 1. Let k be g(3). Let w be 2/(-4) - (-14)/k. Suppose 153 = 4*l - 5*r, -99 = -w*l - 3*r + 9. Is l a prime number?
True
Suppose 2900 = 3*y - x, -13*y - x + 3869 = -9*y. Is y a prime number?
True
Let h = 169 + 718. Is h prime?
True
Let d = -160 - -1247. Is d a prime number?
True
Let j = 686 - 379. Is j a prime number?
True
Suppose -4*n + 4*f + 912 = 0, -5*n + 0*f + 1090 = 5*f. Is n a composite number?
False
Let o(z) be the second derivative of 11*z**3/6 + z**2/2 + 3*z. Is o(6) a prime number?
True
Suppose -4*u + 20 = -0. Suppose -4*w + 3*g + 740 = 0, 7*w - 2*w = u*g + 925. Suppose -5*n = -0*n - w. Is n a composite number?
False
Let w be ((-407)/4)/(3/(-12)). Let t = -217 + w. Suppose -7*y + 2*y + t = 0. Is y composite?
True
Let r(j) be the second derivative of -j + 0 + 2/3*j**4 + 7/6*j**3 + 1/20*j**5 + 7/2*j**2. Is r(-6) a prime number?
True
Suppose 0 = 4*b - 2*b - 6. Let x be (1/b)/(1/15). Is (x/(-2))/((-2)/92) a prime number?
False
Suppose -2*p = -832 + 122. Suppose 375 = 5*v - p. Is v a composite number?
True
Let s(n) = 5 + 0 + 7*n + 0 - 1. Suppose 4*u - 42 = -6. Is s(u) a composite number?
False
Is (-22)/(41/(-13) - -3) a prime number?
False
Suppose i + 12 = 2*q, -i + 5 + 3 = 3*q. Suppose 0 = q*p + 4*m + 52, 5*p + 89 - 24 = 5*m. Let b = 27 + p. Is b a prime number?
False
Let x(z) = -624*z**2 + 2*z + 3. Let j(h) = 1872*h**2 - 5*h - 8. Let r(i) = 3*j(i) + 8*x(i). Is r(-1) a composite number?
True
Let u = -1 + 6. Suppose u*c - 51 = -y, 7*y + 3*c = 2*y + 365. Suppose -2*l - 2*l + y = 0. Is l composite?
False
Suppose 4*i = -i + 370. Is i a composite number?
True
Suppose 6*a - 149 = 3*w + 2*a, -4*w + 4*a - 200 = 0. Let q = -32 - w. Is q composite?
False
Suppose q - 10 = 285. Is q a composite number?
True
Is 2 - (-1 + 0)*(448 + 1) a prime number?
False
Suppose 0 = -8*v + 3153 + 2975. Is v composite?
True
Let r = 5 - 5. Suppose r = 5*k - 4*k - 154. Suppose -2*t - 5*y + k = 0, -2*y = 4*t - t - 209. Is t prime?
True
Is -3 - 3/3 - -25*18 a prime number?
False
Let c(a) = -2*a + 39. Is c(-13) a composite number?
True
Let j = 218 - -153. Is j prime?
False
Let l(w) be the first derivative of -w**3/3 + w**2/2 + 111*w - 1. Is l(0) a prime number?
False
Let g = -15 - -15. Let v = 10 + -8. Suppose g = v*a - 611 + 229. Is a a prime number?
True
Let q = 0 - -3. Let d(x) = x - 3. Let y be d(5). Suppose y*w + 0*m = -2*m + 230, -q*w - 5*m + 345 = 0. Is w prime?
False
Suppose 5*p - 10323 + 3338 = 0. Is p a prime number?
False
Suppose -2*j = 2*j, -3485 = -5*d - 3*j. Is d prime?
False
Let k(s) = -7*s**2 - 3 - s**3 + 0 - 2*s**2. Let g be k(-9). Is 131/2 - g/(-6) composite?
True
Let j(d) = 9*d**2 - 3*d + 3. Suppose 3*b + 5*g = 1 + 1, 3*b - 3*g = 18. Let p be b/10 - 8/(-5). Is j(p) a composite number?
True
Suppose -9*k + 6141 + 2058 = 0. Is k composite?
False
Let p(s) = -s**3 + 3*s**2 - s + 1. Let o be p(2). Suppose 0 = o*x - 40 - 17. Is x prime?
True
Let t(l) = -l. Let u be t(-4). Let x(b) = 109*b - 4. Let a be x(u). Let v = a - 283. Is v a prime number?
True
Let s = 4291 - 1472. Is s prime?
True
Let t(q) = q**2 - 3*q - 3. Let z be t(6). Suppose 392 = w - z. Is w a prime number?
False
Let m be -2*(-1 - 0) + -2. Is -3 + (-1 + 62 - m) a composite number?
True
Suppose 6*j - 73 = 5. Is j a composite number?
False
Let j(r) = -106*r**3 - 2*r**2 - 2*r + 2. Let u be j(-2). Let q = u - 580. Is q + 1/(1/(-1)) composite?
True
Let j(u) be the first derivative of -4*u**2 - 9*u + 2. Is j(-6) prime?
False
Let j(a) = 3*a**3 + 6*a**2 + 6*a + 5. Let l be j(-4). Let g = l - -161. Suppose 0*y = 2*y - g. Is y composite?
False
Let z be 8*(1/2)/1. Suppose z*m - m = 117. Suppose k - m = 16. Is k a composite number?
True
Suppose 0 = 3*p - 5022 - 645. Suppose 0 = -4*s + p + 635. Is s a composite number?
False
Suppose 53 = -o - 0*o. Let s = o - -32. Is (-7)/s + 940/6 a prime number?
True
Let v(g) = 25*g - 1. Let k = 6 + -2. Let a be v(k). Let l = a + -8. Is l a composite number?
True
Let m = -2 - -6. Suppose m*i - 133 = 3*i. Is i composite?
True
Let l(b) = -b**3 - 7*b**2 - 6. Let r be l(-6). Let d = 77 + r. Suppose 0 = 4*x - d - 1. Is x a prime number?
False
Let y = 871 + -584. Is y prime?
False
Let a(p) = 45*p**3 - 2*p + 7. Is a(4) a composite number?
False
Let s = -3 + 2. Let t be -11*(s/1 + -2). Suppose 0 = -3*l - 2*p + t, -2*l - 1 = -3*p - 36. Is l prime?
True
Let i = -2 - -3. Let y = i - -1. Suppose -y*k + 0*k = -4. Is k a composite number?
False
Suppose -358 = -2*m + 4*l, -5*m + 4*l = -2*m - 537. Suppose 5*p - m = -3*z, -z = p - 0*z - 35. Let i = p - 18. Is i prime?
True
Suppose 0*v = -4*h - 5*v + 2, -3*v = h + 3. Let n = h + -3. Suppose n*j + j = 69. Is j composite?
True
Suppose 2 - 4 = -v. Suppose v*n = 8 + 12. Is n composite?
True
Is -1042*((-81)/22 - (-2)/11) a composite number?
True
Is (1561 - (-1)/1) + -1 a prime number?
False
Let f = 0 - -3. Suppose 0 = -3*k - 15, 2*q + 2*k - f*k - 123 = 0. Is q prime?
True
Suppose 5*y + 538 - 2073 = 0. Is y prime?
True
Let g(o) = -o - 5. Let l be g(-6). Let v(z) = 4*z**3 - 2*z**2 + 2*z - 1. Let f be v(l). Suppose 3*k - 50 = f*i + 79, 2*k - 4*i = 78. Is k composite?
False
Suppose -3*p = -326 + 11. Let f = p + -56. Is f a composite number?
True
Let n(y) = y**2 - 2*y - 6. Let z be n(4). Let b(a) = 1 + 8*a + 16*a - a. Is b(z) prime?
True
Let h be 3/(-2 + 21/6). Suppose -h*k - 1 = -3. Is (k + 1)/2*83 a prime number?
True
Let z = 7 - 4. Let w be -3*((-13)/z - -1). Suppose 0 = -3*v - 4*p + w + 9, -2*v = -5*p - 28. Is v a composite number?
True
Suppose -253 - 261 = -2*u. Is u a prime number?
True
Let h(f) = -2*f - 1. Let r be h(-2). Suppose -12 = r*m - m + 5*n, -2*m = 2*n. Is m a prime number?
False
Let x be (-4)/(-2*3/6). Suppose -230 = 2*n - x*n. Is n composite?
True
Let x(a) = 6*a**2 - 16 + 8*a**2 - 7*a**3 + 5*a + 3*a + 8*a**3. Is x(-13) a composite number?
True
Suppose 4*v - 32 = -0*v. Suppose 0*t + v = -4*t. Is 0 + 0 - 154/t composite?
True
Suppose -30 = 4*z - 9*z + u, -10 = -4*z - 2*u. Let a = z - -4. Is a a prime number?
False
Let j = 143 - 225. Let i(u) = u**3 - 2*u**2 + 3*u + 6. Let g be i(5). Let b = g - j. Is b a composite number?
True
Is ((-3)/1)/(18/(-66)) a prime number?
True
Let v(m) = m + 12. Let h be v(-6). Is 2/6 + 112/h a composite number?
False
Suppose -r = -4*r - 4*i, 0 = -2*r - 5*i. Suppose 0*k + 3*k - 6 = r. Is (13/(-2))/((-1)/k) prime?
True
Is (-9)/(-3)*(-395)/(-15) a prime number?
True
Suppose -t = -3, -7*l + 2*l + 145 = 5*t. Is l prime?
False
Suppose 0 = 5*s - 4*u - 8547, -2*s + 892 = 5*u - 2507. Suppose -1194 = -4*k - o, 5*k + 206 = 3*o + s. Is k composite?
True
Let v(i) = 1 + 0 - 4*i**2 + 0*i - 7*i - i**3. Let y(z) = -z**3 + 4*z**2 + 3*z + 4. Let x be y(5). Is v(x) a composite number?
True
Let d = -5 + 162. Is d composite?
False
Let a be 0 + (2 - 1) - 0. Let c be (2 - (0 + a)) + -2. Is (93/12)/(c/(-4)) composite?
False
Let h(n) = -n - 1. Suppose 5*x + 2 = 5*p + 7, 2*x - 18 = -2*p. Let r(o) = -9*o - 6. Let k(a) = p*h(a) - r(a). Is k(7) a composite number?
False
Suppose 0 = o + 2*y - 2, 10 = -2*o + 7*o - y. Suppose p = -2*r + 65, p + 77 = o*p - 4*r. Is p prime?
False
Suppose -4*f + 12 = -0*f. Let j(g) = 9*g. Let y be j(f). Suppose 2*z - 4*c - y = -1, 27 = 3*z - 2*c. Is z a prime number?
True
Let b be (-2)/5 - 232/(-5). Let a = 2 - -1. Suppose 0 = -z + a*z - b. Is z a composite number?
False
Suppose 2*w + 209 = -0*w - g, -5*w - 518 = g. Let u = -36 - w. Is u a prime number?
True
Suppose 2*n - 3*n = -18. Let h = n - 13. Suppose -h*x + 128 = -a, 2*x - 2*a = a + 59. Is x composite?
True
Let t = 9 - -380. Is t composite?
False
Is (0 - -2)*2051/14 a composite number?
False
Let r = -6 - -10. Suppose -63 = -7*i + r*i. Is i a composite number?
True
Let d = -11 - -156. Is d composite?
True
Let k(v) = 2*v**2 - 3*v + 1. Let z be k(3). Suppose n + 21 = -z. Let g = n + 68. Is g a prime number?
True
Let n = 15 + -10. Let g be (2/(-5))/(1/(-5)). Suppose n*y = g*y + 63. Is y prime?
False
Let k be 12/(-30) + 19664/10. Let q = -1317 + k. Is q a composite number?
True
Let p be 9/12 - (-108)/(-16). Let u(n) = -n + 3. Is u(p) a prime number?
False
Let b(m) = 2*m**3 + 4*m**2 - 4*m - 1. Let c be b(3). Let w = -7 - -12. Let l = c + w. Is l composite?
True
Suppose -36 = -2*u - 2*u. Let z be (-6)/(-21) + 382/(-14). Is 2/u + (-669)/z composite?
True
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