alse
Suppose -4*w - 8 = -5*b + 3, -3*b + 6 = -3*w. Let c(x) = 28*x**2 + 3*x + 4. Is c(b) a composite number?
True
Let r(d) = d**3 - d + 3. Let w be r(0). Suppose -14 = -w*n + 2*n. Is n prime?
False
Let l(s) = -s - 7. Let c be l(-6). Let w(v) = -v + 4. Let y be w(-3). Is (c/1)/((-1)/y) prime?
True
Suppose 1905 = -4*s + 7*s. Is s a composite number?
True
Let l(h) = 748*h + 35. Is l(2) a prime number?
True
Let h be 14*(0 - 12/(-14)). Suppose -2*t + 6*t + h = 0. Is (-223)/(t + 1 - -1) prime?
True
Let s(g) = -599*g - 2. Let d be s(-2). Suppose -4*q = w - 5*w - d, -1507 = -5*q - w. Is q a prime number?
False
Let i = -90 + 571. Is i a composite number?
True
Let j(i) = 56*i**2 - 1. Is j(-1) composite?
True
Let n = -4 + 2. Let b be -12*((-2)/3 - n). Let v = b - -30. Is v a composite number?
True
Is ((-1780)/6)/((-4)/6) a composite number?
True
Let y be 6/9 + (-26)/(-6). Suppose 0 = g + 5*i + 5, 4*g - y*i - 5 = -g. Suppose 5*j - 185 = -g*j. Is j composite?
False
Let w(u) = u**2 - 10*u + 10. Let o be w(8). Suppose 0 = -2*h + h - 18. Is (-209)/o - 3/h a prime number?
False
Suppose -t + 4*r = -879, 8*t = 6*t - 4*r + 1758. Is t a composite number?
True
Let z be 10*(-2 - 0)/2. Is 370*(3 + z/4) a composite number?
True
Let a(h) = -1105*h - 10. Is a(-9) composite?
True
Suppose 4*x - 3*x - 6 = 0. Let c = x - -20. Is c composite?
True
Suppose -3*n - 2 = h - 9, 15 = -3*h. Let m(r) = 0 - 1 - 4*r - n. Is m(-4) a composite number?
False
Suppose 853 = 3*h + 64. Is h a prime number?
True
Suppose -25065 = -10*l + l. Is l a composite number?
True
Is 1594/6 + 28/(-42) composite?
True
Let p(k) = 499*k**2 + 2*k - 2. Is p(1) a prime number?
True
Let f(i) = i. Let p(l) = -l**3 + 6*l**2 - 5*l + 6. Let c(u) = -3*f(u) - p(u). Is c(7) a composite number?
True
Is (-8 - -4) + 7 - -124 a prime number?
True
Let o(n) = 17*n - 3 - 1 + 28*n. Is o(3) composite?
False
Let c(n) = -n**3 - 4*n**2 + 8*n + 7. Let z be c(-5). Let f = z - -13. Suppose -2*p - 6 = -f*p. Is p a composite number?
False
Suppose -3*m = -8*m, -3*r - m + 11829 = 0. Is r a composite number?
False
Suppose 3*h - 772 = h. Is h a composite number?
True
Suppose -4*y + 15 = -29. Let s = y + -7. Suppose -s*o - 29 + 190 = x, 5*o - 165 = -x. Is x prime?
False
Let b = -7 + 10. Suppose 2*m - 65 = -4*a + b*a, m - 19 = 4*a. Is m composite?
False
Suppose -k + 112 = 3*k. Suppose -2*t = -t - k. Let c = 65 - t. Is c prime?
True
Let p = -2 - -4. Let h(d) = 5*d - 3*d + 11 + 12*d + 11*d**p + d**3. Is h(-9) prime?
True
Let r be ((-81)/36)/(3/(-8)). Is 530/r + (-8)/(-12) a prime number?
True
Let o(g) = 3 - 6*g + 5 + 4*g**2 - 3*g**2. Let t be o(8). Is t + -1 + -2 - -2 a prime number?
True
Let q = -487 + 722. Is q composite?
True
Let a(u) = -u**3 - 3*u**2 + 2*u. Let n be a(-3). Is n*(-46)/4 + -2 composite?
False
Let f(x) = x**3 + 6*x**2 + 4*x - 4. Let t be f(-5). Is 25 + (-2 - (t + -3)) composite?
True
Let t = 116 + -52. Suppose 2*w = t + 90. Is w composite?
True
Let a = -1224 + 1865. Is a composite?
False
Suppose 900 = -4*z + 2816. Is z a prime number?
True
Suppose 3*s + 3*i - 81 = 0, 5*s + 20 = -3*i + 163. Is s composite?
False
Suppose w = -5*w + 4404. Is w composite?
True
Let i be 1006 - 7/((-21)/12). Suppose 0 = -5*w + 4*n + 2591, 3*w - w + 5*n = i. Is w prime?
False
Suppose 725 = 6*t - t. Is t a composite number?
True
Is (10/(-8))/((-4)/1616) a composite number?
True
Is 1210 + (-188)/60 + 6/45 composite?
True
Let t(p) = 46*p - 2. Let w be t(3). Suppose 0 = -g + 5*g - w. Is g a prime number?
False
Let b = -25 - -17. Let z(y) = -12*y - 7. Is z(b) prime?
True
Let f = 7 + 7. Let s be (-186)/f - (-2)/7. Let h = 44 + s. Is h a composite number?
False
Let d(i) = 3*i**2 - 3*i - 8. Let x be d(6). Suppose h - x = -5. Is h composite?
True
Let h(a) = -a - 8. Let y be h(-4). Is 0/2 - (y - 0) prime?
False
Is 0 + (202 - 0/2) a composite number?
True
Let u(z) = -4*z**2 - 10*z + 4. Let q be u(-5). Let n = -37 + -40. Let s = q - n. Is s prime?
True
Let t = 11 - 7. Let f(p) = p**2 + 7*p**2 - 6*p**3 + t + 5*p**3 + 7. Is f(8) a composite number?
False
Suppose 0 = -2*y + 140 + 570. Is y a composite number?
True
Let c be ((-13)/4 + 2)*-4. Suppose -382 = -c*j + 13. Is j prime?
True
Suppose 0 = 3*b - 383 + 2. Is b a composite number?
False
Let x(n) = -n**3 - 6*n**2 + 9*n + 8. Let p be x(-7). Let i(c) = -c**2 - 6*c - 3. Let v be i(-5). Is (-220)/(-6) - v/p prime?
True
Is -1*(2/(-4) - (-1323)/(-14)) a composite number?
True
Let m = 67 + -14. Suppose 4*t - m = 39. Is t composite?
False
Let i(f) = -5*f. Suppose k + 1 = -1. Is i(k) a composite number?
True
Suppose 2*i + 68 = -30. Let c = i - -96. Is c a prime number?
True
Let l = -155 + -6. Is l*1*(-2 - -1) composite?
True
Let k(s) = -15*s**2 + 11*s + 35. Let x(u) = 7*u**2 - 6*u - 17. Let f(i) = -6*k(i) - 13*x(i). Is f(10) a composite number?
False
Let v = -1 - -2. Let m(q) be the second derivative of 5*q**4/4 - q**3/6 - 6*q. Is m(v) prime?
False
Suppose 4*t - 2016 = -4*f, -3*t = -2*t - 3*f - 492. Is t prime?
False
Let o(a) = -9*a**2 - 14*a - 14. Let q(p) = -5*p**2 - 7*p - 7. Let h(z) = -4*o(z) + 7*q(z). Is h(-10) prime?
True
Let t(w) = 9*w**2 - 4*w - 2. Suppose 0 = -a - 4*v + 13, -4 - 6 = -5*v. Is t(a) a composite number?
True
Let z = 19 - 17. Suppose g = z*g - 469. Is g a prime number?
False
Let k be 4*(3 + (-5)/2). Is k/(6/693) + 2 composite?
False
Let w = -6 - -11. Let n(s) = 7 - 2*s**2 - w*s**3 + 6*s**3 + 6*s + 11*s**2. Is n(-6) composite?
False
Suppose 5*p = p. Suppose 2*r - 284 - 218 = p. Is r prime?
True
Is -2 + (3 - (-888)/4) composite?
False
Suppose 2*l + 222 = -0*l. Let c(f) = 190*f. Let d be c(-1). Let z = l - d. Is z composite?
False
Let c(s) = 7*s**2 + 5*s + 19. Is c(10) a composite number?
False
Suppose -n + h = -37, n - 5*n = -3*h - 145. Suppose -3*j = -4*j + n. Is j prime?
False
Let s be 369 + 1/(-1)*1. Suppose -i - 17 = s. Is 2/1*i/(-14) composite?
True
Let y = 6 - 8. Is (7/(-3))/(y/18) a prime number?
False
Let h be (4 + -2)*(-6)/4. Is 14/((-1)/h*2) a composite number?
True
Suppose 3*j + 1211 = 4*z, -2*j - 1210 = -2*z - 2*z. Let g = z - 193. Is g a prime number?
True
Let q be (4/6)/(1/3). Suppose -m - 5*b + 9 = -50, q*m - 4*b = 118. Is m a composite number?
False
Let q(s) = s**3 + 5*s**2 - 4*s - 11. Is q(-5) prime?
False
Suppose -2*l - 17 = -117. Let x = l + -24. Is x prime?
False
Suppose 0 = 5*k + 5, 0*k - 399 = -y + 2*k. Is y a prime number?
True
Suppose 0 = 3*r + 3*r. Suppose -490 - 20 = -4*p - 2*o, r = -5*p - 4*o + 639. Is p composite?
False
Let g be 1872/14 + (-12)/(-42). Suppose 0*s - 2*s + g = 0. Is s composite?
False
Suppose -7*x + 9235 + 1636 = 0. Is x a composite number?
False
Let n(u) = -11*u**2 + 8*u**2 + 4*u**2 + 10 + 4*u. Let o = 15 - 8. Is n(o) a prime number?
False
Suppose -5*t = -7 - 173. Let v = -5 + t. Is v a composite number?
False
Let k = -9 - -11. Suppose 2*h + k*h = 0. Suppose h = m - 2*m + 53. Is m a prime number?
True
Suppose 0 = -2*k - 32 + 82. Is 1*((k - 3) + 1) prime?
True
Let o(n) = -n + 0*n + 0*n + 4*n + 4. Is o(5) composite?
False
Let h(k) = -3*k**3 - 4*k**2 - 3*k - 73. Let b(g) = -g**3 - g**2 - g + 1. Let p(o) = 4*b(o) - h(o). Let q = 42 - 42. Is p(q) a prime number?
False
Is (541/(-7))/(-1) - (-38)/(-133) composite?
True
Let f be 1*(-3)/6*0. Let m = 0 - 1. Is f/m - 1*-2 a composite number?
False
Suppose 0 = r + 5*u - 480 - 478, -r - 4*u + 957 = 0. Is r prime?
True
Let f = 4 + 18. Is f composite?
True
Let f(h) = -h**3 - 5*h - 7. Is f(-3) prime?
False
Let z(k) be the first derivative of k**3/3 + k**2 + 2*k + 1. Let m be z(-3). Suppose m*i - 38 + 3 = 0. Is i a prime number?
True
Is (-20)/3*171/(-12) a prime number?
False
Let o be (0 - -18)*12/24. Let h be (-1 + (-1)/3)*-3. Suppose 4*c + 3*n = 5, h*c - n = -0*n + o. Is c a composite number?
False
Suppose -7*j = -8*j + 4. Suppose 0 = 2*w - j*w + 102. Is w a prime number?
False
Let i(a) = -50*a - 1. Let q be i(-1). Suppose -89 = -w + q. Let d = w - 71. Is d a prime number?
True
Suppose 5*z = 4*n - 45, -3*n + 0*z + 30 = -3*z. Suppose 0 = -v - n*y, -2*y = 4*v + 3*y - 75. Is v composite?
True
Let y = -758 - -2727. Is y composite?
True
Let y = -13 + -2. Is (5/y)/((-1)/111) composite?
False
Suppose 0 = 4*o - 16, -3*o + 2*o = -3*b + 599. Is 1/(4/(b - -3)) prime?
False
Let a = 11 - 7. Suppose -492 = -a*h - 2*i - i, -5*h - 4*