e
Let d = 6326 + -391. Is d a prime number?
False
Let a = -2002 + 12429. Is a a prime number?
True
Let s be 3 - 4 - (-51 - 3 - -3). Let b = s + -36. Is b prime?
False
Let g(b) = 394*b**3 - 11*b**2 - 13*b - 1. Is g(6) prime?
True
Let u(i) be the second derivative of -i**7/2520 - i**6/72 + i**5/120 - i**4/12 + 2*i. Let b(q) be the third derivative of u(q). Is b(-6) composite?
True
Let a = 4 - 0. Let s(p) be the second derivative of p**4/6 + 5*p**3/6 - 3*p**2/2 + 4*p. Is s(a) composite?
True
Let k = -835 + 1337. Is k prime?
False
Suppose -12 = -18*y + 16*y. Suppose -y*d + 7365 = -d. Let w = -890 + d. Is w a prime number?
False
Suppose 1 = -h - 4*s, 0 = -2*h - 2*h + 2*s + 14. Suppose -20*b = 9*b - 116. Suppose g + h*g = -b*x + 1156, 5*x - 4*g = 1481. Is x a composite number?
False
Let z = -105 + 115. Is -6 - 9152/(-40) - (-2)/z composite?
False
Let f(b) = -7*b**3 + 6*b**2 + 2*b - 12. Let i be f(8). Let l = i - -5502. Is l a composite number?
True
Let t(g) = 14*g**2 - 10*g - 13*g**2 + 16 + 9. Is t(18) composite?
True
Is 0 + (32246/69)/((-2)/(-3)) a prime number?
True
Let o(u) = 3*u**2 + 3*u - 15. Let v be o(6). Suppose -107*x - 2292 = -v*x. Is x composite?
True
Let v be 973 + (3 + -1 - 5). Suppose -g - v = -y - 0*g, -3*g - 4844 = -5*y. Is y a composite number?
False
Suppose 5*n - 29027 = 1768. Is n a prime number?
False
Is (3 - 4)/(8/(-36376)) composite?
False
Let r(p) be the first derivative of 4*p**2 - 7*p + 2 + 10 - 4*p - 2 + p**3. Is r(6) prime?
False
Let l = 49501 - 21838. Is l composite?
True
Is 0 - ((-1 - -4) + -9112) prime?
True
Suppose 2*z + 106793 + 62263 = 4*s, -2*s = -4*z - 84534. Is s a composite number?
True
Suppose 14 = -6*m + 80. Suppose -5*t = -m + 1. Suppose 1691 = 4*i - o + t*o, 2*o + 1682 = 4*i. Is i a composite number?
True
Let p be 683 + 0/1 + 0. Suppose -2*v + 893 = -p. Suppose 1015 = 3*s + 4*x, -2*s - 119 + v = -5*x. Is s composite?
False
Suppose 0 = -14*z + 170909 + 234153. Is z a prime number?
True
Suppose g - x = -268, 4*g + 3*x + 1175 = 110. Suppose -6*c = 2014 + 1112. Let j = g - c. Is j composite?
True
Let b be 3 + 932/(-8)*-2. Let x be 10/4 + 1/2. Suppose 0 = -x*j + j + b. Is j a composite number?
True
Let w(n) be the second derivative of 5*n**4/12 - n**3/6 - n**2/2 + 2*n. Let o be (6/7)/(2/(-14)). Is w(o) prime?
False
Let w = -465 + 1449. Suppose -5*k - 7*k + w = 0. Is k a composite number?
True
Suppose 5139 = c - 4868. Is c composite?
False
Let s(j) = -7*j - 3. Let r be s(-2). Suppose 13*b - 10*b = 192. Let v = b - r. Is v prime?
True
Let c = -588 + 2131. Is c a prime number?
True
Suppose 0 = -6*o - 92 + 8. Let m = o - -18. Let d(f) = f**3 + 3*f**2 - 3*f - 3. Is d(m) composite?
False
Let b(j) = 2*j**3 - j**2 - 6*j + 6. Let l be b(1). Is ((-14)/42)/(l/(-333)) prime?
False
Let d(p) = -3*p**2 + 3*p - 1695. Let a(f) = 4*f**2 - 4*f + 1695. Let m(u) = -4*a(u) - 5*d(u). Let h be m(0). Let w = h + -988. Is w prime?
False
Let l = 41525 + 36062. Is l a prime number?
True
Suppose 2427*m - 2434*m = -218449. Is m a composite number?
True
Suppose 0 = 2*g + 5*i - 23, 0*i = 4*g - 5*i - 1. Suppose 3*m - g*p + 3*p + 4 = 0, 2*p + 8 = -2*m. Is (2 + 1436)*(-1)/m composite?
False
Let a(u) = 95*u**2 + 2*u + 2. Let p(l) = 2*l + 16. Let t be p(-9). Let s(j) = j**2 + 4*j + 3. Let q be s(t). Is a(q) a composite number?
True
Suppose 0 = -4*l - 4*s + 628, -118 - 45 = -l - 4*s. Suppose 2*q + 40 = -2*p + 3*p, -3*q = -4*p + l. Is p composite?
True
Suppose 0 = k - 2*c + 7*c + 812, -k + c = 788. Let g = k - -1699. Is g a prime number?
True
Suppose 21*l - 223134 = -74727. Is l prime?
False
Suppose z = 8*z - 123529. Is z composite?
True
Suppose -3*y + 6*y - 627 = 0. Let p = y - 116. Is p/(-1 - (-5 + 3)) prime?
False
Suppose c + 0*c = 3*j - 9, 0 = 4*c + 5*j - 15. Let t(r) be the third derivative of -r**5/60 + r**4/24 + 67*r**3/3 - r**2. Is t(c) a composite number?
True
Suppose 272 = -5*a - 4*r, 278 = -5*a - 4*r + 3*r. Let u be 3/(-7) + (-4616)/a. Let s = u - -103. Is s composite?
True
Let k = 127 - 127. Suppose k = 2*z + 2*p - 5874, -3*z + 2*p = -0*z - 8821. Is z a prime number?
True
Let o = 1523 - 856. Is o a composite number?
True
Let l = 1050 - 142. Let a = 1300 - l. Suppose 2*z = o - 3*z - 189, -4*z + a = 2*o. Is o prime?
False
Suppose 0 = -112*n + 127*n - 277665. Is n a prime number?
False
Suppose 2*l + 2*l = 0. Suppose a - 290 = -f, -f + 2*f - 2*a - 290 = l. Let j = f - 149. Is j composite?
True
Let v = -13 + 21. Let k be 458*((-20)/v + 3). Suppose 3*g = 3*o + 49 - k, 5*g = 2*o - 123. Is o a prime number?
True
Suppose 77 - 230 = 3*x. Let a(q) = -5*q + 1. Let h be a(-1). Is (-8)/h*x/2 prime?
False
Suppose -4*y - 44960 = -4*p, 0*y - 3*y = -4*p + 44963. Is p prime?
True
Suppose -7*r = -12913 - 3684. Is r prime?
True
Let y(i) = 1938*i**3 - 3*i**2 + 4*i + 9. Is y(2) a prime number?
False
Suppose 3*y - 2*y - 60 = 0. Let s be (-3932)/10 + 12/y. Is s*(4/(-12))/1 a composite number?
False
Let k be -5*(-4)/10 - (1 + 0). Is k - -117 - (3 - 3) prime?
False
Is (8455 - 10)/(1*3) composite?
True
Suppose -40 = 4*l - 4*z, -z = -3*l - 11 - 25. Is -4*l/4 + 2 a composite number?
True
Let l be (96/(-120))/(((-2)/10)/1). Suppose -7*h = -3*j - 2*h + 1943, -j = l*h - 625. Is j a prime number?
True
Let w(c) = -157*c + 2. Let z(u) = u + 1. Let y(l) = 2*l + 2. Let v(m) = 3*y(m) - 5*z(m). Let p(b) = -3*v(b) + w(b). Is p(-2) a prime number?
False
Suppose 4*g = -4*x + 2400, -2*x - 594 = -g - x. Suppose 0*c - 3*c + g = 0. Is c a composite number?
False
Let a = -326 + 1265. Let r = a - 548. Is r a prime number?
False
Suppose c = -57 - 1. Let j = 105 - c. Is j a composite number?
False
Let c(k) = -139*k - 13. Let g be c(-5). Suppose -25*t + 23*t = -g. Is t a composite number?
True
Suppose 4*w - 2*w - 4744 = 0. Let f = w + 91. Is f a composite number?
True
Let f(k) = -696*k**3 - 2*k**2 - 14*k - 31. Is f(-2) a prime number?
True
Suppose -3*l - 2*o = 3, 0 = -0*l + 2*l + 3*o + 7. Suppose 10 = 3*u + f, 0 + l = 2*u - 5*f. Suppose 0*m - 474 = -u*m. Is m prime?
False
Let c = 444 - -7565. Is c composite?
False
Let a be -5*((-242)/(-30) + 1/3). Let j(o) = o**3 + 4*o**2 + 3*o - 1. Let m be j(-3). Is ((-14)/a)/(m/(-786)) prime?
False
Suppose 0 = -10*w - 10*w + 171880. Is w a composite number?
True
Let x(s) = -145*s**2 + s - 2. Let v(h) = h**2 - 1. Let i(j) = 3*v(j) - x(j). Let w be i(-1). Is (w/6)/(2/3) a composite number?
False
Let b(i) = i**3 - 7*i**2 + 4*i + 15. Let q be b(6). Suppose -3*c + q*x = -0*c - 2751, 0 = c - 2*x - 921. Is c a composite number?
True
Suppose 4*m + 14 = 3*r, -m = 4*r - 65 + 21. Let o = r - 10. Suppose -2*c + 49 + 57 = o. Is c prime?
True
Suppose 21*a = 15*a - 36. Is (-290)/2*-2*(-3)/a a prime number?
False
Suppose 3*g = -y + 288, -3 = -3*g - 0. Suppose f = y + 248. Is f a prime number?
False
Let m be (8/(-3))/((-44)/95106). Suppose 7*y = m + 1705. Is y composite?
True
Suppose -38*q = 10*q - 813264. Is q prime?
True
Let y(j) = j - 2. Let w be y(0). Let p be 279/(-12) + w/(-8). Is (p/(-3))/((-4)/(-84)) prime?
False
Let o(f) = -f**2 + 2*f + 158559. Let y be o(0). Is (-4)/6*y/(-34) a prime number?
True
Let t(x) = 5*x**2 + 4*x + 28. Is t(-9) prime?
True
Suppose -4*z + 4 = -16. Suppose 3*p = z*p. Suppose 5*d - 264 - 341 = p. Is d a composite number?
True
Let u(k) = -k**3 - 9*k**2 + 8*k - 15. Let m(h) = -3*h**3 - 18*h**2 + 16*h - 28. Let x(t) = 2*m(t) - 5*u(t). Let a = -4 - -12. Is x(a) a prime number?
True
Let x = -26 - -42. Let p(s) = s**3 - 13*s**2 - s + 17. Is p(x) composite?
False
Let a be 3/3 - (-21)/(-7). Let c(y) = 39*y**2 + 12*y + 2. Let b(o) = -26*o**2 - 8*o - 1. Let m(w) = 7*b(w) + 5*c(w). Is m(a) prime?
True
Let r be (-12)/20 - (-1646)/10. Is -3 + 6 + -4 + r a prime number?
True
Let z(s) = s**2 - 4. Let p(c) = -2*c**2 - c + 9. Let q be 2*(3/(-6) + 3). Let y(h) = q*z(h) + 2*p(h). Is y(5) a composite number?
False
Let b(a) = -219*a + 1. Is b(-4) prime?
True
Suppose 42*m + 245641 = 53*m. Is m prime?
False
Is 631/(-8*(-4)/736) prime?
False
Suppose 3*x - x = 4. Suppose -n = x*n + 12. Is ((-669)/6)/(2/n) prime?
True
Let w(y) = 1071*y**2 - 9*y - 35. Is w(-8) a prime number?
True
Is 45/20 + -2 + (-19575)/(-20) a prime number?
False
Let d be 1*-1 - (-1796 - 1). Let z(k) = -6*k - 171. Let w be z(-29). Suppose 7*g - w*g = d. Is g prime?
True
Let o(l) = 51*l - 4. Le