 Let j = l + i. Is j a composite number?
False
Let b = 10444 + -1207. Is b a prime number?
False
Is (-177036)/(-27) + ((-16)/18)/(-8) composite?
True
Suppose 4*j = s + 2531, 5*s - j = -0*j - 12560. Let f = s + 3714. Suppose -5*o + f = 4*y, y - 2*o = 3*o + 332. Is y a prime number?
True
Let o(f) = -2 + f**2 - 15*f**3 - 3*f + 2*f + 0*f**2 + f**3. Let k be o(-2). Let i = k - -263. Is i a composite number?
False
Let k(s) = 2*s - 10. Let r be k(5). Suppose -2*u + 142 = -3*m, 4*u = -r*u - 2*m + 300. Is u composite?
True
Suppose 3*v - 3*k = -10 + 37, 31 = 3*v - 5*k. Let h(w) = -w**2 + w. Let c(i) = -8*i + 6. Let z(u) = -c(u) - 8*h(u). Is z(v) prime?
False
Suppose -v = -0*v - 116. Let h = v - -12. Let d = h - 82. Is d prime?
False
Let d be (18/(-3))/(-3) - -18. Suppose 6*i = i + d. Suppose 0 = l + 1 - 2, h + i*l = 35. Is h a prime number?
True
Let q = 28 + -18. Let g(f) = -f**3 + 9*f**2 + 10*f + 5. Let x be g(q). Suppose x*m + 202 = 687. Is m prime?
True
Let g(a) = 33*a**3 + a**2 - a - 1. Let j be g(-1). Let t be ((-6)/(-12))/(4/j). Is 4 + t + -2 + 1045 composite?
True
Let v = 10789 - 4632. Is v prime?
False
Suppose 7*d = 5*d + 6. Is -3*(3064 + d)*1/(-3) composite?
False
Let t = 8 - 8. Suppose -11*m + 7*m = t. Suppose 4*w + f = 119, m = 8*w - 3*w + 3*f - 140. Is w prime?
True
Let b(y) = 83*y - 26. Let x be b(7). Let p = x - 318. Is p a prime number?
False
Suppose -5*p = -20, -3*g - 1843 = -6*g - p. Is g a composite number?
False
Let d = 2278 - 335. Suppose i - 4*i - 4*s + d = 0, 0 = -2*i - 2*s + 1298. Is i prime?
True
Is 285081/21 + 2 + 30/(-105) prime?
True
Let b be 7/(-28) - ((-3219)/(-4) - 1). Let s = b - -1895. Is s composite?
False
Suppose -a - 4*a - 2*c = -99249, 4*a = 2*c + 79392. Is a composite?
True
Let z(t) = t**3 + 13*t**2 + 12*t + 3. Let v be z(-12). Suppose 0 = -v*g - g - 4*l + 1964, 0 = -5*g - 3*l + 2459. Is g composite?
True
Let u(m) be the first derivative of -m**3/3 + 4*m**2 + 12*m + 4. Let j be u(9). Suppose 0 = -j*x + 6*x - 141. Is x prime?
True
Let p = 6 + -1. Suppose p = n, 3*n = 3*o - 130 - 458. Is o prime?
False
Let q(j) be the second derivative of -4*j + 1/6*j**4 - 2/3*j**3 - 1/2*j**2 + 0. Is q(-6) a prime number?
False
Let t(y) = 2078*y**2 + 5*y + 7. Let f be t(-2). Suppose 0*a = -7*a + f. Is a composite?
False
Suppose 16121 = 10*r - 206169. Is r a prime number?
True
Let g(t) = 7872*t**3 + t. Let r be g(1). Suppose 2*p - 4*j - 7869 = -3*p, -5*p = -3*j - r. Is p a composite number?
True
Is ((-4)/(-6))/(12/22068) a prime number?
False
Let j = 9 - 9. Let g = -6 - -9. Is -118*(2 - (g + j)) a composite number?
True
Let b = -18 + 15. Is b + (-34035)/(-6) + 1/(-2) prime?
True
Let n(d) be the third derivative of 11*d**5/30 - 7*d**4/12 - 3*d**3/2 - 39*d**2. Is n(-8) a prime number?
True
Suppose -16*x = -41518 + 302. Is x - -3*(-3 - -4) composite?
False
Let m be (18/(-8) + 3)*304. Suppose -g = 74 - m. Let c = 233 - g. Is c a prime number?
True
Let k = 2850 - -1697. Is k a composite number?
False
Suppose 3*t + 21740 - 85749 = 2*u, 0 = u + 4*t + 32032. Suppose b = -3*b - 2*z - 146, -33 = b - 3*z. Is u/b + (-4)/18 prime?
False
Let q be (6/8*1)/((-21)/(-84)). Suppose 0*n = -3*z + 5*n + 5428, 2*z = -q*n + 3625. Is z a prime number?
True
Let i be 96/(-42) - 2/(-7). Let h be (-10 + -1)/(i/24). Let l = h - -241. Is l composite?
False
Let k = -616 + 1004. Is ((-2)/(-4))/(2330/k - 6) a composite number?
False
Suppose -114*k + 54132 = -102*k. Is k a composite number?
True
Suppose 3*v = -2*v - 10. Let c = v - -37. Is c prime?
False
Suppose -3*u + 6*u + 1080 = 0. Let i = 614 + u. Suppose 3*b - b - i = 0. Is b prime?
True
Let c(z) = -z**2 + 9*z - 10. Let f be c(6). Suppose -f*j + 381 = -299. Is j a prime number?
False
Suppose 0*i = -4*i. Suppose 4*m - 3*s = 246, i*m - 3*s + 69 = m. Let y = m + -5. Is y a prime number?
False
Suppose -2*l + 2 = 4*g, 4*g - 3*g = 4*l - 22. Let v be (-21)/g*8/6. Is v - (-1 + 16/4) prime?
True
Let m(u) = u**3 + 6*u**2 - 9*u - 10. Let w be m(-7). Suppose f = -w*f - 25. Let h(x) = 21*x**2 + 7*x - 3. Is h(f) a composite number?
False
Suppose 5*u + q - 7848 = 2*q, 3*u + 4*q - 4718 = 0. Let g = u - 887. Is g a prime number?
True
Let y(j) = -j**3 - 19*j**2 + 23*j + 52. Is y(-23) a composite number?
True
Let c(g) = -9*g**3 + 2*g + 1. Let m be c(-1). Let p = m - 10. Is 1*(0 + p + 25) a composite number?
False
Let m(n) = 26*n**2 + 3*n - 14. Let x(j) = 1. Let y(h) = m(h) + 2*x(h). Is y(5) a composite number?
False
Suppose p - 242 = 4*b + 166, 404 = p - 3*b. Suppose -4*i + p = -1620. Suppose -i = -3*z + 4*l + 86, 5*l = -z + 228. Is z a prime number?
False
Suppose 3*n = -13 - 2, -2*q + 4*n = -34386. Is q prime?
True
Let u(n) = -n**3 + 5*n**2 + 5. Let q be u(5). Suppose -4*m = -5*k - 157, -158 = -q*m + 5*k + 42. Is m a prime number?
True
Let t = -28 - -39. Let q(y) = -10*y**3 + 41*y**2 - 38*y - 10. Let f(l) = -7*l**3 + 27*l**2 - 25*l - 7. Let a(m) = -7*f(m) + 5*q(m). Is a(t) a composite number?
False
Let k(b) be the third derivative of b**6/120 + b**5/10 + 5*b**4/24 - 2*b**3/3 + 8*b**2. Let l(f) be the first derivative of k(f). Is l(-12) composite?
False
Let a = -4366 + 9573. Is a a prime number?
False
Let y(p) = -2*p - 4. Let q be y(-2). Suppose -4*t - o + 2492 = q, t - 3*o - 623 = -7*o. Is t composite?
True
Suppose -9*t - 7*t = -64. Suppose 3*r + 3 = 0, -2*b + t*b = 5*r + 1915. Is b a prime number?
False
Let u be 4/18 - (-1120)/(-18). Suppose 0*m - 150 = 15*m. Is m/4*1*u a composite number?
True
Let p(j) = 329*j**2 - 9*j - 7. Is p(-4) composite?
True
Suppose -72406 = -13*m + 11*m. Is m prime?
False
Suppose 20*k = k + 26581. Is k composite?
False
Let a be (-12)/20 - 117/5. Let i = a - -18. Is (0 + 10)/(i/(-213)) a prime number?
False
Let z be (2358/(-2))/(11/(-11)). Let b = z + -700. Is b prime?
True
Let u be ((-12)/10)/((-1)/(-100)). Suppose -24*f - 275 = -19*f. Let r = f - u. Is r a composite number?
True
Let d(c) = 192*c**2 + 22*c + 43. Is d(-12) a composite number?
False
Let h be (-1)/(10/(-12))*-75. Let p be 1/(-1)*(41 - -5) + -1. Let g = p - h. Is g composite?
False
Suppose 4*p = 7*p. Suppose -23 = -4*o - p*o + 3*c, 0 = -o - 5*c. Suppose o*q + 5*s - 413 = s, 4*s = 5*q - 437. Is q a composite number?
True
Suppose -7*b + 164612 = 21*b. Is b a composite number?
False
Let i(a) = 18*a**2 + 64*a + 303. Is i(-22) prime?
True
Suppose 4*f - 2221 = -2*p - 123, -4220 = -4*p - 2*f. Is p/5 + 4/(-10) prime?
True
Is 364585/75 + 2/60*-4 a prime number?
True
Let d be (-2)/(-8) - (-2)/(-8). Let j be d - (4/(-1))/2. Is ((-177)/(-15))/(j/10) a prime number?
True
Let o(l) = l + 422. Let p(i) = 2*i**2 + 4*i - 6. Let m be p(-3). Is o(m) a prime number?
False
Let i(j) = -j**2 - j + 2. Let c be i(0). Suppose c*v = 3*a + v - 1135, 5*v = 10. Is a composite?
False
Suppose -4*c - 2*g - 21798 = -6*c, 4*g - 32725 = -3*c. Is c a composite number?
False
Let q = 4676 - -2933. Is q a composite number?
True
Let h = 3 - 1. Suppose -z = w + w + 5, h*w = 2*z + 10. Suppose w = 4*g - 0*g - 1060. Is g a prime number?
False
Let q(d) = -d**2 + 8*d + 8. Let y be q(9). Is -2 + (-1 - 420)/y a composite number?
False
Suppose -7*i = -9*i + 2. Let k = i - -156. Is k prime?
True
Suppose -5*x = 2*n + 58, -2*x + 79 = -5*n + 2*x. Let g = n + 25. Suppose 4*o + 3*w = -o + g, 4*w + 3 = -3*o. Is o prime?
True
Suppose 83*u = 93*u - 36910. Is u a prime number?
True
Is (1/2)/((-38)/(-3538180)) prime?
False
Let t = -176 + 178. Suppose u = -t*u + 2661. Is u a composite number?
False
Let y be (-3)/7 - 140/(-98). Is y/(-3) - (-37536)/72 a prime number?
True
Suppose -u = -v - 6*u + 24, 3*u + 27 = 4*v. Suppose 4*d - 7*d = -v. Suppose 2*t - d*t + 50 = 2*w, -5*w + 212 = 4*t. Is t a composite number?
True
Let p(s) = 2*s**2 - 2*s - 7. Let l be p(3). Suppose -l*m = -8*m - 369. Let t = m + 205. Is t a composite number?
True
Suppose -6*u + g + 668 = -5*u, u - 648 = 5*g. Is u prime?
True
Suppose 7*c - 9516 = 7823. Is c a composite number?
False
Suppose -f - 7 = -12. Suppose 4*i = f*d + 3*i - 4598, 2*d = 2*i + 1844. Is d composite?
False
Let k be 2/(1 - (-198)/(-195)). Let t = 263 - k. Is t composite?
True
Suppose -4*f + 16*f - 17676 = 0. Is f prime?
False
Suppose 4*q = q + 6. Suppose 0 = q*z + z. Is (17 - 15) + (155 - z) a composite number?
False
Let p(s) = 2940*s**2 + 8*s - 2. Is p(-3) composite?