messages listlengths 2 2 |
|---|
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{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nLet $\\omega = e^{2\\pi i / 3}$. Find the value of the product $\\prod_{... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nFind the value of $(1 + i)^{6}$, where $i$ is the imaginary unit ($i^2 =... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nHow many ways are there to distribute 11 identical gold coins among 4 di... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nFour players have scores: Sam=52, Kim=91, Dan=26, Eve=100. The lowest sc... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nA budget of 2000 gold coins is allocated: Research gets 25%, Marketing g... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nConsider the quadratic equation $1x^2 -5x +0 = 0$. If $r_1$ and $r_2$ ar... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nA sequence is defined by $a_0 = 0$, $a_1 = 3$, and $a_n = 1a_{n-1} + 2a_... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nLet $p = 3$. Let $a = 19$ and $b = 10$. Find the largest power of $3$ th... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nLet $S = \\sum_{k \\equiv 0 \\pmod{4}} \\binom{13}{k}$. Find the value o... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nA budget of 2000 credits is allocated: Research gets 25%, Marketing gets... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nFind the smallest positive integer $x$ such that:\n$x \\equiv 1 \\pmod{7... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nFind the remainder when $3^{712}$ is divided by $7$."
},
{
"role... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nLet $p = 5$. Let $a = 37$ and $b = 12$. Find the largest power of $5$ th... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nThree merchants — Sara, Majid, and Noura — have 63, 41, and 17 silver co... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nA function $f(x)$ satisfies $f(x+y) = f(x) + f(y)$ for all $x, y$. If $f... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nIn $\\triangle ABC$, $AC = 5$ and $AB = 5$. A cevian $AD$ is drawn to si... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nHow many ways can we choose non-negative integers $x_1, x_2, \\dots, x_6... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nPlayers have scores: Mia=53, Leo=78, Zoe=68, Jay=88. Step 1: The lowest ... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nA stockpile has 1000 supplies. Each step: 25% are used up (floor), then ... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nFind the value of $(1 + i)^{4}$, where $i$ is the imaginary unit ($i^2 =... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nAn investment of 3898 dollars grows by 20% each step (floor). What is th... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nFind the value of $(1 + i)^{6}$, where $i$ is the imaginary unit ($i^2 =... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nLet $S = \\sum_{k \\equiv 0 \\pmod{4}} \\binom{19}{k}$. Find the value o... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nA budget of 5000 dollars is allocated: Cause A gets 20%, Cause B gets 35... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nA point is chosen at random on a line segment of length 20. What is the ... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nPlayers have scores: Raj=88, Uma=90, Vic=93, Wen=87. Step 1: The lowest ... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nFind the smallest positive integer $x$ such that:\n$x \\equiv 1 \\pmod{3... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nIn a class of 100 students, 50 like Math and 54 like Science. If 18 stud... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nA group of 8 villagers must divide 74 bags of rice equally. Each gets th... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nCompute $2^{446} \\pmod{21}$."
},
{
"role": "assistant",
"co... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nContestants have scores: Ali=72, Babak=94, Cyrus=55. Step 1: The lowest ... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nIn $\\triangle ABC$, $AC = 5$ and $AB = 5$. A cevian $AD$ is drawn to si... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nA function $f(x)$ satisfies $f(x+y) = f(x) + f(y)$ for all $x, y$. If $f... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nHow many ways can we choose non-negative integers $x_1, x_2, \\dots, x_6... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nFour players have scores: Sam=42, Kim=87, Dan=37, Eve=46. The lowest sco... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nA system starts with 176 units. Each step: 20% is removed (floor), then ... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nLet $\\omega = e^{2\\pi i / 4}$. Find the value of the product $\\prod_{... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nThree tanks have units: Tank A=118, Tank B=185, Tank C=162. Each step, p... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nA depot has 660 tokens. Day 1: Ships 25% (floor) to Branch X and 20% (fl... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nFour players have scores: Ada=72, Ben=52, Cal=64, Dee=68. The lowest sco... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nIf $x + y = 5$ and $xy = 2$, find the value of $x^3 + y^3$."
},
{
... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nA factory has 800 widgets. Each step: 25% are lost to defects (floor), t... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nIn $\\triangle ABC$, side $a = 8$, side $b = 6$, and $\\angle C = 60^\\c... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nA budget of 1000 dollars is allocated: Research gets 25%, Marketing gets... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nA factory has 1000 widgets. Each step: 15% are lost to defects (floor), ... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nA group of 9 friends must divide 771 apples equally. Each gets the floor... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nA function $f(x)$ satisfies $f(x+y) = f(x) + f(y)$ for all $x, y$. If $f... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nGame show: Ali=85, Babak=60, Cyrus=66 bushels. Round 1: Each wagers 30% ... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nContestants have scores: Ahmed=99, Zara=86, Ibrahim=61. Step 1: The lowe... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nA point is chosen at random on a line segment of length 17. What is the ... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nIn a class of 100 students, 46 like Math and 60 like Science. If 31 stud... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nLet $S = \\sum_{k \\equiv 0 \\pmod{3}} \\binom{17}{k}$. Find the value o... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nA function $f(x)$ satisfies $f(x+y) = f(x) + f(y)$ for all $x, y$. If $f... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nHow many ways can we choose non-negative integers $x_1, x_2, \\dots, x_6... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nIn a class of 100 students, 47 like Math and 53 like Science. If 37 stud... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nEvaluate the finite sum: $\\sum_{n=1}^{9} \\frac{1}{n(n+2)}$."
},
{
... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nIn a class of 100 students, 59 like Math and 56 like Science. If 27 stud... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nEvaluate the finite sum: $\\sum_{n=1}^{6} \\frac{1}{n(n+2)}$."
},
{
... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nA sequence is defined by $a_0 = 1$, $a_1 = 1$, and $a_n = 2a_{n-1} + 1a_... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nFind the number of non-negative integer solutions to $x_1 + x_2 + x_3 = ... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nHow many ways are there to distribute 11 identical gold coins among 4 di... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nA function $f(x)$ satisfies $f(x+y) = f(x) + f(y)$ for all $x, y$. If $f... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nA merchant sold goods worth 3669 gold coins. A 8% tax is applied (floor)... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nA system starts with 236 units. Each step: 15% is removed (floor), then ... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nHow many ways are there to distribute 10 identical gold coins among 3 di... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nFour players have scores: Raj=28, Uma=87, Vic=39, Wen=39. The lowest sco... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nCompute $3^{114} \\pmod{35}$."
},
{
"role": "assistant",
"co... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nIf $x + y = 5$ and $xy = 2$, find the value of $x^3 + y^3$."
},
{
... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nAhmed and Zara start with 84 and 110 barrels of oil. Each round, the one... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nConsider the quadratic equation $3x^2 +0x -75 = 0$. If $r_1$ and $r_2$ a... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nLet $\\omega = e^{2\\pi i / 4}$. Find the value of the product $\\prod_{... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nCompute $4^{243} \\pmod{15}$."
},
{
"role": "assistant",
"co... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nIn $\\triangle ABC$, $AC = 5$ and $AB = 5$. A cevian $AD$ is drawn to si... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nFind the smallest positive integer $x$ such that:\n$x \\equiv 4 \\pmod{7... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nFind the remainder when $7^{178}$ is divided by $11$."
},
{
"rol... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nGame show: Yusuf=98, Hana=60, Tariq=73 apples. Round 1: Each wagers 20% ... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nFrom an external point $P$, a tangent $PT$ and a secant $PAB$ are drawn ... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nA farmer harvested crops worth 502 silver. A 12% tax is applied (floor).... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nCompute $4^{460} \\pmod{35}$."
},
{
"role": "assistant",
"co... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nLet $\\omega = e^{2\\pi i / 3}$. Find the value of the product $\\prod_{... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nIn $\\triangle ABC$, side $a = 6$, side $b = 6$, and $\\angle C = 60^\\c... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nFind the smallest positive integer $x$ such that:\n$x \\equiv 1 \\pmod{3... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nIn $\\triangle ABC$, side $a = 8$, side $b = 6$, and $\\angle C = 60^\\c... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nEvaluate the finite sum: $\\sum_{n=1}^{10} \\frac{1}{n(n+2)}$."
},
{... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nA function $f(x)$ satisfies $f(x+y) = f(x) + f(y)$ for all $x, y$. If $f... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nA system starts with 265 units. Each step: 12% is removed (floor), then ... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nA group of 13 friends must divide 475 diamonds equally. Each gets the fl... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nFind a pair of positive integers $(x, y)$ that satisfies the equation $1... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nCompute $4^{342} \\pmod{35}$."
},
{
"role": "assistant",
"co... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nHow many ways are there to distribute 9 identical gold coins among 3 dis... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nA budget of 10000 credits is allocated: Salaries gets 40%, Equipment get... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nIn $\\triangle ABC$, side $a = 5$, side $b = 8$, and $\\angle C = 60^\\c... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nCalculate the area of a triangle with vertices at $(0,0)$, $(7, 0)$, and... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nConsider the quadratic equation $1x^2 -2x -8 = 0$. If $r_1$ and $r_2$ ar... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nA point is chosen at random on a line segment of length 13. What is the ... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nKhalid, Fatima, Jaber must split 436 bags of rice proportional to their ... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nThree accounts (Mona, Faris, Salma) hold 235, 384, and 163 apples (total... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nCalculate the area of a triangle with vertices at $(0,0)$, $(4, 0)$, and... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nFrom an external point $P$, a tangent $PT$ and a secant $PAB$ are drawn ... |
[
{
"role": "user",
"content": "You are AF-MATH, an advanced mathematical reasoning assistant. You excel at solving math problems step-by-step with clear explanations. Think carefully through each problem before providing your answer.\n\nA budget of 2000 credits is allocated: Education gets 30%, Health gets 2... |
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🔱 AIME-God v5.2 "Zero-System" (Validation)
The gold-standard evaluation set for tracking mathematical reasoning performance during SFT.
🎯 Purpose
- Validation: High-signal tracking of "Tier-15" logic (LTE, Inversion, etc.).
- Consistency: Uses the same "Zero-System" format as the training set to ensure accurate loss monitoring.
- Diversity: 1,000 elite reasoning cases covering all 42+ AF-MATH methods.
🔗 Related Repositories
- Training Set: yesaf990/AIME-God-v5-Pure-Reasoning
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