1379. Is a(3) a prime number?
True
Let s = 124 + -148. Let j be (s/5)/((-2)/(-1355)). Let n = -2133 - j. Is n prime?
False
Let a = 11097 - 6270. Suppose -15*d - a = -35532. Is d prime?
False
Let h(o) = 13722*o**2 + 17*o - 8. Is h(5) a prime number?
True
Let l = 108540 + 655. Is l prime?
False
Let y(j) = j**2 + 3*j - 1. Let k be y(-4). Suppose -6*a - k*a = -18. Suppose d = 4*r + 893, r - 4*r + 1808 = a*d. Is d a composite number?
True
Let t be (15/(-5))/(3/(-3)). Suppose 0 = g - 0*g - t. Suppose 0 = -g*f - f + 884. Is f a composite number?
True
Let r = -213 + 199. Is (2913 + (1 - 1))*r/(-21) prime?
False
Suppose -k - 296 = -4*t, -k = -7*t + 5*t + 294. Let b = k - -544. Let d = b + 457. Is d composite?
False
Let f = 89605 + -19076. Is f a prime number?
True
Is -13 - (-7626 + 9 + -9) a prime number?
False
Suppose -p - 20*o = -18*o, -2*o - 6 = 0. Is p/8 + -1 - (-3220707)/412 a prime number?
True
Let s = -48 - -56. Suppose t = -j, s = -t + 2*j - j. Is (t/20 + 1981/(-5))*-5 prime?
False
Let r = -64 + 67. Suppose 2*b + r*g = 499, 2*b + 4*g = -0*g + 494. Suppose -122 - b = -a. Is a composite?
False
Let p(f) = f - 36. Let g be p(-19). Is (-4)/22 + ((-51820)/g - -5) a composite number?
False
Suppose 5*q = 9*q - 20. Suppose a - q*w = -w - 10, -3*w = -a - 7. Suppose -a*i - 2*i = -1772. Is i a prime number?
True
Is ((-6)/(-4)*4)/(14/133217) prime?
False
Let h(p) = 164*p - 7. Let l be h(5). Let j(s) = 61*s**2 - 6*s + 22. Let c be j(-4). Suppose c + l = k. Is k prime?
False
Let r be (1 + -25)*(-4)/(-18)*-3. Suppose -2226 = -r*h - 834. Suppose -2*u + 5*b = -u - 87, -u + 4*b = -h. Is u prime?
False
Let c = -2750 - -5521. Is c a composite number?
True
Let a(s) = 3*s**3 - 31*s**2 - 19*s - 32. Let g(i) = 2*i**3 - 15*i**2 - 10*i - 18. Let w(b) = 2*a(b) - 5*g(b). Is w(-17) a prime number?
False
Is (178 - 175) + 1 + 143695 prime?
True
Let g be (-4 - 0)*(-96 - (-25)/(-5)). Let m = 3223 - g. Is m composite?
False
Suppose 4*d - 137 + 4 = -5*c, 3*d - 120 = 3*c. Let t = d - 58. Let w = 52 + t. Is w a prime number?
True
Suppose 0 = y + 347 - 3437. Let a = y - 1949. Is a a prime number?
False
Suppose 0 = -6*d + 9*d - j - 7, 4*d + 3*j - 31 = 0. Suppose 3*a - i - 2515 = -0*i, -d*i = 4*a - 3364. Is a a prime number?
True
Let i = -208 + 213. Suppose i*t = 33250 - 11255. Is t composite?
True
Let s be (-152)/(-57)*(-618)/(-8). Suppose -3*j = -3*b - 993, 2*j + b - 971 = -303. Let w = j - s. Is w composite?
False
Let u(v) = 133*v**2 - 22*v - 55. Let z be u(-8). Let g = z + -4644. Is g composite?
False
Let l = -3650 - -1913. Let z = 2650 + l. Is z prime?
False
Suppose 21270 = -5*o + 2*i + 74997, -2*o = 3*i - 21506. Is o prime?
False
Suppose -8310 = -5*j + k, -4*j + 6624 = -k + 5*k. Let x = j - 1104. Is x a prime number?
True
Let m(n) = 4*n**2 - 97*n - 782. Is m(79) prime?
True
Let u = 122 - 197. Let v be (u/(-50))/((-3)/(-2848)). Let n = v + 4077. Is n prime?
True
Is (5/25)/(-6 + (-6 - 1598461/(-133205))) a composite number?
False
Is 237 + -227 - 67*-243 prime?
False
Let h = 22 - 18. Suppose h*u - 11690 = -3*u. Let m = u + -555. Is m composite?
True
Let i be -1*3 + (-4 - (-212)/(-4)). Let x be (i/(-9) - 6)*(-4 - -1). Is 5579/(-7)*(x - (-2 - -1)) a prime number?
True
Suppose 42974277 = 206*f - 17422245. Is f composite?
True
Let d(h) = h + 10. Let t(n) = -n**3 + 20*n**2 - 20*n + 13. Let o be t(19). Let a be d(o). Is 68 + 0 + 4/a composite?
True
Let r be 1544 - (-3 + 1 + -2). Suppose -33*k = -31*k + r. Let b = 3493 + k. Is b a composite number?
False
Suppose -a + 954401 = -m + 119971, 3*m - 9 = 0. Is a composite?
False
Let f(g) = -g**3 - 7*g**2 - 3*g - 9. Let r be f(-4). Let j = -49 - r. Is 5753/11 - j/(-2) prime?
True
Let u be (-4)/(-10)*29150/220. Suppose 0 = -u*c + 60*c - 10717. Is c a prime number?
True
Is ((374/(-17))/(-22))/(1/142261) composite?
True
Suppose -2*h - 4*a = -20128, 5*a = -h + 4*a + 10062. Suppose 7*x - h = 19221. Is x a prime number?
False
Suppose 3*t - 3570 = 3*s - 822, 2*s - 10 = 0. Suppose -3*x + 4*k + 2763 = -0*x, t = x - 4*k. Is x prime?
False
Let m(x) = -2*x**2 + 6*x - 8. Let d be m(5). Let z = -40 - d. Is 3*178/z*-2 a prime number?
True
Suppose 20*w = 3*v - 465643, 5*w - w = -8. Is v a prime number?
True
Let r = -778 - -781. Suppose -b = -31*j + 34*j - 14276, 2*j = -r*b + 9515. Is j a prime number?
True
Suppose 6*t - 572588 + 271909 - 558143 = 0. Is t prime?
True
Let f be ((-28)/(-6))/(5*(-6)/(-135)). Let h = f + -26. Is (934/(-8))/(h/20) prime?
True
Let v(u) = 8*u + 4. Let r be v(2). Let b = -16 + r. Let g(a) = 9*a - 1. Is g(b) prime?
False
Let w(r) = -3519*r - 407. Is w(-6) composite?
False
Is 127224/8 - (2 - 0) prime?
True
Let j(v) = -25*v - 276. Let c be j(17). Let w be (-1138)/(-5) - (-2)/5. Let q = w - c. Is q prime?
True
Suppose -13*y + 29 - 107 = 0. Let h(d) = -17*d**3 - 13*d**2 - 31*d - 11. Is h(y) composite?
True
Let d(c) = -8*c**3 - c**2 - 2*c + 1. Let z be d(-3). Let j be 9 - -480 - (-24)/(-6 - -2). Let y = j + z. Is y a composite number?
True
Let t be ((-40)/30)/(16/(-12)). Let r = -2 + 11. Is 30/135 + 1609/r*t a composite number?
False
Let n(y) = -12*y**3 + 6*y**2 + 37*y + 12. Let t be n(-11). Let k = t + -7642. Is k a composite number?
True
Suppose 4*u = 24*u - 88120. Suppose 886 = v + 2*q, u = 5*v + 6*q - 2*q. Is v a composite number?
True
Let w be 40/20 + 10/(-2) + -2. Is (-54081)/w - (-68)/85 a composite number?
True
Suppose -5*h + 171 = 61. Let a = h + -20. Suppose 717 = i - a*k, 3598 = 5*i + 4*k - k. Is i a composite number?
False
Suppose 87*x - 88*x = -39012. Suppose 8*z = -4*z + x. Is z a prime number?
True
Let k = -24 + 75. Suppose 0 = -52*z + k*z + 3281. Is z prime?
False
Let k(j) = 21*j**3 + 9*j**2 + 7*j - 1. Is k(8) composite?
False
Let c(n) = -4*n**3 - 5*n**2 + 9*n + 1. Let i = -18 + 20. Suppose 3*t + 2*u - i + 20 = 0, -u = 0. Is c(t) prime?
True
Suppose -1747*v + 1752*v + 4*g - 387197 = 0, v - 2*g = 77431. Is v a prime number?
False
Let w(o) = o + 1. Let h be w(-13). Is (-4 - 30/h)*-446 prime?
False
Suppose 0 = c + 4*k, -2*k = 3*c - 5*k. Suppose -5*v + c*u - 3*u + 1 = 0, 0 = 4*v + 2*u. Is 12/(v/(-3)*6) a prime number?
False
Suppose a + 70 = 2*c, -5*c + 4*a + 174 = a. Suppose -2*p + 8*p - c = 0. Suppose p*s - 40 = 146. Is s a composite number?
False
Suppose 2*u + 4 = 6*u, 4*y - 2*u = 14. Suppose 3*p = 5*d + 6*p - 1160, 5*d = y*p + 1195. Is d a composite number?
True
Let v(o) = -o**3 - 12*o**2 - 12*o + 5. Suppose 45 = -5*q + 5*j, 3*q + 6 = 5*j - 17. Let r be v(q). Is 10100/r - 2/8 a prime number?
True
Let s(f) = -f**3 - 30*f**2 + 5. Let y be s(-30). Suppose 5*b = 2*n + 59099, -5*b + 8*b - 35448 = y*n. Is b a composite number?
False
Suppose -2*a + 14 = -4*i, -4 + 33 = -4*i - a. Let l(b) = b**2 + 3*b - 16. Let h be l(i). Suppose u - 85 - 42 = 3*g, -h*u + 264 = -4*g. Is u a composite number?
True
Let j(a) = 39*a**2 - 52*a - 118. Is j(-27) a prime number?
True
Suppose -14*u + 17*u - 3*z = 1581177, 4*z = -u + 527029. Is u a prime number?
True
Let y be (-93)/(-21) + 6/(-84)*-8. Is 40*55 + (y - (1 + 1)) a prime number?
True
Suppose 5*u + 5*m = 55 - 25, -16 = -4*u + 4*m. Suppose 464 + 421 = u*z. Is z prime?
False
Suppose 3*m = -5*d + 5*m + 33, -5*d = m - 36. Suppose -7*q = -28 - d. Is (q/2)/(2/(0 + 356)) a prime number?
False
Suppose -3*x + 4764 = v, 4*v - 6*v + 1583 = x. Suppose -2*r - j = -x, r + j - 802 = -2*j. Is r prime?
False
Let u(a) = a**2 - 5*a - 16. Let n be u(-3). Let o(p) = -n + 28 + 301*p - 8 - 6. Is o(1) prime?
True
Let w = 218 - 232. Is (-40)/280 - 203268/w a composite number?
False
Let o(m) = -m**3 - m**2 - 5*m - 4. Let z be 2 - (-2 + (4 - 8 - -10)). Let v be o(z). Let g(w) = w**2 - w + 31. Is g(v) prime?
False
Let u(n) = 13*n**2 - 993*n + 196. Is u(-65) composite?
True
Suppose 46248317 = 71*q + 12938454. Is q composite?
False
Let w = -16 + 9. Let s(i) be the first derivative of -3*i**4/4 + 8*i**3/3 + 6*i**2 + 14*i + 1818. Is s(w) prime?
False
Is (-1 + -1)*((-272934)/4 + 129/(-43)) a composite number?
True
Suppose 203373 = 19*p + 57776. Is p a composite number?
True
Let f(y) be the third derivative of -139*y**4/24 + 79*y**3/6 - 6*y**2 + 1. Is f(-22) composite?
False
Let h = 1139342 - 810879. Is h a prime number?
False
Suppose 2*g - 456160 = -16*g - 62*g. Is g a prime number?
False
Let z(i) = 472*i**3 + i**2 - 3*i + 2. L