Is 4/w + (1319/3)/1 prime?
True
Let w = -34 + -12. Let y = w - -50. Suppose y*a - 2529 = u, -u = 2*a - 1604 + 347. Is a composite?
False
Is (-1176)/1848*(-1 - 34198) a composite number?
True
Suppose g - 8 = -3. Suppose -3*s - 5*r - 10 = 0, -g*s + 3*r - 7*r + 5 = 0. Suppose -14*u + 8811 = -s*u. Is u composite?
True
Let n(f) = f**2 + f - 42. Let i be n(-7). Suppose 4*a = 3*c - 16118, i*a + 5*a + c = -20138. Let x = a + 6491. Is x composite?
True
Let w be -368*(77/(-28))/((-4)/(-104)). Suppose -53699 = -31*m + w. Is m composite?
True
Suppose -56*n + 57*n - 9 = 0. Let u(c) = -13*c**2 - n + 8*c**2 + 10*c**2 - 6*c. Is u(-4) prime?
False
Suppose 36*w = 13*w - 10*w + 8626629. Is w a composite number?
True
Let p = -85550 + 163107. Is p a prime number?
True
Suppose 0 = 5*f - 3*f + 2*m + 4, -10 = -5*f - m. Suppose 4*q - 28 = -f*q. Suppose q*h = -4*c + 4632, -3*h = -5*h + 2*c + 2320. Is h composite?
True
Let g(v) = -24*v**2 - 24*v - 25. Let t be 6 + -1 - (2 + 1). Let s(l) = 5*l**2 + 5*l + 5. Let i(j) = t*g(j) + 11*s(j). Is i(-4) composite?
False
Suppose -3*g - 1753 = -4*f - 18, 3*g = -3*f + 1317. Let a(i) = 38*i - 1011. Let v be a(21). Let r = f - v. Is r prime?
False
Let k = 56 + -53. Suppose -3*s + 0*l = -k*l - 13311, -3*s + 13339 = 4*l. Is s prime?
True
Let j be (1 - 2)*-1*0/(-7). Let n(x) = -x**3 - x + 9. Let k be n(j). Let c(i) = 78*i + 17. Is c(k) a prime number?
True
Let x = 52234 - 9189. Is x composite?
True
Let o be (-2)/21 + 428/84. Suppose -3*p - 3*z = -10746, o*p - 10*z = -7*z + 17934. Suppose -26*q = -21*q - p. Is q prime?
False
Suppose 15*k - 42960 - 250545 = 0. Is k composite?
True
Let z(i) = -50*i + 4*i**2 + 2*i**2 + 56*i - 3 + i**3. Let d be z(-7). Let a = 29 - d. Is a a composite number?
True
Suppose -51*n + 65*n + 1036 = 0. Is (18/(-12) - 7)/(1/n) a prime number?
False
Let m(k) be the second derivative of k**8/1120 - k**7/420 - k**6/72 - 11*k**5/120 - k**4/4 - 5*k. Let g(c) be the third derivative of m(c). Is g(6) composite?
False
Suppose 4*f + 2*f = -11214. Let x = 3239 - f. Let h = x + -3213. Is h prime?
False
Let j(a) = a**2 + 5*a + 4. Let f be j(-4). Suppose -19067 - 3193 = -30*r. Suppose t = 4*c + 371, f*t - 4*c + r = 2*t. Is t a composite number?
True
Let r = 98478 + -30115. Is r a composite number?
True
Suppose -30 = 5*f - 75. Suppose f*u + 38572 = 13*u. Is u a prime number?
True
Let w(c) = -2164*c + 8719. Is w(-6) a composite number?
True
Let c(l) = 76*l + 16. Let j be c(7). Suppose -3*b + h = 1647, h + j = -b + 3. Let g = 219 - b. Is g composite?
True
Let x(l) = 28*l**2 + 8*l + 7. Let y(w) = w**3 + 6*w**2 + 3*w - 7. Let g be y(-5). Suppose -18 = g*n - 0. Is x(n) composite?
False
Let p(b) = 119*b - 32*b + 5 - 15 - 16. Let i be p(13). Suppose -15*v = -2*v - i. Is v a composite number?
True
Suppose h + 38*x - 47285 = 37*x, -4*x = -3*h + 141841. Is h composite?
True
Let w be 122502/33 + 2/(-11). Suppose -2*x = 0, -4*t + 3*x = 1112 - w. Suppose -r = 109 - t. Is r a prime number?
True
Suppose 5*o - 6574 = l, -5*o = 3*l - 766 - 5812. Let v = o - -4074. Is v composite?
True
Suppose 4*h = 5*t + 776, 2*h - 189 = 8*t + 177. Is h a composite number?
False
Is ((-4)/(-12))/((-32)/(-26387040)) a composite number?
True
Let m(p) = 15811*p + 126. Is m(1) a prime number?
True
Suppose -2*q + 7*q = 5*o + 155, -129 = -4*q + 5*o. Suppose -29*j = -q*j - 10941. Is j a composite number?
True
Is 9/(-3)*11127190/(-30) a prime number?
False
Let z be (8 - 2)*(-2 + (-32)/(-12)). Suppose -t + 521 = t + 5*a, -3*a = z*t - 1021. Is t prime?
False
Let t be (-20)/(-15)*(4 + (-26)/(-4)). Suppose -12*j - f - 7 = -t*j, -2*f = -j + 2. Is (j/(-6))/(67648/(-33816) - -2) prime?
True
Let k(y) = 900*y + 9. Let i be k(5). Let w be 1/(-1) + -1 + 1349. Suppose 3*m - i + w = 5*z, 0 = -z - 3. Is m a prime number?
True
Let i be 96/18 + -1 - 2/6. Suppose -808 = -4*r + 12*w - 8*w, -605 = -3*r + i*w. Is r a composite number?
True
Let i = 358217 - 225732. Let s = i - 84402. Is s a composite number?
True
Let v(g) = 58*g**3 + g**2 - g + 1. Let y be v(1). Let a = y + -67. Is -2 - (-1146 + a/(-4)) prime?
False
Suppose -47*j - 4*j + 4148410 = -16*j. Is j a composite number?
True
Let z be (-300)/(-8) - (-1)/2. Let g = 2889 + -2660. Let v = g + z. Is v a composite number?
True
Let f(r) be the third derivative of -3*r**6/20 - 5*r**4/24 - r**3/6 + 36*r**2. Is f(-4) composite?
False
Let o(n) = n**2 + 2*n + 1. Let g be o(-3). Suppose 0*k + g*k + 311 = x, 2*k - 3*x = -163. Let z = 14 - k. Is z prime?
False
Let v(q) = 104*q**2 - 2*q - 4. Let g be v(-4). Suppose 6079 = 3*t + f - 292, 4*t + f = 8494. Suppose g = k - t. Is k a composite number?
True
Suppose -497*b + 502*b - 5*j - 91735 = 0, -2*j = 5*b - 91749. Is b a prime number?
False
Is -69*11469/(-9) + (-23 - -17) a composite number?
True
Let c(l) be the second derivative of l**5/20 + 5*l**4/12 + 23*l**3/6 + 23*l**2/2 + 10*l - 6. Is c(8) composite?
False
Is ((-12)/2)/((-4)/2) - (-39 + -104165) composite?
False
Suppose 0 = -4*l + c + 5778, -2*l + 0*l - 5*c = -2878. Suppose 0*y - 3*y + 3*g - 1086 = 0, -4*y = -5*g + l. Let u = y - -1039. Is u a composite number?
False
Let f(z) = z**2 - 2*z + 6. Let r be f(0). Suppose v + 1 = r. Suppose v*n - 6*n + 191 = 0. Is n prime?
True
Suppose 5*x + 20698 = 3*v, 3*v - 6*x + 8*x = 20684. Suppose -10*n + i = -9*n - 1717, 4*n - v = -3*i. Is n a composite number?
False
Let g(z) = 58*z**2 + 11*z + 40. Let j be g(11). Suppose -2*w + 3*a = -52799, 5*a + 19203 = w - j. Is w a composite number?
False
Suppose -t + 13 = -3*g, 0 = -3*g + 4*g + t - 1. Let x(l) = -2232*l - 9. Let v(o) = 447*o + 2. Let k(h) = -11*v(h) - 2*x(h). Is k(g) a composite number?
True
Let p = 2124167 + -844180. Is p a prime number?
False
Suppose -3*g - 2*a = -6*g + 334, -g = -5*a - 94. Is 4 - 468/g - (-445191)/19 prime?
True
Let d = 680273 - 424372. Is d prime?
False
Suppose 4*x - 5*k = 26, 0 = 2*x + 2*k - 0*k - 4. Suppose n = -a + x, -4*a - 4*n = n - 14. Suppose -1846 = -2*w - 4*z, z + 929 = w + a*z. Is w composite?
False
Is (1 - (-12)/(-18))/((-5)/(-6411255)) a composite number?
False
Is 2003698/18 - (-120)/270 composite?
False
Suppose 0 = a - 3*q + 24452 - 204343, 0 = 3*q - 6. Is a composite?
False
Let r = -215 - -216. Is ((-5466)/48)/(r/(-8)) prime?
True
Suppose -2*h = -511 - 119. Suppose 1988 = g + h. Is g a prime number?
False
Suppose -2*d + 4*m = -0*d - 48, 2*d - 3*m = 43. Let w(q) = -q**3 - 15 + 63*q**2 + 7*q - 31*q**2 - 18*q**2. Is w(d) composite?
False
Let n(l) = 2*l**2 + 17*l - 15. Let x be n(-9). Let f be ((-3)/6)/(x/(-12)). Let y(m) = -477*m + 2. Is y(f) composite?
False
Is ((-305)/(-122))/((-411999)/(-1235862) + (-2)/6) prime?
True
Let s = 349 - 340. Suppose -937 + 77140 = s*j. Is j composite?
False
Let u be 2 + (-63950)/(-4) + 23/46. Suppose 0 = -5*w + u - 3845. Is w composite?
True
Let b be (27/15)/((-12)/(-140)). Let j = -18 + b. Is (28/6)/(j - 709/237) prime?
False
Let b(d) = -1786*d + 1669. Is b(-10) a composite number?
True
Let w(y) = -26961*y + 59. Is w(-2) a prime number?
False
Let h(n) = -n**3 + n**2 + 1. Let i(j) = -5*j**3 - 14*j**2 + 26*j + 20. Let f(g) = 6*h(g) - i(g). Let z be f(18). Suppose 303 + z = p. Is p composite?
True
Let x(f) = 910*f**2 - 2*f - 265. Is x(27) composite?
False
Let s(g) be the first derivative of -1/4*g**4 - 5 + 3/2*g**2 - 3*g + 4*g**3. Is s(12) prime?
False
Suppose 3*b - 154706 = -r + 102011, 5*r = b - 85551. Is b a composite number?
False
Let z be 8/(-2) + -70 + (1 - -1). Let v = -68 - z. Is (6954/6 - -7)*2/v composite?
True
Let h = 165 + -160. Suppose -4*i - 88037 = -h*x, 2*i - 70440 = 6*x - 10*x. Is x prime?
True
Suppose -25*l - 449031 = -6292556. Is l prime?
False
Suppose -172*p + 111113665 = 193*p. Is p composite?
True
Let d be (-880)/50 + 2/(-5). Let i be (8/6*7)/((-6)/d). Suppose -2*m + i = -110. Is m prime?
False
Let y(p) = 47*p**2 + 25*p - 5. Suppose 3*f = -3*j + 42 - 3, 2*j - 26 = f. Is y(j) a composite number?
False
Suppose -4068*l - 2262139 = -4079*l. Is l a composite number?
True
Let s = -14 + 16. Suppose 3*c - 5 - 9 = 5*z, -s*c - 3*z = 16. Is 631 + (-1 - c) + 3 a prime number?
False
Let y(b) = 8061*b**2 - 98*b + 329. Is y(6) composite?
False
Suppose 0 = u + 6, -22*x + 25*x + 5*u - 1795419 = 0. Is x prime?
False
Suppose 4*d - 3*c = 7881, 1063 = 3*d + 5*c - 4884. Let n = d - -397. Is