 1. Let c be j(-3). Let l be w(c). Suppose 6*s - 2*s = l. Is s a prime number?
True
Let g(y) = -y**3 + 3*y**2 + 5*y - 1. Let a be g(4). Let u(x) = 2*x**2 + x - 2. Is u(a) a composite number?
False
Let b(c) = c. Let v be b(2). Suppose -9 = -v*n + 1. Suppose -n*p + 178 = -3*p. Is p a prime number?
True
Suppose -15 = -11*y + 6*y. Is (1 + -4)*(y + -16) a prime number?
False
Suppose 3*g - 461 = 1315. Suppose 3*v + d = g, -4*v + 2*d + 2*d + 816 = 0. Is v a prime number?
True
Suppose -2*k + 7*m + 1152 = 4*m, 5*m - 2855 = -5*k. Is k prime?
False
Suppose -3*c - 412 = -7*c. Is c prime?
True
Let f be ((-3)/(-6))/(1/4). Suppose 0 = -2*y - f*y. Is 21*2 - -1 - y a composite number?
False
Suppose -3*o - 5 = 10. Let p(c) = -c**3 - 3*c**2 - 5*c + 4. Is p(o) composite?
False
Let m = -802 - -1319. Is m prime?
False
Let f(u) = -2*u + 9. Let l be f(7). Let g = -5 - l. Suppose 0*a = -2*y - a + 101, g = -2*y + 5*a + 131. Is y composite?
False
Suppose -c + 5*c = 296. Let s = c + -41. Is s prime?
False
Let s(t) = -t**2 - 12*t + 15. Let j be s(-13). Is j/7 - 2530/(-14) prime?
True
Is (-7 - 10)/(-2 + 386/194) prime?
False
Let y be 17/2*(-8)/(-4). Let m = 62 - y. Suppose 4*d - 8*d + 50 = 2*v, -2*v + d + m = 0. Is v composite?
False
Let w(s) = s**2 + 2*s + 18. Is w(-13) a prime number?
False
Let k(n) = -3*n**3 + 2*n**3 + 9*n**2 + 11 - 2*n + n. Let a be k(9). Suppose 3*p = -a*p + 125. Is p a composite number?
True
Let d(z) = -z**2 - 4*z + 4. Let p be d(-5). Is p/((-2)/(-226)*-1) a prime number?
True
Let o(p) = -p**2 - 10*p + 7. Let c be 0 + 0 - (-50)/(-5). Is o(c) composite?
False
Let b = -7 - -13. Suppose 4 - 2 = -2*i - 4*y, 4*y = -5*i - 23. Let w = b - i. Is w a prime number?
True
Suppose 14 - 34 = -5*g. Let w(v) = 2*v - 13. Let h be w(9). Suppose c + t = -h + 73, 2*c = g*t + 130. Is c composite?
False
Let a(r) = -13*r + 16. Is a(-9) a prime number?
False
Let d(s) = 72*s - 15. Is d(9) composite?
True
Let n(q) = -423*q**3 - 1. Let c be n(-1). Suppose 0*i = 2*i - c. Is i prime?
True
Suppose 3*l - 17 = 1. Suppose l*r - 2*r = 16. Is (r/(-6))/(10/(-195)) a composite number?
False
Is (265 - (1 + -4))/2 composite?
True
Let c(x) = -x**2 - 3. Let g be c(0). Is (-262)/(-8)*(1 - g) a prime number?
True
Let t(o) = o**2 + 46. Suppose c = 4*g + 16, -21 = -3*c + 5*g - 1. Is t(c) a composite number?
True
Suppose -5*x + 195 = 5*p, 0*p - 3*x + 74 = 2*p. Is p prime?
True
Let c(x) = x**3 + 18*x**2 + 16*x + 12. Is c(-15) a prime number?
False
Suppose 3*h - 3*b = 999, 0 = -5*h - 3*b + b + 1700. Suppose -3*l - 422 = -l. Let v = l + h. Is v a composite number?
False
Let m(y) = -y**2 - y**3 - 2 + 2*y - 3*y**3 + 3*y**3 - y. Is m(-3) a prime number?
True
Let f = -5 + 8. Suppose -f*h = -4*u + 348, 3*u + 0*h - 2*h - 262 = 0. Let s = u - 59. Is s a prime number?
True
Is 3 - ((1 - 1) + -36) a composite number?
True
Let s(p) = -16*p. Let t be 0 + -2 + (3 - 2). Let y be s(t). Suppose -8 = -4*j + 2*a + 2*a, -a = 2*j - y. Is j prime?
False
Is (-99 + -2)*(-12)/4 a prime number?
False
Suppose -3*i - 5*b = -2710, 3*i - 195 = 3*b + 2475. Is i a composite number?
True
Is 3/(-2) + 1/(6/4323) composite?
False
Suppose -2*s = -5*s. Let c(j) = j + 455. Let v be c(s). Suppose 2*d = -3*d + v. Is d composite?
True
Suppose 5*w - 131 = 4*w. Is w a prime number?
True
Let q be (-2)/9 + 44/36. Suppose -2*a + 3*m = -3 - 7, m = 5*a + q. Is -1 - -59 - (0 + a) a prime number?
True
Suppose 3*z = 2*z. Let h = 18 + -15. Suppose -2*r + 3*r = h*k - 34, -4*k + r + 47 = z. Is k prime?
True
Let l = -23 + 15. Is ((-4)/l)/((-3)/(-870)) a prime number?
False
Suppose -4*p + 10735 - 3795 = 0. Is p a composite number?
True
Is 1/(-11) + (-21960)/(-165) composite?
True
Suppose -1011 - 191 = 2*o. Let n = 415 + o. Let b = -109 - n. Is b a prime number?
False
Suppose 3*x + 5*a - 39 = 0, a + 2 = -4*x + 71. Suppose -o - x = -4*g, 5*o - g = g. Suppose -31 = f - o*f. Is f a prime number?
True
Suppose 3*u - 34 = 2*p - 0*p, -3*p + 51 = 4*u. Is (u/8)/((-9)/(-348)) prime?
False
Let m(z) = -z**3 + 10*z**2 - 8*z - 5. Let y be m(9). Suppose 13 = y*d - 47. Is d a prime number?
False
Suppose 3*t + 3*h = 24, 5*h + 3 = 3*t + 19. Suppose -3*f = -9 - t. Is (-4)/(-8) + 130/f composite?
True
Let z(l) = 3*l**3 - 5*l**2 - l - 7. Let c be z(5). Suppose 3*q - y = c, -318 = -4*q - y + 3*y. Is q a prime number?
True
Let v = 919 + -542. Suppose 0 = -3*d + v + 70. Is d a prime number?
True
Let d = 6 + -3. Suppose 9*p - 4*p = -5*x + 430, d = p. Is x a prime number?
True
Let m(f) = -f - 1. Let c be m(-6). Suppose 4*o - 12 = -c*y, -1 = 4*o + 4*y - 13. Is o prime?
True
Suppose -3*j + 3789 = -3*r, -2*j + 3813 = 2*r + 1279. Suppose j = 5*s + 2*i, 3*s + 459 - 1222 = -2*i. Is s a prime number?
True
Let w(m) = -2901*m - 2. Is w(-1) a composite number?
True
Suppose -5*q + 12*q - 3479 = 0. Is q a prime number?
False
Let v be (-1 - 0)/((-2)/2). Let t be (3 - v)/(2 + -3). Is t/(-8) + 70/8 composite?
True
Let c(i) = -i**2 - i + 36. Let m be c(0). Let z = m + 43. Is z composite?
False
Let k = 69 - -5. Is k prime?
False
Is (-3)/7 - 16080/(-84) prime?
True
Let d be (-1)/(-4) - (-33)/12. Suppose s - 3 = -5*l + l, 0 = l - 2*s - 3. Is 0*l/d - -19 prime?
True
Let u be (-7)/((5 + -2)/(-3)). Suppose 2*d + 3 = u. Suppose 4*m = w + 215, m - d*w = -0*w + 59. Is m prime?
True
Suppose 54 + 37 = 3*q + a, -99 = -3*q + 3*a. Let y(k) = 0*k - k + 1 - q*k**3 + 2*k. Is y(-1) prime?
True
Suppose -4*n = 3*l + 576 - 2473, -n = 3*l - 1903. Is l a prime number?
False
Let m(b) = 15*b + 43. Is m(6) a prime number?
False
Let j(f) = -f + 10*f**2 + 7*f - 2 - 3*f - 2. Let k = -1 - 2. Is j(k) a composite number?
True
Suppose 4*q + 5*a - 412 = 4, a + 222 = 2*q. Is q a composite number?
False
Let g = 0 - -5. Suppose -4*z - n = z - 13, g*z - 2*n - 4 = 0. Suppose u + 33 = 5*a + z*u, 5*u = 2*a + 3. Is a composite?
True
Suppose 3*z + 80 = 2*z. Let d = 11 + -52. Let b = d - z. Is b prime?
False
Let h(z) be the second derivative of z**3/6 - 3*z**2 - 2*z. Let y be h(7). Suppose -g + y = -14. Is g a prime number?
False
Suppose -4*p + 8*q - 3*q = -5707, -6 = 2*q. Is p composite?
False
Let h = -3 + 4. Suppose -r - u = 0, h - 3 = 4*r + 5*u. Suppose 4*c - r*j = -c + 74, 3*j = 4*c - 62. Is c a composite number?
True
Let a(l) = -l - 3 - 3 + 3 + 3*l. Let f be a(4). Suppose f*y = 2*y + 57. Is y a prime number?
True
Suppose -3*g = 12, 3*k - 3*g = 8*k - 2033. Is k a composite number?
False
Let f(z) = 16*z**3 + 2. Let l be f(2). Suppose -3*r - 2*r + l = 0. Is r composite?
True
Let v(s) = s**3 + 6*s**2 - 7*s - 9. Let r = -11 + 5. Is v(r) prime?
False
Suppose -4348 = -9*y + 5*y. Is y prime?
True
Let r(y) = y**3 - 3*y**2 - 2*y - 5. Let v(z) = -2*z**3 + 5*z**2 + 3*z + 11. Let g(w) = -13*r(w) - 6*v(w). Is g(8) prime?
True
Let v(t) = 15*t**3 - t**2 - 3*t + 4. Is v(3) a composite number?
True
Let q(u) = -317*u + 4. Is q(-3) composite?
True
Let s(p) = p - 5. Let t be s(5). Suppose -4*g = 4*a + 200, -5*a + t*g = -2*g + 278. Let k = -32 - a. Is k prime?
False
Suppose 2*t - 7 = 1. Let w = 6 - t. Is w a prime number?
True
Let w be ((-3)/(-2))/((-1)/(-2)). Suppose w*o + 103 = 844. Is o prime?
False
Let o = -664 - -1035. Let l = 608 - o. Is l a composite number?
True
Let f = 7240 - 3477. Is f a composite number?
True
Suppose 0*m + 2*m + 3*s - 277 = 0, s = 2*m - 265. Let o = 219 - m. Is o a prime number?
False
Let j(k) = -23*k. Let f be 6/(-2) + (0 - 2). Is j(f) prime?
False
Let r(f) = f**2 - 1. Let z(p) = 4*p**2 - 8*p - 2. Suppose 4*s - 3*s = 3. Let y(x) = s*r(x) - z(x). Is y(5) prime?
False
Let c(u) = -u**3 - 4*u + 1. Suppose -5*g + 9 = -2*g. Let w be c(g). Is 0 + 1 - w/1 a prime number?
False
Suppose 4*l = 9 - 1. Let q(a) = -2 - 7*a - 2*a - l*a. Is q(-5) a prime number?
True
Let t = -4 + 6. Let p be t/(-1) - (2 + -1). Is 2/p*726/(-4) composite?
True
Is (-1)/((-5)/4765) - -2 a prime number?
False
Suppose 4*t + y = 44, -2*y + 33 = 2*t + t. Suppose t*l - 187 = 10*l. Is l prime?
False
Suppose 0 = 5*t - 602 - 1383. Let f = -276 + t. Is f composite?
True
Let h(d) = 0*d - 2*d + 4*d + 4*d**3 - d**2 - 1 - d. Is h(1) a prime number?
True
Suppose 3*b = 6*b - 573. Is b composite?
False
Suppose 9 = -3*q + 2*t, 2*q = -t + 4 - 10. Suppose -5*j - 5*m = 1850, 20 = 3*m + m. Is (j/6 + q)*-2 prime?
True
Suppose -10 = -3*r + 2. Let g(d) = -3 + 6 + 2 + r*d. Is g(4) c