messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: 292 - 730"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 730 from 292: 292 - 730 = -438.\n</reasoning>\nFinal Answer: -438"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 25, 27, and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 25 + 27 + 35 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 16/13 + 12/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/13 + 12/16. Common denominator = 52. Result = 103/52.\n</reasoning>\nFinal Answer: 103/52"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [9, 80, 2, 85, 97, 72]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {9: 1, 80: 1, 2: 1, 85: 1, 97: 1, 72: 1}. Most frequent: [9, 80, 2, 85, 97, 72].\n</reasoning>\nFinal Answer: [9, 80, 2, 85, 97, 72]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Decrease 989 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 989 × (1 - 50/100) = 989 × 0.5 = 494.5.\n</reasoning>\nFinal Answer: 494.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 12/13 / 13/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/13) ÷ (13/13) = (12/13) × (13/13) = 12/13.\n</reasoning>\nFinal Answer: 12/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 19/4 / 3/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/4) ÷ (3/3) = (19/4) × (3/3) = 19/4.\n</reasoning>\nFinal Answer: 19/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 4/10 * 17/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/10) × (17/11) = (68/110) = 34/55 after simplification.\n</reasoning>\nFinal Answer: 34/55"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 44 ** 2 - 36"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 44²=1936, then 15+1936-36=1915.\n</reasoning>\nFinal Answer: 1915"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-15)x + (-72) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -15² - 4×3×-72 = 1089. √discriminant = 33. x = (-(-15) ± 33) / (2×3). Solutions: x = 8 or x = -3.\n</reasoning>\nFinal Answer: x = 8 or x = -3... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 679 ÷ 671"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 679 by 671. 679 ÷ 671 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -34 = -184"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 15x = -150. Divide by 15: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -5 = 238"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 27x = 243. Divide by 27: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:23 and A = 39, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/23, so B = A × (23/14) = 39 × 23/14 = 64.0714.\n</reasoning>\nFinal Answer: 64.0714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 25, 9 and height 22."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (25+9) × 22 = 374.0.\n</reasoning>\nFinal Answer: 374.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 150 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 20%: 150 × (1 + 20/100) = 150 × 1.2 = 180.0.\n</reasoning>\nFinal Answer: 180.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 41 and width 51."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(41+51) = 2×92 = 184.\n</reasoning>\nFinal Answer: 184"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Decrease 925 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 925 × (1 - 50/100) = 925 × 0.5 = 462.5.\n</reasoning>\nFinal Answer: 462.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 97 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 97 × (1 + 5/100) = 97 × 1.05 = 101.85.\n</reasoning>\nFinal Answer: 101.85"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [6, 7, 9, 16, 18] and B = [3, 6, 8, 14, 15], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [6].\n</reasoning>\nFinal Answer: [6]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate: 6^6"
},
{
"role": "assistant",
"content": "<reasoning>\n6^6 = 6 × 6 × 6 × 6 × 6 × 6 = 46656.\n</reasoning>\nFinal Answer: 46656"
}
] | easy | [
"exponents"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:49 and A = 13, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/49, so B = A × (49/26) = 13 × 49/26 = 24.5.\n</reasoning>\nFinal Answer: 24.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:41 and A = 14, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/41, so B = A × (41/47) = 14 × 41/47 = 12.2128.\n</reasoning>\nFinal Answer: 12.2128"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 45 and height 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 45 × 39 = 1755.\n</reasoning>\nFinal Answer: 1755"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 7 = -155"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 6x = -162. Divide by 6: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -34 = -469"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 15x = -435. Divide by 15: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -172 - -804"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -804 from -172: -172 - -804 = 632.\n</reasoning>\nFinal Answer: 632"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -18 = -1128"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 30x = -1110. Divide by 30: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 13 = 493"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 16x = 480. Divide by 16: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 15% of 934?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 934 = (15/100) × 934 = 140.1.\n</reasoning>\nFinal Answer: 140.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 65% of 575?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 575 = (65/100) × 575 = 373.75.\n</reasoning>\nFinal Answer: 373.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A bag has 4 red and 2 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 4/6 = 0.6667.\n</reasoning>\nFinal Answer: 0.6667"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Calculate: 729 × -570"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 729 by -570: 729 × -570 = -415530.\n</reasoning>\nFinal Answer: -415530"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 133 apples and buys 133 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 133 + 133 = 266.\n</reasoning>\nFinal Answer: 266"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 2/13 + 4/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/13 + 4/4. Common denominator = 13. Result = 15/13.\n</reasoning>\nFinal Answer: 15/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 41 ** 2 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 41²=1681, then 39+1681-44=1676.\n</reasoning>\nFinal Answer: 1676"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -39 = -183"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 18x = -144. Divide by 18: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 13 apples and buys 130 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 13 + 130 = 143.\n</reasoning>\nFinal Answer: 143"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 6 and width 93."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 6 × 93 = 558.\n</reasoning>\nFinal Answer: 558"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹4305. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4305 × 12/100 = 516.6. Total = 4305 + 516.6 = 4821.6.\n</reasoning>\nFinal Answer: 4821.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 45 = -300"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 23x = -345. Divide by 23: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 936 ÷ 926"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 936 by 926. 936 ÷ 926 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [69, 7, 45, 2, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 204/5 = 40.8.\n</reasoning>\nFinal Answer: 40.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 7/8 - 8/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/8 - 8/19. LCD = 152. Result = 69/152.\n</reasoning>\nFinal Answer: 69/152"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 1, 20 and height 41."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (1+20) × 41 = 430.5.\n</reasoning>\nFinal Answer: 430.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [2, 6, 7, 10, 12] and B = [6, 7, 11, 14, 17, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 10, 11, 12, 14, 17, 19].\n</reasoning>\nFinal Ans... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 441 ÷ -295"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 441 by -295. 441 ÷ -295 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 23 and 50."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (23×50)/1 = 1150.\n</reasoning>\nFinal Answer: 1150"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 9 and 2."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (9×2)/1 = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 1 ** 2 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 1²=1, then 36+1-2=35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -777 - 518"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 518 from -777: -777 - 518 = -1295.\n</reasoning>\nFinal Answer: -1295"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (17 + 13) * (50 - 10)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (17+13)=30, (50-10)=40, then 30×40=1200.\n</reasoning>\nFinal Answer: 1200"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -32 = -158"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 14x = -126. Divide by 14: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 50 and 23."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(50,23) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -573 - 335"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 335 from -573: -573 - 335 = -908.\n</reasoning>\nFinal Answer: -908"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -829 mod -170"
},
{
"role": "assistant",
"content": "<reasoning>\n-829 mod -170: -829 = -170 × 4 + -149, so remainder = -149.\n</reasoning>\nFinal Answer: -149"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [92, 77, 100, 35, 99, 29, 22, 19, 76, 17]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [17, 19, 22, 29, 35, 76, 77, 92, 99, 100]. Middle value(s) → median = 55.5.\n</reasoning>\nFinal Answer: 55.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 14 and common difference 10, find the 31th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 14 + (31-1)×10 = 14 + 300 = 314.\n</reasoning>\nFinal Answer: 314"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -18 = 649"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 23x = 667. Divide by 23: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 36 and height 48."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 36 × 48 = 864.0.\n</reasoning>\nFinal Answer: 864.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -198 mod 327"
},
{
"role": "assistant",
"content": "<reasoning>\n-198 mod 327: -198 = 327 × -1 + 129, so remainder = 129.\n</reasoning>\nFinal Answer: 129"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -851 - -151"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -151 from -851: -851 - -151 = -700.\n</reasoning>\nFinal Answer: -700"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 23, 15 and height 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (23+15) × 27 = 513.0.\n</reasoning>\nFinal Answer: 513.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 18 and common difference 11, find the 34th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 18 + (34-1)×11 = 18 + 363 = 381.\n</reasoning>\nFinal Answer: 381"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 29 and 18."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (29×18)/1 = 522.\n</reasoning>\nFinal Answer: 522"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 262 - 502"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 502 from 262: 262 - 502 = -240.\n</reasoning>\nFinal Answer: -240"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 10/14 + 15/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/14 + 15/7. Common denominator = 7. Result = 20/7.\n</reasoning>\nFinal Answer: 20/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:29 and A = 81, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/29, so B = A × (29/38) = 81 × 29/38 = 61.8158.\n</reasoning>\nFinal Answer: 61.8158"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 60 apples and buys 29 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 60 + 29 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 10/2 / 17/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/2) ÷ (17/13) = (10/2) × (13/17) = 65/17.\n</reasoning>\nFinal Answer: 65/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 912 + -437"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 912 and -437: 912 + -437 = 475.\n</reasoning>\nFinal Answer: 475"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:21 and A = 44, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/21, so B = A × (21/29) = 44 × 21/29 = 31.8621.\n</reasoning>\nFinal Answer: 31.8621"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹44704 at 14% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 44704 × 14 × 7 / 100 = 43809.92.\n</reasoning>\nFinal Answer: 43809.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 47 and common difference 8, find the 23th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 47 + (23-1)×8 = 47 + 176 = 223.\n</reasoning>\nFinal Answer: 223"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (14 + 23) * (25 - 8)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (14+23)=37, (25-8)=17, then 37×17=629.\n</reasoning>\nFinal Answer: 629"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 131 km/h. How far does it travel in 4 hours and 5 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 5/60 = 4.0833 hours. Distance = speed × time = 131 × 4.0833 = 534.9167 km.\n</reasoning>\nFinal Answer: 534.9167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -94 mod 92"
},
{
"role": "assistant",
"content": "<reasoning>\n-94 mod 92: -94 = 92 × -2 + 90, so remainder = 90.\n</reasoning>\nFinal Answer: 90"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 7 = 343"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 7x = 336. Divide by 7: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 43 = -314"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 17x = -357. Divide by 17: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 438 - 809"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 809 from 438: 438 - 809 = -371.\n</reasoning>\nFinal Answer: -371"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 2/6 * 18/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/6) × (18/13) = (36/78) = 6/13 after simplification.\n</reasoning>\nFinal Answer: 6/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [69, 55, 34, 80, 35, 37, 88, 30, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 502/9 = 55.7778.\n</reasoning>\nFinal Answer: 55.7778"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 2 = 1278"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 29x = 1276. Divide by 29: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹4660 at 11% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 4660 × 11 × 3 / 100 = 1537.8.\n</reasoning>\nFinal Answer: 1537.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 4/8 / 19/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/8) ÷ (19/5) = (4/8) × (5/19) = 5/38.\n</reasoning>\nFinal Answer: 5/38"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:16 and A = 73, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/16, so B = A × (16/11) = 73 × 16/11 = 106.1818.\n</reasoning>\nFinal Answer: 106.1818"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "60 is what percentage of 517?"
},
{
"role": "assistant",
"content": "<reasoning>\n(60/517) × 100 = 11.6054%.\n</reasoning>\nFinal Answer: 11.6054%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 77 and width 85."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(77+85) = 2×162 = 324.\n</reasoning>\nFinal Answer: 324"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 13 days. How many days will 12 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 13 = 65 worker-days. New time = 65 / 12 = 5.4167 days.\n</reasoning>\nFinal Answer: 5.4167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -632 ÷ -73"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -632 by -73. -632 ÷ -73 = 8 (integer division).\n</reasoning>\nFinal Answer: 8"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 758 + -415"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 758 and -415: 758 + -415 = 343.\n</reasoning>\nFinal Answer: 343"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (44 + 36) * (50 - 38)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (44+36)=80, (50-38)=12, then 80×12=960.\n</reasoning>\nFinal Answer: 960"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -242 ÷ -710"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -242 by -710. -242 ÷ -710 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 153 - -867"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -867 from 153: 153 - -867 = 1020.\n</reasoning>\nFinal Answer: 1020"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 3 and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (3×38)/1 = 114.\n</reasoning>\nFinal Answer: 114"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 732 ÷ -431"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 732 by -431. 732 ÷ -431 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 * 39 + 20 * 10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 44×39=1716 and 20×10=200, then add: 1916.\n</reasoning>\nFinal Answer: 1916"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 16/3 - 2/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/3 - 2/19. LCD = 57. Result = 298/57.\n</reasoning>\nFinal Answer: 298/57"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 4 = 304"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 12x = 300. Divide by 12: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 178 and 100."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(178,100) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
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