
Suppose -5*u + u - 5*z = 9, 4*u = -2*z + 6. Suppose -5*t = 3*b + 864, -t + u*t + 4*b = -525. Let p = t + 254. Is p composite?
False
Let k(a) = -28*a**2 - 14*a + 18. Let g(b) = -29*b**2 - 15*b + 19. Let w(n) = 5*g(n) - 6*k(n). Is w(4) a prime number?
False
Suppose -3*d - 6*o = -5*o - 12608, 5*o + 12578 = 3*d. Is d a prime number?
True
Let z = -293 + 852. Is z a composite number?
True
Let s = 1241 + -668. Is s a prime number?
False
Suppose 9*o - 7734 = 6*o. Is o prime?
False
Suppose 2*s = 5*n - 2*n - 25, 3*s + 4*n = -29. Suppose 0 = -2*f + 155 - 59. Let v = f + s. Is v a composite number?
False
Suppose -1280 = 7*m + 1366. Let j = -13 - m. Is j prime?
False
Suppose s + 1634 = q, q - 5*s - 1636 = -2*s. Is q prime?
False
Suppose -6*t = -11 - 19. Suppose -t*c = -8119 + 3294. Is c composite?
True
Let w(v) = v**3 + 5*v**2 + v - 4. Let u be w(-4). Let k be (-1 + 1)/(u - 6). Let z(c) = -2*c + 139. Is z(k) a composite number?
False
Let d = -33 + 40. Is d/(-56) - 10546/(-16) composite?
False
Suppose 0 = 5*r - 0 - 25. Suppose 4*p + 34 - 3 = -3*w, 2*p + 5*w = -r. Let h = p - -33. Is h a composite number?
False
Let t(y) = -2*y. Let m be t(-1). Suppose m*p - 4*p = -6. Suppose 3*n - 5*a - 77 = 0, a = -p*n + 7 + 46. Is n a prime number?
True
Is (-63)/63 - (-1 + -614) a composite number?
True
Suppose -8*a + 3*a = 0. Let s be a*(-5)/20 - -5. Is (-2)/(3*s/(-2955)) prime?
False
Is -12 + (1 - -10) - -122003 prime?
False
Let p(t) be the first derivative of 3*t**3 + 2*t + 27. Is p(3) composite?
False
Let l(t) = 837*t**2 - 3*t - 7. Let i be l(-3). Suppose -1775 + i = 4*y. Let h = 2211 - y. Is h composite?
True
Let p(h) = -7*h - 5. Let y be p(-5). Suppose -5*l - 2*k + y = 0, -3*l + l = k - 13. Suppose -33 + 100 = 5*b + 2*u, -l*b - u = -53. Is b composite?
False
Let c be -23 + 20 + 7 + 0 + 0. Suppose x - c*z - 311 = 0, 5*x - 3*z = x + 1192. Is x a composite number?
True
Suppose 0 = 2*z + 3*z - 5. Is (z - (-7 + 2 + 3)) + 378 a prime number?
False
Suppose -2*p + 16 = -2*l, 4*l - 3*p + 191 - 163 = 0. Let z be ((-556)/3)/((-1)/3). Is (-8)/(-2) - z/l a prime number?
False
Suppose -5*i + 2 - 5 = -r, 5*r - 3*i + 73 = 0. Is (1 + -6)/(r/323) a prime number?
False
Suppose -l = -15 + 109. Let q = 55 - l. Is q a prime number?
True
Let g = 10 + -8. Suppose 3*p - g*s + 20 = -s, -s + 32 = -5*p. Let m = p + 25. Is m a composite number?
False
Let j(x) = 184*x - 19. Let s be j(7). Suppose 5*q = 3*b + 196 + s, -b = 0. Is q prime?
True
Let r be (0/(-6))/(2/1). Suppose r = -3*w + 5*m - 4*m + 3830, -4*m = -4. Is w prime?
True
Let y(a) = a. Let m(x) = 2*x**3 + x**2 - 3*x + 9. Let t(n) = -m(n) + 6*y(n). Is t(-10) a composite number?
False
Let f(z) = 37*z - 16 + 24*z - 16*z. Is f(11) a composite number?
False
Let i be (0 + (-22)/4)*-2. Suppose -3*n + 216 - 81 = 0. Let w = n - i. Is w a composite number?
True
Suppose 1 = -g - 3, a - 5*g - 24 = 0. Let w(s) = -s**2 + 9*s - 7. Let f be w(7). Suppose 0 = 2*j - f*j + 4*t + 549, 4*t - 432 = -a*j. Is j a composite number?
False
Let m be (-3)/21 + (-192)/(-21). Let x(b) be the third derivative of 3*b**4/4 - 13*b**3/6 - b**2. Is x(m) prime?
True
Let c(p) = 238*p**3 - 4*p**2 + 3*p + 3. Let h(y) = y**3 - 6*y**2 - 8*y + 9. Let n be h(7). Is c(n) a prime number?
False
Let a(r) = 346*r**2 - 4*r + 23. Is a(10) a prime number?
True
Let f = -21 - -15. Let o be (-2)/(f/15 - 0). Suppose q - 2*q - 3*d = -220, 4*q - 897 = o*d. Is q a composite number?
False
Is (1063 - 2)/((-1 - -2) + 0) prime?
True
Let i = 22060 + 34. Is i prime?
False
Suppose 6*z + 800 = z. Let g = 453 + z. Is g a composite number?
False
Suppose -15*u + 1253659 - 180754 = 0. Is u prime?
True
Let w(n) = -n + 13. Let r be w(5). Suppose u + r = -4*q - 7, 0 = -3*q - u - 11. Is 6/q*(-98)/3 composite?
True
Let b(y) = -3*y**3 - 28*y**2 + 8*y + 6. Suppose -75 = -9*x - 192. Is b(x) a composite number?
True
Suppose 9*a - 13*a = 0. Let x(i) = 4*i + 1087. Is x(a) a prime number?
True
Let u = -10 - 50. Is (-44350)/u + 2/(-12) prime?
True
Let a(u) = 872*u**2 + 2*u - 3. Let o = -21 - -22. Is a(o) prime?
False
Suppose -4*u + 26 = -5*q, 0 = q + 3*q + 2*u. Is 1146 - (2/(3 + -5) + q) a composite number?
True
Let f = 122 - -214. Let r = f + -540. Let n = -146 - r. Is n a composite number?
True
Is (2/(-6))/(38/(-1723110)) prime?
False
Suppose 7*i - 13150 - 7108 = 0. Is i composite?
True
Let p(n) = 0 - 2 - 3 + 2 - 3*n**2. Let y be p(-3). Let z = y - -107. Is z prime?
False
Let z(l) = -2*l - 2. Let u be z(0). Let x be (1 + u)/((-2)/6). Is ((-3340)/(-15))/(2/x) composite?
True
Suppose 66172 = -34*m + 275510. Is m a prime number?
False
Suppose -z = -3*m - 517 + 12549, 0 = -5*z - 25. Is m composite?
True
Is (-1)/(-11) - 23616/(-132) composite?
False
Let k(l) = -l**3 - 9*l**2 - 7*l + 12. Let j(y) = -y**2 + y - 11. Let g be j(0). Is k(g) a composite number?
False
Suppose -d - 2 = d - g, 5*d - g = -2. Suppose -4*v + 5*s + 126 = d, 2*v - 21 = 2*s + 41. Let h = 8 + v. Is h composite?
False
Let y = -66 - -68. Is ((-493)/(-34))/(y/68) composite?
True
Suppose -6*p + 4*p + 18 = 0. Suppose 0 = 5*x + 4*y - 3410, 4*y + 673 = x - p. Suppose -3*m - s + x = -0*s, 3*s = -4*m + 916. Is m prime?
False
Let l = -26 + 29. Is 7204/6 + 1/l composite?
False
Let t be 8 + -9 - (-2758 - -2). Let c = t - 602. Is c a prime number?
True
Let q(y) be the first derivative of 53/3*y**3 + 11 + 1/2*y**2 - y. Is q(2) composite?
True
Let o(f) be the second derivative of 3*f**5/10 - f**4/12 + 5*f**3/6 - f**2 - 7*f. Is o(3) composite?
True
Let s = 28086 + 6937. Is s a composite number?
False
Let o(v) = 507*v - 2. Let g be -5*(-6)/15 + -1. Let k be o(g). Suppose 11 = 4*p - 1, 4*u - p - k = 0. Is u composite?
False
Let f(l) = -l**2 + 7*l - 4. Suppose -2*i + 4*s - 48 = -6*i, -2*s = -3*i + 11. Let a be f(i). Is -1 - a - 5 - -289 a composite number?
True
Let y = 44 + -85. Let q = 88 + y. Is q a prime number?
True
Let f be (1 + 0)*-13 - -2. Let u be 0 - (f - -1)/(-2). Let z(i) = -2*i**3 - 8*i**2 - 5*i + 2. Is z(u) composite?
True
Let t = -2285 - -8022. Is t prime?
True
Let p be -3*1/(-9)*3. Let r be (-75)/p*(-1 - -2). Let y = 160 + r. Is y a composite number?
True
Suppose -18 = -3*k - 3*y + 6*y, 5*y = -5*k. Suppose -k*x + 1893 = -156. Is x a composite number?
False
Suppose -3*h = -8760 - 3747. Is h composite?
True
Suppose 0 = -0*i + 5*i - 15. Suppose 4*m = -i*q + 392 + 653, 4*m - 1027 = 3*q. Let t = m + -128. Is t prime?
True
Let u = 74240 - 45159. Is u a prime number?
False
Let c be 4/(-5)*28665/(-26). Suppose k - 3*p - 13 - c = 0, -4*k + 3564 = -4*p. Is k composite?
True
Let s be 24/16*(2 + 0). Suppose 415 + 2486 = s*x. Suppose -3*h - 3*l = -350 - x, 1740 = 4*h - 4*l. Is h prime?
False
Suppose 2*d - 3*d = -1623. Let y = 154 + d. Is y prime?
True
Suppose 5*y - 24333 = -q, 4*q - 65 = y - 4940. Is y prime?
False
Let m(r) = r**3 - 37*r**2 + 19*r + 73. Is m(40) composite?
True
Let n be (-472095)/(-273) - 4/14. Suppose -n = -g + 1578. Is g a prime number?
True
Suppose 3*v - 140 = -v. Is 18474/10 + 126/v + -4 a prime number?
True
Is 18/(-12) - 22263/(-6) a prime number?
True
Let r(d) = -d**3 - 4*d**2 - d + 3. Let n be r(-4). Let k(w) = 1159*w + 28. Is k(n) composite?
True
Let b = 240 - -911. Is b a prime number?
True
Let z = 70352 + -44383. Is z a prime number?
True
Suppose -3286 = -4*r + 910. Let w = -136 + r. Is w composite?
True
Let u(s) be the first derivative of -s**4/24 + 395*s**3/6 - s**2/2 - 5. Let y(c) be the second derivative of u(c). Is y(0) prime?
False
Suppose 2*w - 4 = 2*t - 6, -w = -3. Suppose -2*n - 206 = -g - 52, 588 = t*g - n. Suppose -426 = -4*f + 3*k - 79, 2*f + 4*k - g = 0. Is f a composite number?
False
Suppose 0*z = -4*z + 84. Let p = -16 + z. Suppose -112 + 7 = -p*x. Is x prime?
False
Let g be 3460/16 + (-9)/(-12). Suppose -7*j + g = 35. Is j a composite number?
True
Let x = 3173 - 1966. Is x a prime number?
False
Let o(g) = 4*g - 60. Let t be o(15). Is (t + -472)/(-2) - (-3)/(-1) a composite number?
False
Suppose -11*y = -13*y - 2, 3*n - 174419 = 2*y. Is n prime?
False
Let w = 1638 + -659. Let h = w - 492. Is h composite?
False
Let u be 8/(-6)*12/8. Let r = 1 + u. Let f = r + 8. Is f prime?
True
Is 7863 + 0 - (6 + -1 - 3) a composite number?
True
Let o be 1/1 - 7/((-56)/16). Suppose -2*b - b = -4*c - 16709, -3*b - o*c = -16695. Is b a composite