 2 - 3*n**2 - 3*n + t*n**2 + 13*n. Is w(-7) prime?
True
Let c(m) = m**3 - 3*m**2 - 6*m - 5. Let x be c(5). Is (10/x)/((-4)/(-894)) prime?
True
Let p be (-10)/2 + -1 + 1. Let g(f) = -f + 1. Let q be g(p). Suppose q + 47 = h. Is h a prime number?
True
Let w(b) = -b**3 + 4*b**2 + b - 2. Let n be w(4). Is n/(2 - 528/267) prime?
True
Let h = -142 - -309. Is h composite?
False
Suppose -3*i + 117 = 12. Is i a composite number?
True
Let a be -1*(-3)/((-3)/10). Let p be 2 - 1 - 2 - a. Let h = p + 13. Is h prime?
False
Let u(m) = m**3 + 14*m**2 + 9*m - 17. Is u(-13) a composite number?
True
Suppose 0*w + 4*w = 0. Suppose 5*v = -w*v + 255. Is v a composite number?
True
Let g be (1 - 1) + (-67)/1. Let k = g - -101. Is k composite?
True
Is (-38)/14 - -3 - 6702/(-14) a prime number?
True
Suppose -2*m - 1272 = -4*m + 2*w, -3*w = -4*m + 2539. Is m a prime number?
True
Let r be (-1)/(-4) - 1/4. Suppose r*a - 12 = 4*a, -5*q = -4*a - 437. Is q a composite number?
True
Suppose -a + 6*a + 5 = 0. Is -1*58*a - 0 prime?
False
Let n(i) = -103*i + 2. Is n(-5) composite?
True
Suppose 0*z + 5*z - 10 = 0. Let c(m) = 3*m + 2 + 2*m**2 - 1 + z - 5. Is c(3) a composite number?
True
Let w(c) = -c**2 - 2*c - 1. Let v be w(-9). Let d = 123 + v. Is d a composite number?
False
Suppose -3*f - 1284 = -4*c - 6*f, 2*c = -f + 642. Let a = -229 + c. Is ((-5)/10)/((-2)/a) a composite number?
False
Suppose -10 = n + 16. Suppose -4*q = 37 + 15. Let a = q - n. Is a composite?
False
Suppose 0 = -a + 68 + 131. Let m = a + -280. Let d = 134 + m. Is d prime?
True
Let z be (-3 - 0) + (-1058)/(-1). Suppose -3*u - z = -5*j + 2*u, 0 = u. Is j prime?
True
Let g(z) = -z**3 + 6*z**2 + 5*z + 10. Let b be g(7). Suppose -2*p = m, 0 = 4*m - 7*m + 4*p - 20. Is (158/b)/(2/m) prime?
True
Let h be (-2 - 0) + 3 + 36. Let t = h - 76. Let x = -4 - t. Is x a composite number?
True
Let h(f) = f**3 + 19*f**2 + 19*f - 17. Is h(-16) a composite number?
True
Suppose -f = -4*h - 4 + 7, 2*f + 4*h = -6. Is 2/f + 879/9 a composite number?
False
Let w(j) = j**2 - 6*j - 9. Let q be w(7). Is 0 + q + 152 - 1 a prime number?
True
Let o(h) = -29 - 33*h**2 + 3*h + 29. Let d be o(2). Let a = d - -317. Is a composite?
False
Suppose -2*q = -4*o - o + 9, 2*q + o + 3 = 0. Is 61 + (-1)/((-1)/q) prime?
True
Let t(p) = -p**2 - 11*p + 4. Let h be t(-8). Suppose -4*v = -4*q + h, -3*q + 1 = -v + 2*v. Suppose q*g - 46 = g. Is g prime?
False
Suppose 0 = 4*d + 156 - 520. Is d prime?
False
Suppose 0 = 3*o + 5*z - 0*z - 93, 0 = 5*o + 2*z - 155. Is o composite?
False
Is (-1)/(0 + 3/(-897)) composite?
True
Let s(o) = o**3 + o + 33. Suppose 1 = w - 1. Suppose 6*a = w*a. Is s(a) a composite number?
True
Suppose 0 = 4*w - 7*w + 381. Is w a prime number?
True
Let q = -12 - -20. Suppose q*k - 4*k = 308. Is k a prime number?
False
Is 10/(-3)*639/(-6) prime?
False
Let u(l) = -l**3 - 8*l**2 + 12*l + 15. Let f be u(-10). Let w = 162 - f. Is w prime?
True
Suppose 108 + 291 = 3*x. Is x composite?
True
Let u(r) = 73*r**3 - 5*r**2 - 4*r - 3. Let z(f) = f**3 + f**2 + f + 1. Let h(o) = -u(o) - 3*z(o). Let q be (0 + 1)*1/(-1). Is h(q) prime?
False
Let w(d) be the third derivative of 5*d**6/12 + d**4/24 - d**2. Is w(1) a composite number?
True
Suppose -11 + 51 = 4*x. Suppose -15*z + 485 = -x*z. Is z composite?
False
Let f(d) = 6*d**2 - 3*d - 4. Let s be f(-5). Suppose 0 = -t - 3*c + 164, 5*t - s = c + 579. Is t a composite number?
False
Let c = -521 - -900. Is c a composite number?
False
Let f(x) = 5*x + 0*x - 3 + 7. Is f(6) prime?
False
Let k(p) = -52*p - 22. Let x(z) = 65*z + 35. Let u(t) = 32*t + 17. Let v(j) = -13*u(j) + 6*x(j). Let c(b) = 2*k(b) - 5*v(b). Is c(8) a composite number?
True
Let m(p) = -10*p**3 + p**2 - 3*p - 1. Is m(-2) composite?
False
Suppose -2*i + 1784 = -0*a - 2*a, 2*i = -a + 1775. Is i prime?
False
Suppose -5*s - 5*z + 2 = -3, z - 13 = -4*s. Suppose -s*w - 8 = 4*u, 0*w = -4*u - 5*w - 12. Suppose -u*j - j + 267 = 0. Is j composite?
False
Let r = 3 + 1. Is 222/r*2/3 composite?
False
Suppose 4*f - 2*f = 962. Is f composite?
True
Let u be (-4)/5*(-15)/6. Let k be (1 + (u - 3))*1. Is k + (-2)/3*-21 composite?
True
Suppose -5*i + 4*i + 3 = 0. Suppose -5*y = -3*w - 842, 5*w = i*y + 2*y - 840. Is y prime?
False
Suppose 3*s = 1984 + 47. Is s a prime number?
True
Let q be (2 - 0) + 1 - -12. Let i = 0 + q. Is i a prime number?
False
Suppose 3*h - 8 - 4 = 0. Suppose w - 5*w = h*g - 196, -w = 2*g - 45. Is w composite?
False
Let y = 1 + 664. Suppose 4*m = 51 + y. Is m composite?
False
Suppose -l = -3*l - 54. Let f be 4/(-18) - 6/l. Suppose d - 59 = 2*o, 3*o + f*o = 2*d - 116. Is d prime?
False
Let q = 76 - 29. Suppose q = m - 30. Is m prime?
False
Let a = 297 + -170. Is a a prime number?
True
Let j = 582 - -700. Suppose 2*q - 4*q + j = 0. Is q prime?
True
Suppose 0 = -2*v - 2. Let x = 4 + v. Let i = x + 4. Is i prime?
True
Suppose 33*s = 30*s + 5511. Is s a prime number?
False
Suppose -3 + 6 = 3*w, -5*r + 859 = 4*w. Suppose 0 = 3*i + 12, 0 = 5*h + 3*i - 8*i - 35. Suppose -h*d + 0*d + r = 0. Is d prime?
False
Suppose -2*s = 2*s - 64. Suppose 3*y = a + 13 - 41, -3*a = 3*y + 24. Let v = s + y. Is v composite?
False
Let u = -6 + 3. Let v = u - -7. Suppose 0 = -v*y - 8, 3*y - 6 = -4*w + 2*y. Is w prime?
True
Let s(f) = -3*f**2 + 9*f + 3. Let z be s(-6). Let j = 4 - z. Is j a prime number?
True
Suppose -y = w + 1, 5 + 1 = -3*y - 4*w. Suppose -c + 3*l = 4*c - 765, -5*c + 740 = 2*l. Suppose -y*z - 5*d + c = 0, 110 = 2*z - d - 4*d. Is z prime?
False
Suppose 2*q = -z - 99 - 67, 654 = -4*z + 2*q. Let y = 231 + z. Is y prime?
True
Let d = -11 + 1. Is (102/(-2))/(d - -9) a prime number?
False
Suppose 2*o - 3359 = -2*q + 1865, -5*o - 3*q + 13054 = 0. Is o prime?
True
Suppose 4*m = -5*s + 9789, -s + 7836 = 3*s + 2*m. Is s a composite number?
True
Suppose 0*n + 5 = n. Suppose -n*y = -2*y - 39. Is y prime?
True
Let d(i) = 26*i + 53. Is d(14) prime?
False
Let v = 166 - -547. Is v a prime number?
False
Let t(v) = v**2 + 12*v + 2. Let d be t(-12). Suppose -2*b + 2*h - 70 = 262, -483 = 3*b + d*h. Let z = 228 + b. Is z a composite number?
True
Let d(w) = -w**3 + 3*w**2 - w. Let y be d(2). Suppose l = -4*u - 24, -4*l - 2*u - 36 = y*u. Let n = l + 18. Is n prime?
False
Let v(s) = -8*s + 1. Let k(f) = -f. Let u(r) = 22*k(r) - 2*v(r). Is u(-6) a prime number?
False
Let p(l) = -3*l**3 - 4*l**2 + 2*l + 4. Let x be p(-3). Let g = 190 + x. Is g a prime number?
True
Suppose -6 = -2*m + 6. Let t = m - 6. Suppose 0 = -t*a + 2*a - 230. Is a prime?
False
Let l = 5 + -2. Suppose l*n - 2*n - 109 = 0. Is n a prime number?
True
Let w be (2/(-6))/(7/(-168)). Let x(p) = 7 + 4*p**2 - 3*p - 3*p**2 + 0. Is x(w) a prime number?
True
Is 4795/3 - (-12)/(-9) a composite number?
False
Suppose -4*s = -6462 + 646. Is s composite?
True
Let l = -14 - -17. Suppose l*d + 431 = 5*u + 136, 0 = u - 5*d - 59. Is u a composite number?
False
Suppose 5*z = 5, 4*s - 2*s - z - 3 = 0. Suppose 0 = -s*b + 4*y + 22 + 4, 0 = -2*b + 5*y + 23. Is b a prime number?
True
Suppose 3*v - 5*k - 710 = 12, -5*v + 4*k = -1225. Is v a prime number?
False
Let j = -29 + 16. Let f = j - -22. Suppose 0 = b - g - f, b - g = 3*g + 3. Is b a composite number?
False
Let h be 4*(-2)/4*-79. Suppose 2*z = -0*z + h. Is z a composite number?
False
Let v(f) = -f**2 - 5*f + 1. Let h be v(-4). Suppose -d + 14 = -h*i + 3*i, -5*d = -i - 25. Suppose -d*t = t - 95. Is t a prime number?
True
Let a(b) = -b**2 - 17*b + 4. Let c be a(-17). Suppose 46 = c*n - 2*n + 3*q, 0 = -2*n - q + 50. Is n composite?
True
Suppose 4*t + 2654 = 12666. Is t a composite number?
False
Let u(w) = 16*w - 9. Let v(d) = -6*d**3 - d**2 + 1. Let g be v(-1). Is u(g) composite?
True
Let i = 7 + -4. Let h(w) = 22*w**2 + 2*w - 5. Is h(i) a composite number?
False
Is (2/3)/(8/5868) a prime number?
False
Let n = -7 - 0. Let t = 3 - n. Is t prime?
False
Let v(g) = 10 + 9*g + 6*g**2 - 3*g**2 - 2*g**2. Let j be v(-8). Let n(f) = 5*f**3 - 2*f**2 - 2*f + 3. Is n(j) prime?
True
Let c(u) = -u**3 - 12*u**2 + 8*u - 3. Let g be c(-10). Suppose -x - 3*x + 1704 = 0. Let p = x + g. Is p composite?
True
Let i = 60 + 259. Is i a prime number?
False
Suppose -q = 3*b - 10, 0*q + 2*q + 4*b - 14 = 0. Let c(k) = k**2 + 10*k - 13. Let s be c(-11). Is (-1)/(q*s/602) prime?
False
Suppose 30 + 10 = 4*t. 