 8. Is j a prime number?
False
Suppose 18*h - 403806 - 2749992 = 0. Is h a prime number?
True
Let g be (2 - (-13)/(-2))/((-4)/8). Let d(w) = 582*w - 91. Is d(g) a prime number?
True
Suppose 0 = -41*g + 37*g - 9316. Suppose -5*o + 4384 = -i - 16080, 5*o = 3*i + 20472. Let w = o + g. Is w a prime number?
False
Let d(j) be the first derivative of 84*j**3 - j**2/2 - 2*j - 16. Let s be d(4). Suppose 1279 + s = 5*f. Is f a prime number?
True
Suppose p - 4*p - 117741 = -3*n, 4*n - 2*p = 156984. Let h = 55612 - n. Is h prime?
False
Is ((-36029)/4)/((117/(-12))/39) a prime number?
False
Let b(p) be the second derivative of -13*p**3/6 - 2*p**2 + 35*p. Let a be (-4)/6*(-36)/(-8). Is b(a) a prime number?
False
Suppose -12*a - 5240 = -1256. Let j = 387 - a. Is j a composite number?
False
Let t be ((-4)/6)/((-12)/(-54)). Let o(u) = 19*u**2 - 6*u + 14. Let q(z) = 18*z**2 - 6*z + 14. Let m(s) = t*o(s) + 4*q(s). Is m(-7) a prime number?
False
Is 40/(-5) - (378/56)/((-3)/428172) a composite number?
False
Suppose -5*v + 8*h = 3*h - 5675, 4*v - h = 4543. Let g(y) = y**3 + 17*y**2 - 7*y - 4. Let z be g(-14). Let n = v - z. Is n a composite number?
True
Suppose 30*u - 11*u = 19. Is (-1 + 4)*(u - (-46110)/9) a composite number?
False
Let u(j) = -2*j + 10. Let a be u(-15). Let y be ((-4470)/a)/(3/4 + -1). Suppose 2*c = 5*l + 6*c - y, -c - 432 = -5*l. Is l prime?
False
Let p = -53 + 57. Let s(r) = 4*r - 16. Let i be s(p). Let m(f) = 3*f + 703. Is m(i) prime?
False
Let a(n) = 2*n**2 + 8*n + 11. Suppose 5*q = -d + 12, 4*q + 44 = -5*d + 5*q. Let w be a(d). Let r = -32 + w. Is r prime?
True
Suppose 46*h + 2837080 = 7136288 + 11732758. Is h a composite number?
True
Let h = 229 - 227. Suppose -h*o - 2*o + 187402 = -2*m, 2*m + 93696 = 2*o. Is o prime?
True
Is (-1)/6 - (70977/(-18) + 0) composite?
False
Suppose 192*j - 62*j - 8032543 - 14795067 = 0. Is j a prime number?
False
Is (-2)/10 + (-23)/(230/(-592632)) composite?
False
Suppose 3*p + 50*u = 54*u + 6647, 3*u = -15. Is p a composite number?
True
Suppose -9*h + 5945 + 2947 = 0. Let m = 1570 - h. Suppose 10*q - m = 8*q. Is q prime?
False
Suppose -994 = -3*r - 4*w, 4*r - 1316 = -0*r + 4*w. Suppose -4*q - 12 = -0, 0 = -2*u + 3*q + 1427. Let h = u - r. Is h composite?
False
Is 17/(-306)*6*(-2027135 + -4) a prime number?
True
Let r be (0 + 54)/9 - -5613. Suppose s - u - r = 0, 3*s - 21*u = -16*u + 16849. Is s a composite number?
False
Let o(j) = 5*j**2 + j + 4 - 4*j - 4*j**2. Let i be o(3). Suppose 0*n - 93 = -5*x - n, 0 = 2*x + i*n - 30. Is x a composite number?
False
Let f = 3443028 - 2429047. Is f a composite number?
True
Let i = 29 + -43. Let a be (-4011)/(-147) + 4/i. Let b = 76 - a. Is b composite?
True
Let u(h) = -3*h**3 + h**2 - 9*h - 26. Let i = -504 + 499. Is u(i) a composite number?
False
Suppose 5 + 1 = -3*s + 2*w, -w = -3. Suppose 2*d - 14*u + 13*u - 78 = s, 5*u = -3*d + 117. Is d prime?
False
Let s = -2482 - -204. Let j = -3143 - -1608. Let x = j - s. Is x a composite number?
False
Let f(y) = -y**2 + 21*y - 12. Let m be f(20). Let k be 0 + -264 - (m - 5). Let g = k - -382. Is g a prime number?
False
Let r(m) = -m**3 + 12*m**2 + 19*m - 73. Let o be r(13). Suppose o*p = x - 973, x - 2*p - 2971 = -2*x. Is x a prime number?
False
Suppose -2*n - 13 = 2*s - 3*s, 0 = -2*n - 4*s - 8. Let c(p) be the first derivative of p**4/4 + 3*p**3 - p**2/2 - 11*p + 619. Is c(n) composite?
False
Let q be (-28)/(-7)*(-8 - -6). Is (102/q)/((-114)/41192) a prime number?
False
Suppose -2*p + 10 = y, 0 = -2*y + y - 3*p + 6. Suppose 4*w - 4*i - y = -w, 4 = 5*w + 3*i. Is (254/(-10))/((-3)/30*w) composite?
False
Suppose 5*h - 16*l - 203153 = -12*l, -4*h = 4*l - 162544. Is h a prime number?
False
Suppose 10588 = 8*r + 3364. Suppose 0 = f - 354 - r. Is f prime?
False
Let w(z) = 4*z + 1. Let y be w(-4). Let q = y + 25. Suppose 15*p - 1055 = q*p. Is p a prime number?
True
Let m = -51470 - -72303. Suppose 0 = 2*u + o - 15149, -3*u - 5*o + 1901 = -m. Is u a prime number?
True
Let m(i) = 1563*i**2 + i - 1. Let x be (2/(-6))/(4/36). Let h be (x*(-1)/3*-1)/1. Is m(h) composite?
True
Suppose 3*l + 2*k - 16128 = 0, -5376 = 3*l - 4*l - 3*k. Suppose 0 = 12*t - l - 2976. Suppose -a - 3*a - 4*v = -1448, 2*a - t = 5*v. Is a a composite number?
True
Suppose 13 = 5*c - 12. Let m(q) = q**3 + 8*q**2 + 5*q - 4. Let n be m(-7). Suppose c*x - n - 175 = 0. Is x a prime number?
True
Suppose -4*b + 195 = 5*k, 7*k = b + 4*k - 36. Let q = -42 + b. Suppose -3*a + 302 = g - 0*a, -q*a = -4*g + 1283. Is g composite?
False
Let t = 56 + -54. Suppose 0 = -i - t*g + 4409, 2*g + 0*g + 22021 = 5*i. Is i a composite number?
True
Let i(v) = -264*v + 2*v**3 + 65 - 3*v**3 - 24*v**2 + 297*v. Is i(-27) a prime number?
True
Let b = 3881 - 1922. Suppose b - 8504 = -4*f + u, -4923 = -3*f - 4*u. Is f a composite number?
False
Suppose -15 = -5*n, -5*p + 2*n + 115192 = -57297. Is p a prime number?
True
Suppose -3*i + 5*b = -900334, -2*b - 1403440 = -4*i - 203018. Is i a prime number?
False
Let v(z) = z**3 + 2*z**2 - 15*z - 6. Let x be v(4). Suppose -10*i = -x*i + 660. Is i a composite number?
True
Let d(t) = t**3 + 35*t**2 + 100*t - 8. Let a be d(-34). Let r = 4957 + a. Is r a composite number?
True
Let s(j) = 4*j**3 + j**2 + 5*j + 1. Let f be s(-2). Let r = -32 - f. Suppose r*m - 17 = 2318. Is m a prime number?
True
Let m be 21/6*(-20)/7. Let n(x) = x**2 + 6*x - 40. Let l be n(m). Suppose 8285 = 5*f - p, l*f - 3*f = 4*p - 4971. Is f composite?
False
Is -254062*((-147)/70)/(-21)*(-2 - 3) a composite number?
False
Let b = -11 - -15. Suppose 0 = -2*f + 4*f - 446. Suppose f = -b*m + 5*m. Is m prime?
True
Let d(a) = -2*a**3 - 8*a**2 - 5*a - 29. Let k(z) = 2*z**3 + 7*z**2 + 6*z + 29. Let g(t) = 7*d(t) + 6*k(t). Is g(-12) composite?
False
Suppose 0 = s - 10*d - 648123, -2*d = -52*s + 51*s + 648163. Is s a composite number?
False
Suppose -l + 64641 = 5*m + 2885, -5*l + 308858 = -m. Is l a prime number?
False
Suppose -51239 = 4*a + 3*i, -2*a - 10747 - 14840 = -5*i. Let f = -8695 - a. Is f composite?
False
Suppose -272 = -2*a - 268. Is (6 + a + 5)/((-8)/(-10936)) prime?
False
Let k = -89278 - -125415. Is k a prime number?
True
Suppose 2*h + 5*s - 346689 = 0, -590655 = -3*h - 4*s - 70618. Is h a composite number?
False
Suppose -3*p + 42 = k, 3*k + k + 72 = 4*p. Suppose 4*g = 2*o + 62, o = -2*g - p - 8. Is (-8380)/(-6) + (-9)/o composite?
True
Is ((-800)/320)/(5/(-255058)) prime?
True
Suppose 4*v = 18 + 10. Suppose -708 = -n - 2*x, -3*n + 2*x - v*x = -2120. Is (106/8)/(5/n*5) a composite number?
True
Let x = -14115 + 97748. Is x a composite number?
True
Let c be 21/(-63)*(2 - -1)/(-1). Suppose x + c = 4, -1210 = -j + x. Is j a prime number?
True
Suppose -2*s = -5*h - 8 - 14, 0 = 5*h + 5*s + 15. Let n be 1124 + 3 + 0 - h. Suppose 4*c - n = 113. Is c a composite number?
False
Let s = 60 - 37. Is s/(((-22)/(-2552))/((-1)/(-4))) a composite number?
True
Let s be (30/40)/(1/24) - 3. Suppose 0 = 3*j - 9, -2*q + 29 = 3*q - 2*j. Suppose -2*o = -q*o - s, 2*o - 91 = -n. Is n prime?
True
Suppose -4*r + 7 + 1 = 0. Let a(j) = -372*j - 2. Let d be a(r). Is d/((4 - 2)/(-1)) composite?
False
Suppose 2*d = -8*u + 13*u + 4188, -5*d + 10491 = -2*u. Is d composite?
False
Let y(h) = h**3 - 3*h**2 - 5*h + 4. Let o be y(4). Let k = -1885 - -3142. Suppose 4*q - q - k = o. Is q a prime number?
True
Let f(o) = -3*o**2 - 2*o - 21. Let h(b) = 2*b**2 + b + 11. Let i(x) = 3*f(x) + 5*h(x). Let n be i(-3). Suppose -n*m + 83 = -3*m. Is m a composite number?
False
Let i(c) = -c**2 - 7*c - 10. Suppose 4*b = -3*w - 11, w + 9 = 4*b - 0. Let t be i(w). Suppose t = -4*m - 947 + 2623. Is m composite?
False
Let v = 46 + -30. Let s(r) = 8*r**2 + 8*r - 5 + 13*r**2 - r**3 + v + 9*r. Is s(12) composite?
False
Let c(i) = -17*i**3 + 2*i**2 - 8*i - 4. Let x(f) = -f**3 - f**2 + f - 1. Let l(z) = -c(z) + 3*x(z). Is l(9) prime?
True
Suppose 54008 + 21031761 = 57*f - 6840640. Is f prime?
False
Let c = 1852 - -1770. Suppose -3*l - j - c = -4*l, 2*l - 3*j = 7240. Suppose -1 = 2*h - 5, -h = -4*d + l. Is d prime?
True
Let v(t) = -613*t**3 - 8*t**2 + t - 11. Let l(c) = 409*c**3 + 5*c**2 - c + 7. Let u(m) = 8*l(m) + 5*v(m). Is u(3) composite?
False
Let v be (4 - (-3)/(-1) - -6)/1. Suppose -8*a + v = -a. Let k(n) = 456*n**2 - n - 1. Is k(a) prime?
False
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