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math

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[ { "from": "human", "value": "Solve 2*y + 664 = 654 for y." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Solve 50*w - 126 = 29*w for w." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Express (0*k + 0*k + k)*(-13 + 4 + 48)*(1 + 3*k - 1) in the form y*k + u + i*k**2 and give i." }, { "from": "gpt", "value": "117" } ]
[ { "from": "human", "value": "What is the common denominator of -36/241 and 67/10?" }, { "from": "gpt", "value": "2410" } ]
[ { "from": "human", "value": "Let m(r) = -r**2 - 2*r + 3. Let d be m(-4). Let v(j) = j**2 + 4*j - 7. Let b be v(d). Sort 6/7, -1, b in increasing order." }, { "from": "gpt", "value": "b, -1, 6/7" } ]
[ { "from": "human", "value": "Let q = -7 + 13. Let m = -2 + q. Suppose -112 = -4*b - 2*s, 2*b + m*s + 140 = 7*b. What is the remainder when b is divided by 10?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "In base 7, what is 1 - 644?" }, { "from": "gpt", "value": "-643" } ]
[ { "from": "human", "value": "List the prime factors of 17051." }, { "from": "gpt", "value": "17, 59" } ]
[ { "from": "human", "value": "What is the x'th term of 89, 202, 301, 380, 433, 454, 437?" }, { "from": "gpt", "value": "-x**3 - x**2 + 123*x - 32" } ]
[ { "from": "human", "value": "In base 11, what is 34 - -317?" }, { "from": "gpt", "value": "350" } ]
[ { "from": "human", "value": "What is -11022 (base 3) in base 13?" }, { "from": "gpt", "value": "-8c" } ]
[ { "from": "human", "value": "Let v(g) = -7*g**2 - 9*g + 5. Let p(o) = 1 - 4*o**2 + 4*o**2 - o - o**2. Suppose -b - 2 = -1. Let n(q) = b*v(q) + 5*p(q). Factor n(k)." }, { "from": "gpt", "value": "2*k*(k + 2)" } ]
[ { "from": "human", "value": "Let h = 1.326 + -58.626. What is h rounded to 0 dps?" }, { "from": "gpt", "value": "-57.0" } ]
[ { "from": "human", "value": "What is 64 (base 8) in base 5?" }, { "from": "gpt", "value": "202" } ]
[ { "from": "human", "value": "What is 0.9461477 kilograms in grams?" }, { "from": "gpt", "value": "946.1477" } ]
[ { "from": "human", "value": "Evaluate (3 - (6 - 4)) + -6." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Let h = 4 + -9. Let l = -3.73 - 0.27. Which is the nearest to -0.1? (a) l (b) 0 (c) h" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Find u, given that 10*u**4/11 + 6*u**3 + 122*u**2/11 + 30*u/11 - 36/11 = 0." }, { "from": "gpt", "value": "-3, -1, 2/5" } ]
[ { "from": "human", "value": "What is the highest common factor of 1215 and 54?" }, { "from": "gpt", "value": "27" } ]
[ { "from": "human", "value": "Evaluate (-10 - 679/(-70))/((-6)/4)." }, { "from": "gpt", "value": "1/5" } ]
[ { "from": "human", "value": "Which is the closest to 82? (a) 4 (b) 0.5 (c) 5" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "What is the w'th term of -129, -137, -155, -189, -245?" }, { "from": "gpt", "value": "-w**3 + w**2 - 4*w - 125" } ]
[ { "from": "human", "value": "What is the common denominator of 57/10 and -37/430?" }, { "from": "gpt", "value": "430" } ]
[ { "from": "human", "value": "What is the greatest common divisor of 117 and 2379?" }, { "from": "gpt", "value": "39" } ]
[ { "from": "human", "value": "What is 431 to the power of 1/2, to the nearest integer?" }, { "from": "gpt", "value": "21" } ]
[ { "from": "human", "value": "How many minutes are there between 7:10 PM and 7:51 PM?" }, { "from": "gpt", "value": "41" } ]
[ { "from": "human", "value": "Let t(g) = g**3 - g. Let h be t(-1). What is the third derivative of -2*n**6 + 0*n**2 - 2*n**2 + 0*n**6 + h*n**2 wrt n?" }, { "from": "gpt", "value": "-240*n**3" } ]
[ { "from": "human", "value": "Let m = -7 + 13. Suppose -10 = -4*f + m. Calculate the smallest common multiple of f and 1." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "How many minutes are there between 9:45 AM and 12:32 PM?" }, { "from": "gpt", "value": "167" } ]
[ { "from": "human", "value": "Let z = -0.486 + 0.086. Let j = 0.3 + -0.5. Let x = 0.26 - -0.04. Which is the closest to -1? (a) z (b) j (c) x" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "What is the greatest common factor of 20558 and 836?" }, { "from": "gpt", "value": "38" } ]
[ { "from": "human", "value": "Let c(n) = -4*n**2 + n. Let j(q) = 4*q**2 - q. Let w(y) = -4*c(y) - 5*j(y). What is the second derivative of w(r) wrt r?" }, { "from": "gpt", "value": "-8" } ]
[ { "from": "human", "value": "Let u(l) be the third derivative of 0*l + 0 + l**2 - 1/24*l**4 + 0*l**3 - 1/60*l**6 - 1/60*l**5. Let n be u(-1). Is n < 2?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Sort -2, 70, -1, -5, 2 in ascending order." }, { "from": "gpt", "value": "-5, -2, -1, 2, 70" } ]
[ { "from": "human", "value": "Let o(d) = d**2 + 7*d + 3. Let k be o(-7). Suppose k*j - 20 = 7*j, f = -2*j - 2. Let h = -4 + f. Solve -2*w + 13 + 5 = -4*i, -2*w - 6 = h*i for i." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Let x(s) = 3*s - 22. Let f be x(10). Which is the closest to f? (a) -3 (b) 0.3 (c) -5" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Put -4, -3, 214 in decreasing order." }, { "from": "gpt", "value": "214, -3, -4" } ]
[ { "from": "human", "value": "Suppose 5*l - 3*l = 14. Let a(j) = j**2 - 6*j + 1. List the prime factors of a(l)." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "-12 * 0.3" }, { "from": "gpt", "value": "-3.6" } ]
[ { "from": "human", "value": "Evaluate ((-20)/12)/((-20)/12)." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is the value of -26 + 2 - (1113 - 1097)?" }, { "from": "gpt", "value": "-40" } ]
[ { "from": "human", "value": "What is the biggest value in 3, -130, 0.2?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the second derivative of 208*x**2 + 15*x + 2 wrt x?" }, { "from": "gpt", "value": "416" } ]
[ { "from": "human", "value": "Which is the closest to 1/3? (a) -2/5 (b) 4 (c) -3" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "What is the second smallest value in -3/2, 0.2, -1.6?" }, { "from": "gpt", "value": "-3/2" } ]
[ { "from": "human", "value": "Is 67 a factor of 1546?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the o'th term of -119, -117, -115, -113, -111?" }, { "from": "gpt", "value": "2*o - 121" } ]
[ { "from": "human", "value": "What is the remainder when 250 is divided by 51?" }, { "from": "gpt", "value": "46" } ]
[ { "from": "human", "value": "Is 53099 a composite number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the greatest common divisor of 2838 and 132?" }, { "from": "gpt", "value": "66" } ]
[ { "from": "human", "value": "Let n(h) = 5*h**2 + 2*h + 2. Let q be n(2). Let g = 16 - 16. Solve g*m = -t + 5*m + q, -2*t = m + 3 for t." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let b(t) be the third derivative of 7*t**5/450 + t**4/60 + 2*t**2. Solve b(w) = 0." }, { "from": "gpt", "value": "-3/7, 0" } ]
[ { "from": "human", "value": "What is the value of ((-3)/45*-2)/(28/(-35))?" }, { "from": "gpt", "value": "-1/6" } ]
[ { "from": "human", "value": "Let b(a) = -a - 6. Let t be b(-8). Solve 0 = -2*l + l - t*s + 3, l + s = 3 for l." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the o'th term of -687, -1378, -2069, -2760, -3451, -4142?" }, { "from": "gpt", "value": "4 - 691*o" } ]
[ { "from": "human", "value": "Divide 15 by 3." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What is 997 to the power of 1/6, to the nearest integer?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Factor -2*o**4/9 + 4*o**3/3 - 22*o**2/9 + 4*o/3." }, { "from": "gpt", "value": "-2*o*(o - 3)*(o - 2)*(o - 1)/9" } ]
[ { "from": "human", "value": "What is the m'th term of 1669, 1677, 1685, 1693, 1701?" }, { "from": "gpt", "value": "8*m + 1661" } ]
[ { "from": "human", "value": "What is 173 minutes after 7:30 AM?" }, { "from": "gpt", "value": "10:23 AM" } ]
[ { "from": "human", "value": "Calculate the remainder when 62 is divided by 29." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "In base 2, what is -1110010001011 - 11?" }, { "from": "gpt", "value": "-1110010001110" } ]
[ { "from": "human", "value": "Round -18402.5 to the nearest 1000." }, { "from": "gpt", "value": "-18000.0" } ]
[ { "from": "human", "value": "Is 10 a factor of 9200?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Put -4, -65, 13 in decreasing order." }, { "from": "gpt", "value": "13, -4, -65" } ]
[ { "from": "human", "value": "What is the l'th term of 168, 339, 512, 687?" }, { "from": "gpt", "value": "l**2 + 168*l - 1" } ]
[ { "from": "human", "value": "Calculate 0.07*-21256823." }, { "from": "gpt", "value": "-1487977.61" } ]
[ { "from": "human", "value": "Find k such that -15*k**3 - 535*k**2 - 860*k - 340 = 0." }, { "from": "gpt", "value": "-34, -1, -2/3" } ]
[ { "from": "human", "value": "Calculate ((-3)/(-6))/((-14)/28)." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Calculate the greatest common factor of 2 and 8746." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let i(g) = g**4 + 3*g**3 + 9*g**2 - 10*g - 10. Suppose 44 - 9 = -5*o. Let u(d) = d**3 + 3*d**2 - 3*d - 3. Let a(m) = o*u(m) + 2*i(m). Factor a(t)." }, { "from": "gpt", "value": "(t - 1)**2*(t + 1)*(2*t + 1)" } ]
[ { "from": "human", "value": "Sort -12, 5, -3 in ascending order." }, { "from": "gpt", "value": "-12, -3, 5" } ]
[ { "from": "human", "value": "Let b(y) = -y**2 + 2*y - 2. Let t(s) = -5*s**2 + 6*s - 3. Give -4*b(d) + t(d)." }, { "from": "gpt", "value": "-d**2 - 2*d + 5" } ]
[ { "from": "human", "value": "What is the value of -5 + -4 + 4 + 10?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Suppose -5 = b - 43. Let s(d) = 23*d + 142. Calculate the remainder when s(-3) is divided by b." }, { "from": "gpt", "value": "35" } ]
[ { "from": "human", "value": "What is the value of 8/76*4*1/4?" }, { "from": "gpt", "value": "2/19" } ]
[ { "from": "human", "value": "Sort 2, -4350, -4 in increasing order." }, { "from": "gpt", "value": "-4350, -4, 2" } ]
[ { "from": "human", "value": "What is the next term in 0, 20, 58, 114, 188, 280?" }, { "from": "gpt", "value": "390" } ]
[ { "from": "human", "value": "Which is smaller: -6 or 0.86249?" }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "Let f(h) be the second derivative of 1/4*h**4 - 1/28*h**8 + 0*h**6 + 0*h**7 + h + 0*h**3 + 0*h**5 + 0 + 0*h**2. Find the third derivative of f(d) wrt d." }, { "from": "gpt", "value": "-240*d**3" } ]
[ { "from": "human", "value": "What is 1 - -1 - (2 - -4)?" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Product of 946 and 2." }, { "from": "gpt", "value": "1892" } ]
[ { "from": "human", "value": "Let s = 2455 - 2415. Let h = -48 + 80. Calculate the highest common divisor of s and h." }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Let x = 4 - 2. Let a(f) = 8 - f**3 + f**2 - 4*f**2 - f**2 - 3. Let y be a(-4). Solve -z = y*p - 30, -x*p + p - z + 10 = 0 for p." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Simplify -6*1*sqrt(325) + sqrt(1053)*-2 + 2." }, { "from": "gpt", "value": "2 - 48*sqrt(13)" } ]
[ { "from": "human", "value": "Let r(s) = s + 6. Let c = 3 - 7. Let i be r(c). Suppose 0 = i*j + 3*j - 5. Sort 4, j, -3 in decreasing order." }, { "from": "gpt", "value": "4, j, -3" } ]
[ { "from": "human", "value": "-1705 + 0.63" }, { "from": "gpt", "value": "-1704.37" } ]
[ { "from": "human", "value": "-7 + 3 + 2 + -2" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let x = 42 + -29. Let v = 27 - x. Calculate the remainder when v is divided by 1 + ((-2)/(-1) - -2)." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is the second biggest value in -5, 5, -0.14, -0.2, 0.1?" }, { "from": "gpt", "value": "0.1" } ]
[ { "from": "human", "value": "Suppose w = 5*d - 2*d + 585, -5*d - 1175 = -2*w. Suppose 3 = 3*o, 4*l + 2*o + 2*o = w. Is l a composite number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Which is the smallest value? (a) 1/5 (b) -31 (c) 4 (d) -3/2" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Calculate -3088 divided by 1544." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Calculate 64/(-22) - 173456/(-77352)." }, { "from": "gpt", "value": "-2/3" } ]
[ { "from": "human", "value": "What is the third root of 616 to the nearest integer?" }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "What is the second derivative of 9*b**4 + 686*b**2 - 11251*b?" }, { "from": "gpt", "value": "108*b**2 + 1372" } ]
[ { "from": "human", "value": "What is the g'th term of -1705, -1704, -1703, -1702, -1701, -1700?" }, { "from": "gpt", "value": "g - 1706" } ]
[ { "from": "human", "value": "What is -22 divided by -1?" }, { "from": "gpt", "value": "22" } ]
[ { "from": "human", "value": "Is 34 a factor of 716?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Sort -4, -269, 2 in descending order." }, { "from": "gpt", "value": "2, -4, -269" } ]