 Let r be m(-5). Suppose 5*o - 1 = -r*u + 3, -o + u + 4 = 0. Suppose 5*d = w - 2*w + 1018, -o*w = -4*d + 806. Is d a prime number?
False
Let q = 308 - 304. Suppose -5*c + 11469 = -2*k, -3*c - 7*k + q*k + 6873 = 0. Is c prime?
True
Let h = -202029 + 318788. Is h a composite number?
True
Let d(v) = -3*v + 20. Let x be d(5). Suppose 7*u - 9*u - 2*t = -11868, -u + x*t + 5964 = 0. Is u prime?
True
Is 9119/(-6)*-3 + (3 - 49/14) a composite number?
True
Suppose 8*t = 2*t - 132. Is 16905/11 - t/121 composite?
True
Let b be 72/7 + 26/(-91). Suppose 0 = 7*w + b*w - 4573. Is (w + -9 + 3)/(2 - 1) prime?
True
Let i = -670 + 563. Is (-13 - -10)*(-1)/((-1)/i) composite?
True
Let p(q) = -9213*q + 108. Let b be p(-6). Suppose -13800 + b = 6*x. Is x composite?
True
Let r = 18 + -38. Let a(o) be the first derivative of -o**4/4 - 14*o**3/3 - 2*o**2 - 27*o + 8. Is a(r) prime?
False
Suppose 4*x = -6 - 14, -5*x + 37293 = 2*i. Is i composite?
True
Let p(t) = 3509*t - 4285. Is p(42) composite?
False
Suppose o + 4*z - 4079 = z, 12198 = 3*o - 4*z. Suppose 12*q = 2*q + o. Is q composite?
True
Suppose 47 = 2*q + q - 2*r, q + 4*r + 3 = 0. Suppose q*x = 12 + 14. Suppose n - 2583 = -3*h + 5*n, -h + x*n = -859. Is h a composite number?
True
Is (-4 - (-19 - -23)) + 137575*1 composite?
False
Let r = -248 - -7152. Let x be 9/(162/12) - r/(-3). Suppose 10*f - x = -192. Is f prime?
True
Let h(u) = 967*u + 212. Let d be h(32). Suppose 5*m - 3*a = 34341 + 4604, a = 4*m - d. Is m prime?
True
Let l(b) = -2*b**3 - 8*b**2 + 7*b + 16. Let n be l(7). Let d = n + 1710. Is d a composite number?
True
Let k(n) = -36*n - 8. Let i be k(-4). Let a = i + -260. Let t = a + 567. Is t a prime number?
True
Let g = -44703 + 95432. Is g prime?
False
Let f be 15/(-10) + 2 + 1943/2. Let r = f - 665. Is r prime?
True
Suppose -2*l + 6*l - 3*j = 289, -2*l + 3*j + 143 = 0. Suppose 3*w = -5*k + 983, -2*w - l + 743 = -4*k. Is w composite?
False
Let t(p) = 16*p**2 - 44*p + 75. Is t(-47) a prime number?
False
Let p(c) = -4*c - 24. Let q be p(-11). Let d be (4 + q/(-8))*8/4. Suppose -d*h = -14*h + 18227. Is h a composite number?
False
Suppose 4*h - 16*h = -24. Let u be 3 + -5 - (3 - (h - 4)). Let t(d) = -15*d - 14. Is t(u) composite?
True
Let k(j) = 6*j - 4. Let n(c) = 3*c + 1. Let r(l) = -k(l) - n(l). Suppose -2 = 5*g + 8. Is r(g) a composite number?
True
Let v = 676 - 676. Suppose v = -13*w + 6*w + 2422. Is w composite?
True
Suppose -5*p + 5*x + 34380 = 0, -3*x - 34386 = -4*p - p. Suppose p = 6*t - 1287. Is t prime?
True
Suppose 70 = -10*g + 190. Let n be (-3)/4 + (-807)/g. Let d = n - -121. Is d prime?
True
Suppose -30*a + 3 = -29*a. Suppose -2*q - 2 = 0, -a*k + q = -8*k + 35394. Suppose 2755 + k = 6*l. Is l composite?
True
Let v be 2/(-1)*-1 + -10. Let a(u) be the first derivative of 2*u**3 - 13*u**2/2 - 19*u - 280. Is a(v) prime?
False
Let m(g) = -5*g - 126. Let p be m(-26). Suppose p*r + 4*y = 8*y + 9664, -y - 7242 = -3*r. Is r composite?
True
Suppose 429*i - 460*i + 6308221 = 0. Is i composite?
True
Suppose -11 = -3*d + d + 3*j, 0 = -4*d - j + 15. Let l be 2 + -1 + d/(-3)*-3. Suppose -t + 4*t - 1600 = -l*g, 4*t = -g + 337. Is g a prime number?
True
Suppose -2*y + 51 = 165. Let j = y - -59. Suppose 5*i - 1959 = -u, -3*u + 447 = -j*i - 5396. Is u a prime number?
True
Suppose 4*g - 7*g = 225. Let r = g + 109. Suppose -p = 2*j - 55, p - j - 95 = -r. Is p a composite number?
False
Suppose -7*s = 2*z - 9*s - 102, 2*z - 4*s - 94 = 0. Let m = z - 38. Suppose 0 = -m*r + 18*r - 159. Is r a prime number?
False
Is 525638/(5/(-5) + 3) a composite number?
False
Is 13464274/54*3 - (9 + (-316)/36) prime?
False
Is 650050/(-20)*182/(-35) composite?
True
Let w(b) = -3*b - 59. Let g be w(26). Let x = -54 - g. Is x prime?
True
Suppose -1482408 = -30*b + 146141 + 889921. Is b composite?
True
Let g(c) = 2*c**2 - 17*c + 15. Let r be g(18). Let o = 91 - r. Let y = 475 + o. Is y composite?
True
Let w = 138 - 76. Suppose 3*l = 5*s + w, -2*l + 5*s + 23 = -25. Is 6/l + 9640/14 prime?
False
Let u = 21965 + 15714. Is u prime?
False
Let s(i) = 2*i**3 + i**2 - 4*i + 3. Let q = -581 + 399. Let l be (4/14)/((-13)/q). Is s(l) prime?
True
Suppose -a - 2*a - 2*r + 19755 = 0, 3 = r. Let l = -661 - -664. Suppose l*b - a = -790. Is b a prime number?
True
Suppose j + 16 = -3*j, -2*j + 2 = 5*i. Let c(u) = 269*u + 7. Let l be c(i). Let n = l - -2174. Is n a prime number?
True
Suppose -30*u = -62*u + 8*u + 1613064. Is u a composite number?
False
Suppose 0 = -6*n + l + 198823, 2*l - 33135 = 36*n - 37*n. Is n composite?
True
Let a be 21/(-3) - -3 - (-70 + 1). Let x = 72 - a. Suppose 0 = -z + x*z - 762. Is z prime?
True
Let r(b) = 12*b**2 - 76*b - 2. Let f be r(17). Suppose -3*d + 5*s = -f, -3*d = -6*d - 5*s + 2224. Is d a prime number?
True
Let g = 808077 - 492406. Is g prime?
True
Let m = 439 + -413. Suppose 25*x + 1364 = m*x + u, -5*x = 3*u - 6814. Is x a prime number?
True
Let s(f) = -23 - 47*f + 63*f + 7*f**2 - 87. Is s(23) prime?
False
Suppose 29*z = -697679 + 1634605 + 1715211. Is z prime?
True
Suppose 0 = -427*m + 253*m + 288318. Is m composite?
False
Suppose -74336 = -4*n - 2*k, 3*k = -53*n + 50*n + 55755. Is n prime?
True
Let c(d) = -17*d**3 + d**2 - 27*d - 11. Let y = 52 + -58. Is c(y) a prime number?
False
Suppose x - 22402 = -5*y, -93*x + 67087 = -90*x - 2*y. Is x a composite number?
False
Let j(t) be the third derivative of -t**5/30 + 19*t**4/3 - 125*t**3/6 - 10*t**2. Is j(52) prime?
True
Suppose -4*k - 87306 = 2*k. Let t = 22160 + k. Is t a prime number?
False
Let t(h) = -80*h + 19. Let m(x) = -4*x**2 - 7*x - 3. Let s be m(-2). Is t(s) a composite number?
False
Let p(v) = -2*v**3 + 11*v**2 - 3*v - 19. Let b(f) = -f**2. Let t(c) = 5*b(c) + p(c). Is t(-10) prime?
False
Let p(r) = 16*r**3 - r**2 + 2*r - 3. Let i be p(2). Let n = i - 10. Is (n - (-3 + 4)) + -3 prime?
False
Let p(m) = 45108*m**2 + 10*m - 41. Is p(-2) composite?
False
Let s = -3427 - -6698. Is s a prime number?
True
Let t(o) = -o - 29. Let j be t(-14). Let i be (-201)/(-15) - (-6)/j. Suppose 17*s - i*s = 1948. Is s a composite number?
False
Suppose -t = -4*x - 15 - 4, 0 = 5*x + 20. Suppose -t*w + 7911 = 3*o, -4*o + 9726 + 810 = w. Is o a prime number?
True
Is ((-52)/8)/((-76)/400216) prime?
False
Suppose -217*r + 26065823 + 84044534 = 0. Is r composite?
False
Suppose 4*c + 18443370 = 70*c. Is c a composite number?
True
Let g be (-6)/(-27) + 276/(-27). Let c(j) = -j**2 - 7*j + 33. Let b be c(g). Suppose -864 = -3*m - b*i, 715 = -5*m - i + 2151. Is m composite?
True
Suppose -165969 = -5*z - 14*g + 10*g, -132796 = -4*z + 2*g. Is z a prime number?
False
Let f(a) = 89*a**2 - 27*a - 397. Is f(-21) prime?
True
Suppose 2*a = 5*p - 595139, -2*a = -3*p + 7*p - 476104. Is p composite?
False
Suppose -23*s + 540675 = -3*s - 3372505. Is s a prime number?
True
Let r = -29980 - -70403. Is r a prime number?
True
Suppose 4400728 + 16854979 = 121*j. Is j composite?
True
Suppose -439*z = -456*z + 1841287. Is z a prime number?
False
Let v(x) = x**2 + 10*x + 9. Let t be v(-9). Suppose 4*d + 7 = 2*f + 3*f, -2*f + 3*d = t. Is (-83 - 0)*f/(-3) prime?
True
Suppose 189*i - 192*i + 108 = 0. Is i/60 - (1 - 184554/10) composite?
True
Let r(b) = -b + 3. Let d be r(-2). Suppose -7 = -d*h + 3. Suppose -k - h*k = -786. Is k a prime number?
False
Suppose -1004 = -4*c - 4*u, 3*c - 4*u + 512 = 5*c. Suppose -5*m - k + 637 = -0*k, 4*k = 2*m - c. Is m a composite number?
False
Let k = 163170 + -114973. Is k a prime number?
True
Let u = 133 - 130. Suppose -980 + 209 = -u*a. Is a composite?
False
Suppose 6*a - 5*l + 83366 = 9*a, 0 = 4*a + 5*l - 111153. Suppose a = 5*o - 49938. Is o composite?
True
Let t(x) = -19*x - 7. Let a be t(-1). Suppose 16 = a*l + 160. Let u(v) = 4*v**2 - v - 59. Is u(l) prime?
False
Is (-14)/(-10)*(3078 + (-21 - -8)) composite?
True
Let d = 98554 - 28009. Suppose 0*x + d = 15*x. Is x composite?
False
Suppose 0 = -14*w - 135*w + 2124442. Is w prime?
False
Let w(v) = 12*v**2 + 388*v - 37. Is w(-39) composite?
False
Suppose 0 = 98*x - 100*x. Suppose 2*q = -x*q - 3*q. Suppose -a = -0*a + 2*c - 1397, q = -a + 4*c + 1421. Is a a prime number?
False
Let y(j) = -496*j**3 - 4*j + 91. Is y(-6) a composite number?
False
Let n(q) = -112*q**2 + 5 + 18*q - 36 + 11*q**3 + 123*q**2. Is n(9) a composite num