e
Let k(l) = -23*l - 9. Is k(-4) a composite number?
False
Let p be (6*1)/((-12)/(-114)). Let s = p + -25. Is (-1)/(-2)*(-4 + s) composite?
True
Let g be ((-567)/(-6))/7*-2. Let r = 8 - g. Is r a composite number?
True
Is 10554/(-9)*(-3 + 15/10) a composite number?
False
Let v be 2316/9 + 3/(-9). Let q = -154 + v. Is q a composite number?
False
Let z be (-53)/(0 - (-1)/(-3)). Suppose -z = u - 4*u. Is u a prime number?
True
Suppose 8*z - 4*z - 12 = 0. Is z*(-1 - (-1 - 7)) a prime number?
False
Let r(s) = -4*s + 4. Let c be r(-5). Let f be (-66)/c + 1/(-4). Is -19*(1 + f + 1) a composite number?
False
Let a(p) = p**2 + 3*p - 2. Let q be a(-5). Suppose -q*o = -4*o - 596. Is o prime?
True
Let q(f) = -f**2 + 8*f - 3. Let r be q(8). Let c = 52 - r. Is c prime?
False
Let v(b) = -b - 2. Let r be v(-1). Let m be ((-5)/(-2))/(2/(-4)). Is (-32)/r + (-4 - m) a composite number?
True
Suppose 0*w + 5 = -w, 5*w + 17 = -4*c. Is 90 - (c + (0 - 1)) composite?
False
Suppose 3*k + k - 12 = 0. Let z be 49 - (2 - (4 - 1)). Suppose 8*f = k*f + z. Is f a composite number?
True
Suppose -3*h = -5*i - 1772, 3*h = 2*h + 3*i + 592. Is h prime?
False
Is (6/2 - (2 + 90))*-53 prime?
False
Let z = 220 + -46. Suppose z = 3*u - u. Is u a composite number?
True
Let t(b) = -8*b + 1 + 2*b - 12*b. Is t(-5) composite?
True
Suppose 15 = -0*j + 5*j. Suppose 2*s = -j*d + 473, s + 454 + 173 = 4*d. Is d composite?
False
Let a = 5 + -1. Let u = 2 - a. Is ((-2)/u)/((-1)/(-9)) a composite number?
True
Let a(f) be the third derivative of f**6/10 - f**3/6 + f**2. Let o be a(1). Suppose 0 = i - 8 - o. Is i a composite number?
False
Suppose 6*f - a - 6 = 4*f, f = -4*a + 21. Suppose -4 = -0*l - 2*l + d, 3*d = -f*l + 32. Suppose 4*n = -5*b + 230, l*n + 0*b - 224 = -2*b. Is n a prime number?
False
Suppose -4*a - 65 = -2*h - 3*h, -4*h = 2*a. Let z be ((-2)/(-4))/(2 + (-28)/16). Is (-618)/a - z/(-10) composite?
True
Let g(d) = -d**2 - d + 1. Let y be g(0). Let u be (-1 - (-5 - -1))*y. Suppose 0*f = u*f - 57. Is f a prime number?
True
Suppose j = 2*s - 4 + 1, -2*s + 2*j + 2 = 0. Suppose -i + s*i = 9. Is 6 - i/3 - -16 a composite number?
False
Let z = 934 - 57. Is z prime?
True
Let j(z) = -z**3 + 5*z**2 + 3*z - 4. Let v be j(5). Let n = 17 - v. Let k(y) = y**3 - 5*y**2 + 3*y - 1. Is k(n) composite?
False
Let b = -9 - -12. Suppose 0 = b*k + 2*y - 115, k = -y + 2*y + 30. Is k prime?
False
Let x = -156 - -110. Suppose 0 = 4*g - 5*m + 3 + 18, 4*g + 4*m + 48 = 0. Let p = g - x. Is p composite?
False
Let h(p) = -4 + 8*p + p**2 - 8*p + 9*p. Is h(-18) a composite number?
True
Suppose 2*z + 4 = 2*u, -5*z - 10 = -2*u + 4*u. Suppose 4*h - 115 - 401 = u. Is h a prime number?
False
Let x = -2 + 5. Suppose -6 + 0 = x*h. Is 223 - (2/h - -1) a composite number?
False
Let c = -14 + 12. Is (-3 + 31/(-2))*c composite?
False
Let h = -304 - -189. Let b be -1*(-34 + 3)*-2. Let f = b - h. Is f prime?
True
Suppose -3 = -0*r - 3*r. Is (89/r)/(-1)*-1 prime?
True
Let h(w) = 20*w - 1. Let c be h(8). Suppose -2*o - o = -c. Is o a prime number?
True
Is (1 - 3)/((-1)/3) a prime number?
False
Let s = -2 - -4. Suppose -s*p = -83 - 33. Suppose 2*o = 168 - p. Is o a prime number?
False
Let l be 1 + 1 + (-5)/5. Is l/(2 - 314/158) prime?
True
Suppose 2*j = -2*i + 876, j - 73 = 4*i + 360. Is j prime?
False
Let i = -32 - -138. Let y = -47 + i. Is y a composite number?
False
Let u be 250/(((-16)/(-12))/2). Let c = u - 264. Is c prime?
False
Let i(h) be the first derivative of -19*h**4/12 - h**3/6 + h**2/2 + 3. Let n(o) be the second derivative of i(o). Is n(-1) a prime number?
True
Let m(j) = j**2 + 7*j + 3. Let b be m(-3). Is b/(-21) + (-144)/(-7) prime?
False
Suppose -4*d - 5*x + 1392 = -3287, 2*d - 2345 = 3*x. Is d composite?
False
Suppose 5*y - 4*c = 5019, -3*c + 698 - 5721 = -5*y. Is y prime?
False
Suppose 4*w + 94 = 330. Is w prime?
True
Let n be -3 + (-669)/9*-3. Suppose o = -5*z + 55, -z - n = -3*o - o. Is o a prime number?
False
Suppose -3*g + 15 = -6*g, 2517 = 2*q + g. Is q prime?
False
Is (4 - 6) + 2 + 437 a composite number?
True
Let a(d) = -8*d**3 + 5*d**2 - 4*d - 5. Let c(l) = 7*l**3 - 4*l**2 + 3*l + 4. Let z(j) = 5*a(j) + 6*c(j). Let k be z(2). Let x = 7 + k. Is x composite?
True
Suppose -4*a = -5*a + 8. Let t(p) be the third derivative of p**5/60 - p**4/8 - p**3/2 + 2*p**2. Is t(a) a prime number?
True
Suppose 0 = q - 3*q + 4*a + 334, 3*q + 2*a - 509 = 0. Is q prime?
False
Let z(p) = -p**2 - 14*p. Let f be z(-8). Let s = -142 - -204. Suppose 3*g + 2*a = s, -5*g - 5*a + f = -52. Is g prime?
False
Let d = 178 - 59. Is d a prime number?
False
Let m(b) = -b**2 + b - 1. Let i(g) = 8*g**2 + 19*g - 31. Let f(x) = 3*x**2 + 6*x - 10. Let j(o) = 7*f(o) - 2*i(o). Let d(n) = j(n) - 4*m(n). Is d(-3) prime?
False
Let o(d) = d**2 - d + 1. Is o(-5) prime?
True
Let t be ((-1)/2)/((-1)/6). Suppose t*k = 3*o - 453, 0 = -3*o + 4*k - 0*k + 455. Is o a prime number?
True
Is (-183)/(-6)*4 + -1 composite?
True
Suppose -4029 = 17*m - 20*m. Is m prime?
False
Let x(k) = -34*k + 45. Is x(-13) prime?
True
Let d be (-1)/(-3 + 2)*3. Suppose -g + d = 0, -120 = -0*j - 5*j - 5*g. Suppose 0*c = -3*c + j. Is c a composite number?
False
Is (-580)/40*(0 + 0 - 6) a prime number?
False
Suppose 4*p - 196 = -4*o, 3*p = -4*o - 0*o + 193. Is o composite?
True
Suppose 8*w - 1623 = 5*w. Is w composite?
False
Suppose -2*k - 24 = -4*p, 0 = -k - 4*k - 20. Let z = -137 - -230. Suppose a = p*a - z. Is a composite?
False
Suppose -a = 4*a + 480. Let g = a - -331. Is g composite?
True
Suppose -75 = -3*a + 786. Is a prime?
False
Suppose -240 - 108 = -3*q. Suppose -3*n + 3*l + 97 = -62, 2*n + 3*l = q. Is n composite?
True
Let w = -20 + 21. Let x(j) = 292*j - 1. Is x(w) a prime number?
False
Suppose -6 + 27 = 7*g. Is (7/g)/(2/942) composite?
True
Let l = -3 + 8. Let c = 7 - l. Is c composite?
False
Suppose -4*z + 0*z = -24. Suppose 0*d - 16 = d. Is (1 + d)*(-22)/z composite?
True
Suppose 2*b + 354 = 1336. Is b a composite number?
False
Suppose -5*f = -0*f. Is -4 + (7 + f)*101 prime?
False
Let k(h) = 11*h - 11. Let s(j) = -12*j + 10. Let w(i) = -3*k(i) - 2*s(i). Is w(-6) a composite number?
False
Let p(b) = 271*b**2 - 2*b. Is p(1) a prime number?
True
Suppose -3*v + 0 = -3. Suppose v = -n + 3. Let q(h) = 7*h**3 - h**2 + 2*h - 1. Is q(n) a composite number?
True
Let q = -3 + 6. Suppose q*n - 5*f - 107 = 14, 4*n - f - 150 = 0. Is n prime?
True
Suppose -3 = -u - 1. Suppose 0 = -n - u + 4. Suppose 2*q + 4*o - 42 = 2*o, -n*q + 48 = 5*o. Is q a composite number?
False
Let g(h) = -141*h - 3. Let d be g(-4). Let i = d + -322. Suppose -4*m = -i - 45. Is m prime?
True
Let a = 4 - -1. Suppose -138 = -3*d + 3*b, d + a*b + 6 = 34. Is d a composite number?
False
Let q(w) be the second derivative of -7*w**3/6 - 5*w**2/2 + 4*w. Is q(-4) prime?
True
Suppose 0 = w - 0*w - 4. Suppose -w*y - 16 = -4. Is (y/(-9))/((-1)/(-117)) a composite number?
True
Suppose -5*f - 4*r + 6219 = 0, 0*f - 4*r = -5*f + 6211. Is f a prime number?
False
Suppose 3*j + 116 = 365. Let z be (3 - 13)/(4/8 - 1). Suppose 3*d = -z + j. Is d prime?
False
Let x be (-6)/(-8)*1*212. Suppose -d + 5*k = -x, d + 2*k - 45 = 100. Is d a composite number?
False
Let p(c) = -15*c + 19. Is p(-12) a composite number?
False
Let p be (-15)/(-20) - 5506/(-8). Suppose -2*g - p = -s, 5*s - 5*g - 915 = 2505. Is s a composite number?
True
Let v(t) = -5*t + 1. Let z be v(-3). Let l = z - -6. Suppose 5*s - l = 43. Is s a prime number?
True
Suppose -2*n - 144 = n - 3*x, -200 = 4*n + 4*x. Is 2*n*(-6)/12 a composite number?
True
Suppose 0*i + 74 = i. Is i prime?
False
Let t = 208 - -645. Is t a prime number?
True
Let x(p) = p**3 - 8*p**2 + 5*p - 7. Is x(9) a prime number?
False
Let o = -2 + 6. Suppose 5*g = -3*c + 7 + 1, 5*c = -4*g - o. Suppose -g*r + 131 = -5*u, 3*u + 0*u = -3*r + 105. Is r a prime number?
False
Let h(x) = x**3 - 16*x**2 + 20*x + 14. Is h(15) a composite number?
False
Suppose -6 = -3*i, t + 3*i - 22 = -i. Let g = t + -59. Let p = g - -64. Is p prime?
True
Suppose 167 = 2*a - 147. Is a a prime number?
True
Is 2 - 0 - (0 - 560) a composite number?
True
Suppose 5*o = p + 21, -2*o - 1 = -5*p + 9. Suppose -10 = p*n + n. Is (0 - -1)*-5*n a prime number?
False
Suppose -19 = -y - 4*c, -5*y - c = -5*c + 1. Suppose 764 = y*w + w. Is w prime?
T