 1151*v - 7. Let f(p) = -7*b(p) - 5*u(p). Is f(j) a prime number?
True
Let b = -19652 + 42371. Is b a composite number?
True
Let f be (-788)/20 + 2/5 - -2. Let v = -34 - f. Suppose 887 = v*b + 4*n, 0*b + 1208 = 4*b - n. Is b composite?
True
Let j = 9145 + -7196. Is j a prime number?
True
Suppose -28*c = -24*c - 1624. Suppose -5*k - c = -6*k + 3*s, 4*s = 2*k - 802. Is k composite?
True
Suppose g - c + 5 = 0, -3 + 39 = -4*g - 4*c. Let o(x) = -676*x + 33. Is o(g) a composite number?
True
Let y(r) = 48*r**2 + 22*r - 67. Let c be -24*12/(-20) - 6/15. Is y(c) prime?
True
Let k(a) = 1003*a**3 - 6*a**2 + 2*a - 238. Is k(9) prime?
False
Let z(m) be the first derivative of -4191*m**2/2 + 10*m - 9. Is z(-1) a prime number?
True
Let q(x) = 825*x**3 + 4*x**2 - 3*x - 12. Let j be q(-3). Let z = j - -35480. Is z a composite number?
True
Suppose 5*f + 3*w = 12087 + 5910, -2*w - 18002 = -5*f. Suppose -v + 10792 = 3*b, -b + 2*v - 3*v + f = 0. Suppose -3*l = -b - 151. Is l composite?
False
Suppose 2*o + 91 = 83. Is (-6963)/(-4) - (1 + 5/o) a prime number?
True
Is 145511 + -3 + (-1)/2*2 composite?
True
Suppose 2*u - 6*u = -20. Suppose -2*j + 128 = u*i, 4*i - 3*i - 4*j - 8 = 0. Suppose -308 = -4*p - i. Is p composite?
False
Let c(s) = 2*s**3 - s**2 + 2*s - 1. Let r be c(1). Let z be (-2)/(10/(-1085)) - (r - 4). Suppose 6*i = z + 2055. Is i composite?
False
Let x(n) = 2*n + 8. Let a be x(-4). Suppose a = -l + 4*u + 42619, l - 2860 = -3*u + 39766. Is l a prime number?
False
Suppose -30 = 5*m + 285. Let v = 65 + m. Suppose 2*j + 4386 = 4*c, v*j + 1760 = 5*c - 3720. Is c prime?
False
Let u(x) = -3*x**3 - 6*x**2 + x + 355. Is u(-13) composite?
True
Let d(g) = -6230*g - 3389. Is d(-93) composite?
False
Let w(r) be the third derivative of 53*r**4/24 - r**3/6 - 5*r**2. Let n = -82 - -86. Is w(n) composite?
False
Let m(w) be the third derivative of w**6/120 + 7*w**5/30 - w**4/3 - 8*w**3/3 + 8*w**2 + 2*w. Let g be m(-12). Is (-10 + 0)/((-2)/g) + 1 composite?
True
Let p(w) = w - 2. Let q be p(-1). Let d be (1432 - (1 - 3)) + q. Let z = d + 2060. Is z a composite number?
False
Suppose 0 = 2*z - v - 2547, -z + 1296 = -3*v - 2*v. Suppose 3*m + 3*i - 2745 = 0, m + 5*i - z = -340. Is m composite?
False
Suppose -10*r + 49231 + 90516 = -14163. Is r a composite number?
False
Suppose -14*f - 40 = -236. Let s(a) = 3*a**2 - 10*a + 19. Is s(f) prime?
True
Let g(l) be the third derivative of l**6/120 + l**4/24 - 2*l**3/3 - 9*l**2. Let d be g(0). Is 142 - (-3 - (4 + d)) a composite number?
True
Suppose 286*r - 271*r - 180 = 0. Suppose 0 = -r*u + 3*u + 8361. Is u a prime number?
True
Let o(a) = a**3 - 6*a**2 + 5*a + 2. Let f be o(5). Let x be ((-28)/5)/(4 + 66/(-15)). Suppose f*v + 3828 = x*v. Is v a composite number?
True
Let m(b) = 1514*b**2 + 52*b + 1181. Is m(-17) a composite number?
True
Let h = -2436 - -2442. Suppose 10 = -w + 5*q, 5*w - 79 - 21 = -5*q. Is h/w + 309/15 a prime number?
False
Let q = 47856 + -21707. Is q a composite number?
True
Let d(r) = 6*r - 19. Let o be d(3). Is (-2739)/(-22)*(3 + o) prime?
False
Suppose -6*v = -v - 15. Suppose -5*x = 3*s - 32, -v*s + 4*s - 16 = -3*x. Suppose 3*m + x*k - 506 = 1005, -3*k = -m + 508. Is m a composite number?
True
Suppose 0 = -2*g + 4*i + 140, 4*g - 347 + 67 = i. Suppose -67*a + g*a = 22965. Is a prime?
False
Let q = 18200 + 103563. Is q a prime number?
True
Let r be ((-40)/100)/((-32)/10 - -3). Suppose 0 = n - 3*n + q + 14483, n - r*q = 7243. Is n a composite number?
True
Let w = 34 - 29. Suppose j - w = u - 1, -u = -4*j + 16. Suppose u = 5*f + 4*p - 2526 - 3233, 0 = -2*f - 2*p + 2304. Is f a composite number?
False
Let z = 3115247 + -2109654. Is z a composite number?
False
Let s be 9065/(-7) + 9/(1 - 4). Let z = s - -1883. Suppose 13*c = 4550 + z. Is c a prime number?
False
Let u(i) = 1532*i + 5579. Is u(12) prime?
False
Suppose 3*z - 956 = 2*t, -4*t - 2*z = -6*z + 1904. Let i = t - -915. Is i composite?
False
Let g = 38 - 16. Suppose -a - g = -10. Let m = a - -59. Is m a composite number?
False
Let j(f) = -7886*f - 941. Is j(-20) prime?
False
Suppose -325*a + 336*a = 2350766. Is a prime?
False
Suppose 3*w + 24 = 0, -p - 51*w + 84699 = -52*w. Is p a prime number?
True
Suppose 8*l + 2*v - 461 = 3*l, 4*v = 2*l - 170. Suppose -2*k + 53 + l = 0. Let d = 43 + k. Is d a prime number?
False
Let j(a) = 1650*a**2 + 425*a + 2497. Is j(-6) prime?
False
Let w = -30961 - -62730. Is w composite?
False
Let i(g) = -633*g + 4. Let c(y) = -1899*y + 10. Let x(l) = -19*l**3 - 2*l**2 - l - 1. Let a be x(-1). Let z(j) = a*i(j) - 6*c(j). Is z(1) a composite number?
False
Let w(l) = l**3 - l**2 + 127*l - 2788. Is w(33) a prime number?
True
Let w(n) = -8*n**2 - n**3 + 2*n + 30 + n**3 - n**3 - 34. Let q be w(-9). Let d = q + 494. Is d a composite number?
True
Is 233348/2 - (6 - -2 - (16 - 11)) prime?
False
Let m = 64 - 59. Let y be -2 + 15/m + -266. Let n = y - -476. Is n a prime number?
True
Let u = 118 + -115. Suppose 2*h + 274 = -l - 434, u*h + 704 = -l. Is (l/(-2 + 6))/(-1) a prime number?
True
Let g be (-12912)/(-9) + (-2)/3. Let b(i) = -295*i + 9. Let y be b(-7). Suppose -3*o = 2*j + 189 - g, -5*o + y = 3*j. Is o prime?
False
Is ((-14)/(280/211390))/(2/(-4)) prime?
True
Let n be (1 - 44/8)*-2. Suppose -t = n*t + 30. Is ((-2954)/t)/((-8)/(-12)) a composite number?
True
Is (1502/2253)/((-4)/(-493674) - 0) a prime number?
True
Let b = -2 + 2. Let x(n) = -3*n**3 - 7*n**2 - 43*n - 124. Let z be x(-9). Suppose -z = -b*a - a. Is a a prime number?
False
Suppose 4*s - 3*s = 4468. Suppose j = -3*b + 1496, j + 5*b = -2*j + s. Is j prime?
True
Let g(f) be the first derivative of -f**2 - 21*f + 20. Let j be g(-10). Is (-412)/j*(-15)/(-60) a composite number?
False
Let d(p) be the second derivative of p**4 + 5*p**3/6 - p**2/2 + 3*p - 2. Is d(-5) composite?
True
Let x(p) = -10*p**2 - 9*p - 4. Let f be x(-10). Let a(w) = 216*w**3 + 2*w - 7. Let b be a(2). Let y = b + f. Is y prime?
True
Suppose 5*s = s + 480. Let a = 217 - s. Let z = a + 34. Is z a composite number?
False
Suppose -4*o + 5*o + 3 = 0. Let f(t) = -5*t - 13. Let s be f(o). Suppose 3*u - 2*d - 5630 = -0*u, -s*d = -2*u + 3756. Is u prime?
False
Let g(t) = 667*t**2 + 32*t - 48. Is g(5) a composite number?
False
Let i = 411442 + -58763. Is i a prime number?
False
Suppose -7*t + 256171 + 1190190 = 0. Is t composite?
False
Suppose -h + 2*k = -3*k - 15011, 0 = k - 3. Suppose -15062 = -8*z + h. Is z a prime number?
True
Suppose 4*t + 5*b = 19000 - 1246, -13298 = -3*t + 5*b. Suppose -3*l + t = -l. Is l composite?
True
Suppose -22 = -5*x + 2*x - 5*l, -2*x + 5*l - 2 = 0. Suppose 0 = -3*j - 6, x*v - 2*j - 20038 = -3230. Is v a composite number?
False
Let n(u) = -54*u - 42. Let z be n(-12). Suppose -2*f = 0, 0 = 5*g - 2*f + 49 + z. Is (-7)/((-84)/18) - g/2 composite?
False
Let s = -20 - -10. Is 2/10 + ((-2108)/s)/1 prime?
True
Is (-9 - 0 - -11)/((-8)/(-68636)) composite?
False
Let f be 6 + -10 + -2 - -9. Suppose -3*s + f*n = -3135, -2*s + 2088 = -0*s - n. Is s a composite number?
True
Suppose 2*o + 3*o - 51 = -4*h, -3*o + 5*h = -1. Let n(w) = -17*w**2 + o*w + 5 - w - 3*w**3 + 16*w**2 + 2. Is n(-6) composite?
True
Let f be 3595/(-1) - (30 + -34). Let x = 6512 + f. Is x a composite number?
True
Let k(f) = -219*f - 94. Let t be k(-6). Let o = t + 1799. Is o a prime number?
True
Let j be (36/(-30))/((-274)/280 - -1). Let r be (-3855)/(-4) - 14/j. Let z = r - -925. Is z a prime number?
True
Let q be 2*-3*(12 + -13). Let t be (-193473)/(-36) - (1 + q/(-8)). Let y = t - 3117. Is y a composite number?
True
Suppose 5*u - w = 1074, 0 = -4*w - 15 - 1. Suppose -d + 240 = -u. Suppose 3*b - d - 185 = 0. Is b prime?
False
Let q = 87 - 97. Is (-52626)/q + (-26)/(-65) a prime number?
False
Let s be (-540222)/27 + 14/63. Let q = -11697 - s. Is q prime?
True
Let i be 10/40 + (-286)/(-8). Is (-26976)/(-30) - (i/(-20) + 2) a prime number?
False
Suppose -27*v - 61*v - 7538919 + 25152383 = 0. Is v a prime number?
True
Suppose 4*b - p - 4*p = -12, 14 = 5*b + p. Let k = 8172 + -8167. Suppose -b*f - 3*f = -c - 18600, k*c + 25 = 0. Is f a composite number?
False
Suppose -4*l = 3*p - 89230, -2*p - 10821 = -l + 11470. Is l a composite number?
False
Let r be -2 - (1 + (-12)/6). Is 1525/6 + r + (-88)/528 a composite number?
True
Let l(p) = 4