e?
False
Let i(x) be the first derivative of x**7/420 - x**6/120 + x**5/120 - 7*x**4/24 + 3*x**3 + 4. Let h(p) be the third derivative of i(p). Is h(4) a prime number?
False
Suppose -29*s + 58*s - 982259 = 0. Is s prime?
True
Suppose -4*o - 3*g = -57, 8 = o + 2*g - 5. Let d(b) = b**3 - 10*b**2 - 23*b + 11. Is d(o) composite?
True
Suppose -2*u - 3*n = -5170, -2*u + 0*n = 4*n - 5174. Is u a composite number?
False
Let m be 48/(-6)*10/(-8). Let n = 10 - m. Suppose -d = -n*d - 149. Is d composite?
False
Suppose 10*u = 3*z + 7*u - 10221, -2*z + 6824 = 3*u. Is z composite?
True
Let s(p) be the third derivative of 1/120*p**6 + 1/8*p**4 - 6*p**2 - 5/6*p**3 + 0 + 0*p - 3/20*p**5. Is s(9) composite?
True
Let c(r) be the second derivative of -r**4/12 + 2*r**3/3 - 3*r**2/2 - 6*r. Let j be c(4). Is ((-861)/j)/(-1 - -2) prime?
False
Let z = 12834 + -7210. Suppose 0 = 10*g - 2*g - z. Is g a composite number?
True
Suppose -2*i + 380 = -440. Let b = i + -57. Is b prime?
True
Suppose -12 = -2*p - 5*k, -2*k + 0*k - 12 = -2*p. Let i be p/(-27) + (-100)/(-45). Suppose -3*z + 752 = -z + 3*a, a + 744 = i*z. Is z a prime number?
True
Suppose -a = -3*y - 1887, -a = 3*y + 337 + 1544. Is (0 + -2)*y/8 a prime number?
True
Let v(m) = 25301*m**2 + 4*m + 4. Is v(-1) composite?
False
Let v(l) = -2*l + 8. Let o = -18 - -22. Let n be v(o). Suppose 5*c = -2*u + 108, -u + n*u + 49 = 5*c. Is u composite?
False
Let w(z) = 2740*z + 867. Is w(17) prime?
False
Suppose t + 8 = -t - 4*u, -t + 3*u + 6 = 0. Let p be (t - -102)*(-39)/9. Let b = -243 - p. Is b a prime number?
True
Suppose -9 = -3*i + 4*j + 12, 2*i - 9 = j. Let d(m) = -44*m**2 + 6*m + 10. Let f(l) = -40*l**2 + 5*l + 8. Let p(b) = 4*d(b) - 5*f(b). Is p(i) prime?
False
Let v(l) = -155*l + 77. Is v(-12) a prime number?
False
Suppose 0 = -5*p + 5, -3*y + 2*p = -1 - 21. Let d(l) = 0 - 2 - y - l**2 - 8*l - 2*l. Is d(-4) composite?
True
Suppose 8 = -u - 2. Is (-40)/u + 31*1 a prime number?
False
Suppose 5*o = -4*s + 266125, 2*o + 2*s - 3*s = 106437. Is o a composite number?
True
Let s = 780 + -445. Is s a composite number?
True
Suppose -2*u = 3*h - 4273, 2154 = u + 8*h - 3*h. Is u a composite number?
False
Let k = -7437 - -13580. Is k prime?
True
Let y = 7 + -12. Let k = y + 13. Let j = k - 1. Is j a composite number?
False
Let x = -195 + 932. Is x a prime number?
False
Suppose 8532 = 3*w - 3*f, 8533 = 4*w - w - 2*f. Is w prime?
False
Let s(i) = -84*i**3 + 4*i**2 - 6*i - 1. Let x(a) = -169*a**3 + 7*a**2 - 11*a - 1. Let k(o) = 7*s(o) - 4*x(o). Is k(1) prime?
False
Let w be (0 + 9)*(-8)/(-24). Let u = w + 5. Suppose -3*g = -u*g + 445. Is g a prime number?
True
Let o(h) = 20*h**2 - 5*h + 2. Let s be o(5). Suppose -2*k = -127 - s. Is 4/(1 - -3) + k a prime number?
False
Let n(l) = -19*l**3 + l**2 + 21*l + 9. Is n(-10) a composite number?
False
Let b(l) = 1323*l**2 - 75*l - 1. Is b(1) prime?
False
Let f be (7/((-42)/6))/((-2)/(-28)). Let z(h) = 3*h**2 + 5*h + 3. Is z(f) a prime number?
True
Let n(o) = -o**3 - o**2 + 4*o + 7. Let p be n(-2). Suppose 3*y + v - 476 = 1543, 0 = -p*y + v + 2019. Is y composite?
False
Let o(v) = -7*v - 43. Let k be o(-7). Suppose -1696 - 7130 = -k*n. Is n a composite number?
False
Is (-5 + 88 - -3) + 1 composite?
True
Suppose -f + 0 = -5. Let b be (324/(-5))/((-18)/135). Suppose f*y - o - b = 0, 4*y = 6*y + 5*o - 189. Is y a composite number?
False
Let o(c) be the first derivative of c - 5 + 9/2*c**2 + c**3. Is o(-6) a composite number?
True
Let h be 5 + -3 + 3*2. Suppose 3*k - k = -h. Is (674/k)/(3/(-6)) composite?
False
Let h(o) = 2*o - 1. Let u be h(3). Suppose -c - 1892 = -u*f, 1889 = 5*f + 4*c - 6*c. Is f prime?
True
Let a = 10914 + -6328. Is a a prime number?
False
Suppose -2*d + 297 = 4*x - 1427, 4*d - x = 3439. Let f be 4/18 + d/18. Let o = 19 + f. Is o prime?
True
Is 4/(-6)*(-1 - 696200/16) prime?
True
Let m be (1/3)/((-1)/(-3)). Let x be 50 + 2*(2 - m). Is (-23)/(((-16)/x)/4) composite?
True
Is (-415 - -6)/((-5)/265) composite?
True
Suppose 0 = 4*y - 5162 + 254. Is y a composite number?
True
Is (18406/(-4))/((-21)/210) a composite number?
True
Let a(g) = 437*g**2 - 8*g - 33. Let l(s) = 1311*s**2 - 23*s - 98. Let i(t) = 7*a(t) - 2*l(t). Is i(-4) prime?
True
Let b be (-4)/8*5*-4. Is 17/(-5) + 3 - (-32714)/b a composite number?
False
Let m = 35 - 33. Let z(h) = 12*h**2 + h + 3. Is z(m) a composite number?
False
Suppose -2*a = 5*b + 740, 2*b = 3*a - 0*a - 315. Let t = -68 - b. Suppose 263 = 5*f - t. Is f a prime number?
False
Let c(x) = -142*x**2 - 14*x - 23. Let a be c(-8). Is 3*(a/(-6) - 11/(-22)) a composite number?
True
Let m = -5 - -10. Let z be (-4 - -2) + 30/m. Suppose 3*t - z*u = 91, 2*u + u = 15. Is t a prime number?
True
Let b be 312/(-9) - 2/6. Let l be (-14)/b - (-16)/10. Let w = l - -7. Is w a composite number?
True
Let s(o) = 3*o**2 + 10*o - 9. Let z = -34 - -26. Is s(z) prime?
True
Is 0 + ((-1543)/5)/(6/(-30)) prime?
True
Let t(c) = 3*c**3 - 11*c**2 - 28*c - 11. Is t(13) a prime number?
True
Let j(r) = -86*r**3 + 3*r**2 - r + 3. Let f(d) = d**3 + d + 1. Let b(o) = -f(o) + j(o). Let h be b(2). Let s = -319 - h. Is s prime?
True
Let a = -638 + 2995. Is a a prime number?
True
Let t be (-15 - -3)/((-2)/(-83)). Let c = 1041 + t. Suppose -3*r + 89 + 668 = -4*g, -2*r - 5*g + c = 0. Is r prime?
False
Is -6 + 19 + -7 - -6172 a composite number?
True
Let p(v) = -2*v**2 - 3*v - 4. Let r(l) = -l**3 + l**2 + l - 8. Let o be r(0). Let i be p(o). Let b = i - -235. Is b a composite number?
False
Is 1231410/22 - 98/539 a prime number?
False
Let s be (9/2)/(7/28). Suppose 5*l = -d + s, -9 = -0*d + d - 4*l. Suppose -3*n = -2*q - 2381, 0 = 5*n + 7*q - d*q - 4005. Is n composite?
False
Let p(h) be the first derivative of h**3/3 + 6*h**2 - 24*h - 30. Is p(-15) composite?
True
Let h = 38 + -33. Suppose 0 = -h*k + 676 - 191. Is k a composite number?
False
Suppose -5*v = 0, n - v - 4*v - 1 = 0. Suppose -5*x = -3*p - 13 + n, p + 4 = x. Suppose x = 2*f - 30 - 40. Is f a prime number?
False
Let u = 0 + -4. Let b be (-10)/15 - (-34)/6. Is ((-30)/u)/(b/10) prime?
False
Let v be -1 + 0 - (-13 - 2). Suppose v*b = 17*b - 3183. Is b a prime number?
True
Let f = -131 + 134. Suppose -f*p = u - 2162, 4*p - 5*u - 2128 - 723 = 0. Is p a composite number?
False
Is (-31138)/10*(30/(-2) - 0) a prime number?
False
Suppose 807 = -s + 5824. Is s composite?
True
Suppose -a = -24*a + 115966. Is a prime?
False
Is 2 - (144184/(-36) - 8/(-72)) a composite number?
False
Suppose -30 = -3*n - 3*r, -6*r - 85 = -4*n - r. Suppose 2*v - 3*v = 3*u - 548, n = 3*v. Suppose 2*w - u - 133 = 0. Is w a prime number?
True
Let q(w) = w - 2. Suppose -3*c + 6 = -6. Let i be q(c). Suppose -4*p + i*r = -4242, 0*p + 2*r + 2120 = 2*p. Is p a prime number?
True
Is (-685)/75 + 9 - 209447/(-15) prime?
True
Let j = 149 + 503. Let n = j + -233. Is n prime?
True
Let t(f) = 34*f. Let s be t(-1). Let b be s/(-5) + 28/(-35). Suppose 8*z = b*z + 178. Is z a composite number?
False
Let o(m) = -4*m**3 + 16*m + 73. Is o(-9) prime?
False
Suppose 0 = -5*c - 15, -2*z + 4*c + 0*c + 3682 = 0. Is z a prime number?
False
Suppose 0 = -9*m + 38*m - 148277. Is m a composite number?
False
Suppose -2*y - 20*y = -25036. Is y prime?
False
Let c(r) = -r**3 - 24*r**2 + 34*r + 17. Let g(o) = -4*o**3 + o**2 + 3*o - 4. Let n be g(2). Is c(n) a prime number?
False
Let o(m) = 31*m**2 - 10*m - 19. Let c(a) = 15*a**2 - 5*a - 9. Let f(s) = 5*c(s) - 2*o(s). Is f(5) a prime number?
True
Suppose -9*c = 72*c - 794529. Is c a composite number?
True
Let w(v) = v. Let p be w(2). Suppose -p*m + 1544 = -408. Let q = -389 + m. Is q composite?
False
Let x(l) = 1317*l - 296. Is x(7) prime?
True
Let w = 101 + -197. Is (1 - 0)*(-29 - w) prime?
True
Let y = -7 - 4. Let o = 132 - y. Suppose o = 3*l - 214. Is l a composite number?
True
Let c = -3310 - -6743. Is c a prime number?
True
Suppose 52*z - 33*z - 3370771 = 0. Is z prime?
True
Let v = -99 - -404. Suppose 22*m - 17*m = 510. Suppose -o = -m - v. Is o a prime number?
False
Let d = -108 - -108. Suppose d*a - 9*a = -17343. Is a a prime number?
False
Suppose -4*h = -h - 24. Suppose 0 = -2*m - 6 - h. Let t(z) = -48*z + 23. Is t(m) a prime number?
True
Let o(a) = a**3 + 4*a**2 - 2. Suppose 4*c = -3*y - 6, y - 5*y = 3*c + 1. Let z be o(c). Let x = 142 + z. 