178. Let y = n + s. Is y prime?
False
Suppose 5*p = -t + 30, -p - 4*t + 40 = 3*p. Suppose 4*h = p*h - 2*a - 8, a - 10 = -3*h. Suppose 197 = 5*z + 4*w, -h*w - 173 = -6*z + z. Is z a composite number?
False
Suppose 2*l = l, 12 = -3*d - 3*l. Let p(y) = -y**3 + 4*y**2 - 4*y + 5. Is p(d) prime?
True
Let b = 339 - 16. Is b a prime number?
False
Let q(j) = -6*j + 7. Is q(-2) a composite number?
False
Let d = 539 + 2. Is d a prime number?
True
Let h(n) = 59*n**2 - 1. Let r(f) = f**3 + 7*f**2 + 6*f + 1. Let a be r(-6). Is h(a) prime?
False
Suppose -3*r - 4*i = -41, 2*i = -3*i + 10. Let g(x) = 12*x - 9. Is g(r) composite?
True
Is 3628/12*(6 - 3) - 2 prime?
False
Let t = -9 - 0. Let y = t + 19. Is (-4)/y + 111/15 a composite number?
False
Let u = 3 - 1. Let g be 4/u - 4/2. Suppose 0 = -4*p - g*p + 84. Is p prime?
False
Suppose 0 = 7*c - 2*c - 5755. Is c prime?
True
Let i = 0 - 6. Is 2/i + (-166)/(-3) a prime number?
False
Let x = -485 + 3850. Is x a prime number?
False
Suppose -4*h = -3*j - 0*j - 5, 4*j = 3*h - 2. Suppose 5*k - 4*q - 449 = -2*q, k - 97 = -h*q. Is k a prime number?
False
Is (1 + -3)/(18/(-171)) composite?
False
Suppose 0*m - 3*m + 5*y = 981, -2*y - 1604 = 5*m. Let f = -173 - m. Is f prime?
True
Let f be (1 + (-29)/(-2))*2. Let d be (-36)/4 - (1 + 2). Let o = f + d. Is o composite?
False
Let g(h) = 3*h**2 - 14*h + 6. Suppose -21 - 12 = -3*l. Is g(l) prime?
False
Let b(n) = -2*n - 3 - 2*n + 6 - 4. Let s = -2 - 4. Is b(s) a composite number?
False
Let u = 95 - 42. Suppose 15 + u = 2*x. Is x prime?
False
Let d(b) = -b**3 - 6*b**2 - 5*b + 2. Let i be d(-5). Is 2/i*(29 - 6) a prime number?
True
Let x be 1 + (4/(-4) - 337). Is (0 - (2 + -1))*x a composite number?
False
Let m(s) = 5 - 3 + 8*s + 17*s. Suppose 3 = 5*l - 12. Is m(l) a composite number?
True
Let t(o) be the third derivative of 2*o**2 + 0 - o**3 + 1/6*o**4 + 0*o. Is t(4) prime?
False
Let q = 11 + -15. Is (-6)/q*(-2 + 8) prime?
False
Let f(c) = 682*c**3 + c**2 + c - 1. Is f(1) a composite number?
False
Suppose 4*x = i + x - 21, -4*i - 5*x + 50 = 0. Suppose -2*p = p + i. Is (-558)/(-15) - (-1)/p composite?
False
Let d(s) = s**3 + 7*s**2 + 8*s + 8. Let m be 56/(-9) - 6/(-27). Let p be d(m). Let t = p - -17. Is t composite?
False
Is 1950 + (8/(-2))/4 a composite number?
False
Suppose -2*j - 2*j - 337 = -5*z, -5*z + 420 = -5*j. Let d = -57 - j. Is d composite?
True
Let v = -15 + 20. Let k(p) = -p**3 + 4*p. Let z be k(-3). Suppose v*c = z, 31 = 4*g - 2*c - c. Is g a composite number?
True
Suppose 4*l - 12 = -0*l. Suppose -l*d + 533 = 176. Is d a prime number?
False
Let x(m) = -m - 1. Let c(f) be the second derivative of 3*f**3/2 + 3*f**2/2 + f. Let d(n) = c(n) + 4*x(n). Is d(3) a composite number?
True
Let d(p) = 1 - 2*p + 39*p**2 - 2 + 5*p + 0*p**2. Let g be (0 - 0) + 0 + 2. Is d(g) composite?
True
Let j(r) be the second derivative of -2*r**3/3 + 5*r**2/2 + 5*r. Suppose 0 = 2*u + 6 + 10. Is j(u) composite?
False
Let j(y) be the second derivative of y**3/3 + 5*y**2/2 - 2*y. Is j(3) a prime number?
True
Let o = 360 + 14. Suppose -5*k + o = -3*k. Is k composite?
True
Suppose 2*p - 925 = 1009. Is p a composite number?
False
Let s(b) = b - 5 - 6*b - 6 - b. Is s(-10) prime?
False
Is 1*118/6*3 prime?
True
Let h(r) = -25*r + 10. Let a be h(-7). Is a + 2 - (1 + -1) a prime number?
False
Suppose 2*d + 3 = -21. Let f = 22 + d. Is f a prime number?
False
Let l(i) = -9*i. Let k(w) = 143*w. Let o(b) = 4*k(b) + 66*l(b). Let f be o(-3). Suppose -f = -r + 23. Is r composite?
False
Let h = -3 + 5. Is h prime?
True
Let t(f) = 2*f**2 + 3*f + 0*f**2 - 1 - 6*f + f**3. Let c be t(-3). Is -2*c/(6/93) composite?
False
Suppose 5*c + 0*c - 10 = 0. Suppose 3*r + c*r = 175. Is r a prime number?
False
Suppose -710 = -z - 108. Suppose z + 583 = 5*l. Is l prime?
False
Let k = 7 - 5. Suppose 3*w + k*u + u = 6, 0 = w - 2*u - 5. Suppose -7*c = -w*c - 196. Is c prime?
False
Suppose -2*q - 2*j = -6*j - 30, 4*q - 36 = -4*j. Suppose -3*i = -4 - q. Let s(k) = k**2 - 3*k - 3. Is s(i) a prime number?
True
Suppose 2*q + 13 = 3. Let n be q/25 + 16/5. Suppose n*d = 36 - 3. Is d prime?
True
Let d = -353 + 1420. Is d prime?
False
Let r(n) = 2*n**2 - 3*n - 3. Let l be r(-3). Suppose -5*s = -46 - l. Is s prime?
False
Let h(j) = 19*j**2 + 8*j + 14. Is h(-7) prime?
False
Let c be 1/4 - 42/8. Let p be (-1081)/c - (-1)/(-5). Suppose -p + 31 = -5*l. Is l a composite number?
False
Suppose 4349 = 2*y + 151. Is y prime?
True
Suppose 3*t + 152 + 296 = -5*h, -434 = 3*t - 2*h. Is 3/6 - t/4 composite?
False
Suppose 4*i - 11501 = -3433. Is i a prime number?
True
Let m = -284 - -706. Is m a prime number?
False
Suppose -2*f + 1266 = -4*k, -3*f - 5*k + 2721 = 844. Is f a composite number?
True
Suppose 2*r - 2*o - 336 - 68 = 0, 5*o - 826 = -4*r. Suppose 0 = 4*m + 4*p - r, 5*p = 7*m - 2*m - 275. Is m a prime number?
True
Let l be (-6)/(2*3/4). Is 9186/18 - l/6 prime?
False
Suppose -4*u + 7 = -17. Suppose 0 = -3*i - u + 33. Let h = 16 + i. Is h a composite number?
True
Let k(t) = 21*t**2 - 2*t + 3. Let n be k(2). Let o = n - 225. Let s = o - -209. Is s prime?
True
Let g = -5 - -9. Is g/(-22) + 140/44 prime?
True
Is (-17 - -8 - -10)*(1 + 630) composite?
False
Suppose -4*w + 10 = g - 2*w, 0 = 2*g + 5*w - 23. Suppose -3*a = -4*i + 4, 0 = 5*i - g - 1. Suppose a = -2*c + 179 - 69. Is c a prime number?
False
Suppose i = -3*t + 5*t - 11, 0 = i - 3*t + 14. Let v(x) = -x**3 - x**2 + 8*x + 7. Is v(i) a prime number?
True
Let y = 5 - 2. Suppose 0 = -5*x + 5*h + 40, x - 10 - 1 = 4*h. Let o = x + y. Is o composite?
True
Suppose 2*m - 4*y = -20, 5*m - y = -0 - 5. Suppose m = -5*g + 4*g - 12. Let w = 18 + g. Is w a prime number?
False
Let g(o) = 140*o. Let m be (-5)/(-20) + 3/4. Let x be g(m). Suppose -50 = -4*s + r + 59, x = 5*s - 2*r. Is s a composite number?
True
Suppose h + 60 = 3*h. Is (15/(-6))/((-3)/h) composite?
True
Let n = 4 - 2. Suppose 0 = n*l - l + 2*r - 76, 5*l = 4*r + 422. Is l composite?
True
Is ((-2008)/(-6))/(4/6) composite?
True
Is ((-2)/4)/((-12)/10248) prime?
False
Let g(z) = 10*z**2 - z + 3. Let d be g(-3). Let w = 143 - d. Is w a composite number?
False
Let d(q) = q**3 + 10*q**2 + 9*q - 2. Let n be d(-9). Is n + 5 + 64 + 0 a composite number?
False
Suppose -3*y + 381 = -0*y. Is y a prime number?
True
Let i(c) = -c**2 + 9*c + 2. Let l be 222/24 + 2/(-8). Is i(l) a prime number?
True
Let k = 2 + 3. Suppose 3*x - k = -11. Is (2 + -6)/(x/5) a prime number?
False
Let a(x) = 201*x**2 + 5*x + 3. Let q(s) = -67*s**2 - 2*s - 1. Let k(j) = 3*a(j) + 8*q(j). Let n be (2 + -1)/(2 + -1). Is k(n) composite?
False
Let a(f) = -34*f - 1. Is a(-7) a prime number?
False
Let s(v) = -22*v - 1. Is s(-2) composite?
False
Let t = 0 + 3. Suppose z + 0*o - t*o - 99 = 0, 4*z = 3*o + 378. Is z composite?
True
Let x(c) = -58*c + 3. Let l be x(-6). Suppose 3*a - l = -2*y, -112 = -0*a - a + y. Is a prime?
False
Let u(n) = 6*n**2 + n - 6. Is u(5) composite?
False
Let o be (-6)/(-9) + 211/3. Suppose -3*y + 5*k + 35 = 0, 5*y + 2*k - o = 4*k. Is y a composite number?
True
Is 9000/18 + (4 - 1) a prime number?
True
Let h(x) = x + 6. Suppose a = 2*j + 2 + 3, -5 = -3*j - a. Let g be h(j). Let r = g - -3. Is r composite?
True
Let v be (2/(-8))/((-7)/17948). Suppose -414 = -5*x + v. Is x prime?
True
Let g = -1479 - -3402. Suppose -175 + g = 4*k. Is k a composite number?
True
Let r = 204 + -123. Suppose r = 3*u - 504. Let h = 274 - u. Is h a prime number?
True
Suppose 2*b - 3*m + 8 = 0, -4*b - 4 = -m - 8. Let v = b - 1. Is ((-345)/(-3))/(2 - v) a composite number?
True
Suppose m = 5*l - 941, -3*m + 604 = 2*l + 214. Let i = l - 76. Is i composite?
False
Let o = -3876 + 7149. Is o a prime number?
False
Let x(n) = -n**3 + 4*n**2 - 3*n - 2. Let m be x(6). Let g = -37 - m. Is g a prime number?
False
Suppose -1044 = -5*g + 611. Is g prime?
True
Is 1*(2 + -6 + 483) prime?
True
Let h be (10/(-2))/(1 + -2). Suppose 0 = h*a + 5*k - 3510, -4*a + 2815 = -2*k - k. Is a/5 - 2/(-5) a prime number?
False
Suppose -3*n = 66 + 72. Let r = n + 113. Is r prime?
True
Let v = -98 - 1. Let x be (-2)/9 - 319/v. Suppose r = x*r - 106. Is r a prime number?
True
Let t = 1409 - 720. Is t a composite number?
True
Let x = -60 - -102. Let a = x + 113. Is a prime?
False
Suppose 3*w + w + 2*d = 22, 0 = w + 4*d - 23. Su