be the second derivative of 0 + 1/2*u**2 + 7/10*u**5 + 1/12*u**4 - 1/6*u**3 + 2*u. Is g(1) composite?
True
Suppose 5*b - 36 - 89 = 0. Let p = b - -6. Is p a composite number?
False
Let x = -4 - -12. Suppose j - x - 7 = 0. Is j a prime number?
False
Suppose -2*g + 5*i - 2 + 10 = 0, -g - 11 = 5*i. Let p be g*12*(-2)/4. Let q(b) = 3*b**2 - 7*b + 1. Is q(p) a composite number?
False
Let n = 11 + -9. Suppose -502 = -n*a + 4*q, -q = 3*q. Is a prime?
True
Let i = 115 + -41. Is i prime?
False
Let r(x) be the second derivative of -x**4/12 + 13*x**3/3 - 15*x**2/2 + 5*x. Is r(10) a prime number?
False
Suppose 0 = 2*a - 49 - 81. Is a a composite number?
True
Suppose -o = -2*z - 7, z = 1 - 3. Let m(h) = -7*h + 4 + 0 + 6 - o. Is m(-6) prime?
False
Suppose 7*h - 2*h = 0. Suppose -3*t - 4*j + 6*j = -5, h = -5*t + 4*j + 7. Is t composite?
False
Suppose -4*t + 16 = 2*g, -6*t + 3*g + 12 = -3*t. Suppose -d = t*d - 905. Is d a prime number?
True
Let y = -184 + 297. Is y a composite number?
False
Let g(o) = 5*o**2 - o + 3. Let z be g(-2). Suppose -2*k = -1 - z. Is k prime?
True
Let w be (-1555)/25 + (-2)/(-10). Let m = w - -225. Is m composite?
False
Suppose 0 = 3*a - 6*a + 9. Suppose a*c - 200 = c. Suppose -c = -3*m + 5*y, -5*m + 173 = 2*y - 4*y. Is m composite?
True
Let g = 1952 + -693. Is g prime?
True
Let o(j) = 11*j - 10. Let a(b) = 16*b - 15. Let l(h) = 5*a(h) - 7*o(h). Is l(10) prime?
False
Suppose -2*s + 138 = -308. Is s composite?
False
Suppose 0 = -4*b + 12, 0 = -4*j - b - b + 18. Let x = -4 - -6. Suppose x*g = -j*g + 130. Is g a prime number?
False
Let s be (-2)/6*-6*2. Suppose 0*c - s*c + 161 = g, 2*g + c - 294 = 0. Is g a composite number?
True
Let l = -1 - -4. Suppose -2*v - 3*v = l*w - 149, -w - 95 = -3*v. Is v a prime number?
True
Let u be -8*(0 - 1/2). Suppose -6 = -y - u*c + 11, 0 = -3*y + 4*c + 131. Let m = -22 + y. Is m a prime number?
False
Let o = 0 - 5. Is ((-15)/(-2))/o*-2 composite?
False
Let f(a) = -25*a**3 + 4*a**2 + 3*a + 1. Is f(-2) a composite number?
False
Is -1*2*1194/(-12) prime?
True
Is (-191)/(1 + 1 - 3) composite?
False
Let b = 10 - 7. Suppose b*i - 195 = 3*k, -4*i + 3*i = 5*k - 65. Is i a prime number?
False
Let g = 9 + -6. Let w(c) be the third derivative of c**6/60 - c**5/30 + c**4/12 - c**3/2 - c**2. Is w(g) a composite number?
True
Let d(m) = 26*m - 5. Let o be d(10). Let h = 204 - 332. Let k = h + o. Is k a composite number?
False
Let n(f) = -f**3 - 3*f**2 + f - 3. Let k be n(-4). Suppose 2*b + 23 = 5*u + 8, -3*u + k = -3*b. Suppose -5*j + 3*j + 98 = b. Is j a prime number?
False
Let c be 2/12 - 11/(-6). Suppose 5*t + c*s = 2*t + 709, -s + 704 = 3*t. Is t composite?
False
Let a(h) = 6*h**2 + 12*h - 7. Is a(-11) composite?
False
Let x = 72 - -70. Is x composite?
True
Suppose 3*c + 17 + 11 = -2*d, -c + 9 = -3*d. Is 3/(-9) + (-320)/c a composite number?
False
Suppose 0 = -7*z + 980 + 602. Suppose 246 + z = 4*a. Is a prime?
False
Suppose -7*k + 2*k = 1170. Let d = -43 - k. Is d prime?
True
Let u(x) = -81*x**3 - x**2 - 6*x - 5. Is u(-3) composite?
True
Let s(z) = -z + 2. Let r be s(-3). Let f = 3 - r. Is (19/2)/((-1)/f) prime?
True
Let k = -10 - -13. Suppose 49 = s - u, k*s + u = -2*s + 245. Is s composite?
True
Let s = 823 + -210. Is s prime?
True
Let o be (-12)/30 - 1117/(-5). Suppose -4*b - 2*f + 235 = -b, 4*f + o = 3*b. Is b composite?
True
Suppose 2*v + v - 21 = 0. Suppose -4*s - 93 = -v*s. Is s composite?
False
Let p = 110 - 57. Suppose s + 4*d - 144 = p, 0 = -s - 3*d + 199. Is s composite?
True
Is 2/5 + (-27973)/(-55) composite?
False
Let k = 17 - -546. Is k prime?
True
Let u = 13 + -12. Let t be (-1)/(-4) - (-142)/8. Let j = t + u. Is j prime?
True
Suppose 5*t = -4 + 49. Suppose -d + 3*d - a - 58 = 0, 0 = -5*d - a + 138. Let r = d - t. Is r prime?
True
Let h(z) = 2*z**2 - 4*z - 1. Let x(p) = -p**2 + 5*p. Let v(m) = 3*h(m) + 4*x(m). Let f be v(-7). Suppose d = 116 - f. Is d prime?
False
Let i = 218 - 552. Let a = -207 - i. Is a a composite number?
False
Is (-14)/(3*10/(-615)) a composite number?
True
Suppose 1735 = 4*i + 3*d - 33, d + 449 = i. Let y = i + -244. Suppose -5*c + y = -4*t, 2*c - 64 = 2*t + 18. Is c prime?
True
Suppose -1483 = -5*v - 218. Is v prime?
False
Suppose -5*q = -5 - 15. Suppose -3*v - 5*i - 178 = -554, q*i = -4*v + 504. Is v composite?
False
Suppose -5*s + 73 = q - 319, -3*s = -12. Suppose 0 = 4*x - 0*x - 2*z - q, -5*x - 4*z = -439. Is x a composite number?
True
Let v = -26 + 49. Is v a prime number?
True
Let v be -17*1/(-4)*-4. Let w = v + 130. Is w a prime number?
True
Let i(w) = -2*w**3 - 16*w**2 - 11*w + 17. Is i(-16) composite?
False
Let c = 8 + -6. Suppose -5 - 1 = c*n. Is 250/8 + n/12 a prime number?
True
Suppose -5*m - 3*y = -8*y + 15, -2*m - 21 = -5*y. Let v(k) = k**m + 0 - 3*k + 4*k - 7 + 0*k. Is v(-5) composite?
False
Suppose 3*r = w - 4*w + 249, -3*r + 5*w + 281 = 0. Is r a prime number?
False
Let p(x) = -2*x**2 + 5*x - 15. Let j(c) = c**2 - 4*c + 14. Let n(f) = -4*j(f) - 3*p(f). Is n(10) a prime number?
True
Let l = 1094 - 579. Is l a composite number?
True
Let o(n) be the first derivative of n**4/4 + n**3/3 + n**2/2 + 19*n + 2. Is o(0) a composite number?
False
Suppose 5*z - 200 - 5 = 0. Let h = -39 + 11. Let q = z + h. Is q prime?
True
Suppose -2*j = -j - 65. Suppose 4*f + j = 5*f. Is f a prime number?
False
Suppose 3*l + 4*l - 11851 = 0. Is l prime?
True
Let q(v) = 5*v**2 + 6*v + 11. Let a be q(-7). Let h = 357 + a. Is h a composite number?
False
Let g = -338 + 825. Is g a prime number?
True
Let m = -534 - -956. Is m a prime number?
False
Let b(w) = -w**2 - 7*w + 5. Let y be b(-7). Let v(h) = h**3 - 5*h**2 - 2*h + 6. Let m be v(y). Is 1/m - 114/(-8) composite?
True
Let h be (-36)/10*450/(-27). Let z be h/42*(0 - -7). Let t(k) = k**2 + 3*k - 3. Is t(z) a prime number?
True
Suppose 6*o - 2*o + 28 = -c, c - o = -3. Let s be 1/4 + (-198)/c. Suppose -5*r + 70 = -f, -2*f - s = -3*r + 2*f. Is r prime?
False
Let i(n) = 2*n**3 - 10*n**2 + 9. Is i(7) prime?
False
Suppose -d = 3*d - 48. Suppose 4*z + d = 4*h, -3*z - 6 = -3*h + h. Suppose h*t = 101 - 26. Is t composite?
True
Let y be 6/5*(0 + -5). Let a be (15/y)/(2/4). Is (-1)/5 + (-186)/a composite?
False
Let b(v) = -1 - 28*v - 4 + 2. Is b(-4) composite?
False
Suppose 0 = u + 2*n - 133, 3*n + 245 = u + u. Is u prime?
True
Let i = 17 - 7. Let x = i - 6. Suppose x*b - 23 = -7. Is b a composite number?
True
Suppose 5*q + 0*c = -c - 1783, -5*q - 4*c = 1792. Let n be (9/(-6))/(6/q). Suppose n = 4*a - 123. Is a composite?
False
Let y = 10 - 8. Is 109 - ((y - 4) + 0) a prime number?
False
Let w(r) = -r - 1. Let m be w(3). Let p(o) = -o**2 - 6*o - 6. Let n be p(m). Suppose k = -5*t - n*k + 12, -2*k = 2*t - 4. Is t prime?
True
Suppose 3*y - 2937 = -3*r - 0*r, -6 = -3*y. Is r a prime number?
True
Let o(r) = -r**3 + r**2 - 2. Is o(-3) a prime number?
False
Let j(s) = s**2 + 2*s + 3. Let t be j(-3). Let w(o) be the second derivative of o**3/6 + 5*o**2/2 + 12*o. Is w(t) a composite number?
False
Let b be ((-87)/4)/(1/(-4)). Suppose 2*c - 5*v = b, c + c - v - 67 = 0. Is c composite?
False
Suppose -7*q - 60 = -193. Is q composite?
False
Suppose 672 = 38*p - 32*p. Let c = 597 - 322. Let x = c - p. Is x a composite number?
False
Let w be 3/(11/4 + -2). Let i(d) = -d**3 - 14*d**2 + 6*d + 9*d**2 + 2*d**3 + 0 - 1. Is i(w) a composite number?
False
Suppose 3*j - 286 = 4*q, 191 - 1 = 2*j - 3*q. Let d = 172 + -25. Let l = d - j. Is l prime?
False
Let s = 1936 + -1059. Is s prime?
True
Let u(j) = 7*j**2 - 3*j - j**3 + 26 - 35 + 7*j. Let c(s) = -s**3 + 3*s**2 + s + 1. Let h be c(2). Is u(h) a composite number?
False
Let f(j) be the third derivative of 71*j**4/24 - j**3/3 + 3*j**2. Is f(3) a prime number?
True
Let x(o) = -38*o + 1. Let m = -13 - -27. Suppose 0 = -2*h + 3 + 3, m = -c + 4*h. Is x(c) composite?
True
Suppose -16 = 4*n - 4, -3*n - 241 = -4*a. Is a composite?
True
Let f be -4 - ((-1 - -1) + 54). Let a = f - -393. Is a prime?
False
Let u(n) = n**2 - 6*n + 1. Let c be 0/2 + 6/2. Let a be u(c). Is a/2*131/(-4) a composite number?
False
Is 620/2 + 2/(8/(-12)) composite?
False
Let u = -4 + 41. Is u prime?
True
Let o(q) = 105*q. Let a be o(-4). Let b = -127 - a. Is b prime?
True
Let i = 110 - 78. Suppose 0 = -4*v - 4*j + i, 3*v + 9 = 5*j - 7. Suppose g - 32 - 