8/14)/((-12)/(-42)). Let f be (x - 0 - 1)*-5. Let q(i) = i**2 - 6. Is q(f) a prime number?
True
Let d(m) = -4*m + 12. Let i be d(8). Let j be (-10564)/i - 2/10. Suppose -j = -4*r - 148. Is r a composite number?
True
Let f = -4 + 9. Suppose 18 = f*g + 8. Suppose 0 = 3*i + m - 6, m + 3 = g*i + 2*m. Is i a composite number?
False
Suppose 0 = 3*i - 2*i - 11. Suppose x + i = 35. Suppose 2*t - x = 14. Is t composite?
False
Let z(u) = 54*u - 1. Let y be z(-5). Let d = -48 - y. Is d a prime number?
True
Let f be 744/84 - (-1)/7. Is (-12)/8*(-282)/f prime?
True
Suppose 0 = -0*h + 3*h + 2943. Is h/(-11) - (-6)/(-33) a prime number?
True
Let p = 410 + -227. Is p prime?
False
Let z = 5 - 2. Suppose -5*y = z*c - 0*y - 256, 2*c + 3*y = 169. Is c prime?
False
Let o(d) = 7*d**2 + d. Let p be o(1). Suppose 5*z + g = 16, g + p = -g. Let v(y) = 15*y - 1. Is v(z) a prime number?
True
Suppose -4*t = 6 - 14. Suppose t*s + 10 = -2*l - 0*l, 4*l = 5*s + 25. Suppose 9 = 2*b + b, l = d + 3*b - 62. Is d prime?
True
Let g(z) = -2*z**3 + 8*z**2 - 8*z + 35. Is g(-9) prime?
True
Let k(l) = 5 + 4*l - 25*l - 15*l - 1. Let y be k(-4). Suppose 2*c - y = -2*c. Is c a prime number?
True
Let t be 8/12 - 4/6. Suppose 0 = -s + 5*r + 21, -5*s + 3*s + 4*r + 24 = t. Is s prime?
False
Let z(r) = 2*r**2 + 3*r - 6. Let l be z(-7). Suppose -k + 14 + l = 0. Let b = 174 - k. Is b a prime number?
True
Let b(t) = -81*t + 16. Is b(-7) a composite number?
True
Let j(r) = r**3 - 9*r**2 - 16*r - 5. Is j(12) a prime number?
False
Let v = 2 - -7. Suppose -2*r - 3 = -4*x - 1, -3*r = -2*x - v. Suppose -2*u + 64 = x*t - 47, -5*u - 74 = -2*t. Is t prime?
True
Suppose 2*p - 732 = -2*n + 1110, -p + 2*n + 915 = 0. Is p composite?
False
Suppose 0 = a - 3*l - 13, -2*a + 5*l = -5*a + 67. Let d be -38*a*(-3)/6. Suppose f + d = 3*u, -3*u - 2*f - f = -345. Is u prime?
False
Let n(g) = 5*g**2 - 10*g - 19. Let r(p) be the third derivative of -7*p**5/30 + 5*p**4/4 + 28*p**3/3 + 2*p**2. Let s(k) = 17*n(k) + 6*r(k). Is s(-10) composite?
False
Suppose -3*x - 20 = -x. Let p be (1 - 1 - 20)*x. Let k = -121 + p. Is k a composite number?
False
Suppose -2*u = -58 - 32. Let n = 70 - u. Is n a composite number?
True
Suppose 2*a = -2*z - 16, -4*z = -2*z - 5*a + 30. Let b = z + 15. Suppose 0 = -2*w + b*w - 39. Is w composite?
False
Let i = -26 - -146. Is (2 - (2 + -1)) + i composite?
True
Let q = -31 + 384. Is q a prime number?
True
Suppose 0 + 9 = 3*c. Is ((-2)/c)/(4/(-186)) prime?
True
Suppose -2*h + 877 = -477. Is h a prime number?
True
Let a = 1392 + -652. Suppose -5*h = 2*t - 303, 10*t - 5*h - a = 5*t. Is t a composite number?
False
Let o = -27 - -9. Is (-1 + o)/(-1)*1 composite?
False
Suppose -2095 = -3*v - 94. Is v a composite number?
True
Let g(v) = -v**3 - 6*v**2 + 6*v. Let r be g(-7). Suppose 4*p = a + r, 2*a - 1 = 4*p - 3. Let h = p + 7. Is h a prime number?
False
Suppose -4*w = -w - 1749. Is w a composite number?
True
Let o(c) = -c + 11. Let j be o(8). Let w be 41/j + (-4)/6. Let h = w - -1. Is h a composite number?
True
Suppose -l + 0*m + 85 = -2*m, 3*l - 5*m - 252 = 0. Is l a prime number?
True
Let q(x) = -x**3 - 5*x**2 - 2*x - 1. Let i be q(-4). Let t be (-2)/9 - 358/9. Let d = i - t. Is d a composite number?
False
Suppose 2*g + 16380 = 4*h - 2*g, 4*h - 16368 = g. Is h a prime number?
True
Suppose i = 31 - 10. Let m = -2 + i. Is m a composite number?
False
Let z be 28/(-21)*18/(-1). Suppose -34 = -4*p - 2*u, 2 + z = 2*p + 4*u. Is p a prime number?
True
Let l(i) = -4 - 14*i + 9*i**3 - 5*i**2 - 9*i + 1. Let b(m) = 4*m**3 - 3*m**2 - 11*m - 2. Let x(g) = 7*b(g) - 3*l(g). Is x(8) prime?
True
Let j(a) = -17*a + 4. Is j(-7) a composite number?
True
Let l(q) = -4*q**2 - 3*q - q**3 + 0 - 2 - 5. Let i be l(-6). Let d = i - 57. Is d composite?
True
Let z = -17 + 17. Let y(r) = 33 - r + 4*r - 2*r. Is y(z) prime?
False
Suppose 6 = g + 2*g. Suppose -g*h = h - 78. Is h composite?
True
Let h be (2/(-4))/((-1)/(-270)). Is (2 - h/(-3))*-1 prime?
True
Let p(l) = 5*l**3 - 1. Suppose b = 3*t - 0*b - 6, 3*t + b = 0. Let i be p(t). Suppose -i*f = 3*r - 41, -f + 79 = 5*r + 3*f. Is r composite?
False
Let g be (2 + -2)/(3 + -4). Suppose 2*l - 134 = -g*l. Is l a prime number?
True
Suppose u - 609 = -128. Is u a prime number?
False
Let m = 732 - 425. Suppose -a + m = -0*a. Is a a prime number?
True
Let g(a) = a**3 + 23*a**2 + 13*a + 34. Is g(-15) composite?
True
Let n = 10 - -34. Let r = 81 - n. Is r composite?
False
Let c = 135 - -312. Is c composite?
True
Suppose 6 = -q - 4*y, 5*y = -2*q + 2*y - 2. Let v(b) = 5*b + 1. Let m be v(q). Is m - (1 + 1 + -1) prime?
False
Let z be (-48 - -5)*(-4 + 2). Let u = -55 + z. Is u a composite number?
False
Let z = 258 + 593. Is z a prime number?
False
Let f = 5 - 1. Is f/(-6)*(-2346)/4 a prime number?
False
Let r = 8266 - 5369. Is r composite?
False
Let z = 6338 - -1655. Is z composite?
False
Is 1425 + (-11)/(33/6) a prime number?
True
Suppose 2*u + 3*u = 40. Let s = u + -8. Is (-12)/(-6) - (-147 + s) a prime number?
True
Let r be (-1 - (-5)/(-2))*-40. Suppose r = 2*y - 974. Is y a composite number?
False
Let o = 8 - 5. Suppose -4*a - 12 = 2*m + m, 0 = o*a. Is 1/(-2) - 86/m prime?
False
Let p be (-3)/(12/(-8)) - -3. Suppose h + 456 = 4*m - 21, -p*m = -5*h - 600. Is m a composite number?
True
Let u(b) = -b**2 + 5*b - 3. Let k be u(4). Suppose 2*h + k = 3*h. Is (-3*h)/(2 - 3) composite?
False
Let r = -76 + 141. Suppose 5*g = 110 + r. Is g composite?
True
Let g(i) = i**2 - 12*i + 13. Let f be g(11). Suppose -f*w + 227 = 3*p, 2*p - 5*w + 2*w = 160. Is p prime?
False
Let a(c) = c**3 + 12*c**2 + 12*c + 16. Let t be a(-11). Is 2 + 1*t/1 prime?
True
Suppose 0 = p + 4*p. Suppose 2*n - 2*z - 2 = p, 7*n - 2*n + 13 = -z. Let v(g) = -8*g**3 - g**2 + 3*g + 1. Is v(n) a prime number?
False
Suppose -4*w - 5 + 32 = -3*y, -2*y + 2*w = 16. Let b be -22*(6/(-4) + 2). Is b*(0 + (y - -2)) prime?
False
Let g(f) be the second derivative of f**4/12 + f**3/6 + 17*f**2/2 + 2*f. Let h(s) = -3*s**2 - 3*s - 50. Let y(v) = -11*g(v) - 4*h(v). Is y(0) prime?
True
Let i(y) = -2*y + 1. Let l be i(-2). Suppose 31 = l*n - 119. Suppose -5*g + 2*g = -n. Is g composite?
True
Let w(n) = -73*n - 3. Let x(t) = 36*t + 1. Let v(k) = 3*w(k) + 5*x(k). Is v(-5) a prime number?
True
Suppose 5*w + 4*n - 403 = 0, -3*w + 2*n + 243 = 4*n. Is w composite?
False
Let a(w) = w**2 - 6*w + 2. Let d be a(4). Is 1225/21 + (-4)/d a prime number?
True
Let x = 1827 + -940. Is x composite?
False
Suppose g - 63 - 146 = 0. Is g composite?
True
Let r be (-7)/((-21)/60) + 2. Let c be 15/(-4) - (-9)/12. Let u = c + r. Is u a prime number?
True
Let p(m) = -6*m**2 - m - 1. Let r(k) = 12*k**2 + 3*k + 2. Let c(o) = -5*p(o) - 2*r(o). Is c(-6) prime?
True
Let g = 88 - 51. Is g composite?
False
Let b = -41 + 60. Let a = -12 + b. Is a prime?
True
Let i(a) be the first derivative of -a**4/4 + 8*a**3/3 - a**2/2 + 3*a + 2. Is i(6) composite?
True
Let j be 29/2 + (-1)/2. Let g(n) = n**2 - 2*n + 1. Let i be g(3). Let u = j - i. Is u composite?
True
Suppose -r = -5*a + 9, -5*r = 2*a - r - 8. Suppose a*y - 13 = 15. Is y a prime number?
False
Suppose 0 = 3*p - 2*p - 188. Let t(x) = 5*x**2 - 2*x + 1. Let a be t(-2). Let j = p - a. Is j prime?
True
Suppose -4*n + 3*j + 2963 = 0, -6 = -2*j - 0. Is n prime?
True
Let l(q) = -58*q - 3. Is l(-2) a prime number?
True
Suppose 2*l - t = 3697 - 1419, 0 = -2*l - t + 2270. Is l prime?
False
Let l be (-83)/((-9)/(-5) - 2). Suppose 0*g = -5*g + l. Is g a prime number?
True
Let x be (-6)/(((-2)/(-106))/1). Is (x/(-8))/(2/8) a composite number?
True
Let z be -1 + (1241 - 1) - -1. Let m(h) = h**2 + 10*h + 17. Let s be m(-9). Suppose 4*v + 3*j - z = 0, j = 3*j - s. Is v a prime number?
True
Let m = 409 - -78. Is m a composite number?
False
Let c(i) = 61*i**2 - 7*i - 13. Is c(-4) composite?
False
Suppose 3*m = -m. Suppose 5*h - 115 = -m*h. Is h prime?
True
Let d(f) = f**2 + 9*f + 5. Let t be d(-9). Suppose -3*q - 218 = -4*p, -4*p + 220 = -t*q + q. Is p a prime number?
True
Suppose 6*b + 4 = 2*b. Let c(m) = -m**2 - 3*m + 3. Let s be c(-4). Is ((-2 - s) + -48)/b a prime number?
False
Let x(s) = s**3 + 4*s**2 + 2*s - 2. Let g be x(-2). Let j = 10 + -8. Suppose 2*l - 34 = 2*c, -j*l - g*c - 21 = -63. Is l a prime number?
True
Suppose 5*g = 5*n + 15, 0*g + 3