ite number?
True
Let j(u) = u**3 - 12*u**2 + 3*u + 20. Let m be j(17). Suppose -3*v - v = -4*d - 1216, -5*v + m = -d. Is v a composite number?
True
Suppose -66*f = 169194 - 1223148. Is f a prime number?
False
Let a(g) = 2*g + 2. Let o be a(-1). Suppose -5*k + 3064 = 2*z, z + 2446 = -o*k + 4*k. Suppose s = 4*n - 2063, 5*s + k + 948 = 3*n. Is n prime?
False
Suppose -4*o + 6*h = 5*h - 5869, -2948 = -2*o - 4*h. Let y = o + -579. Is y composite?
True
Let g = 13 - 9. Let b be 95/76*(64/(-10))/(-4). Suppose -l - 4*l = b*k - 117, 0 = -3*l - g*k + 73. Is l a prime number?
True
Let z(s) = 48*s**2 + 107*s**2 + 4 + 3 - 3. Is z(-3) composite?
False
Suppose 291218 = 30*h + 28*h. Is h composite?
False
Suppose -5*h = -5*r - 30380, 2*h - 12164 = r - 3*r. Is h prime?
True
Suppose -26*w - 145764 = -62*w. Is w prime?
True
Suppose u - 650 - 1172 = 0. Is u composite?
True
Let b(k) = -5*k**2 - 16*k + 56. Let z(o) = o**2 + 3*o - 11. Let c(w) = 2*b(w) + 11*z(w). Is c(-4) prime?
True
Let m(j) = j**2 + 1. Let t(b) = 5*b**2 + 25*b + 7. Let x(i) = -2*m(i) + t(i). Is x(8) a composite number?
False
Let y(t) = -924*t**3 - t**2 - t + 2. Let n be y(1). Is n/(-8) - (-1)/(-2) prime?
False
Let s(b) = -251*b - 174. Is s(-13) prime?
True
Suppose 14*z = -39*z + 291553. Is z a composite number?
False
Let h(t) = 5*t**3 + 3*t**2 + 2*t + 2. Let a be h(-2). Is a/(-12)*-2*-59 composite?
True
Suppose 10*v - 12*v = -4. Suppose 2 = -2*j + 12, -v*j + 12296 = 2*s. Is s prime?
True
Suppose 0 = -26*h + 9*h + 116263. Is h a composite number?
True
Suppose 6*d = 19208 - 3554. Let u = -1852 + d. Is u a composite number?
False
Let j(p) = 17*p - 3. Let h(c) = 33*c - 6. Let x(q) = 2*h(q) - 5*j(q). Let d be x(-8). Let k = d + -81. Is k a composite number?
True
Let r(c) = 17*c + 5. Let t(z) = 5 - z**2 - z - 11*z + 8*z. Let h be t(-3). Is r(h) a composite number?
True
Suppose -3289 - 611851 = -20*z. Is z composite?
False
Let i = -3401 + 1747. Let c = -611 - i. Is c prime?
False
Let j(h) = -39*h**3 + 1 + 3*h**2 + 48*h**3 + 2*h - h**2. Let t be j(-1). Is (t + 3)*(-23)/5 a prime number?
True
Suppose -3*m = 3 - 90. Let f = -124 + 105. Let i = m + f. Is i a composite number?
True
Let u = -150 + 58. Let o = 71 - u. Is o composite?
False
Suppose 35 + 3 = -4*l + 5*t, -2*t - 64 = 5*l. Let h be 5049/15 + l/(-30). Suppose 6*p - 137 - h = 0. Is p prime?
True
Let o(q) = q**2 - 12*q. Let n be o(12). Suppose n = s - 765 + 205. Suppose 2*r - s + 138 = 0. Is r prime?
True
Suppose -4*v + 8959 = -16653. Is v composite?
True
Let w = -25687 - -51996. Is w prime?
True
Let k(q) = 3*q + 1. Let z be k(1). Suppose -5*n + z*y = -y - 620, 4*n = -y + 476. Let o = n + -67. Is o prime?
True
Let r = 771 + 79. Suppose r = 5*s - 1045. Is s a composite number?
False
Let k = 1147 + -640. Let d = 116 + k. Is d prime?
False
Let h(q) = -249*q + 205. Is h(-28) composite?
False
Let o = -4 - -3. Let p be (-2)/1*o/2. Is -37*(p/1)/(-1) composite?
False
Let p(b) = 0*b - 3*b + 0 - 3. Let k be p(-3). Suppose 5*f - k - 14 = 0. Is f a prime number?
False
Let u = 1470 + -662. Let o be -30*7/(140/u). Is ((-12)/(-8))/((-9)/o) a prime number?
False
Let k(t) = -t**2 - 6*t - 17. Let s(g) = g**2 + 5*g + 17. Let j(m) = 5*k(m) + 6*s(m). Is j(12) a composite number?
True
Let c(x) = -4295*x + 288. Is c(-7) a prime number?
False
Let k = 215916 - 145661. Is k composite?
True
Suppose 0 = 4*f - 114 - 1306. Is f a prime number?
False
Suppose -3*l - a = 85, -2*l - 19 = -2*a + 27. Suppose -c = -8*c + 343. Let j = c + l. Is j prime?
False
Let m be (-358)/(-4) + (-3)/6. Suppose 6*d - m - 109 = 0. Is d a prime number?
False
Suppose -2*m = -3*m - 2*i + 1, -2*i = -4*m + 14. Let n(s) = -4*s**3 - s**2 - 2*s + 7. Let w(k) = 2*k**3 + k - 4. Let p(c) = -3*n(c) - 5*w(c). Is p(m) prime?
True
Let s(d) be the third derivative of 11*d**5/20 - d**4/4 + d**3/6 - 4*d**2. Suppose w - 2*w + 24 = 5*f, 4*w - 20 = -f. Is s(w) a prime number?
False
Let n(q) = -54*q + 3. Let g(y) = y**3 + y**2 + y. Let f be g(-1). Is n(f) a prime number?
False
Let a be 68/(-18) - 8/36. Let h be (-7)/(-14)*1*2. Is a/(-5 + h)*25 composite?
True
Let u(q) be the third derivative of -637*q**4/24 - 7*q**3/2 + 3*q**2. Is u(-10) a composite number?
True
Suppose -2*r - 9 = -2*y + 1, 5 = 3*y + 2*r. Is (-3 - y/6)*-1322 composite?
True
Let l(a) = a**2 - a + 4. Let w be l(0). Let g(o) = 2*o**3 + 6*o**2 + 5*o**3 - 3*o**3 - 3 - 3*o. Is g(w) a prime number?
True
Let i(n) = -n**3 - 18*n**2 + 17*n - 38. Let o be i(-19). Is (-4)/(-2)*((-97)/(-2) - o) a composite number?
False
Let h(d) be the first derivative of 147*d**2/2 - 2*d - 9. Is h(1) prime?
False
Let w = 2848 - 35. Is w composite?
True
Let p(r) = 515*r**3 - 2*r**2 - 2*r + 1. Is p(2) composite?
True
Let p = -24300 - -41417. Is p a composite number?
False
Let q(u) = -u**3 + 8*u**2 - 6*u + 1. Let z be q(7). Suppose z*a - 4*a = -1352. Let v = 541 + a. Is v prime?
False
Let z(b) = -b**3 + 6*b**2 - 11*b + 9. Suppose h + 2*n - 6 = 0, 4*n = -4*h - 0*h + 28. Let g be z(h). Let q = 80 - g. Is q a prime number?
False
Let h(u) be the second derivative of -u**4/6 - 13*u**3/6 - 3*u**2/2 - 10*u. Let g be h(-10). Let p = 338 - g. Is p composite?
True
Let w be 0 + -12*156/(-9). Suppose w = 4*v - 332. Let k = v - 68. Is k a prime number?
True
Suppose j + 403 = 3*v - 920, 3*j - 431 = -v. Let t = v - -81. Is t a composite number?
False
Let y be (62376/14 - (-48)/84)/2. Is 2*(16/20 - y/(-40)) a composite number?
False
Let g(i) = -i - 2. Suppose -t + 0*t = 2. Let l be g(t). Is 106*(0 - -1) - l a prime number?
False
Let b(x) = 7*x - 8. Let v be b(17). Let k = v - -210. Is k a composite number?
True
Let w(v) = 341*v**2 + 22*v - 41. Is w(2) composite?
False
Let f(p) be the third derivative of 0*p - 1/15*p**5 - 1/6*p**3 + 0 + 7*p**2 - 1/20*p**6 - 5/24*p**4. Is f(-4) a composite number?
True
Suppose 0 = 2*c + 113 + 1. Let d(n) = -n**3 - 11*n**2 - 5*n + 2. Let q be d(-4). Let a = c - q. Is a composite?
True
Let p = -212 - -212. Suppose 0*u - 3*g - 7677 = -5*u, 2*u - 3062 = -g. Suppose -u = -5*f + 2*h, -5*f + 1531 = -p*f - 4*h. Is f composite?
False
Suppose 0*m = 2*m. Suppose m = 4*h - 0*h - 48. Let k = h - -79. Is k prime?
False
Let p = -1381 + 2394. Let a = p - 242. Is a a composite number?
True
Suppose -3*t = 3 + 3. Let j(c) = 168*c**2 + 3*c + 5. Let d be j(t). Suppose -2*v + 3*a = -d, a - 5*a + 4 = 0. Is v a prime number?
True
Suppose 0 = -4*r - 3*g - 4, 4*r - 24 = 6*g - 2*g. Suppose -r*d = -70 - 94. Is d composite?
True
Let r(w) = w. Let q(s) = 12*s - 1. Let c(z) = q(z) - 4*r(z). Let f(v) = -v**3 + 4*v**2 + v - 1. Let a be f(4). Is c(a) composite?
False
Let c(z) = 7*z**2 + 16*z + 2. Suppose 7*h + 88 = -h. Is c(h) prime?
True
Suppose q = 5*q + 4. Let i be ((-4 - 551)/(-1))/q. Let l = -224 - i. Is l a composite number?
False
Suppose -8473 = -5*s + 4*n, 3*n + 5576 = 4*s - 1202. Is s a composite number?
False
Let o(d) = -2*d**3 - 3*d**2 + d - 8. Let w be o(6). Let y be -9 - -11 - (w - 0). Let i = 885 - y. Is i a composite number?
True
Let j = -179 + 1398. Is j a composite number?
True
Is (27/(-36))/(27/(-7302924)) composite?
False
Let s(y) be the second derivative of 0 + 9*y + 1/3*y**4 + 5/2*y**2 - 5/6*y**3. Is s(12) composite?
False
Suppose 4*r + v - 5627 = 3*r, 5*r + 4*v = 28131. Is r composite?
False
Suppose 3*m - q = 27265, 5*m + 4*q + 221 = 45674. Is m composite?
True
Let y = -6 - -13. Let o(h) = h - 4. Let m be o(y). Suppose 2*b - 2*p = -0*b + 60, -m*b + p = -82. Is b prime?
False
Let u = 3516 - -1843. Is u a composite number?
True
Let j(a) = -a + 17. Let y be j(14). Suppose -2*l - 5*p = 46 + 11, 82 = -y*l - 4*p. Let q = l + 45. Is q composite?
False
Suppose 23054 - 1414 = 8*o. Is o a composite number?
True
Suppose 0 = -14*f + 20*f + 42. Is (-523)/f + 2 + 18/63 prime?
False
Let w(n) be the third derivative of -47*n**4/24 + 2*n**3/3 + n**2. Is w(-11) a composite number?
False
Let j(q) = 1 + 2*q**2 - 4 - 3*q**2 + 8*q - 12*q. Let y be j(-10). Is (-2)/(-7) + (-7983)/y a composite number?
False
Suppose 3*z = -0*z - 24. Is 1/2 + (-1068)/z a composite number?
True
Suppose -38 = 5*o - 58. Is 720 + 19 + o*1 prime?
True
Suppose 2173 = -3*h + 2*t - t, 0 = -4*h + 3*t - 2904. Let s = h - -1034. Is s a prime number?
True
Let q = 5187 - -18178. Is q prime?
False
Suppose -3*p - c + 10 = -2*p, -2*p - 4*c = 