
False
Let g(w) = w**3 - 8*w**2 + 14*w + 10. Let u be g(5). Suppose x + 2*c + c - 394 = 0, u*x - 2040 = -c. Is x composite?
False
Suppose 2*y - 6 = 0, 1571 = -2*z - 2*y + 18159. Suppose -3*a - 1161 + 6114 = 3*v, -z = -5*v + 4*a. Is v composite?
True
Let s(t) = 177*t**2 - 2*t + 19. Let a = -102 + 162. Suppose -9*w + a = 6*w. Is s(w) a composite number?
False
Suppose 0 = -3*i - u + 16793, 0*u = -4*i - 4*u + 22380. Is i prime?
False
Suppose 0 = -j - 10 + 29. Suppose 4*a = -3*x + j, a - 4*x - 26 = -a. Suppose -a*r = -0*r - 9905. Is r a composite number?
True
Let h(a) = 45*a**2 + 4*a - 2. Let b(v) = v**2 + 13*v - 27. Let c be b(-15). Let o be h(c). Let y = 732 - o. Is y prime?
True
Suppose 262*n + 1197425 = 287*n. Is n composite?
True
Let k(l) = l**3 + 37*l**2 + 81*l + 58. Let q = -969 - -936. Is k(q) a composite number?
False
Let j(h) = h**3 - 6*h**2 - 7*h - 2. Let l be j(7). Suppose -2 = 5*s + 3. Is l - s - (1 + -1361)/4 a prime number?
False
Suppose -307*s = -310*s - 25083. Is 2*(-1 - s/6) a composite number?
True
Let r be (60/(-28) - -2) + (-145974)/(-21). Suppose 2511 = 6*p - r. Is p prime?
False
Is ((-3)/(-18))/((-6)/24993)*-1028 a composite number?
True
Suppose 3*c = k - 11683, -6*c + 46666 = 4*k - 7*c. Is k prime?
False
Let y(s) = s**2 + 8*s + 11. Let u be y(-6). Is ((-19218)/(-12))/(u/(-2)) prime?
True
Suppose -100541 = -n + 2*z, 16*n + 5*z - 201064 = 14*n. Is n composite?
False
Let i be (-13610)/(-7) + 5 - 4/14. Suppose -3*z - 15 = -0, n = 2*z + i. Is n a prime number?
False
Suppose -2*m = -3*s - 65, 115 = -5*s + 4*m + m. Let j(v) = v**3 + 27*v**2 + 67*v + 42. Is j(s) prime?
True
Let p be (-1 + (2 - 9))*(-1358)/4. Let f = -243 - p. Let x = f + 4320. Is x prime?
True
Let u = 307252 - 438300. Is ((-27)/108)/(2/u) composite?
False
Suppose -s = -5*i - 3 + 365, i - s = 74. Let h = 80 - i. Is 4/h - (11590/(-4) + -1) prime?
False
Suppose 37 - 1 = 4*d + 4*k, 2*d - 19 = -3*k. Suppose -13*u + d*u + 22835 = 0. Is u a composite number?
False
Let z(c) = c**3 - 3*c**2 - c - 21. Suppose -3*u = 8*u - 4*u. Let k be z(u). Is k + 26 + 1432/2 composite?
True
Suppose u - 2*q = 5, -u + 4*q - q = -9. Let c be (-10)/4*8/12*u. Suppose f + 3*f = -3*r + 841, 4*f - c*r = 849. Is f a composite number?
False
Suppose -727*g = -742*g + 210. Let k(d) = -d**2 + 9*d - 8. Let x be k(7). Suppose -x*c - 6064 = -g*c. Is c prime?
False
Is ((-625776)/96*(2 + -24))/1 prime?
False
Let t be ((-1)/(6/(-54184)))/((-82)/(-369)). Suppose 8*s - 4*s + 20344 = 2*n, 0 = -4*n - 2*s + t. Is n a prime number?
False
Suppose -9*j + 401132 = 15*j - 409852. Is j a prime number?
True
Let k(h) be the third derivative of -3/8*h**4 + 0*h + 0 + 4/3*h**3 - 1/60*h**6 + 19*h**2 - 2/15*h**5. Is k(-5) composite?
False
Suppose -51*s - 27469 = -64*s. Let j = -994 + s. Is j a composite number?
True
Suppose 4*u + 2*y - 96882 = 0, 2*u - 8*y - 48444 = -10*y. Suppose 0 = -16*q + 23365 + u. Is q prime?
False
Let x = -8149 - -12648. Is x prime?
False
Let i(u) = -6286*u**3 - 3*u**2 + 3*u + 6. Let m be i(2). Is (m/12 - -1)/((-10)/30) a composite number?
False
Suppose -7*l - 14511 = -210. Let k = -841 - l. Is k a prime number?
False
Let q(c) = 4*c**3 + 8*c**2 + 4*c + 6. Let s be q(-5). Let o be -5 + (0 - 2492/(-4) - -3). Let u = o + s. Is u composite?
False
Let s = -96663 - -278374. Is s prime?
True
Let w = 2217 - 1118. Is w a prime number?
False
Suppose -5*y + 56*y - 102 = 0. Suppose -y*f - 5*z + 6*z = -4939, -15 = 3*z. Is f prime?
True
Suppose 1452 = -4*q - 3844. Let y = -675 - q. Is y a prime number?
False
Let s = 28 + -22. Suppose 5876 = 2*t + w, -w = -4*w - s. Is t a prime number?
True
Is (-6 - -12) + -1 + 1 - (-59804 - -7) composite?
True
Suppose j + 15 = 3*k - 69, -291 = 4*j + 3*k. Let h be (1560/j)/(2/(-10)). Suppose 5*i - h = -4*w, -4*w + 5*i = -6*w + 62. Is w a prime number?
False
Suppose -741 = -2*k + 1849. Suppose -2*s + k + 1007 = 0. Is s a composite number?
False
Suppose -4*y + 151 = -269. Suppose -90*s + 66406 - 19066 = 0. Let p = s + y. Is p a prime number?
True
Suppose -25*p = 5*w - 23*p - 33169, -w + 3*p + 6627 = 0. Let i = w + -4702. Is i a prime number?
True
Suppose 3*w = 7 + 2, -2724 = -4*v - 4*w. Suppose v = 3*p - 894. Is (9/(-6) + 1)/((-1)/p) composite?
True
Let n(w) = -1341*w - 279*w - 329*w + 32. Is n(-3) prime?
True
Let o(b) = -2*b**3 - 3*b**2 + 5*b + 6. Let h be o(-3). Let k be ((-4)/h)/(-1) - 39112/72. Let n = k - -810. Is n prime?
False
Suppose -429*h - 2*z = -432*h + 494411, 4*h + 5*z - 659253 = 0. Is h prime?
False
Let o(r) = 25*r**3 - 19*r**2 - 23*r - 3. Let f(x) = 8*x**3 - 6*x**2 - 8*x - 1. Let k(u) = -7*f(u) + 2*o(u). Is k(-4) a composite number?
False
Let i(p) = 11*p**2 - 6*p - 12. Let c be (25/20 - (-2)/(-8)) + -1. Suppose c = 9*k - 62 - 1. Is i(k) a prime number?
False
Suppose -4*s - 8 = 4*r, -3*r - 3*s = -s + 4. Suppose r*a - 5*a = 45. Is -3 + (-3)/(a/1752) composite?
True
Let p(f) = -f**2 + 28*f + 60. Let l be p(30). Suppose -3*k - 5*g = -l*k - 1, 4*k - 4*g = 12. Suppose -3*c + 25 + 84 = k*q, -q + 73 = 2*c. Is c a prime number?
True
Suppose -2408568 = -15*j - 2543965 + 5900782. Is j a composite number?
False
Suppose a + 2*z = 255, -4*z = 4*a - 486 - 542. Let h = 446 - a. Is h a composite number?
True
Suppose 0 = 31*m - 18*m - 22776. Suppose 0 = -3*h + m + 1659. Is h composite?
True
Suppose -4*k = 2*h, -k - 4*h - 17 = -3. Suppose -a + 928 = 3*v - 191, -k*a + v + 2203 = 0. Suppose -2*g = a - 7202. Is g a composite number?
False
Let v(h) = 4088*h**2 + 10*h + 18. Let d be v(-2). Let s = d + -9976. Is s prime?
False
Let j(k) = -71*k + 14. Let u be j(-4). Suppose 0 = -a + 3 + 9. Is (u/(-8))/((-3)/a) a composite number?
False
Suppose -8*f = -0*f - 8856. Is -6*(-7 + 3 - f/18) a prime number?
False
Is (96/72)/((-2)/(-2676)*4) a composite number?
True
Let p = -125 - -69. Let m = p + -133. Let i = m + 1266. Is i composite?
True
Let s(z) = -3*z - 125. Let d(w) = 3*w + 126. Let i(c) = -2*d(c) - 3*s(c). Let m(t) = -76*t. Let u be m(0). Is i(u) prime?
False
Let x(t) = 1279*t**3 - 20*t**2 + 36*t + 71. Is x(4) prime?
False
Suppose -3*l = 12*l + 60. Let k be (-7 - -3)/(2 + l). Suppose -g - 12*a + 9*a = -667, k*g - 2*a - 1350 = 0. Is g composite?
False
Let l = 22923 - 10286. Is l a composite number?
False
Let d be (-3 + 22)/(4/92). Suppose 4*s - 1820 = -4*z, d = s - 0*s - 5*z. Suppose y + 3*y = s. Is y a composite number?
False
Let v = -51733 - -292720. Is v composite?
True
Suppose -3*i + 42 = -24*i. Is (-676)/(-104)*(i + 424) prime?
False
Suppose g - 71858 = 5*j, 74*g - 70*g - 287593 = -3*j. Is g a composite number?
True
Suppose 2*p - 3*f - 109025 = 0, -62304 = -4*p + f + 155761. Is p a composite number?
False
Suppose 28 = w - 5*y, -w + 3*y = -2*w - 12. Suppose 4*n - 1061 = -5*r, -w*n + 7*n = -r + 225. Is r prime?
False
Let r(h) = -176*h**3 - 9*h**2 + 14*h + 17. Is r(-12) prime?
True
Let w = -11 - -5. Let h be (-2)/4 + (-31575)/w. Suppose 4223 = 3*p - 4*l - h, -p - 4*l + 3167 = 0. Is p a prime number?
True
Let r be (0 + 5 + -3)*(-66)/(-12). Suppose -10*z = -r*z + 917. Is z prime?
False
Suppose -3*o - 28740 = -4*v - 4609, 4*o - 12038 = -2*v. Suppose -p + 3013 = -4*i, -2*p = -0*i - 5*i - v. Is p a prime number?
False
Suppose 3*z + 45*z = 23*z + 23484775. Is z prime?
True
Let t(d) be the second derivative of -5/3*d**3 + 9/2*d**2 + 13/12*d**4 - 1/20*d**5 + 0 - 23*d. Is t(12) prime?
False
Let y = 21 + -13. Suppose 2*m = 5*x - 1850, 2*x + 16*m - 756 = 20*m. Is 4*10/y + x a prime number?
True
Let v = -12444 + 27863. Is v prime?
False
Let m = -231 + 229. Is (-4 + 44561/(-11))/(m/2) a prime number?
False
Let j(f) = 23 + 39 + 27*f + 5*f. Is j(12) a composite number?
True
Let m be 4/12*2 - (-6710)/6. Let x = -371 + m. Suppose d - 965 - x = 0. Is d prime?
False
Suppose -4*b = -2*k + 1031842, 0 = 4*b - 0*b + 24. Is k prime?
False
Let r(o) = 346311*o**3 - 15*o**2 - 3*o + 2. Is r(1) prime?
False
Let i(f) = -336*f - 15. Let z(w) = 704*w + 29. Let o(y) = -7*i(y) - 4*z(y). Let h = 3 + -6. Is o(h) a composite number?
False
Is (-18)/(108/(-4965))*(-1 - (-489)/15) a prime number?
False
Let u = -113209 + 199176. Is u a prime number?
False
Suppose -3*s = -19*k + 21*k - 48, -2*k - s + 40 = 0. Suppose -12 = -3*n, 4*x + 19*n - 41992 = k*n. Is x prime?
False
Let t(h) = h**3 + h**2 + 5*h + 11. Let p be t(-3). Is p/3*(-4