
Let j(r) = r**3 + 7*r**2 - 14*r - 5. Let c be j(-9). Let h be (0 - -6) + (1 - -1). Let t = h - c. Is t a prime number?
False
Suppose 3*f - 6*w - 477 = -w, -628 = -4*f + 4*w. Suppose -4*d = -162 - f. Is d prime?
True
Suppose 0 = 5*t + 4*r + 20, -t + 3*r = -0 + 4. Let q be t/12 - 2/(-6). Suppose q*i = -2*i + 166. Is i a composite number?
False
Suppose 73 = 5*u + 2*t - 11594, 0 = 2*u + 5*t - 4671. Is u composite?
False
Suppose 0 = -4*l + 3 + 17. Suppose l*v - v = -36. Is (14/(-6))/(3/v) prime?
True
Suppose c + 206 = 3*t, -1 + 11 = -2*c. Let s(u) = -u**3 + 4*u**2 - 3*u. Let w be s(2). Suppose -3*z = -w*z - t. Is z a prime number?
True
Let a(r) = -131*r**3 - r**2 - 2*r - 1. Let b = 46 + -26. Suppose -2*h - 3*t + 12 + 1 = 0, 0 = -5*h + 3*t - b. Is a(h) composite?
False
Let c be -1 - ((1 - 2) + -328). Suppose -k = 3*k - c. Is k a prime number?
False
Let c be 22/4 + 3/(-6). Suppose 4*w = -5*l + 1105, 0 = -0*l - l + c*w + 192. Is l a composite number?
True
Is (0 - 2798)*(-10)/4*1 a prime number?
False
Let p = -6 - -9. Suppose -3*m - 8 = -b, -5*m + 3*m + 13 = p*b. Suppose 5*c - 50 = 5*o + 110, 0 = -b*c - 5*o + 210. Is c a prime number?
True
Let q(l) = -l**2 - 5*l - 6. Let m be q(-4). Is 748/4 - 0/m composite?
True
Let g = 739 - 250. Is g prime?
False
Suppose -9*v + 4081 = 2*v. Is v prime?
False
Let a(s) = -21*s - 4. Is a(-10) composite?
True
Suppose 2*p - 12 = -c, 0 = -2*c + 3*c - 3*p + 3. Let o(t) = 3*t**2 + 1. Let w be o(-2). Let z = w - c. Is z a prime number?
True
Let o = -504 + 2401. Is o a composite number?
True
Let g(u) = 2*u**2 - 10*u + 13. Is g(-17) prime?
True
Let f = 32 + 5. Is f a composite number?
False
Let h = 2677 - 1178. Is h prime?
True
Suppose -3*q + 8 = -q. Suppose -q + 2 = -2*z. Let n = z + 2. Is n prime?
True
Suppose 4*h - 10 = -2*m, -2*m - h - 5 = -4*m. Suppose -m*c = 2*a - 0*c - 166, -a + c = -73. Is a a composite number?
True
Suppose -6 = -u - 2*u. Suppose -4*r = -4*h + 84, -u*h = 5*r - 14 - 28. Is h prime?
False
Let b(x) = 6 + 0*x**2 + 2*x + 2*x**2 - 14. Let f be b(-6). Let n = 31 + f. Is n a composite number?
False
Suppose -4*y = -2*v - 12, -5*y = -0*y - 3*v - 15. Suppose -4*n = -y*l - 132 + 3, 2*l = 5*n - 163. Suppose -2*x + n = -x. Is x composite?
True
Let b(k) = 3 + 2*k + k - 6*k. Let f = -28 + 22. Is b(f) composite?
True
Is (-6 + 2)*-1 - (-1007 - -2) prime?
True
Let i be 106/3 - 4/(-6). Let y = i + 83. Is y composite?
True
Let h(r) = -r**3 - 8*r**2 - 9*r. Let b be h(-6). Let z = -123 - -58. Let a = b - z. Is a a prime number?
True
Let o(g) = 128*g + 17. Is o(9) prime?
False
Suppose -10 = 4*o - 6*o. Suppose 0 = o*l - 5*t, -5*l = -l + 5*t - 45. Suppose -u - 51 = -y, 3*y + l*u + 15 = 184. Is y prime?
True
Suppose -5*j + 25 = 0, -3*j + 4*j = -5*o + 530. Suppose -2*q - q = -o. Is q a composite number?
True
Is 1172/6*(-18)/(-12) a composite number?
False
Let p = -13 + 19. Let k be ((-4)/p)/((-8)/1596). Let y = 282 - k. Is y composite?
False
Suppose 138 = 3*j + 4*g - 13, 3*j - 149 = -5*g. Suppose -2*w = -w - j. Is w prime?
True
Let y = -1 + 6. Suppose 4*t = -w + 101, y*t + 97 = w - 49. Is w composite?
True
Suppose -5*t - y = -2, 0 = -2*t - 3*t + 5*y + 20. Let f be ((-6)/(-15))/(t/5). Suppose f*p = 3*p - 39. Is p a prime number?
False
Let o = 2 - 3. Is -261*(-1)/(-3)*o prime?
False
Let p = -1 - -13. Is 3/(-12) + 1935/p composite?
True
Is 4/(-6) + (-791)/(-21) a prime number?
True
Let v = 20 + -10. Is (-810)/(-4) - (-5)/v a composite number?
True
Let c(q) = -2*q**3 - 17*q**2 - 2*q - 16. Is c(-15) a composite number?
False
Let t be ((-9)/4)/((-18)/(-48)). Let x be 2/(-6) - (-22)/t. Let i(f) = -f**3 + 5*f**2 + 2*f - 3. Is i(x) prime?
False
Let c(m) be the third derivative of -23*m**4/24 + m**3/6 + 3*m**2. Let s be c(3). Let q = s - -101. Is q a composite number?
True
Suppose 3*r + 217 = t, 0*t - r + 420 = 2*t. Is t a prime number?
True
Suppose 3*t + 24 = -0*t. Let z(x) = 2*x**2 + 12*x + 11. Is z(t) a composite number?
False
Suppose 0*a - 5*a + 253 = -2*m, -5*a - 2*m + 257 = 0. Is a composite?
True
Let i be (8/(-10))/((-2)/(-85)). Let p = i + 85. Is p a composite number?
True
Suppose -q - 2*o = -54, 3*o = -0*o - 6. Is q composite?
True
Let y = 4045 - 2312. Is y a prime number?
True
Let j = 112 + -59. Is j a prime number?
True
Suppose -j + 1658 = 4*x + j, -428 = -x - 5*j. Is x a composite number?
True
Let q = 7835 - 4324. Is q a prime number?
True
Suppose -4*f + 1 + 7 = 0. Let a(y) = -y - y - f + y. Is a(-5) a composite number?
False
Suppose -4*a - t + 19 = 2, 0 = -3*a + 4*t - 11. Let h be (a + -4)/((-3)/3). Is h + 36 + 0/2 a composite number?
False
Let i(k) = -k**2 + 7*k + 1. Suppose -2*p - 12 = -2*o - 2*o, 0 = -o + 4*p + 3. Is i(o) a composite number?
False
Suppose -1216 = -i - 2*s + 285, 2*i - 3*s = 3023. Is i prime?
False
Suppose 14*n + n = 63735. Is n a composite number?
True
Let r(i) be the first derivative of -3 - 6*i**2 + 2*i**2 + 4 - 6*i. Is r(-4) composite?
True
Let x = 197 + -319. Let c be (-1227)/(-7) - 6/21. Let k = x + c. Is k prime?
True
Suppose -4*z + 3 = 3*k - z, k - z - 9 = 0. Suppose -k*u + 231 = -2*u. Is u a prime number?
False
Let i be 6/2 + 2 + -1. Suppose -i*g = 3*o - 18, -4*g - 18 = -3*o + g. Let z(f) = f**2 + 3*f - 1. Is z(o) prime?
True
Suppose 3*a = l + 1891, 3*a - 2015 + 112 = 4*l. Is a a prime number?
False
Let u(w) = 1535*w + 3. Is u(4) prime?
True
Let b be 0/(-2*1*-1). Let p(x) be the first derivative of x**2/2 + 55*x - 22. Is p(b) prime?
False
Let a(v) be the first derivative of v**4/4 + 10*v**3/3 + v**2 - 5*v + 2. Is a(-6) composite?
False
Let j(v) = -v**3 - 9*v**2 - 8*v + 4. Let o be j(-8). Suppose -o*p + 114 = -p. Is p a prime number?
False
Let h(j) = -4*j + 52 + 3*j + 84. Let f be h(0). Suppose 2*y - 6*y + f = 0. Is y a composite number?
True
Let m(g) = 6*g**3 - g**2 - g + 1. Let o be m(1). Let f be (-1 - (-2)/1) + o. Suppose 5*p - 59 = -d, f*d - 5*p - 137 = 3*d. Is d a prime number?
False
Let p(l) = 85*l + 10. Let m be p(9). Suppose 4*t - m = -t. Is t a composite number?
True
Let t(q) = q + 7. Let f be t(-5). Suppose 2*a = -4*w + 6, 2*w + f*a + 2*a = 0. Is 11*(16 - 1) - w prime?
True
Is (7 - 4)/((-9)/(-807)) a prime number?
True
Let s(h) = 14*h + 5. Let g(a) = 43*a + 14. Let p(c) = 4*g(c) - 11*s(c). Let l be p(9). Suppose 3*w + 2*d - l = 0, d = 3*w + 40 - 206. Is w composite?
True
Let k = 122 - -1. Is k composite?
True
Suppose 78 = 3*k - 2*t + t, 3*k = 5*t + 90. Suppose 127 = 3*n - 5*p - 147, 5*p + k = 0. Is n a prime number?
True
Suppose -3*c - 78 = -0*c. Let u = 6 + c. Is 4 - 4 - (u - -1) a composite number?
False
Suppose n = 3*n + 6. Let b(q) = -2*q**3 - 3*q**2 + 3. Let a be b(n). Suppose -4*h = m - h - a, 72 = 4*m - 4*h. Is m a prime number?
False
Let l = 8 - 3. Suppose 0 = l*q - 4*q - 37. Is q prime?
True
Suppose 5*l - 35 = 2*v, v + 23 = 3*l + 1. Let d be ((-12)/(-10))/(3/60). Suppose l = i - d. Is i a composite number?
True
Let q(x) = 8*x**2 - 3*x - 1. Let g(f) be the second derivative of -f**4/12 + f**3/6 + 2*f. Let a(y) = 4*g(y) + q(y). Is a(3) prime?
False
Is (-3 - (-354)/(-9))/((-5)/15) composite?
False
Let f = 41 + 28. Suppose f = c + c - 5*n, c - 4*n - 39 = 0. Let b = c + 26. Is b a prime number?
True
Let y(c) = 12*c + 3*c**3 - 4*c - 5*c**2 - 5 - 2*c**3. Is y(6) a composite number?
False
Let x be 4 - 1 - 3*1. Suppose -i - 2*i = x. Suppose -2*p + 35 + 27 = i. Is p prime?
True
Suppose -2*s = -6*s + 24. Let u(t) = 7*t**2 - 22*t + 14. Let x(y) = -13*y**2 + 43*y - 27. Let o(z) = s*x(z) + 11*u(z). Is o(7) prime?
False
Suppose -4 = 5*n - 54. Suppose -k - b - b - n = 0, 2*k + 5*b + 25 = 0. Suppose k*c + 47 = c. Is c prime?
True
Is (14/4)/(16/1888) composite?
True
Let s be (1/(-2))/(13/(-338)). Suppose 2*o + s = 275. Is o a prime number?
True
Let g(o) = -79*o**3 - o - 1. Is g(-1) a composite number?
False
Let j(g) = -52*g - 3. Let x be j(-2). Suppose -4*n + 207 = -5*l + 4*l, 0 = 2*n - l - x. Is n prime?
True
Let z(b) = b**2 - b + 7. Let s(f) = f**2 + f. Let x be s(-5). Suppose -4*g = 5*m - 20, -3*m = 3*g + 2*m - x. Is z(g) composite?
False
Let x(n) = n**2 + 5*n + 5. Is x(7) a prime number?
True
Let m be (-4)/14 - 7419/(-21). Is -2*(3 - m/2) composite?
False
Let s = 12 - 14. Is ((-8)/16)/(s/508) a prime number?
True
Suppose -811 = 15*v - 17116. Is v a composite number?
False
Let g(x) be the s