e
Let f(x) = 6*x**2 + 16*x + 1. Let a be f(-6). Suppose 0 = -2*g + a + 169. Is g a composite number?
True
Let b be 7*1*22/77. Suppose -5*h + 16 = -d - b*h, 2*d = -4*h + 18. Is 2 - -2 - 2/d composite?
True
Suppose -6*v = -3*v. Let b be 1*(v - -3 - 3). Suppose b*w + 377 = 3*z - 2*w, 2*w = -8. Is z composite?
True
Suppose -4*i = -3*n + 5591, 3324 = 2*n + 2*i - 408. Is n a composite number?
True
Let d(o) = 555*o - 55. Is d(14) prime?
False
Let k = -333 + 1067. Suppose -k = -2*t - 198. Is t/(-6)*(-9)/6 a prime number?
True
Let t(m) = 10*m**2 - 63*m - 83. Is t(-22) a composite number?
False
Let p be 335 - -2*(-3)/(-6). Let x = 499 - p. Is x prime?
True
Let k be ((-64)/40)/(-1 - (-9)/10). Suppose -2095 = -21*f + k*f. Is f composite?
False
Suppose -4*z = -15 - 1. Suppose -2*q + 12 = z*f, f = 2*q + 3*q - 8. Suppose -3*h - 2*v + 257 = 0, 4*h = -0*h + q*v + 366. Is h a prime number?
True
Let i(u) = -3 + 1 + 5*u - u - u. Let h be i(3). Suppose 11*x - 1524 = h*x. Is x a prime number?
False
Let l be 1434/8 + (-2)/8. Let d = 743 - 443. Let i = d - l. Is i composite?
True
Let w(l) be the third derivative of -l**6/120 + 2*l**5/15 + l**4/4 + l**3/2 + 4*l**2. Let k be w(-5). Suppose k = r + r. Is r prime?
True
Let n be 3 - -1*(3 - 0). Suppose 3*h = n*h - 6. Suppose 0 = h*g - 117 - 149. Is g composite?
True
Let t = -1 + 5. Suppose 8 = 4*h - 4*f, -4 = -t*h - f + 6*f. Suppose -3*n + 72 = -h. Is n a prime number?
False
Suppose -3*k + 0*i = -4*i - 64, 5*i = 3*k - 65. Suppose k = 4*y - 4. Suppose 0 = -4*f + y*f - 518. Is f composite?
True
Is (18254/5)/((-5)/(175/(-14))) prime?
True
Let r be 1*-2 - ((-415)/(-5) - -4). Is (r - -2)*((-208)/(-12))/(-4) composite?
True
Let u(a) = -2*a + 2. Let l(v) = v**2 + 11*v - 11. Let j(i) = 4*l(i) + 22*u(i). Let y be j(-1). Is -1 - (y - -2)*-13 a prime number?
False
Is ((-3)/2 + 1)*(-304788)/22 a prime number?
False
Let c = 214 - 125. Let r = 148 - c. Is r composite?
False
Suppose p = -8 + 11. Suppose -1238 = -o - w + 41, -5114 = -4*o - p*w. Is o a composite number?
False
Let y(x) = 22*x**2 + 45*x - 355. Is y(18) prime?
True
Let m = 58 + -53. Suppose -w - 3156 = -m*a, -4*w - 187 - 448 = -a. Is a composite?
False
Suppose -42*p - 189250 + 1590580 = 0. Is p a prime number?
False
Let i(f) be the third derivative of 5*f**5/6 + f**4/4 - 5*f**3/6 + 19*f**2. Is i(-6) prime?
True
Suppose -19 = -5*w - 14, w - 49 = 4*h. Let c be (-4)/(-14) - (-18)/(-14). Is c*2*402/h prime?
True
Let l be (1 + (-2)/4)*2. Let m be (-1018*l)/(-2) + -3. Is m/10 - 38/(-95) a prime number?
False
Suppose s = 4*f + 181, -6*s + 3*s - 4*f = -575. Suppose -3*v = -0*v + 240. Let u = s + v. Is u a composite number?
False
Suppose 2*k + 5406 = 2*g, -3*g = -5*k + 482 - 8595. Is g a composite number?
True
Suppose -4*y = -g - 1204, -5*y = -3*g - 1760 + 248. Let i = y - -352. Suppose 2*a = -2*a + i. Is a a composite number?
False
Let z(r) = 304*r + 279. Is z(32) a composite number?
False
Suppose -4*m + 0*g - 4 = 3*g, -5*m + 4*g + 26 = 0. Suppose 2*u = m, 4*z - u - 2836 = 2279. Is z composite?
False
Let o(s) = s**3 + 6*s**2 - s - 3. Let b be o(-6). Is (-1)/(((-12)/844)/b) prime?
True
Let v(o) = -o + 74. Suppose 0 = -4*m + 4*x + x - 117, 54 = -3*m - 3*x. Is v(m) composite?
False
Let x be -2 + 5*8/20. Suppose -28 = 4*z - x*z. Is z - -5 - (-91)/1 a prime number?
True
Suppose 51*y - 40*y - 22583 = 0. Is y a prime number?
True
Let l(v) = -v + 1. Let b(h) = h - 9. Let y(g) = b(g) + 6*l(g). Let p be y(-1). Suppose 0 = -5*t - p*j + 153, -j = -3*t - 2*j + 92. Is t prime?
True
Let t(q) = -121*q + 101. Is t(-8) a composite number?
False
Suppose 0*t - 20*t = -101580. Is t a composite number?
True
Suppose 6 + 1 = g. Suppose -g*i + 2*i = -30. Suppose -8*d + i*d = -98. Is d prime?
False
Let z(y) = 206*y + 227. Is z(15) a prime number?
False
Let a(l) = -l**3 + 9*l**2 + 2*l - 10. Let q be a(9). Suppose -3*n = 5*v - q, 7*n + 16 = 2*n - v. Let j(y) = -y. Is j(n) a composite number?
True
Let h(l) = l + 16. Let o be h(-10). Suppose -4*u + 2 + o = 0. Is 3/u*9460/66 a composite number?
True
Suppose 4*m + 3*y = 2547, m + 5*y = 6*y + 628. Is m a composite number?
True
Let k be (-4)/(-6) + (-52)/(-39). Suppose -n - 57 = -k*n. Suppose -u + n = -c, 6*c - 4 = 4*c. Is u a prime number?
True
Suppose 9669 = 4*h - 5*p, 9*h - 10*h + 2406 = p. Is h composite?
False
Let b(z) = -2*z**2 + 15*z - 7. Let c be b(5). Let q(s) = 52*s - 17. Is q(c) prime?
True
Let l be 39/2 - 7/(-14). Suppose -m - l = -6*m. Let r(p) = 2*p**3 - 3*p**2 - 4*p + 3. Is r(m) composite?
False
Suppose -5*v + 6662 = -2*y - 5855, -5*v - 5*y = -12510. Is v a prime number?
True
Let h(o) = o**2 + 10*o + 14. Let l be h(-8). Is l/4*(-173 - -3) a prime number?
False
Let w(j) = 11 - 12 + 17 + 9*j + 6*j + j**2. Let g be w(-14). Suppose 149 = g*h + 1. Is h prime?
False
Let a(p) = p**3 - p**2 + 309. Let t(x) be the first derivative of -x**2/2 - 7*x + 6. Let c be t(-7). Is a(c) a prime number?
False
Let i = -13 + 9. Is 3172/6*(-6)/i a composite number?
True
Let u(a) = -8*a + 1. Let t be u(-1). Let d(p) = p**3 - 9*p**2 + p. Let c be d(t). Is 33/c*(3 - -12) composite?
True
Suppose -5*x + 2545 + 1998 = -2*i, 5*x + 3*i = 4523. Is x a prime number?
True
Let b(w) = 54*w**2 + 25*w + 15. Is b(-4) prime?
False
Let s(b) be the third derivative of -143*b**4/24 - b**3 + 24*b**2. Is s(-5) composite?
False
Let u(w) = -w**2 + 1. Let n be u(1). Suppose 231 = -2*r + 3*r + 2*o, -3*r + 3*o + 720 = n. Is r a prime number?
False
Suppose 0 = -44*m + 115667 - 5535. Is m composite?
False
Suppose 0 = -4*r - 4*r + 4440. Let l = 5 + -1. Suppose -l*u + r = u. Is u a prime number?
False
Let s = -7 + 0. Let m = -7 - s. Suppose 5*g - 177 - 148 = m. Is g a prime number?
False
Let r(b) = b + 9. Let o be r(7). Let a = o + 8. Suppose v + a = 5*v. Is v prime?
False
Suppose 2*m + 3*v + 1334 = -857, -3269 = 3*m + v. Let z = m + 1675. Is z prime?
True
Let i = -21 - -34. Suppose -n = -i - 9. Let o = n + -11. Is o prime?
True
Let b(n) = 5*n - 3. Let p be 2/(-3) + (-28)/12. Let y be b(p). Is 8020/36 - 4/y composite?
False
Let r be (1 - -1)/((-6)/(-15)). Suppose 0 = r*z + 2*a - 3 - 1, -4*z - 3*a - 1 = 0. Let g = z + 21. Is g a composite number?
False
Let l(m) = 1274*m**2 - 77*m - 2. Is l(3) a composite number?
True
Suppose 0 = 36*u - 29*u - 48853. Is u prime?
False
Let o be (-2)/(-7) + (-638)/77. Let i = o + 61. Is i a composite number?
False
Let z be ((-6)/(-30) + 1)*(38 + 2). Suppose -n + z = -91. Is n a prime number?
True
Suppose -o + 13 = 2*o + 5*u, o - u + 9 = 0. Is 11151/7 - o/(2 + -4) composite?
True
Let q = -128 - -133. Suppose 10*z + f = 6*z + 6631, 5*z + q*f = 8300. Is z a prime number?
True
Let w = 8229 + -1282. Is w a prime number?
True
Let k = 15639 + 39597. Is k/180 + (-4)/(-30) composite?
False
Let m(a) = 2*a**2 + 14*a - 5. Suppose 0 = -0*u + 8*u + 80. Is m(u) a composite number?
True
Suppose -4*i = -4 - 4. Let b(v) = -2*v**i + 2 + 3 + 0*v**2 + v**2 + 11*v. Is b(9) a composite number?
False
Suppose -30 = -2*i - p, -p - p + 45 = 3*i. Let x = i - -70. Is x a composite number?
True
Let d(b) = -b**3 - 12*b**2 + b - 7. Let s = 3 - -1. Suppose 9*p = 2*k + s*p + 21, 0 = -2*k - 3*p - 29. Is d(k) a composite number?
False
Suppose 5*m + 4*t = 215937, 5*t + 22452 = -3*m + 152009. Is m prime?
True
Let w(r) = r + 395. Let q(c) = -c**2 - 8*c - 12. Let h be q(-6). Is w(h) a composite number?
True
Suppose 0 = -4*y + 5*g + 5, 0 = -3*y + 5*y - g + 5. Let c(q) = -q**3 + 6*q**2 - 2*q - 22. Is c(y) a composite number?
False
Suppose r - 8597 = 8162. Is r composite?
False
Let c(r) = -r**3 - 11*r**2 + r + 16. Let b = -19 - -8. Let h be c(b). Suppose 4*o = 20, 5*w - h*o - 460 = -40. Is w prime?
True
Let h(c) = c**2 + 2*c - 9. Let q be h(-6). Suppose -2*j = -8, 3*d + j = -q + 94. Is d a prime number?
False
Let c(h) = -2*h + 1174. Let r be c(0). Suppose -15*q + 17*q - r = 0. Is q a composite number?
False
Suppose 0 = 9*c - 0 - 36. Is c/(-12)*(-7504 + -5) composite?
False
Let u = -1175 - -1758. Is u a composite number?
True
Suppose -3*t = 25*t - 443324. Is t prime?
False
Let a be 4/((-4)/(-1)) - -5331. Suppose 9*f - 12992 - a = 0. Suppose 0*m + 4*m = f. Is m a prime number?
True
Suppose 7*y - 5379 = 6220. Is y a prime number?
True
Let f be (6/(-4))/((-222)/(-60) - 4). Suppose -x + 32225 = 4*j, -4*j = -f*x + x - 