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math

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[ { "from": "human", "value": "Evaluate 4/(-12)*0*(-8)/(-16)." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "How many minutes are there between 5:50 PM and 10:01 PM?" }, { "from": "gpt", "value": "251" } ]
[ { "from": "human", "value": "Solve -7*x = -26 - 9 for x." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let k(v) = v**3 + 4*v**2 - v - 4. Let i be k(-4). Suppose 2*d = -5 + 13. Solve q + c = 6*c + d, -5*c = i for q." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is the z'th term of 328, 336, 344, 352?" }, { "from": "gpt", "value": "8*z + 320" } ]
[ { "from": "human", "value": "What is the t'th term of 29, 31, 33, 35?" }, { "from": "gpt", "value": "2*t + 27" } ]
[ { "from": "human", "value": "How many minutes are there between 11:54 PM and 6:10 AM?" }, { "from": "gpt", "value": "376" } ]
[ { "from": "human", "value": "Simplify sqrt(190)/sqrt(40) + 0." }, { "from": "gpt", "value": "sqrt(19)/2" } ]
[ { "from": "human", "value": "Suppose -2*r**5/7 - 6*r**4/7 + 78*r**3/7 + 22*r**2/7 - 780*r/7 + 144 = 0. What is r?" }, { "from": "gpt", "value": "-7, -4, 2, 3" } ]
[ { "from": "human", "value": "Solve 5*s + 4*f = -24, 5*s + 2*f + 26 = 4 for s." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let x = -76 - -75.9. Let d = 0.3 + 0.2. Let o be ((-11)/13 + 1)*-1. Which is the closest to x? (a) o (b) d (c) -1/6" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Let p(v) be the second derivative of -5*v**7/42 + v**6/6 + 5*v**5/4 - 25*v**4/12 - 10*v**3/3 + 10*v**2 - 10*v. Determine a, given that p(a) = 0." }, { "from": "gpt", "value": "-2, -1, 1, 2" } ]
[ { "from": "human", "value": "What is the k'th term of 103, 207, 311, 415, 519, 623?" }, { "from": "gpt", "value": "104*k - 1" } ]
[ { "from": "human", "value": "Let q(p) = 357*p + 3 - 1 - 358*p. Let a(h) = h. Calculate -a(k) + q(k)." }, { "from": "gpt", "value": "2 - 2*k" } ]
[ { "from": "human", "value": "What is -110 divided by 5?" }, { "from": "gpt", "value": "-22" } ]
[ { "from": "human", "value": "Solve -2*v + 2*l = 14, -v - l = -5*v - 13 for v." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let k(u) = -u. Let j(r) = r. Suppose 5*c + 8 = -47. Let s = c - -9. Determine s*k(a) - j(a)." }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Let w(z) = z**3 - 14*z**2 + 8*z + 4. Let i(p) = -p**3 + 13*p**2 - 8*p - 4. Let a(j) = 4*i(j) + 3*w(j). What is the units digit of a(9)?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let p be (6/4 - 1)*(-20 + 20). Factor -2/11*r**5 + 2/11*r**3 - 2/11*r**2 + 0*r + 2/11*r**4 + p." }, { "from": "gpt", "value": "-2*r**2*(r - 1)**2*(r + 1)/11" } ]
[ { "from": "human", "value": "Which is the closest to 2? (a) 0.5 (b) -5 (c) -9 (d) -0.4" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "-32 divided by 139" }, { "from": "gpt", "value": "-32/139" } ]
[ { "from": "human", "value": "Determine r so that 2*r**3/7 - 18*r**2/7 + 16*r/7 = 0." }, { "from": "gpt", "value": "0, 1, 8" } ]
[ { "from": "human", "value": "What is 5423 divided by 29?" }, { "from": "gpt", "value": "187" } ]
[ { "from": "human", "value": "What is the remainder when 141 is divided by 94?" }, { "from": "gpt", "value": "47" } ]
[ { "from": "human", "value": "Let i(y) = -y**2 - 2*y. Let z be i(-2). Suppose -3*b = 3*n + 21, z = b + 3*n - 7 + 22. What is the units digit of 6*b/2*-1?" }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "Let y(a) = a**2 + 5*a - 9. Let p be y(-7). Let n = p - -1. Let v be ((-1)/3)/((-2)/12). Solve v*s - 8 = n*s for s." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "In base 10, what is -697 + -5?" }, { "from": "gpt", "value": "-702" } ]
[ { "from": "human", "value": "Solve -3*h = 7*h - 40 for h." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "How many millilitres are there in six fifths of a litre?" }, { "from": "gpt", "value": "1200" } ]
[ { "from": "human", "value": "Is -325 smaller than -323?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Calculate 32 divided by -3." }, { "from": "gpt", "value": "-32/3" } ]
[ { "from": "human", "value": "Let g(n) = n - 1. Let d be g(5). Suppose 0*y = -2*y - d. Let j be 1/(y + (-18)/(-8)). Solve 0 = -0*w + j*w for w." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What comes next: 54, 85, 124, 177, 250, 349, 480, 649?" }, { "from": "gpt", "value": "862" } ]
[ { "from": "human", "value": "Let p = -1.57 + 4.57. Which is greater: 2.1 or p?" }, { "from": "gpt", "value": "p" } ]
[ { "from": "human", "value": "Let n = 1.9 + -0.5. Let x = n - 2.1. Let i = x - -2.7. What is the smallest value in -4, i, 1?" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Is (-76564)/(-2)*39/(-78)*(-9 - 2) a composite number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Suppose 1 = 3*r - 17. Let k = r + -4. Is -6*k*3/(-3) a multiple of 12?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the third derivative of 3*m**2 + 17*m**4 + 3*m**2 - 12*m**4 wrt m?" }, { "from": "gpt", "value": "120*m" } ]
[ { "from": "human", "value": "Suppose -3*i + 12 = -0*i + 3*f, 4*f - 16 = i. Suppose -3*p + 2*p - 8 = -4*m, m = 5*p + 21. Sort 5, i, p." }, { "from": "gpt", "value": "p, i, 5" } ]
[ { "from": "human", "value": "What is the value of -5 - (0 + 0) - (-92)/20?" }, { "from": "gpt", "value": "-2/5" } ]
[ { "from": "human", "value": "Calculate 42.3*-0.3." }, { "from": "gpt", "value": "-12.69" } ]
[ { "from": "human", "value": "What is next in -472, -482, -494, -508, -524?" }, { "from": "gpt", "value": "-542" } ]
[ { "from": "human", "value": "Let o = -43/12 - -13/4. Let m = -946.49 + 950.49. What is the fourth smallest value in -1, m, o, 3?" }, { "from": "gpt", "value": "m" } ]
[ { "from": "human", "value": "Solve 0 = -27*m + 24*m + 15 for m." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What is the square root of 3040165 to the nearest integer?" }, { "from": "gpt", "value": "1744" } ]
[ { "from": "human", "value": "What is the product of 0.1191 and 1?" }, { "from": "gpt", "value": "0.1191" } ]
[ { "from": "human", "value": "What is the greatest common factor of 65 and 122053?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Factor 2*i**5 - 36*i**4 + 210*i**3 - 472*i**2 + 360*i." }, { "from": "gpt", "value": "2*i*(i - 9)*(i - 5)*(i - 2)**2" } ]
[ { "from": "human", "value": "Solve 20 = -35*r - 15 for r." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let p(y) = 2*y**4 - 4*y**3 - 2*y + 4. Let k(h) = -h**3 - h + 1. Let m(c) = 4*k(c) - p(c). Find the second derivative of m(g) wrt g." }, { "from": "gpt", "value": "-24*g**2" } ]
[ { "from": "human", "value": "What is the value of -2 - (5 + -3 + -1) - 1?" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let h = 0.03 - 0.02. Let o = 1.01 - h. Let i = 0.3 - 0.5. What is the biggest value in i, 3, o?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "How many minutes are there between 1:03 PM and 10:33 PM?" }, { "from": "gpt", "value": "570" } ]
[ { "from": "human", "value": "What is the third derivative of 5*t**4 - 3*t + 3*t + 9*t**2 - 3*t**2 wrt t?" }, { "from": "gpt", "value": "120*t" } ]
[ { "from": "human", "value": "Let c(r) = -1 - r**2 + 0 - 5*r - 1. Let x be c(-4). What is the greatest common factor of 10 and x?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let b = 38 + -29. Solve -3*k = -3*z, 3*k + 5*z = 5*k - b for k." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Let g(t) = -t + 11 + 3 - 9. Let r(j) = j**2 - 4*j - 8. Let v be r(6). Let q be g(v). Which is smaller: q or 3/4?" }, { "from": "gpt", "value": "3/4" } ]
[ { "from": "human", "value": "What is next in -133, -273, -423, -589, -777, -993, -1243, -1533?" }, { "from": "gpt", "value": "-1869" } ]
[ { "from": "human", "value": "What is the closest to -2 in -2, 5, -3, 38?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What is next in -503, -485, -467, -449, -431?" }, { "from": "gpt", "value": "-413" } ]
[ { "from": "human", "value": "What is the derivative of -f**3*l + 15*f**2*l**2 - f*l**2 + 81*l**2 - 6*l wrt f?" }, { "from": "gpt", "value": "-3*f**2*l + 30*f*l**2 - l**2" } ]
[ { "from": "human", "value": "Solve -3*u + 3 = 0, 10 = -5*r + 5*u - 15 for r." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is 33722 to the power of 1/2, to the nearest integer?" }, { "from": "gpt", "value": "184" } ]
[ { "from": "human", "value": "What is prob of sequence iiqk when four letters picked without replacement from {t: 6, q: 3, k: 1, i: 9}?" }, { "from": "gpt", "value": "3/1292" } ]
[ { "from": "human", "value": "Let y(x) = 3 - 3 + x**2. Let g(c) be the first derivative of 6 - c**3/3. Determine g(y(n))." }, { "from": "gpt", "value": "-n**4" } ]
[ { "from": "human", "value": "Is 1120 a multiple of 6?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let w = 8 + 15. Is (w/(-3))/(1/(-15)) a prime number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let w(d) = d - 17. Let g be w(12). Let b(i) = -i**3 - 5*i**2 - i - 5. Determine b(g)." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Is 2953 a prime number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let d = 143 - 139. Put 9, 0.4, 0.5, d in decreasing order." }, { "from": "gpt", "value": "9, d, 0.5, 0.4" } ]
[ { "from": "human", "value": "Let t = 184 - 105. Is t a composite number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Which is the nearest to 2/23? (a) -2 (b) 45 (c) 1" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Evaluate 4 + -2 + (-1 - 2)." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "In base 10, what is 4147 + -7?" }, { "from": "gpt", "value": "4140" } ]
[ { "from": "human", "value": "Suppose -3*z + 48 = -11*z. Let q(u) = -u**3 + u**2 + 1. Let i(s) = 4*s**3 - 3*s**2 - 3. Calculate z*q(f) - 2*i(f)." }, { "from": "gpt", "value": "-2*f**3" } ]
[ { "from": "human", "value": "What is the greatest common divisor of 3358 and 92?" }, { "from": "gpt", "value": "46" } ]
[ { "from": "human", "value": "What is the first derivative of -6*m**2*y + 40*m**2 + m*y**2 - m*y + 15*m wrt y?" }, { "from": "gpt", "value": "-6*m**2 + 2*m*y - m" } ]
[ { "from": "human", "value": "Factor 2*l**2/3 + 128*l/3." }, { "from": "gpt", "value": "2*l*(l + 64)/3" } ]
[ { "from": "human", "value": "Factor -q**4/4 + 207*q**3/2 - 41589*q**2/4 - 65205*q - 99225." }, { "from": "gpt", "value": "-(q - 210)**2*(q + 3)**2/4" } ]
[ { "from": "human", "value": "-1 + 11355" }, { "from": "gpt", "value": "11354" } ]
[ { "from": "human", "value": "Let k(b) = -b**2 - 7*b + 5. Let r be k(-7). Suppose -m - r*u + 19 = 0, -4*u + 4 = -m - m. Solve -i - m = -0 for i." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "In base 11, what is 12 + 117013?" }, { "from": "gpt", "value": "117025" } ]
[ { "from": "human", "value": "Let k = -50 + 99/2. Which is bigger: k or -2/39?" }, { "from": "gpt", "value": "-2/39" } ]
[ { "from": "human", "value": "Let o be 29/(-592)*-4 - 1/4. Sort o, -2/5, 2/3." }, { "from": "gpt", "value": "-2/5, o, 2/3" } ]
[ { "from": "human", "value": "Calculate -2 - (-4 - (-1 + -5))." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "In base 3, what is 0 + 20200120?" }, { "from": "gpt", "value": "20200120" } ]
[ { "from": "human", "value": "Let u(j) = -j**2 - 14*j + 17. What is the tens digit of u(-13)?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the value of ((-10)/25)/((-126)/(-180))?" }, { "from": "gpt", "value": "-4/7" } ]
[ { "from": "human", "value": "Solve j + 22 = 4*f, 21*j - 33 = -5*f + 25*j for f." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Which is the closest to 1/4? (a) -1/2 (b) -3 (c) 4 (d) 1/4" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "Let c(p) be the third derivative of -1/735*p**7 + 0 - 1/420*p**6 + 1/84*p**4 - p**2 + 0*p**3 + 1/210*p**5 + 0*p. Factor c(r)." }, { "from": "gpt", "value": "-2*r*(r - 1)*(r + 1)**2/7" } ]
[ { "from": "human", "value": "Calculate (2/6)/(5/75*-1)." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is the value of 5 - (-15)/(-9) - 2/(-3)?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "In base 9, what is 28 + 0?" }, { "from": "gpt", "value": "28" } ]
[ { "from": "human", "value": "Calculate ((-2)/6)/((3136/(-144))/49)." }, { "from": "gpt", "value": "3/4" } ]
[ { "from": "human", "value": "Let u(x) = 11*x + 1. Let i be u(1). Solve 4*v = v + i for v." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Is 281969 a composite number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Calculate 31027 + -0.1." }, { "from": "gpt", "value": "31026.9" } ]
[ { "from": "human", "value": "-1968 divided by -984" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Calculate the remainder when 275 is divided by 66." }, { "from": "gpt", "value": "11" } ]