). Suppose 2*f = l + 51. Is f a prime number?
True
Let f(n) = 17*n**3 - 13*n**2 - 27*n - 16. Let r be f(13). Suppose -2*v - 4*g + 34780 = -7*v, 5*v = 3*g - r. Let l = v - -9823. Is l prime?
False
Is (-12)/(-4)*((-1615662)/(-27) + -7) composite?
False
Suppose -h - 28*j = -29*j - 136951, 5*j = 0. Is h a prime number?
True
Let h be (3/(-9))/(6/108954). Let r = h - -11868. Is r a prime number?
False
Suppose -13*c = -7*c - 18. Suppose 2 = -2*w, -c*j + 0*w + w + 3022 = 0. Is j a composite number?
True
Let r be ((-180)/(-7))/(-4) + (-6)/(-14). Let l = 3 + r. Is 5/(-30)*l + (-5442)/(-4) prime?
True
Let m(p) = 1907*p - 9. Suppose 10*i + 15 = 5*i. Let z(q) = -954*q + 5. Let k(g) = i*m(g) - 5*z(g). Is k(-1) a composite number?
False
Suppose 4*t + 9*u = 6*u + 60311, 0 = 3*t - 3*u - 45228. Suppose 2*j - t = -0*q - q, -j = -2. Is q a composite number?
False
Suppose -8*y + 365910 = -209970. Suppose -o - 2*o + y = 0. Is o a prime number?
False
Let l(f) = 4547*f + 22. Suppose 2*x + 3 = -26*s + 29*s, 5*s - x - 5 = 0. Is l(s) prime?
False
Let j(l) be the first derivative of -221*l**4/24 - 7*l**3/6 - 14*l**2 - 28. Let h(m) be the second derivative of j(m). Is h(-4) a prime number?
True
Let j = 120 + 2035. Suppose 0 = -2*m + 26525 - j. Suppose -31*n + m = -26*n. Is n a prime number?
True
Let q be (-40)/(-18) - (-2)/(-9). Suppose 2*v - 4*l = 164, 2*v - 136 = -3*l - 0*l. Suppose -q*y - v = -4*y. Is y prime?
True
Let n be 5/1 + 0 + -1. Suppose 3*u - 5*u - n*p = -6066, 3*u - 9109 = -p. Is u a prime number?
True
Let w(h) = -1 - 41*h - 5 + 3*h**2 + 31*h**2 - 12. Is w(-11) a composite number?
False
Let q(m) = 9191*m**2 + 4*m - 2. Let x be q(1). Suppose 5*j = -d + 3036, -5*d + 2*j + x = -2*d. Is d a composite number?
False
Let i = -4034 - -6813. Suppose i = -h + 2*h + r, -4*h = 5*r - 11118. Is h composite?
False
Let d be -3 + 5/((-10)/234). Let y = 1562 - d. Suppose 2*u - p - 411 - y = 0, 3*p + 2083 = 2*u. Is u composite?
False
Let n = -67 + 107. Let b = -34 + n. Suppose -4635 = -b*o - 3*o. Is o a composite number?
True
Let l be (-112)/504 + 112/18. Is (4/(-6))/((-12)/62730) + l a prime number?
True
Suppose -4*b + 1766642 = 3*y, -23*b = 2*y - 21*b - 1177758. Suppose 22*z - y = 89056. Is z a prime number?
False
Let y(f) = -3*f**2 + 13*f - 23. Let m be y(4). Is (1 + 6)/(m/(-4427)) prime?
False
Is 5 - (-4 - -6) - (0 + -1758) composite?
True
Let w = 91557 - 61316. Is w prime?
True
Suppose 2*m = -5*g - 30723, 4*g + 0*g - 15394 = m. Let q = 28329 + m. Is q composite?
True
Let s(p) be the third derivative of p**5/20 - p**4/12 + 2411*p**3/6 + 3*p**2 - 5. Is s(0) prime?
True
Suppose -1064 = -3*s + 2*s + 3*q, 2128 = 2*s - 3*q. Suppose -3*h + s = h. Let m = -187 + h. Is m prime?
True
Suppose -12*u + 73 = -11*u. Let j = 75 - u. Is (-23970)/(-25) - (1 - j/10) prime?
False
Let q = 82384 + -25643. Is q composite?
True
Suppose -9*r - 3856 = 7*r. Is (2 - 0) + (16 - r) a prime number?
False
Let h be 1 - -2 - (-4)/8*62. Suppose -2*y + 36 = h. Is (4/10 - 20394/(-15)) + y prime?
True
Suppose -13*r = 2 - 2381. Let d = r - -1048. Is d a prime number?
True
Let c = -345913 + 530222. Is c a prime number?
True
Let y(i) be the first derivative of -1 + 8/3*i**3 - 3/2*i**2 - 5*i. Is y(6) prime?
False
Suppose 5*d + 75157 = z, 60*z - 65*z - d = -375785. Is z a prime number?
False
Suppose -5*w + 3*j + 102827 = 0, 5*w - j + 102811 = 10*w. Is w a prime number?
True
Suppose -4*o - 15 = -127. Suppose -2772 = -o*m - 8*m. Is m prime?
False
Suppose -5*c = -5*l + 165, 5*c + 181 = 5*l + 4*c. Is l - 31 - (0 + -5803) a composite number?
True
Let u(t) = -4128*t - 295. Is u(-9) composite?
False
Suppose 10 = 3*d + 5*o, 5*d - 2*o - 12 = 3*d. Suppose 0 = -x - 4*u + 2*u + 84, -d*x + 5*u = -405. Is x a prime number?
False
Suppose 3*o + 2*o = o. Suppose o = 2*w - 6766 - 2616. Is w a prime number?
True
Let b = 81 + -79. Suppose -13 + 65 = b*q. Suppose q*f - 21*f - 6995 = 0. Is f a composite number?
False
Let o(b) = -b**3 + 4*b**2. Let z be o(2). Suppose -6*h = -z*h - 32. Is ((-2)/3)/(h/888) prime?
True
Let x(o) = 114881*o - 4131. Is x(4) a composite number?
False
Let u(s) = -21*s**3 + 9*s**2 - 3*s - 2. Let n(w) = w**2 + 62 + 58 + 2*w - 125 + w**3. Let b be n(0). Is u(b) composite?
True
Is (82 + 0)/((-2)/(-691)*1/1) a composite number?
True
Let w(g) = -g - 4. Let z be w(-6). Let r be -3 - (z/(-5))/(3/30). Is (4/1 - 3*r)*2237 a prime number?
True
Let w be (3/(-3))/(8/(-10760)). Let g = -875 + w. Suppose 3*v - 1099 - g = 0. Is v composite?
False
Let t(b) = 121*b**2 + 6*b + 13. Let i be t(-4). Let r = 4024 - i. Suppose 0 = 5*z - r - 3486. Is z prime?
True
Is (-2 + -273224)*(-147)/294 a composite number?
True
Let d be -17*56/10 + 16/80. Let j = -237 + d. Let g = j + 799. Is g a prime number?
True
Let v(t) = -7*t**3 + 14*t**2 + 8*t + 19. Let g(h) = 21*h**3 - 43*h**2 - 23*h - 57. Let d(o) = -6*g(o) - 17*v(o). Is d(-7) prime?
False
Let b = 57666 + -24679. Is b a prime number?
True
Let q = -121 - -30498. Is q prime?
False
Let j = 1302104 - 927151. Is j prime?
True
Let s = 9699 - 16045. Let q = s - -18315. Is q a prime number?
True
Let f = 196151 - -134862. Is f composite?
False
Is ((-53144001)/954)/(2/(-4)) prime?
False
Suppose -2*i = 3*p + 3, i - 2 = -2*i + 2*p. Suppose i = -17*u + 11*u. Suppose u = 5*b + 874 - 9159. Is b prime?
True
Let o = 88063 - 30536. Is o composite?
False
Let f = -144 - -18. Let d = -105 - f. Let j(c) = -c**3 + 21*c**2 + 2*c - 21. Is j(d) composite?
True
Suppose 6*p - 3*p + 7 = -4*y, -19 = 3*y + 5*p. Is (14657/y)/(54/(-12) - -5) a prime number?
True
Suppose 4*a - 4458 = -3*z, -8*a + z + 4450 = -4*a. Let g = a - 26. Is g composite?
False
Suppose 0 = -3*m - 5 - 7, -z - 2*m - 2 = 0. Let d(w) = 7*w + 611*w**2 + 5 - 613*w**2 - 2*w**3 + 3*w**3. Is d(z) prime?
True
Suppose -3*m + 525943 = -2*p - 386438, 4*m - 1216508 = -5*p. Is m prime?
True
Let a(j) = -j**3 + 18*j**2 + 22*j + 16. Let c(i) = 16*i + 6*i + 16 + 18*i**2 - 21*i**3 + 10*i**3 + 10*i**3. Let w(q) = -3*a(q) + 4*c(q). Is w(17) prime?
False
Let u(p) = 30*p**2 - 31*p + 137. Suppose 11*h - 7*h = -3*d + 12, 5*d + 44 = 4*h. Is u(h) composite?
False
Is -1 + (13 - (3 + -10418)) a composite number?
False
Is 8/(-40)*(-1051381 - 4) prime?
True
Suppose -9*b = 4*b - 52. Let z(k) be the second derivative of 223*k**3/3 + 13*k**2/2 + 5*k. Is z(b) prime?
False
Let b = -3933 + 2057. Let c = -952 - b. Suppose 3*a = -2*u + 1291, 2*a + 5*u - c = -45. Is a prime?
False
Suppose s - 1540 = -3*v, 0*s = -3*v + s + 1532. Is -2*(-2 - 0) + v + 1 a prime number?
False
Let j(p) = 52*p**2 + 121*p - 542. Is j(-37) a prime number?
True
Suppose 2*g + 4*i - 19874 = 0, -20 = 4*i - 12. Is g a prime number?
True
Let z be (0 - 0)/(-12 - -10). Let y(r) = -r**3 + 3*r**2 - 2*r + 10243. Is y(z) a composite number?
False
Let a(y) = 5*y + 4. Let v be a(3). Suppose 20*f = v*f + 4547. Suppose -4*o = -5*o + f. Is o a composite number?
False
Suppose 3*s - 7*s + 34109 = 5*v, -6817 = -v + 4*s. Is v a prime number?
False
Let o = -107469 - -207418. Is o a composite number?
True
Suppose -5*b - 69040 - 462663 = -2*d, 0 = 4*d + 4*b - 1063448. Is d composite?
True
Is (4 - (-5123469)/21) + 4 + (-54)/(-189) composite?
True
Let k(w) = 22592*w + 2659. Is k(9) prime?
False
Suppose 10*b - 29 + 9 = 0. Suppose -7 + 3 = -4*i, b*i = 3*u + 2. Suppose -3*a + 8741 + 58 = u. Is a a composite number?
True
Suppose 8*j - 4*j = 7*j - 375693. Is j a prime number?
True
Is (-2)/15*3 + (-5102880)/(-75) a composite number?
True
Suppose -5*x + 383 = -42927. Is x + ((-48)/56)/(2/(-7)) prime?
False
Let o be (11095/(-10) - -2)*-2. Suppose -3*i + 3546 = 5*z - o, 3455 = 3*z + i. Is z composite?
False
Let i(v) = -2*v**2 + 27*v + 13. Let y be i(13). Is (3 + (-3)/(-6))*y prime?
False
Let a(j) be the first derivative of -j**4/4 - 10*j**3/3 - 4*j**2 + 9*j - 24. Let m be a(-9). Suppose l + m = 331. Is l prime?
True
Let l(p) = p**3 - 9*p**2 + p + 5. Suppose -h + 3*r = 8, -4*h = -5*r + r + 8. Let i be (-1 + -3)/h - (0 + -16). Is l(i) prime?
True
Suppose 0 = o + g - 235925, 2*o + 218646 = -g + 690492. Is o a prime number?
False
Let z = -147 - -154. Let y = z + -4. Is 2147/3 + 5/15 + y composite?
False
Suppose 0 = -39*y + 33*y - 3528. Let z be y/1 + (-25 - -24). Let d = z - -828. Is d composite?
False
Let y(s) = 2*s**2 - 3*s + 6029. Is y(0) a prim