Let b(o) = 54*o - 11. Let k(d) = 54*d - 11. Let y(p) = 3*b(p) - 4*k(p). Let c be -12 - ((-2)/3 + (-33)/(-9)). Is y(c) composite?
False
Let s(o) = -195*o - 8. Let z be s(-4). Suppose z = 3*n - 1430. Let p = n - 348. Is p a prime number?
False
Let o = -9 + 13. Suppose 0 = 3*f - 3*n - 615, -3*n + 6*n = -3*f + 609. Suppose 968 = o*s + f. Is s composite?
False
Suppose 3 = -k, -2*k = -2*p - 3*k - 11. Is 591 + 0 + p/(-2) a prime number?
True
Suppose -4*w + 11 = -5*j - 31, 48 = -4*j - 4*w. Let h be j/(-35) - (1 + 31557/(-21)). Suppose -20*b = -18*b - h. Is b prime?
True
Let u = -266 + 284. Is ((-3892)/(-6) - -1)/(u/54) a prime number?
True
Let b = 553 + -811. Let m = 1572 - 1103. Let f = b + m. Is f composite?
False
Suppose -2*r + 2 = 0, -2*u + 5*r + 6324 + 1097 = 0. Is u prime?
False
Suppose -180*b - 3233729 = -223*b. Is b prime?
False
Let j be 20/16 + 25284/(-16). Let y = j + 3090. Is y a prime number?
True
Let h(f) = -1301*f - 3172. Is h(-33) prime?
True
Suppose -4*t - 67737 = -8*t - 3*s, 3*t = -s + 50799. Suppose p = t - 3221. Is p a prime number?
True
Let k = -17368 - -31353. Suppose -15*l + 10*l + k = 0. Is l a prime number?
True
Let l be (2/3)/(3 + (-349887)/116631). Is (-7)/(35/(-20))*l/4 a prime number?
True
Let n(s) = 28*s**2 + 5*s - 17. Let h be n(-7). Let m = -629 + h. Is m a composite number?
False
Suppose -1382606 = -18*w + 2311660. Is w a prime number?
True
Let b(k) = -28*k**3 + 39*k**2 + 26*k + 82. Is b(-15) composite?
False
Suppose 0 = -2*r - 7*r. Let m be -3*(4/3 - (0 + r)). Is (7587 - 1)*(9/2 + m) prime?
True
Let d = 1370 + -800. Is -1 + (d + -4 - -6) composite?
False
Let f(q) be the first derivative of -29*q**2/2 + 47*q + 9. Is f(-6) a prime number?
False
Let i(k) = 227 + 99*k + 5*k - 213*k - 492*k. Is i(-36) a prime number?
True
Suppose -53*w = -14*w - 205179. Is w a prime number?
True
Suppose -4*t - 2*k + 12 = 0, 6*t - 2*t - 5*k - 26 = 0. Suppose 3*f - 3 = t*f. Is (-12)/(f + 0) + 949 a prime number?
True
Let m(i) = i**3 - 22*i**2 - 40*i - 41. Let n be m(28). Let f = n - 1416. Is f composite?
True
Let s(r) = 11*r**2 - 49*r + 43. Let c be (-1120)/(-60) - (-2)/6. Is s(c) a composite number?
False
Let t be ((-3)/(-9))/((-5)/(-7320)). Suppose 2*k + t = i - 291, -2*k = 5*i + 797. Let g = 96 - k. Is g composite?
False
Let i = 32327 + -6121. Suppose i = 2*h - 5*r, 2*h - h - r = 13097. Is h a composite number?
False
Suppose -8*z + 2*f + 32926 = -4*z, -4*z + f + 32921 = 0. Suppose 48*j - z = 35*j. Is j composite?
True
Suppose 972760 = 3*v + p, -4*p + 163278 = 5*v - 1458005. Is v a composite number?
False
Suppose -3*d + 3*k + 63 = 0, k + 1 = 4. Suppose 0 = -d*r + 20*r + 5144. Let q = -135 + r. Is q composite?
False
Let b = -109212 - -282220. Let a = -84885 + b. Is a a prime number?
False
Suppose 6*t - 366662 = 5*t - 5*j, t + 2*j - 366671 = 0. Is t a prime number?
True
Let x be 13*((-6)/(-14) - (-28)/49). Let k(r) = 433*r - 22. Let y(u) = -216*u + 11. Let c(j) = x*y(j) + 6*k(j). Is c(-5) prime?
True
Suppose 3*g - 1075 = 4613. Suppose 6*q - 18*q + g = 0. Suppose -q = -w + 425. Is w prime?
False
Let c be (-23)/(-5) + 1/(-15)*-6. Suppose 2*f + 692 = 4*q - 310, -c*f = -q + 228. Is q a composite number?
True
Let g(j) = 2488*j + 125. Let l = -11 + 28. Is g(l) a composite number?
True
Let b be (-6 + 26)*(835 + 0). Suppose -4*y - 3*g = -6*g + b, 3*y + 12546 = -3*g. Let t = -2255 - y. Is t a prime number?
False
Let k(m) = 12 - 18*m**2 - 19 + 20*m**2 + m. Let s be k(-6). Suppose 0 = -u - 5*x + 422, 363 = u - 2*x - s. Is u a composite number?
True
Let p(r) = 38*r**2 + 3*r + 3. Suppose -4*o + 10 = 3*u - 18, -5*o - 5*u + 30 = 0. Suppose 2 = -c, -5*j - 10 = -o*j - 5*c. Is p(j) a composite number?
True
Let k(y) = -107*y**3 - 4*y**2 - 24*y - 6. Is k(-7) a composite number?
True
Let l(j) = 220*j**2 + 136*j + 59. Is l(-42) composite?
False
Suppose -6*a + 2*a - 24 = 4*s, -3*s = -4*a + 32. Let o be (-3342)/12*(s - 0). Let d = o - 1461. Is d prime?
False
Let l(h) = h**3 + 7*h**2 + 8*h + 5. Let v be l(-6). Let f be v - -4*(-3 + 4). Is (6/f)/1 - -1555 a composite number?
False
Let z(i) = 5*i**2 + i + 14. Let n be z(-7). Suppose 250*q = n*q - 1594. Is q prime?
True
Is ((-5)/7 - (-212)/(-742))/((-2)/210638) a prime number?
True
Let i(z) = -1610*z + 9. Is i(-7) composite?
False
Let l be 2 + 1 + 0 + 47736/24. Is l/14 + (-54)/189 composite?
True
Suppose 18*d = 15*d + 3. Is (d - (-2363)/(-2))/(15/(-30)) prime?
False
Suppose 2*a + 3*a + 4630 = 0. Suppose -13672 = -9*f + 3743. Let j = f + a. Is j prime?
True
Let j = 35173 + 90886. Is j prime?
False
Suppose 2*i = 8, -2*z = -i - i + 12. Let u be (-8)/(-20)*(-30)/z. Is ((-2454)/4)/(u/(-4)) composite?
False
Let l(u) = 5048*u - 75. Suppose -3*v - 9 = -2*h, -2 = -0*v + 2*v. Is l(h) a composite number?
True
Let a(r) = 29*r**2 + 10*r + 4. Let z(c) = 29*c**2 + 12*c + 3. Let h(g) = -2*a(g) + 3*z(g). Is h(-10) composite?
False
Let l = -11 - -16. Suppose 26 = l*o - 174. Suppose 0 = 4*t - o - 36. Is t composite?
False
Suppose 0*r - 300 = -12*r. Suppose 2*s = 4 - 8. Is (2485/r)/(-7)*(s - 3) a prime number?
True
Let d(a) = -3*a - 19. Let o be d(-8). Let i be (o + -10)*(-36)/(-10). Is (-2)/i - 16952/(-36) a prime number?
False
Let s = 339 - -437. Let q = -76 + s. Let w = 463 + q. Is w prime?
True
Let v = 206968 - 146539. Is v a prime number?
False
Let x be (-1 + 1 - -10)*(-68)/(-170). Suppose -9291 = -r - x*u, -18578 = -2*r - 5*u + u. Is r composite?
True
Let h(f) = 435*f + 488. Is h(3) a composite number?
True
Suppose 3 = 11*a - 14*a. Let w be -4 + a + 3 + 5759. Let l = w - 2404. Is l a composite number?
True
Let t = -465355 + 764476. Is t prime?
False
Let c = -5825 + 98862. Is c prime?
False
Suppose 27*k - 391125 = 946698. Suppose 0 = 13*g - 4557 - k. Is g a prime number?
False
Suppose -11 = -3*v + z, 0 = 4*v - 4*z + 2*z - 16. Suppose 5176 = 3*r + 5*m, -v*r + 5*m = r - 6913. Is r composite?
True
Suppose 2*z - 8555 = -537. Let y(i) = -28*i**3 + i**2 + 16*i - 22. Let b be y(-6). Let x = b - z. Is x a composite number?
True
Let a be 12/(-9)*(45/(-6))/5. Suppose -c - 3*t = -10910, -4*t = -3*c + a*c + 10889. Is c a composite number?
True
Suppose -18*i + 36*i + 15*i - 5687319 = 0. Is i a prime number?
True
Suppose 55 = 8*a + 15. Suppose -5*s = -12*t + 15*t - 3664, -a*t + 6114 = s. Is t prime?
True
Suppose -21*w = -24*w + 6, 2*g = -4*w + 18. Is ((-105)/(-70))/((30/9764)/g) composite?
False
Suppose 0 = a - 4*g - 22, 3*a + 3*g + 19 = -2*g. Suppose 3*t = a*d - t - 390, t - 735 = -4*d. Is d composite?
True
Let k(g) = 9*g - 24. Let j be k(3). Suppose -33416 = j*i - 11*i. Is i a prime number?
True
Let x(b) = -63*b + 62. Let w be x(2). Is ((-96)/w)/(2/17132) a composite number?
True
Let g be (3 - 5)/((-3)/(-6)). Let s be 0/(-7)*(-2)/g. Suppose 2*f + s*f - 758 = 0. Is f prime?
True
Is (-720594)/(-14) + 2/(-2)*-6 a composite number?
True
Let f(s) = 60*s - 32. Let r(v) = v - 1. Let a(w) = -f(w) - r(w). Let t(n) = 31*n - 16. Let z(o) = -4*a(o) - 9*t(o). Is z(-13) a prime number?
True
Let b = 87582 + 25831. Is b a composite number?
True
Let m(g) = -g**3 + 11*g**2 - g + 11. Let x be m(5). Let l be x/(-65)*(-2380)/6. Suppose -p - 4*t + l = -79, -t = 4*p - 4109. Is p a composite number?
True
Suppose -707563 - 679272 = -34*s - 255077. Is s a prime number?
True
Let r be 36/162 - ((-22)/(-9))/2. Let h(n) = -11600*n - 21. Is h(r) a composite number?
False
Let w = 42 + -39. Suppose 3*a - w*f = 168, 5*a + 2*f - 283 = 4*f. Let b = 112 - a. Is b a composite number?
True
Suppose 0 = 2*j + 2*v - 117998, 2*j + 4*v - 128774 + 10772 = 0. Is j a prime number?
True
Let c = -222730 - -484517. Is c a composite number?
False
Let i(x) = x - 2*x - 7*x - 18*x + 3*x + 6353. Is i(0) composite?
False
Suppose 0*m + 12*m + 24 = 0. Is (-3 - m)*(-7)/(42/15198) composite?
True
Suppose -2*u = 0, w + 4 = -2*u + 3*u. Is 22*(-1018)/w*2/2 a composite number?
True
Let l(o) = -o**3 - 99*o**2 + 717*o - 217. Is l(-108) prime?
False
Is (3 + 7*67809)*(-21)/(-126) prime?
True
Let g(s) = 2*s**2 - 5*s - 4. Let b be g(6). Let o be (-68)/(-3)*57/b. Suppose 27*k + 3269 = o*k. Is k prime?
True
Let l be 1*(6 + (-3 + -1 - -11)). Suppose 33016 = l*f - 5*f. Is f composite?
False
Let l(n) = 76555*n**2 - 8*n + 3. Is l(-2) a composite number?
False
Let m(t) = 10*t**3 - 13*t**2 - 7*t - 22. Let w be m(7). L