(g) be the third derivative of g**8/2240 - g**6/360 + g**5/60 + 5*g**4/24 - 7*g**2. Let m(y) be the second derivative of n(y). Is m(3) a composite number?
True
Let p = 9 + -6. Is (p - 2)/(-3)*-747 prime?
False
Let x(v) = -42*v + 145. Is x(-13) composite?
False
Let t(j) = -62*j - 18. Let i be (16/(-4))/((-10)/25). Let w be t(i). Let f = w - -1051. Is f composite?
True
Suppose 2*o + 5*z = 28699, 0*z - 57387 = -4*o + z. Is o prime?
True
Suppose a - 4*o + 11 = 2*a, -5*o + 22 = 4*a. Suppose a*u = 15, -5*u = v - 3*v + 2277. Is v composite?
False
Suppose 222 = 3*f - 2*f. Let r(n) = 289*n + 2. Let i be r(2). Suppose -2*s + i + f = 0. Is s a composite number?
False
Suppose 2*a = -4*h + 8997 + 41439, -2*a + 25214 = 2*h. Is h prime?
True
Suppose 0*z = 5*z - 2*h + 4, -4*h + 8 = 2*z. Suppose -4*s + 160 = -4*l + 2*l, l + 2*s + 100 = z. Let m = l + 149. Is m a composite number?
False
Suppose 82269 + 40572 = 9*g. Is g composite?
False
Suppose x - 114 + 17 = 0. Is x a prime number?
True
Let x(v) = -3*v**3 - 2*v**2 - 10*v + 7. Let a be x(-9). Is a*(-2 - -4)*3/6 a composite number?
True
Is 3*(-484187)/(-33)*1 composite?
False
Suppose 21*k - 29561 = -11102. Is k a composite number?
True
Suppose 16 - 8 = 2*m. Suppose m*b + 21 - 773 = 0. Suppose -2*t = -b - 128. Is t prime?
False
Suppose -11 - 4 = -5*a - n, 5*a - 4*n - 40 = 0. Suppose 3*z + 6 = d - 0, a*z + 8 = -d. Suppose d = 3*y - 2*i - 335, -4*i - 616 = -5*y - 57. Is y a prime number?
False
Let h(g) = g**3 + g**2 - g - 1. Let a = -7 + 6. Let w(y) = 10*y**3 + 6*y**2 - 5*y - 6. Let m(c) = a*w(c) + 6*h(c). Is m(-2) a composite number?
True
Suppose 30462 = 9*h - 7347. Is h prime?
True
Let n(a) = a**2 - a + 2. Let m be n(0). Is m - 6*(-4)/6 composite?
True
Suppose 2*j + 0*j - 182 = 5*m, -m - 3*j - 33 = 0. Let i be (-1)/(-2)*m/(-3). Let z(c) = c**3 - 2*c**2 + 5*c + 7. Is z(i) prime?
True
Let k(v) = 2*v - 3 + 33*v**2 - 2*v + v. Let g be k(3). Let h = g + -152. Is h a prime number?
False
Let f be 7/(2/2) - -4. Suppose 14*q - 102 = f*q. Is q a prime number?
False
Suppose -3*d + 6*d = -12. Let g(t) = -52*t**3 - 5*t**2 - t + 7. Let n be g(d). Is n/4 + 3/12 composite?
True
Suppose w = 4*c - 385137, -16*c - 3*w + 96268 = -15*c. Is c a composite number?
True
Let k(c) = 117*c**2 - 17*c + 15. Let a(o) = 59*o**2 - 9*o + 8. Let m(y) = -5*a(y) + 3*k(y). Is m(7) a prime number?
True
Let m(s) = 5*s**3 + 123*s**2 - 75*s - 65. Is m(38) composite?
True
Let q(g) = -513*g + 100. Is q(-27) a composite number?
True
Suppose -8*t + 85 = 37. Let c(k) be the first derivative of 13*k**3/3 + 5*k**2/2 + 4*k - 2. Is c(t) a prime number?
False
Suppose 0*p - 12 = 3*p. Let s be 6/2 - (4 + p). Suppose 2*l - 134 = -4*y, l - s*l + 167 = 5*y. Is y prime?
False
Let y(c) = 2 - 28*c - 113*c - 2*c. Is y(-3) composite?
False
Suppose 0 = -3*n + 9, -2*o - 4*n = -5*n - 1363. Is o a composite number?
False
Let y(h) = 14*h + 33. Suppose -3 = 10*c - 53. Is y(c) prime?
True
Let l(b) = 5*b. Let p be (-4)/(-4)*-4 - -21. Is l(p) a composite number?
True
Suppose 510 = 16*c - 11*c. Suppose 3*u - o = 285, 0 = u + 5*o - 3*o - c. Suppose -156 = -5*g + b, 3*g + 0*b = 3*b + u. Is g a prime number?
True
Suppose -14 = -4*v - l, 0*v - 4*v - 4*l = -8. Let c(x) = x**3 - 3*x**2 - 2*x - 5. Let r be c(v). Suppose -1374 = -r*y + 2805. Is y composite?
True
Let r(v) = -15*v**3 - 17*v + 8*v**2 - 5 - 28*v**2 - 5*v**3 + 4*v**3. Let s(z) = -5*z**3 - 7*z**2 - 6*z - 2. Let x(p) = 3*r(p) - 8*s(p). Is x(-6) a prime number?
False
Let n(k) = k + 1. Suppose -3*l - 3*g - 11 = 2*l, 0 = -5*l - 5*g - 15. Let r(u) = u**3 - 8*u**2 - u + 2. Let a(i) = l*r(i) + n(i). Is a(6) a composite number?
False
Is -11 + 14 - 11 - -17385 a prime number?
True
Let k be -21 + 1 - (-9 - -5). Let m be (6 - 2)/(k/(-12)). Suppose 5*n + 1142 = m*f, f - 3*n - 483 = -101. Is f prime?
True
Let d = -18 - -15. Let a(m) = m**3 + 5*m**2 + 5*m + 4. Is a(d) a composite number?
False
Let f be (-3 - -15)/2 + 0. Let h be f + 2/(-3 - -1). Suppose -h*v = 2*g - 643, 512 = 4*v + 2*g - g. Is v composite?
False
Let p = 1131 - -2975. Is p composite?
True
Suppose 10*y - 1128 = 8*y. Let j = y - -280. Is (27/18)/(6/j) composite?
False
Let d(w) = -4883*w + 39. Is d(-4) composite?
False
Let y = -18 - -22. Suppose -f + 4 = -y. Suppose -70 + f = -2*s. Is s a prime number?
True
Suppose -2*o - 35 = 3*o. Let v(n) = n**3 - n**2 - 15*n. Let a(d) = d**2 + d. Let f(j) = -5*a(j) - v(j). Is f(o) a composite number?
True
Suppose 5*l = -2*y + y - 46, 12 = 3*y. Let s(b) = -259*b - 47. Is s(l) a prime number?
True
Let k be (2 - 13)/(1/3)*1. Let y be 386/(-8) - (-2)/8. Let c = k - y. Is c a prime number?
False
Suppose 3*l - 797 = q, 12*q + 20 = 17*q. Is l composite?
True
Let x(r) = 10*r**2 - 38*r - 201. Is x(-35) prime?
False
Let u be -281110 - (0 - (-8)/4). Is u/(-247) + (-4)/38 composite?
True
Let a(o) = 445*o - 57. Let n(z) = 148*z - 19. Let g(v) = -2*a(v) + 7*n(v). Let p be g(9). Suppose y + 4*y = p. Is y a composite number?
True
Suppose -3*j + 6003 + 37653 = 0. Suppose 4*o = 3*m + j, 2*m = 2*o + 2*o - 9700. Is 51/34*m/(-6) a composite number?
False
Is (-38 - -34)*(-15734)/8 composite?
False
Let s(m) = -111*m - 6. Let f(x) = -1. Let k(l) = 5*f(l) - s(l). Let d be 0 + 5 + -1*3. Is k(d) a prime number?
True
Suppose 2*s - 3*g - 22432 = 77649, -5*s + 250150 = 3*g. Is s a composite number?
False
Suppose 0 = -4*g, g = 5*h + 583 - 118. Let k be (1 + h)/(14/28). Let v = k + 327. Is v a prime number?
False
Let z(q) = 2337*q - 43. Is z(6) composite?
True
Let l be -1 + -198*4/4. Suppose 3*r = -s + 939, 2*r - 4*s = 392 + 220. Let y = l + r. Is y prime?
True
Let i = 6025 + -4244. Is i prime?
False
Let x = 36 - 34. Let u = 15 + -12. Suppose x*c - 998 = -4*k, -c + 499 = 6*k - u*k. Is c prime?
True
Suppose 3*v = 6*v + 9. Let m(y) = -11*y**3 + y - 1. Is m(v) prime?
True
Suppose 19*h + 43187 = 187264. Is h prime?
True
Suppose -16 = 4*y, 4*q = 2*q - y + 4. Let x be (1/5 + 1)*(-5240)/(-24). Suppose -3*i - q*c = -i - x, -264 = -2*i - 5*c. Is i composite?
False
Suppose -3*h + 6*h = 3447. Is h composite?
True
Let s = -42 + 22. Is (1116 - s) + 4 + 1 prime?
False
Is 2*((-32)/160)/(2/(-20935)) prime?
False
Let p = 34977 + -20476. Is p composite?
True
Let g = 5347 - -12814. Suppose 20*p = 7*p + g. Is p a prime number?
False
Let d = -5669 - -13722. Is d a prime number?
True
Suppose -1762 = k - 2*f, -5*k + 2*f - 7*f - 8870 = 0. Let g = k - -2797. Is g prime?
False
Let v(g) = -3 + 6*g**2 - 2*g**2 - g - 3*g**2 + 0. Let d be v(3). Suppose -3155 = -5*k + 4*u, d*k + 5*u = -2*k + 3155. Is k a composite number?
False
Let k = 27025 + 2962. Is k prime?
False
Let z(p) = -2*p**3 - 11*p**2 + 7*p + 11. Let h be z(-6). Suppose -h*q + 0*q = -2675. Is q a composite number?
True
Let m = -14593 - -31760. Is m a composite number?
False
Suppose -3*u = -s - 0*s + 707, 3*s - u = 2105. Is s prime?
True
Suppose 3*x - 6 = -3*y, 5*x - 9 = 2*y + 1. Suppose -70*i = -78*i + 40. Suppose -2*h - 219 = -i*u, 4*u - x*h - 176 = -0*h. Is u a prime number?
True
Suppose -8*p = -320 - 3376. Let y = 949 - p. Is y composite?
False
Let s = -522 - -1011. Is s composite?
True
Suppose -2*p = 4*a - 8, -3*a + 2 = -2*a + 4*p. Let h(y) = 17*y**3 - 3*y**2 + y**a + 1 - 5*y**3 - 2*y. Is h(3) composite?
True
Let h(y) = -301*y - 1. Let c be h(-1). Suppose 158 = 2*a + 5*x, 0*a - 4*a - 2*x = -c. Is a prime?
False
Let c(z) = -z**3 + 9*z**2 + 12*z - 1. Let n(s) = s**2 - 5*s - 5. Let t be n(5). Let g = t - -15. Is c(g) a prime number?
True
Let c be 3/(5/((-30)/(-9))). Suppose 0 = m + 2*m + c*l + 29, 0 = -l + 5. Let w(d) = d**2 + 10*d - 14. Is w(m) prime?
False
Suppose -5*v - 25 = 0, -2*v - 17 = k + v. Is (k/8 - 1)/((-3)/204) a composite number?
True
Let r be (5 + -1)/(0 - -1) + 0. Suppose 0 = a - 4*p - 191, -r*p - 201 = -a - 2*p. Is a composite?
False
Let a(f) = -10*f - 1. Let v be a(-1). Suppose 0 = -4*y - 5*l + v, 3*l = -2*y + l + 4. Is -41*y*(2 - 5) a prime number?
False
Is (251/(-3))/(5/(-22 + 7)) a prime number?
True
Let w(n) = 6. Let g(k) = -k - 22. Let o(q) = 6*g(q) + 22*w(q). Let s be o(-6). Is s - (3 - (6 - 2)) a composite number?
False
Let k = 5119 - 3338. Is k prime?
False
Is 2 - (-11806)/(2 + -4 + 4) composite?
True
Suppose 5*o - 4*o = -14. Let m = o - -16. Suppose c - 759 = -4*s + m*c, 4*s + 2*c - 774 = 0. Is s prime?
True
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