e
Let w = 8249 - -12525. Suppose -6*p - 4976 = -w. Is p a composite number?
False
Let d(p) = -p**2 + 13*p + 19. Let m(h) = h**2 + 5*h + 13. Let r = 46 - 50. Let x be m(r). Is d(x) a prime number?
False
Suppose -j + 1 = 0, -7*q = -19*q - j + 16974877. Is q prime?
True
Suppose -8*b + 5*b + 28764 = 0. Suppose 0 = -3*v - 5*l + 9597, -3*v - 4*l + b = -2*l. Is v a prime number?
False
Let v = 770674 + -405681. Is v prime?
True
Suppose z + 27*t = 22*t + 86798, -5*z = -4*t - 433903. Is z composite?
False
Let x(i) = -i**3 + 85*i**2 + 2*i + 269. Is x(84) a composite number?
True
Suppose 4*h + 8*h = 0. Suppose h*c = -3*c + 12. Suppose c*i - 2*i = 1490. Is i composite?
True
Let b be ((-3)/2)/((-18)/24). Suppose 5*k = -l + 32, -l + 0*l + b = 0. Let i(m) = 401*m + 5. Is i(k) a composite number?
False
Let s = -55 - -68. Suppose -22*g = s*g - 103670. Is g a composite number?
True
Let g be 2/(-2 - (-96)/52). Let y be (4 + -2 - 1)*(-11 - g). Suppose -2*i + 656 = y*a, i + 367 + 292 = 2*a. Is a composite?
True
Let u(w) = 21*w**3 + 2*w**2 + 2*w - 1. Suppose 5*s = -6*s - 33. Let l be 1*(6 - (s + 7)). Is u(l) prime?
True
Let m(s) = s + 28. Let v be m(-23). Let l be (135/6)/v - 2/4. Suppose -4*g + 555 = 3*i, -2*i + 740 = 2*i - l*g. Is i a prime number?
False
Suppose 7 = 6*x - 227. Suppose 44*m = x*m + 19735. Is m a composite number?
False
Suppose -17*v = -6*v - 22. Suppose t = 5*t - 4*l - 9932, 0 = 3*t - v*l - 7445. Is t a composite number?
True
Is ((-190)/(-38) - 126/26) + (-503694)/(-26) prime?
True
Suppose -63*q - 126905 = -5*u - 58*q, 4*q = 2*u - 50762. Is u a prime number?
False
Is 236/(-413) - (-50775)/7 a composite number?
False
Suppose 135*k = 125*k + 4290. Let f = k - -224. Is f prime?
True
Let v(s) = s**3 + 7*s**2 + 7*s + 9. Let z be v(-6). Suppose o + z = -0, o + 792 = 3*j. Is j composite?
False
Is 2061231/7 - ((-1680)/(-196) - 8) a composite number?
False
Suppose -10*p = -d - 6*p + 16687, -2*d - 5*p = -33309. Suppose m - d = -5*b + 2*b, -12 = 3*m. Is b a composite number?
False
Let b = -245 - -248. Let j(q) = 586*q**2 - 2*q - 7. Is j(b) composite?
False
Suppose -134*s + 2028699 = -107*s. Is s a composite number?
True
Let f(l) = 4*l**2 + 638 + 755 + l - 3*l**2. Let w be f(0). Let h = w + -224. Is h composite?
True
Suppose -2*x - 42 = 3*o, -24*x = -27*x - o - 84. Suppose -212 = -3*w - 4*u, -2*w + 0*w = -5*u - 103. Let l = x + w. Is l composite?
True
Suppose -3*d = 3*q - 3, -5*q + q - 10 = -3*d. Suppose 7*w - 8*w + 470 = -g, 3*w = -d*g + 1390. Suppose w = 4*n + 22. Is n a prime number?
False
Suppose 3422 + 780 = 22*l. Is l a composite number?
False
Suppose -10*s - 9 + 69 = 0. Suppose 3592 = 5*w - o, 9*o + 3586 = 5*w + s*o. Is w prime?
True
Suppose -s = -3*y + 23, 5*y - 4*s = y + 36. Suppose y*b - 1216980 = -53*b. Is b composite?
True
Suppose 5*r - r - 276 = 0. Suppose 0 = -5*g + 3*x + r, 4*x + 52 = 3*g + g. Suppose 3*d - g = 0, 0 = -2*t + 5*d + 251 + 38. Is t a prime number?
True
Let x = 1014989 - 365724. Is x prime?
False
Let a(y) = 42457*y + 6465. Is a(16) a prime number?
False
Let o(i) = -i**3 + 6*i**2 - 4*i + 25. Let d be o(-13). Suppose -2*p + 6*p = d. Let u = p + -464. Is u a prime number?
False
Suppose -77 + 317 = 2*m. Suppose -4*l - 3*z - 4 = 0, 2*z + 8 = -2*l - 2*l. Is l/10 + -4*(-14622)/m a composite number?
False
Let a be ((-1)/2)/((-164)/40 + 4). Suppose -7*j = -5*t - 10*j + 7801, 0 = a*t - 2*j - 7791. Is t a prime number?
True
Suppose -31 = -5*k - 6. Suppose -k*b + 505 = -75. Let m = b + 137. Is m composite?
True
Let q(y) = -y**3 + 16*y**2 - 1. Let d be q(16). Let c(o) = o**3 + 4*o**2 + 2*o. Let m be c(d). Is 1248/2 + (m - -2)/(-3) prime?
False
Let b(k) = -1731*k + 425. Is b(-14) a composite number?
False
Suppose 9*s + 11920 = 4*s - 5*d, -5*d = 0. Let c = s + 1690. Let n = -491 - c. Is n composite?
True
Suppose -72*m - 1699480 + 82443400 = 168*m. Is m a composite number?
True
Let c(l) = 95*l**2 - 17*l + 137. Let p be 54/8 - 6*11/(-264). Is c(p) a composite number?
False
Let f(q) = 15*q + 12. Suppose 9 = z - 5*w, -5*z + 23 = 3*w - 6*w. Let h be f(z). Suppose 7887 = 75*a - h*a. Is a composite?
True
Let p(v) = -v**2 - 20*v - 27. Let y be p(-18). Suppose -y*n - 7 = -43. Suppose 0 = 2*k + n*d - 650, -486 - 170 = -2*k - 2*d. Is k prime?
True
Suppose 2*f - f - 5*c = 29330, 0 = 3*f - 5*c - 87940. Is f composite?
True
Let x(w) = w**2 - 15*w - 81. Let g be x(-4). Is ((-30)/g)/6 + 0 + 4082 composite?
True
Let c(y) = -8*y**3 - 10*y**2 - 15*y - 25. Let b be c(-6). Let u = -786 + b. Is u prime?
True
Let q = -38 + 40. Suppose -s = -q, 5*z - 5*s + 27 = 92. Suppose z*x + 477 = 24*x. Is x composite?
False
Is -6 + 979428/(-36)*-15 + 2 a composite number?
False
Suppose 0*r - 76 = 4*r - q, -4*r - 72 = -2*q. Let t be -230*(76/r + 3). Suppose -231 - t = -5*p. Is p composite?
False
Let w be (-3)/(90/12) - 24/(-10). Let r be ((-1694)/(-33))/(w/36). Let y = r + -187. Is y a prime number?
False
Let u be 2/5 + 352/20 - -4. Suppose 25*m - 6921 = u*m. Is m a composite number?
True
Suppose 0 = -68*c + 69*c - 73. Suppose 40715 = -68*s + c*s. Is s composite?
True
Suppose y - 10 = -4*y - f, 0 = 5*y - 5*f - 40. Let s(o) = -o + 8. Let v be s(y). Suppose -v*w - 6349 = -12*w. Is w prime?
True
Suppose -75*g + 20*g = -18303156 + 3565631. Is g prime?
False
Let o = 48383 - 16225. Let f = -22103 + o. Is f a prime number?
False
Let o(l) = 29*l + 77*l**3 - 5*l - 10 - 14*l. Is o(3) composite?
False
Is (-124)/(-372) + 129344/3 a composite number?
True
Suppose -21*b + 672 = -25*b. Is b/(-126) + 42070/6 a composite number?
False
Let z(t) = 60*t**3 - t**2 + 3*t - 3. Suppose -4 + 2 = -b. Suppose 0 = x - 0*x - b. Is z(x) prime?
True
Let b = -274 + 155. Let y = b - -146. Let w(j) = 8*j**2 - 29*j - 46. Is w(y) a composite number?
False
Let w(s) = 2*s**2 - 20*s - 15. Let m = 103 - 122. Is w(m) composite?
False
Let d be 6*8/36*-6. Let i(m) = m**3 + 12*m**2 + 18*m - 10. Let r be i(d). Let c = 137 + r. Is c composite?
False
Let c be (-2 - (-3)/6)*2 - -10. Suppose 2*g + 55 = c*g. Let i(m) = 8*m**2 - 3*m - 12. Is i(g) composite?
True
Let t = -110249 - -222280. Is t a composite number?
False
Let v(f) = f**3 + 3*f**2 - 2*f - 3. Let w be v(-2). Suppose w*c - 2*t = 115799 - 27762, -5*c = -4*t - 88029. Is c a composite number?
False
Let m(u) = u**3 + 23*u**2 + 4*u + 14. Let n(l) be the first derivative of -l**3/3 + l + 7. Let i(z) = m(z) + 3*n(z). Is i(-18) a prime number?
True
Let k(d) = d - 9. Let a be k(13). Let v = 4 + a. Let j(u) = 2*u**3 - 7*u**2 + 16*u - 15. Is j(v) prime?
False
Let y = -7 - 29. Let d = 31 + y. Let n(q) = -3*q**3 + 3*q**2 - 3*q + 4. Is n(d) a composite number?
True
Let z = -107 + 112. Suppose o - z*p - 51 = 0, 3*o + 4*p = o + 88. Let j = 933 - o. Is j prime?
True
Suppose 19*l = 10*l + 18. Suppose w - 5*z - 6309 = -7*z, l*z - 12608 = -2*w. Is w composite?
False
Let g(p) = -2*p**3 - 9*p**2 + 36*p - 2. Let y = -127 + 112. Is g(y) prime?
False
Suppose 0*k + k + 3*w = -29, 0 = 3*k - 5*w + 45. Let l = k - -34. Suppose -11169 = -l*r + 5*r. Is r a prime number?
False
Let x(o) = -o**3 - 14*o**2 + 14*o - 10. Let i be x(-15). Suppose i*a + 32 = 9*a. Is -10*((-116)/a - -3) prime?
False
Let t(w) be the third derivative of 283*w**5/10 + 19*w**4/24 + 4*w**3 + 178*w**2. Is t(-2) composite?
True
Suppose -6*q - 4*q = -4*q - 352986. Is q a prime number?
True
Suppose 327407 = 13*w + 1100491. Is (2/4)/(0 + (-2)/w) prime?
True
Suppose 0 = 19*v - 38*j + 35*j - 199490, -5*v + 2*j = -52501. Is v a composite number?
False
Suppose 3*c - 5*f + 10 = -9, -25 = -5*f. Suppose c*a - 7275 = -5*o, -7*o + 5*a = -10*o + 4346. Is o composite?
True
Suppose -6651 = 5*z - 5*k - 59991, 4*z - 42647 = -k. Suppose -3*j - 3*t + 10659 = 0, -j - 5*t = 2*j - z. Is j a prime number?
False
Suppose -2*a + 2996 = c, 2*c + 5*a + 2975 = 3*c. Let y = c - 1665. Suppose -5*f + y = 4*x - 2*f, -x + 325 = 2*f. Is x prime?
False
Suppose 5*o - 4*o = -3. Let q be (-1)/((2/(-2562)*o)/(-1)). Suppose 0*r = -3*r - n + 1295, -r + 2*n + q = 0. Is r a composite number?
False
Let p be (0/(-1 + 3))/(-2). Suppose -c - 4*i + 11 = 0, p = 2*i - 5 + 1. Suppose d - 454 = -5*v, 0*v = c*v - 9. Is d composite?
False
Let j = -10745 + 17935. Is -10 - -8 - (-4)/(8/j) a composite number?
False
Suppose y + 4*y = -4*f - 397, -5*f - 485 = -5*y. Let m be (-3 + 1)*(-627)