e
Let r(n) = n**3 - 13*n**2 + 13*n + 1. Let v be r(12). Suppose 2*o - 177 = v. Is o a prime number?
False
Suppose -o - 2*a + 3763 = 0, -5*o + 3*a = -0*a - 18802. Is o a prime number?
True
Let z(n) = -n**3 + 2*n**2 + 2*n + 3. Let r be z(3). Suppose 3*v - 5*v + 2702 = r. Suppose 3*j - 2074 = 6*h - h, -3*h + v = 2*j. Is j composite?
False
Let g(w) = w**2 - 12*w + 23. Let r be g(10). Suppose -j - 9322 = -r*c, j - 6*j + 25 = 0. Is c prime?
True
Let n be (-1)/4 - (-39)/12. Let p(o) = -o**2 - 76. Let w be p(0). Let l = n - w. Is l a composite number?
False
Let q be (55/10 - 5) + 1/2. Is 3/q - (-2 + 1 + -65) composite?
True
Suppose -2234 = -3*r + 4*s - 0*s, 3*r - 2220 = -3*s. Let x = 1581 - r. Is x a prime number?
True
Let b be ((-8)/(-12))/(2/(-201)). Let t = b - -164. Is t composite?
False
Let a be (-2 + 3)/(2/(-350)). Let f = 375 + a. Let h = -61 + f. Is h a prime number?
True
Suppose -y + 11 = -3*t, -4*t + 9*t - 15 = -5*y. Suppose -5*h + 3*h + y*q = 17, -2*h = 5*q + 7. Is h/4 - 362/(-4) composite?
False
Let t(a) = -37*a - 34. Suppose -4*x + 6*x + 28 = 0. Let g be t(x). Suppose g = 5*l - 1061. Is l composite?
True
Let w = 3 + -4. Let y = w + 7. Is ((-4)/y)/((-2)/99) composite?
True
Let m(w) = -w**2 + 4*w + 4. Let o be m(5). Suppose d = -4*h - 5, 6*d - 2*d = -h - 20. Is (0 + -187 + h)*o composite?
True
Let v(g) = g**3 + 9*g**2 - 4*g - 2. Suppose -2*m - 2*z - 2*z - 4 = 0, -3*z - 8 = 2*m. Let q be v(m). Let c = 113 + q. Is c a composite number?
True
Let f(t) = 2*t - 10. Let g = 16 - 5. Let o be f(g). Let z = 65 + o. Is z a prime number?
False
Let v(f) be the first derivative of 22*f**3/3 - 5*f**2/2 + 2*f - 1. Let z be v(-6). Suppose 5*i = 761 + z. Is i a composite number?
False
Suppose -1747 - 1088 = -5*d. Let h = 680 - 444. Suppose j - d = -h. Is j a prime number?
True
Suppose -k - t = -2, -5*t = -k - 2*k - 10. Suppose 2*r - 822 = 4*a, -2*r + 2*a + 578 + 252 = k. Is r composite?
False
Is 7 - (-231)/(-35) - (-188766)/10 composite?
True
Let n(x) = -x**3 - 5*x**2 + 7*x + 1. Let b be n(-6). Let t be ((-4)/b)/((-2)/(-5)). Suppose t*u - 332 = -5*o, -2*o + 475 = 3*u - 6*o. Is u a composite number?
True
Let u be (-1)/(-2)*(-3 + 47). Suppose 3*b + 2*x - u = 0, -3*b + 45 = 2*b - 5*x. Suppose -5*p = -4*r + 37, 0 = -4*r - b*p + 4*p + 64. Is r composite?
False
Suppose 0 = 9*u - 123408 + 9099. Is u prime?
False
Let d(h) = 123*h**2 - 48*h - 41. Is d(-22) a prime number?
False
Let h(y) = -y**2 + 9*y - 19. Let j be h(6). Suppose 24 = -2*f - 4*z, -4*f - z - 9 = 4. Is j + (f - 0 - -16) composite?
False
Suppose d + q - 344 = -4*q, -5*d = -3*q - 1636. Is d a prime number?
False
Let l be 178*21 + 4 + -2. Suppose -j - 6*s + 4*s = -733, 5*j - l = 5*s. Is j prime?
True
Let p(k) = 2*k + 8. Let x be p(-4). Suppose -5*h - 2035 = 4*v, -v + x*v = -4*h - 1607. Let l = 660 + h. Is l a composite number?
False
Suppose 0 = -7*a + a + 6. Let p(i) = -i + 1. Let m be p(6). Is 293/((-4)/(m + a)) prime?
True
Let j = 22 + -9. Suppose 6*m + j = 4*u + 3*m, 2 = u - 2*m. Suppose -2*x - 167 = -v - 2*v, 5*v + u*x = 271. Is v prime?
False
Suppose 7*r - 3*o - 27689 = 2*r, r - 4*o = 5531. Is r a composite number?
True
Let p(a) = a**3 - a**2 - a + 1. Let o be p(0). Let q(v) = 144*v**2 + 4*v - 5. Is q(o) a prime number?
False
Is (2/1 - 2) + 4507 a composite number?
False
Let u(p) be the second derivative of 3*p**5/20 + p**3/3 + p**2 + 186*p + 1. Let b(f) = f**2 - 4*f - 2. Let s be b(5). Is u(s) a prime number?
True
Suppose -2*v + 4*v - 6 = 0. Let g be (v + -2)/(1/(-13)). Let i(p) = p**2 + 9*p + 15. Is i(g) prime?
True
Let w(n) be the third derivative of 17*n**4/3 + 5*n**3/6 - 2*n**2. Is w(5) composite?
True
Is 32 - 36 - (-49277 - 0) composite?
True
Let d = 505 + -322. Is -4 - (4 + -2 - d) prime?
False
Suppose 3492 = -5*f - 4848. Let u be -2*(-5)/(40/f). Let v = u - -602. Is v a prime number?
False
Suppose -4*c - 2 = -22. Suppose c*k + 2*l - 35 = 0, -3*k + 14 = -2*l - 7. Is k composite?
False
Let i(n) = n**3 - n**2 - 2*n + 2. Let d be i(2). Suppose d*a - a = 0. Suppose a = 4*c - 719 - 125. Is c a composite number?
False
Let c = -132 + 133. Suppose -5*v + 4909 = -c. Is v a prime number?
False
Let y = 31105 + -21072. Is y prime?
False
Let o(k) = 564*k - 27. Suppose -13*c + 40 = -8*c. Let a be o(c). Suppose 0 = -4*r - 5*g + a, -2*r - r + 3340 = -g. Is r a prime number?
False
Let w(o) = -o**3 + 6*o**2 + 3*o + 4. Let a be w(7). Let s = -20 - a. Suppose 0 = -4*k + s*c + 324, 8 + 0 = -4*c. Is k prime?
True
Let w(g) = -227*g + 148. Is w(-33) prime?
True
Let l be 6/(-18)*(-1 + -7824 - 2). Suppose 65*m = 66*m - l. Is m composite?
False
Suppose 2*d + 3*g - 4 = -0*d, 2*g - 9 = 5*d. Is (d + -2 - 1) + 61 a composite number?
True
Let g = -14 + 16. Suppose -b + o + 456 = g*o, -2287 = -5*b + 2*o. Suppose 278 = 2*t + r + 3*r, b = 3*t - 2*r. Is t composite?
False
Let b(k) = 401*k + 40. Is b(5) a prime number?
False
Suppose l + 4*q - 6220 = 2923, 5*l - 45667 = -4*q. Is l composite?
True
Suppose 2303*c = 2298*c + 66895. Is c prime?
False
Let y(d) = 74*d**2 - 7*d + 1. Suppose -12*s + 6*s + 24 = 0. Is y(s) prime?
False
Let q(x) = -4*x + 10. Let d be q(4). Is (-2)/d + (-2796)/(-9) prime?
True
Let f(p) = p**3 + 6*p**2 - 8*p - 2. Let q be f(-7). Suppose -q*g + 58 = -777. Is g composite?
False
Suppose 2*y - 3*y = 0, 3*q + 2883 = y. Let h = q + 527. Let g = -285 - h. Is g a composite number?
False
Let v(g) = -3*g + 9. Suppose 0 = m + 2*o - 10, 5 = 3*m - o - 4. Let l be v(m). Is 1/(l + (-139)/(-46)) prime?
False
Suppose 5*i = 81746 - 16741. Is i prime?
True
Let b = -12 - -18. Suppose -2020 = -b*d + d. Let t = d + 18. Is t a prime number?
False
Let m(j) = j**3 + j**2 - j - 6. Let v be m(0). Let o(f) = f**2 + 6*f + 4. Let i be o(v). Suppose -z = -i*r - 53, -r = -3*z + r + 159. Is z prime?
True
Suppose m + 5 = -2*s, 5*s + 17 = 2*m - 0*m. Let i(w) = 114*w - 1. Let r be i(m). Suppose -64 - r = -3*n. Is n composite?
False
Let v = -13 - -30. Let d = -16 + v. Is 112 + d/(-3)*-3 composite?
False
Suppose 0 = 47*h - 40*h - 13727. Is h a composite number?
True
Suppose 0 = -4*t + 2 + 18. Suppose t*v = -c + 66, v + 42 = 2*c - c. Let i = c + 65. Is i a composite number?
True
Is 56907/15 - 1/(-10)*-8 composite?
False
Is (-4)/(-40)*23326 + (-10)/(-25) composite?
False
Let d be (-14)/77 - (-24)/11. Suppose -4 - d = -2*w. Let b(y) = 16*y + 10. Is b(w) a prime number?
False
Suppose 2*h - 1678 = 2*q, -5*q - 3538 - 697 = 5*h. Let b = 98 - q. Is b composite?
False
Suppose 16273 = x + u, 0 = 4*x + u - 6*u - 65074. Is x prime?
False
Let r = 9 - 13. Let c be -1 - -4 - (1 + r). Suppose 86 - 596 = -c*v. Is v a composite number?
True
Let k(w) = -38*w + 1. Suppose 5*m = -10 + 25. Let z = -6 + m. Is k(z) a composite number?
True
Suppose 1768 = k - 3*x, -3*k + 7*k - 2*x = 7122. Is k prime?
True
Let d = -38 + 77. Suppose 0 = 3*s + 2*s - 25, 5*q = s + 10. Suppose -2*m + q*m = 5*p + d, 0 = 3*p + 15. Is m a composite number?
True
Suppose 2*s - 51 - 71 = -2*i, 2*i - 6 = 0. Let o be s/15 - (-10)/75. Is (-43694)/(-56) - (-3)/o a composite number?
True
Suppose 3*h - 60 = -2*h. Is ((-2)/(-2))/(h/708) a prime number?
True
Suppose 0 = 53*f + f - 231066. Is f composite?
True
Suppose 0 = 5*g + s - 799, -6*s + s - 5 = 0. Let z = -106 + 147. Let o = g - z. Is o prime?
False
Suppose 5*v - q - 29239 = 0, 6*v - 2*q + 14676 = 49766. Is v a composite number?
True
Suppose 7*q - 6*q = 2927. Is q composite?
False
Suppose 4*i - 7 = 5*i. Let t(c) = 7 - 2*c - 2*c - 1. Is t(i) prime?
False
Suppose 2*z + 72 = -6*z. Let s(i) = 20*i**2 - 6*i - 37. Is s(z) prime?
True
Suppose 0 = -r - 0*r - 376. Let u = -59 - r. Is u composite?
False
Suppose 21*m = 104 + 295. Is m composite?
False
Is (-1)/((-15)/3177) + (-16)/20 a prime number?
True
Let s be ((-2)/6)/(3*(-2)/2538). Is s/2 + 0 + 19/38 a composite number?
False
Let f = 18 - 16. Let p(s) = -132*s**3 + 1. Let u be p(-1). Suppose -n + 5*m = 2*m - u, -2*m + 282 = f*n. Is n a composite number?
False
Suppose 0 = -0*q - 3*q. Let m(d) be the second derivative of -d**3/6 + 3*d**2 + 14*d. Is m(q) prime?
False
Is 40/36 - (-3480237)/81 prime?
True
Let f be 7/(21/2)*-6. Let o be 7/((-2)/8*f). Is 93/o - (-10)/(-35) prime?
True
Suppose -2*g - 3*q - 86 = -3*g, 5*g = -5*q + 490. Let n = 1008 + g. Is n prime?
True
Let o be 2/(0 + -4)*-1164. Suppose -4*g = -