e
Let i(c) = -c**2 + 3*c - 3. Let r be i(2). Is ((-106)/(-8))/(r/(-4)) a prime number?
True
Suppose 4*f + 2*i - 18 = 0, -2*f + i = -0*i - 7. Suppose 0 = 3*g + f*z - 1758, 2*g - 1751 + 579 = -4*z. Is g a composite number?
True
Let g(z) be the third derivative of 5*z**5/12 + z**4/24 + z**3/6 - z**2. Let w be (-3)/9*(1 - -2). Is g(w) prime?
False
Let z = 8 - 5. Suppose -703 = -3*i + 2*h, 2*i - 338 - 122 = -z*h. Is i composite?
False
Let w(g) = g**3 - 5*g**2 + 4*g + 4. Let v be w(4). Suppose 3*i - v = 2. Let q(a) = 10*a**3 + a**2 - 1. Is q(i) a composite number?
False
Is (-1 - -321) + 1 - 4 a composite number?
False
Is -1 + 960 + 144/(-36) prime?
False
Let k be ((-2)/6)/(2/(-30)). Let c be (-14)/4*-12*15. Suppose -35 = k*o - c. Is o composite?
True
Let t = -5 + 5. Suppose -i + 3*i + 10 = t. Is (-3 + 6)/((-1)/i) prime?
False
Is 3/(-6) - 499/(-2) a prime number?
False
Suppose 5*d + 1 + 4 = 0. Let c(s) = -4*s + 3*s + 3 + 44*s**2 - 4 + 30*s**2. Is c(d) composite?
True
Suppose 5*k = -20, -3*k - 238 = -2*i + 32. Suppose 4*c = i + 467. Is c a composite number?
False
Let h be (8/10)/((-4)/10). Suppose -7*n + 3 = -6*n. Is 2 + 165/n - h a prime number?
True
Suppose 2*i + 13 = h - 3*i, 7 = h - 3*i. Let r be ((-18)/(-10))/(h/(-10)). Suppose 9 = z - 3*d + 3, -z = -2*d - r. Is z composite?
True
Let z = -1 - -3. Let x(c) = -c**z - 3*c**3 + 2*c**3 - c - 4 + 5. Is x(-2) a prime number?
True
Let q be 3/(3/(-8)*-2). Suppose -2 = -q*z + 10. Suppose 0 = 4*k - 16, 5*g - 52 - 15 = -z*k. Is g composite?
False
Let m(z) = z**2 - 10*z + 12. Suppose 3*a + 0*q - 43 = q, -4*q = -4*a + 68. Is m(a) a composite number?
True
Let w(y) = -13*y - 9. Let k(x) = -49*x - 32. Let o(n) = -50*n - 33. Let d(g) = 3*k(g) - 4*o(g). Let i(f) = 2*d(f) + 9*w(f). Is i(-8) a prime number?
True
Is 446/3*27/18 a composite number?
False
Suppose -19*d + 4915 = -14*d. Is d a prime number?
True
Let k(p) = -2*p - 3. Let f be k(-3). Suppose f*y + 15 = 8*y. Is y a prime number?
True
Let h(u) = -u**3 + 9*u**2 + 2*u - 17. Let r be h(7). Suppose 9*o = 14*o - r. Is o a prime number?
True
Let h(n) = 371*n - 1. Let s be h(6). Suppose -2*i = 3*i - s. Is i composite?
True
Suppose -8 = -2*h - 0*h. Suppose h*p - 138 = p. Is p prime?
False
Suppose -3*w + 37 + 710 = 0. Is w a composite number?
True
Let u(n) = 251*n**2 - 2*n + 2. Is u(1) composite?
False
Let y be 2/7 - 10/(-14). Let v(k) = 68*k**3 + k**2. Is v(y) prime?
False
Let k = 205 + -112. Is k composite?
True
Let l(m) = -m**2 + 10*m - 1. Let d be l(8). Suppose 206 = v + d. Is v composite?
False
Let s(a) = a**2 - 11*a + 9. Is s(-14) composite?
False
Let d(n) = n**3 + 7*n**2 + 5*n + 1. Let p = 14 + -20. Is d(p) a prime number?
True
Let s = 1691 + -636. Is s composite?
True
Let p = 242 + -110. Let k = -19 + p. Is k prime?
True
Suppose -3*w - 289 + 988 = 0. Is w composite?
False
Let f = -1 - -4. Suppose -4*d + 5*k - k - 792 = 0, -787 = 4*d - f*k. Is (0 - 4) + 2 - d a prime number?
True
Is 447986/385 - 3*(-2)/(-10) a prime number?
True
Suppose -1528 = -6*x + 2*x. Is x prime?
False
Let z be ((-6)/9)/(1/(-3)). Suppose -3*u + z*g + 215 = -2*g, -377 = -5*u + 2*g. Is u a prime number?
False
Let i = -136 + 323. Is i prime?
False
Let h(g) = 8*g**2 - 10*g + 5. Is h(9) a prime number?
True
Let j(x) = 27*x + 4. Is j(5) prime?
True
Let i = 17 + 45. Let c = i + -33. Suppose 4*y + 1 = c. Is y a prime number?
True
Suppose 0 = -y - 2*h + 5289, -h - h + 10588 = 2*y. Is y composite?
True
Suppose 0 = -4*o - 0 + 8. Suppose -14 + 4 = -o*a. Suppose 3*q - a*u = 62 - 4, -u - 60 = -5*q. Is q a prime number?
True
Suppose 0 = -2*u + 1 + 7, c = -3*u + 12. Suppose c = 4*d - 3*d - 44. Suppose 0*h + d = 4*h. Is h prime?
True
Let x = -8 - -43. Is x a prime number?
False
Suppose 2*k + 658 = 2*i, 0 = 2*i - 0*i + 4*k - 670. Is i composite?
False
Let b(d) = d**3 - 4*d**2 + 5*d + 12. Is b(5) prime?
False
Let v(p) = p**2 - p - 1. Let g be v(3). Let d(t) = -4*t**2 - 4*t - 5. Let m be d(g). Is m/(-4) - 2/8 a composite number?
False
Suppose -4*r + 1 = -11. Suppose -l + r*l = -2*s - 4, 0 = -3*s + 3*l + 18. Is s prime?
True
Let i be 99/(-6)*(-8)/6. Is ((-77)/i)/((-2)/12) prime?
False
Suppose 4*v = v - 2*u + 633, -5*v + 1077 = -4*u. Is v a composite number?
True
Suppose -357 = -6*o + 849. Is o composite?
True
Let h = -12 + 0. Let j = -15 - -38. Let s = h + j. Is s composite?
False
Is 4786/3 + 12/(-9) composite?
True
Suppose -3*d - d - 2*w = 698, 886 = -5*d + 2*w. Let n = -81 - d. Let y = n - 60. Is y a composite number?
True
Let c = -545 + 1066. Is c a composite number?
False
Is (2 - 4)*94/(-2) prime?
False
Suppose 82 = u - 5*o, 7*o - 2*o = 10. Suppose 3*a - 19 = u. Is a a prime number?
True
Let h = -6 + 8. Suppose 27 - 71 = -h*d. Is d prime?
False
Let s(n) = n**2 - 6*n - 6. Let b be s(6). Let o be 162/(-24)*80/b. Let k = o + -37. Is k a composite number?
False
Suppose -231 = l - 4*l. Is l composite?
True
Suppose 3 = -5*c + 378. Is 74/(5/(c/6)) a composite number?
True
Suppose 6*q - 4 = -2*f + 5*q, -4*q = -f + 11. Let h = -6 + f. Let j(c) = -c**3 - 3*c**2 - 2*c + 1. Is j(h) prime?
True
Is ((-126)/12 + 5)/(1/(-22)) prime?
False
Let u(b) = -37*b**2 + 3. Let r be u(-3). Let k = 475 + r. Is k prime?
False
Let d(m) = -m**2 + 11*m + 4. Let y be 0 - -1 - (3 + -7). Is d(y) a composite number?
True
Let r(s) = -12*s**2 + s + 2. Let m be -3*((-24)/9 + 2). Let n(q) = 1. Let b(j) = m*n(j) - r(j). Is b(-1) prime?
True
Suppose 34 + 20 = 3*m. Let a = 13 - m. Let d = 36 + a. Is d composite?
False
Suppose 2*s = 5*l - 5225, 0 = -0*l - 2*l + s + 2091. Is l composite?
True
Let a = -897 + 2708. Is a prime?
True
Suppose o - 1 = 2*z - 4, -4*z + 34 = 2*o. Suppose -o = -2*c - 3. Is ((-19)/c)/(1/(-2)) a prime number?
True
Suppose 3 + 0 = g. Suppose -3*h + 3*u = -366, -5*h - 4*u = -g*h - 238. Is h composite?
True
Let f(o) = -o - 16. Let p be f(-16). Let y(v) be the second derivative of -v**4/12 - v**3/6 + 191*v**2/2 + v. Is y(p) a composite number?
False
Suppose 5*w - 11 - 5 = -4*s, 0 = -5*w - 5*s + 15. Suppose 0 = -2*v + i - 3*i + 32, -w*i = 5*v - 75. Is v prime?
True
Suppose -351 = -5*a + 644. Is a a composite number?
False
Let a(r) = -11*r**3 + 3*r**2 - 2*r. Suppose 2*z - 10 = 0, -4*n - 4*z + 22 = -3*n. Let h be a(n). Let f = 169 + h. Is f a composite number?
False
Suppose 5*f + 4*g = -92, 24 = -f + 4*g - 4. Let i = f - -14. Is (10/i)/((-2)/42) a composite number?
True
Suppose -4*h - 1260 = 2*g, 5*h + g - 3*g + 1557 = 0. Let v = -197 + 11. Let s = v - h. Is s composite?
False
Suppose 12595 = 4*g + 5*o, -4*o - 15795 = 3*g - 8*g. Is g a composite number?
True
Let d = -8 + 10. Suppose d = r - 0*r. Is r composite?
False
Let u be (0 + 0)/(0 + 1). Suppose -h - 4*c - 10 = 0, 2*c + u = -2*h - 2. Suppose 0 = h*w + w - 102. Is w composite?
True
Suppose 5 = 2*r - 13. Let s(b) = b**3 - 8*b**2 - 9*b + 5. Let d be s(r). Suppose 2*g = d*g - 6. Is g composite?
False
Let z(k) = 5*k**2 + 0*k**2 + 0 + 1 + k. Is z(2) composite?
False
Let j(u) = 15*u**2 - 4*u + 3. Is j(2) a composite number?
True
Let b(j) = 87*j**2 + 2*j - 6. Is b(7) a composite number?
False
Let z(v) = 16*v**2 - 11*v + 3. Is z(-4) a composite number?
True
Suppose 2*x = x. Suppose x = -4*f + n + 57 - 5, -5*f = -n - 66. Suppose f = 2*m - 12. Is m composite?
False
Let g(z) = 14*z + 1. Let f be g(2). Suppose -3*d = -5*y - f, 2*d + 7 = -5*y - 7. Suppose -3*u = 5*v - 109, -4*v + 7*u - d*u = -100. Is v a composite number?
False
Let a be 2*(-1 - (-18)/4). Let d be a/2 - (-9)/6. Suppose 0 = 3*r + 2*f - 49, -2 = r - 2*f - d. Is r a prime number?
True
Let p(k) = -16*k**2 + 16*k + 424. Let y(g) = 3*g**2 - 3*g - 85. Let l(f) = -2*p(f) - 11*y(f). Is l(0) a prime number?
False
Let o(p) = 32*p - 19. Is o(4) a prime number?
True
Let i be 28/10*(-4 - 1). Let n = i + 53. Is n composite?
True
Let y = -38 + 71. Is y composite?
True
Let d = 18 - 13. Let n(i) = -2*i**3 - i**2 + 8*i + 13. Let h(t) = t**3 + t**2 - 4*t - 7. Let s(r) = 11*h(r) + 6*n(r). Is s(d) composite?
True
Suppose 846 = 5*p + 291. Is p prime?
False
Suppose -8*u = -5*u - 573. Is u a composite number?
False
Is (1/2)/(2/2084) prime?
True
Let b = -198 - -141. Let a = b + 108. Suppose -w = -2 - a. Is w a composite number?
False
Let k(z) = -8*z**3 + z**2 + z. Let b be k(-1). Let l(m) be the third derivative of -m**5/60 + m**4/2 + 5*m**3/6 + 4*m