True
Let q(l) = 31*l**2 - 8*l + 10. Is q(-7) a prime number?
False
Suppose -2*a = 3*x - 19, 6 = a + 4. Suppose d - 187 = -2*l, 5*d = x*l + 947 + 18. Is d prime?
True
Let i be (-85)/2 + 6/4. Let m = i - -127. Is m composite?
True
Suppose o - b = 193, -5*o + b - 2*b = -971. Suppose 0 = -5*z + 821 + o. Is z prime?
False
Let x(q) = q**2 + 9*q + 4. Let g(l) = -l**3 + 7*l**2 - 7. Let u be g(7). Let b be x(u). Is (-6)/(-15) + (-466)/b a prime number?
True
Let j(v) = 7 - v - 1 + 5. Suppose 10 = -u + 5*g - 0, 10 = -2*u + 5*g. Is j(u) a composite number?
False
Let w(l) = 2*l**3 + 6*l**2 + 7. Let n be w(-6). Let o = n + 412. Is o prime?
False
Let h = 4 - 2. Suppose 5*q = 4*w + 4, h*w - 6*w + 20 = q. Suppose f = 2*x + 4, 4*f = 3*f + q*x - 6. Is f a composite number?
True
Let l be (-3)/(1/(6/(-9))). Is (-1298)/(-14) - l/(-7) a composite number?
True
Let i(o) = 38*o - 1. Suppose 2*y - y = 5. Let p(v) = -v + 6. Let s be p(y). Is i(s) prime?
True
Let k = 3591 - 2254. Is k a prime number?
False
Suppose -d + m + 3*m = -2497, -m + 4967 = 2*d. Suppose 0 = -6*z + 3*z - 2*f + 1491, -f = 5*z - d. Is z a prime number?
False
Suppose 0 = -c + 3*r + 11, -4*c = c - 3*r - 19. Suppose -j + 5*n = -20, -2 = -4*n + c. Let o = 44 - j. Is o a prime number?
True
Suppose 2*i = 3*p + p - 166, 0 = -5*p + 4*i + 203. Suppose -p = -2*f + f. Is f a prime number?
True
Let a(s) = 22*s**2 + 7*s + 7. Is a(8) composite?
False
Suppose 3*a - 6 = q, 3*a - 8*a + 27 = 4*q. Suppose -4*v + j = v - 60, -5*v - q*j + 60 = 0. Let t = v - 6. Is t a prime number?
False
Let j = 247 - -46. Is j prime?
True
Let h be -4*3/((-18)/87). Suppose -5*o = 3*b - 84 - 137, 4*b + h = o. Is o prime?
False
Let p = 571 + -320. Is p a composite number?
False
Let g = -16 + -2. Is (-18)/81 + (-922)/g a prime number?
False
Let o = 42 - -49. Is o a composite number?
True
Let x = -17 - -211. Suppose -2*a = 2*g + 62 + 12, -5*g - 2*a - x = 0. Let z = 171 - g. Is z a composite number?
False
Let h(u) = u**2 + 5*u - 5. Is h(-7) composite?
True
Let x(m) = 8*m**2 - 2*m + 5. Let g = 11 - 6. Let d be x(g). Suppose 4*h - 137 = d. Is h a prime number?
True
Let n(s) = -9*s + 5. Let p be n(-4). Let z = 64 - p. Is z a prime number?
True
Let x = -16 - -1103. Is x a prime number?
True
Let w = 333 - -258. Is w composite?
True
Let f(y) = -y**2 - 7*y + 8. Suppose 0 = 2*d + 3*d - 150. Suppose 0*c + d = -5*c. Is f(c) prime?
False
Let l be ((-6)/(-4))/(12/2768). Suppose 2*h + 5*t - l = 0, 0 = h - 4*h + t + 485. Is h composite?
False
Suppose t - 186 - 5 = 0. Is t a composite number?
False
Let z(i) = 11*i + 29. Is z(12) prime?
False
Suppose 0 = 3*t - 2*t - 5. Suppose -t*r = -r - 844. Is r a prime number?
True
Let l(q) = 2*q**2 - q. Is l(7) composite?
True
Is 6/(-10) + -8*(-4094)/20 a composite number?
False
Let k = -9 - -11. Suppose -k*u - 3*g - 184 = -4*u, 5*g - 346 = -4*u. Is u a composite number?
False
Suppose 4*a = 2*n - 1938, 0 = -4*n - 6*a + 3*a + 3920. Is n a composite number?
False
Is (7/(-3) + 2)/((-7)/3381) prime?
False
Let t(i) = i**3 - 4*i**2 + 7*i + 10. Let x(q) = 2*q**2 - 3*q - 5. Let n(d) = -3*t(d) - 7*x(d). Is n(-6) a prime number?
False
Suppose -4*c + 11698 = -5*l, 0 = 5*c - 0*c + 5*l - 14645. Is c prime?
True
Let b = 2637 - 1750. Is b a prime number?
True
Suppose 5*p - 6758 = 2027. Is p a prime number?
False
Let n(c) = 188*c**2 - 4*c + 11. Is n(-6) a composite number?
False
Suppose 5*q + 4*g = 5317, -q - 3*g + 489 = -581. Is q composite?
False
Let l(k) = -k**2 - 6*k + 8. Let v(h) = 2*h + 7. Let y be v(-6). Is l(y) a composite number?
False
Let c = -19 + 13. Let a(k) = -k**3 - 2*k**2 - 9*k - 7. Is a(c) composite?
False
Suppose 4*c - 90 = 86. Suppose 0 = -4*t - 4*j - 88, t = -0*t + j - 20. Let u = t + c. Is u prime?
True
Suppose -3*n = -0*n + 2*u - 2, 0 = -4*n - 4*u. Is (-1)/n*-37*2 composite?
False
Suppose -13334 = -7*b + 4985. Is b a prime number?
True
Suppose 3*t + 5*f = 2*f + 2448, 4*f = 3*t - 2483. Is t composite?
False
Let u(b) = b**2 + 6*b - 8. Let g be (35/(-10))/(2/4). Let j be u(g). Is (j/3)/((-3)/198) prime?
False
Suppose 2*u - 466 = 4*i, 0 = 2*u + u + 4*i - 649. Is u/9 + 10/45 prime?
False
Let r = -803 + 1402. Is r composite?
False
Suppose 2*y = 3*y + 6. Let c(f) = 5*f**2 - 5*f - 7. Is c(y) prime?
False
Suppose k = -4*k + 265. Is k prime?
True
Suppose 5*p = 5*a + 1205, p + 3*a - 936 = -3*p. Is p a prime number?
False
Let r be 4*(-1)/3*-3. Suppose -4*x = -r*w + 80, -26 = -w - 5*x + 4*x. Is w composite?
False
Let b(t) = -20*t - 3. Let j be b(-4). Suppose 28 + 96 = 2*h + 5*v, -h = -5*v - j. Is h prime?
True
Suppose -1568 = -d - 3*h, 9*h - 4*h = 2*d - 3125. Is d a prime number?
False
Let z(f) = 7*f + 12. Is z(10) a composite number?
True
Suppose -g - 1 + 13 = 0. Suppose -g = 3*i - 369. Is i a composite number?
True
Let f be (-1 - -4)*(0 + 1). Suppose -5*v = 7*s - 2*s - 1850, 2*v + 1115 = f*s. Is s composite?
True
Let q = 26 + 1. Suppose 0 = -2*u - q + 265. Is u prime?
False
Suppose y - 2*y = -5*f + 25, 5*y + 15 = 3*f. Suppose y = -4*x - 3*b + 387, -6*b = x - 3*b - 108. Is x prime?
False
Let n = -3 - -37. Suppose -a + 115 = -n. Is a prime?
True
Suppose -4*q = -2*i - 2*i + 800, 5*i - 1018 = -q. Is i prime?
False
Let i = 73 - -9. Is i a composite number?
True
Let v = -6 - -9. Let p(t) = 14*t**2 - 5*t + 2. Is p(v) a prime number?
True
Let p(u) = u**3 - 11*u**2 + 15*u - 9. Let i be p(10). Suppose 11 - i = -3*v. Is v a prime number?
False
Let p(t) = 6*t**3 - 1. Let n be p(1). Suppose n + 1 = 2*i. Is -14*(-1 - 2)/i a composite number?
True
Suppose 655 = -0*y + 5*y. Let g = y + 18. Is g composite?
False
Let u = 15 - 8. Let b(k) = 3*k - 8. Is b(u) prime?
True
Suppose 4*f - 1905 = -f. Suppose -5*y - 2261 = k, -y - f - 72 = k. Is y/10*5/(-2) a prime number?
True
Suppose -2*q - 266 = o - 0*o, 3*o - 4*q = -778. Let y = o - -578. Suppose -y = -3*p - p. Is p a prime number?
True
Let u(o) = o**2 - 4*o + 5. Let v = 5 + 13. Suppose -2*h = 4*y + 20, 2*y - 7*y + h = v. Is u(y) a composite number?
False
Let h = -10 + 15. Let d(m) = m**3 + 7*m**2 - 5*m + 2. Let a be d(h). Suppose a = 3*p - 0*p - k, 0 = 5*p - 5*k - 445. Is p a prime number?
False
Let c(w) = w**3 - 2*w**2 + 2. Let x be c(2). Let q(i) = 13*i**3 - 3*i**2 + 2*i - 1. Is q(x) a prime number?
False
Suppose 0*l + 3*l + 21 = 0. Let r be -6*(-3 + l/(-2)). Is (-37 - 0)*(2 + r) a prime number?
True
Let w(t) = -6*t**3 + 7*t**2 - 10*t - 1. Let r(z) = 2 + 7*z**3 - 4 + 3 + 11*z - 8*z**2. Let y(s) = -5*r(s) - 6*w(s). Is y(4) composite?
False
Suppose 3*x - 1480 = 5*j, -2*j - 2*x + 592 = -4*j. Let i = 793 + j. Is i prime?
False
Let f(c) = -2*c**3 - 9*c**2 + 11*c + 15. Let g(a) = 3*a**3 + 13*a**2 - 16*a - 23. Let n = -7 - 1. Let x(l) = n*f(l) - 5*g(l). Is x(-6) composite?
False
Let j be 106 - ((-1 - -2) + -1). Suppose 2*l = 4*g + j, -l + 106 = l - 2*g. Is l a prime number?
True
Let w be (18/15)/(1/(-90)*-3). Suppose 4*v - 6 - 2 = 0. Suppose 2*r = z - 53, -2*z - w = -v*r - 136. Is z prime?
True
Let c = 763 + -282. Is c a prime number?
False
Suppose -6*c + 1734 = -0*c. Is c a composite number?
True
Let j = 828 + -311. Is j composite?
True
Is (1*7)/((-11)/(-319)) prime?
False
Suppose 161 = 2*i - 5*q, 4*i - 2*i = -2*q + 182. Let t = 141 - i. Is t a prime number?
True
Let o(i) = -138*i**3 + 3*i**2 + 2*i + 3. Is o(-2) a prime number?
False
Suppose 4*x = -2 + 54. Let f = 23 - x. Is f a prime number?
False
Suppose 3*k = 9, 3*k + 2*k - 23 = -4*w. Suppose w*p + 5*c = p - 318, 3*p + 4*c = -910. Is 2/(-8) + p/(-8) a composite number?
False
Let a = -27 - -38. Is a a composite number?
False
Let k be (0 + 0)/(1/1). Let o(b) = k*b**2 - 2*b**2 + 5 - 4*b**2 + 5*b + b**3. Is o(6) a composite number?
True
Let v be (1 + 0)/(1/1). Suppose 6 = g - v. Suppose 3*q - g*q + 76 = 0. Is q a prime number?
True
Let b(z) = 77*z - 6. Is b(5) composite?
False
Let c(o) = 0 - o + 5*o**2 + 9*o + 4. Is c(-5) a composite number?
False
Let u(x) = 18*x - 7. Let w(c) = 4 - c - 2 - 6 + 3. Let b be w(-8). Is u(b) a composite number?
True
Suppose -3*g = -5*p - 36, 0 = -4*p + 4 - 16. Suppose 3*z - g*z + 124 = 0. Is z prime?
True
Let f be (-4)/14 - (-5355)/49. Suppose -271 = -4*z + f. Is z prime?
False
Let h = -16 + 19. Suppose 0 = 5*i + k - 246, -2*i - h*k = -i - 52. Is i a prime number?
False
Suppose -5*h = -4*z - 4299, 0*h + h + 4*z = 879.