer: 56/247"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 41 and 108."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(41,108) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 22 * 49 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 22×49=1078, then 12+1078-9=1081.\n</reasoning>\nFinal Answer: 1081"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -45 = -645"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 12x = -600. Divide by 12: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -98 + -867"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -98 and -867: -98 + -867 = -965.\n</reasoning>\nFinal Answer: -965"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 86 + 573"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 86 and 573: 86 + 573 = 659.\n</reasoning>\nFinal Answer: 659"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [13, 1, 21, 64, 75, 82, 21, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {13: 1, 1: 1, 21: 2, 64: 1, 75: 1, 82: 1, 16: 1}. Most frequent: 21.\n</reasoning>\nFinal Answer: 21"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Ravi has 155 apples and buys 67 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 155 + 67 = 222.\n</reasoning>\nFinal Answer: 222"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 10, 29 and height 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (10+29) × 16 = 312.0.\n</reasoning>\nFinal Answer: 312.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -206 mod -329"
},
{
"role": "assistant",
"content": "<reasoning>\n-206 mod -329: -206 = -329 × 0 + -206, so remainder = -206.\n</reasoning>\nFinal Answer: -206"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [76, 98, 37, 99, 71, 67, 40, 52, 14]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {76: 1, 98: 1, 37: 1, 99: 1, 71: 1, 67: 1, 40: 1, 52: 1, 14: 1}. Most frequent: [76, 98, 37, 99, 71, 67, 40, 52, 14].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Increase 451 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 451 × (1 + 17/100) = 451 × 1.17 = 527.67.\n</reasoning>\nFinal Answer: 527.67"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -26 = 31"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 3x = 57. Divide by 3: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [11, 80, 39, 24, 44, 61, 27, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 345/8 = 43.125.\n</reasoning>\nFinal Answer: 43.125"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -813 ÷ -173"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -813 by -173. -813 ÷ -173 = 4 (integer division).\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 282 × 738"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 282 by 738: 282 × 738 = 208116.\n</reasoning>\nFinal Answer: 208116"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Is 150 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n150 = 2 × 75, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Simplify: 19/2 - 8/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/2 - 8/19. LCD = 38. Result = 345/38.\n</reasoning>\nFinal Answer: 345/38"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:23 and A = 92, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/23, so B = A × (23/28) = 92 × 23/28 = 75.5714.\n</reasoning>\nFinal Answer: 75.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:49 and A = 22, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/49, so B = A × (49/32) = 22 × 49/32 = 33.6875.\n</reasoning>\nFinal Answer: 33.6875"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:49 and A = 78, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/49, so B = A × (49/16) = 78 × 49/16 = 238.875.\n</reasoning>\nFinal Answer: 238.875"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 2 * 39 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 2×39=78, then 25+78-31=72.\n</reasoning>\nFinal Answer: 72"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 55 and width 12."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(55+12) = 2×67 = 134.\n</reasoning>\nFinal Answer: 134"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -999 + -713"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -999 and -713: -999 + -713 = -1712.\n</reasoning>\nFinal Answer: -1712"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 10% of 350?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 350 = (10/100) × 350 = 35.0.\n</reasoning>\nFinal Answer: 35.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 11/20 - 1/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/20 - 1/5. LCD = 20. Result = 7/20.\n</reasoning>\nFinal Answer: 7/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 * 13 + 17 * 40"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 33×13=429 and 17×40=680, then add: 1109.\n</reasoning>\nFinal Answer: 1109"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -380 - 766"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 766 from -380: -380 - 766 = -1146.\n</reasoning>\nFinal Answer: -1146"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/16 + 8/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/16 + 8/18. Common denominator = 36. Result = 25/36.\n</reasoning>\nFinal Answer: 25/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [93, 19, 41, 10, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 12, 19, 41, 93]. Middle value(s) → median = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 73 and width 67."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(73+67) = 2×140 = 280.\n</reasoning>\nFinal Answer: 280"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "A train travels at 194 km/h. How far does it travel in 1 hours and 42 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 42/60 = 1.7000 hours. Distance = speed × time = 194 × 1.7000 = 329.8 km.\n</reasoning>\nFinal Answer: 329.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 30 and height 87."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 30 × 87 = 1305.0.\n</reasoning>\nFinal Answer: 1305.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 8 * 13 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 8×13=104, then 21+104-41=84.\n</reasoning>\nFinal Answer: 84"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 648 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 648 × (1 + 30/100) = 648 × 1.3 = 842.4.\n</reasoning>\nFinal Answer: 842.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 11, 23 and height 49."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (11+23) × 49 = 833.0.\n</reasoning>\nFinal Answer: 833.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 21 = -4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 5x = -25. Divide by 5: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 570 - 773"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 773 from 570: 570 - 773 = -203.\n</reasoning>\nFinal Answer: -203"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 382 - 670"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 670 from 382: 382 - 670 = -288.\n</reasoning>\nFinal Answer: -288"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -740 × 65"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -740 by 65: -740 × 65 = -48100.\n</reasoning>\nFinal Answer: -48100"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 20 and 18."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (20×18)/2 = 180.\n</reasoning>\nFinal Answer: 180"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -34 = 816"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 17x = 850. Divide by 17: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [89, 32, 52, 2, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 2 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Given A = [1, 9, 12, 13, 17] and B = [1, 6, 8, 11, 12, 14, 15, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 6, 8, 9, 11, 12, 13, 14, 15, 17].\n</reasoning>\nFinal Answer: [1, 6, 8, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "An item costs ₹4311. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4311 × 18/100 = 775.98. Total = 4311 + 775.98 = 5086.98.\n</reasoning>\nFinal Answer: 5086.98"
}
] | medium | [
"word_problem",
"applied_math"
] |
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