 a composite number?
False
Let j(n) = -n**3 - 7*n**2 + 8. Let y be j(-7). Suppose -y*i + 510 = -6*i. Suppose 2*k + k - i = 0. Is k a composite number?
True
Let h be (-54)/(-21)*(0 + (-1596)/(-9)). Suppose -t + h = -2*r - 4335, 4*t - 19158 = 2*r. Is t a composite number?
False
Suppose -19951 = -12*h + 19193. Let u = h - -195. Is u a prime number?
True
Let u(x) = 14420*x + 5933. Is u(31) prime?
True
Let p(u) = -60*u**3 - u + 2. Let z be p(3). Let d = z - -1098. Let c = -312 - d. Is c composite?
False
Let u(k) = 12949*k + 909. Is u(2) prime?
False
Suppose -146*y = -88*y - 80098. Is y a prime number?
True
Let n(f) be the first derivative of 264*f**2 + 133*f + 56. Is n(10) prime?
True
Suppose 1192327 - 1212841 = 128*z - 14250402. Is z a composite number?
True
Suppose -h - 78 = -5*n, 0 = -h + 4*n - 13 - 66. Let b = 81 + h. Let k(j) = -2059*j + 9. Is k(b) composite?
False
Let r(a) = -3*a - 6 + 18*a**2 - 7 - 1. Let q be ((-826)/(-295))/((-2)/5). Is r(q) prime?
False
Let k = 6606 + -9881. Let j = -352 - k. Is j prime?
False
Let x be -1637 - 3/((-3)/3). Let t = 838 + x. Let g = -465 - t. Is g a composite number?
False
Suppose 2*j - 4*j - 5*y = -679, -3*j - 3*y = -1041. Let l = j + -105. Let f = l - 116. Is f prime?
True
Let s(m) = 24121*m**2 - 166*m + 9. Is s(-4) composite?
False
Suppose 119 - 75 = 4*u. Suppose u*b - b - 28780 = 0. Is b composite?
True
Let y be 51/12 - (-2)/(-8). Suppose 23*p - 118 + 473 = 94*p. Suppose 3*n + p*s = 2534, 2*s - 3397 = -y*n - s. Is n a composite number?
False
Let x = 151 - 155. Is 0 - (-4 + (x - 231)) composite?
False
Let i = 23141 - 3950. Is i a prime number?
False
Let t(m) = 7*m**3 + 5*m**2 - 4*m + 6. Let n be t(8). Let d = 7261 - n. Is d composite?
True
Suppose -14*v - v = 7*v - 3763958. Is v a prime number?
False
Let b = -17139 + 28233. Suppose 11073 = 12*v - 10*v - 3*k, 4*k = -2*v + b. Is v prime?
False
Suppose -56*s + 281*s = 158517225. Is s a composite number?
False
Suppose -7*k + 6*k + 170131 = -2*h, -3*h = 4*k - 680579. Is k a composite number?
False
Let t(k) = 1044949*k**2 - 32*k - 16. Is t(-1) a prime number?
False
Let a(b) = -1944*b + 149. Is a(-3) a composite number?
False
Let i = 100137 + -69646. Is i prime?
True
Let f be -1 + 2849 + (1 - -4 - 9). Suppose -5*u + f - 939 = 0. Is u a prime number?
False
Let n be 1/2*(-284 - -6). Let g = n + 145. Suppose -879 = -g*j + 2445. Is j prime?
False
Let c(v) = -5*v - 54. Let m be c(-6). Let p be 24/(-14) + 24/(-84). Is (892/m*p)/(2/6) a composite number?
False
Suppose 13811 + 21196 = 7*y. Let n = y + -3488. Is n a prime number?
False
Suppose 2*y = 1616 + 1356. Let u = y + -123. Is u a composite number?
True
Let n be ((-114)/(-95))/(6/2235). Let a = n + -236. Is a a prime number?
True
Let v be (-6)/((-3 + 2)*1). Suppose -r + v*r + c - 4795 = 0, r + 2*c - 968 = 0. Suppose -5*b + r = -3*b. Is b a composite number?
False
Let a be (-6)/9*(-522)/(-12) + -3. Let l = a + -552. Let r = 663 - l. Is r a composite number?
True
Let a(n) = 11*n - 16*n - 3*n**2 - 18*n + 2*n**2. Let g be a(-7). Let p = g - 25. Is p composite?
True
Let b = -82304 - -165051. Is b a prime number?
False
Let q = -36 - -27. Let f = q + 0. Is f/(-12) + 0 + (-1625)/(-4) prime?
False
Let n(f) = 1412*f + 1893. Is n(4) a composite number?
False
Suppose 5*t = 5*j + 17 + 23, -5*t + 4*j = -44. Suppose 3*z - t = o, 2*z = -3*z - 2*o + 20. Suppose z*r - 813 = r. Is r a composite number?
False
Let k(b) = -6935*b**3 - 15*b - 23. Is k(-2) a prime number?
True
Let r(o) = -86*o - 110. Let v be r(-29). Suppose 2*w + 2*x = v, x + 9 = 4*x. Is w composite?
True
Suppose 5*l = 0, 3*l + 241 = -x + l. Let i(d) = -3*d**3 - d + 6. Let j be i(5). Let y = x - j. Is y a composite number?
True
Suppose 0 = l - 5*l - 40. Let s be l/(-35) - (-19)/7. Suppose 0 = -s*b + t + 924, 5*t - 1216 = -4*b + t. Is b a composite number?
False
Let r = -128 + -250. Let s = 419 - r. Is s a composite number?
False
Let l(t) = 2*t - 34. Let z be l(18). Let n(u) = -u**2 - 6*u + 10. Let o be n(-7). Suppose 743 = -z*x + o*x. Is x a composite number?
False
Suppose 14305 = -15*a + 567640. Let d = a - 19548. Is d a composite number?
False
Let b = 72270 + 41621. Is b a composite number?
False
Let i(o) = -651*o - 52. Let z(y) = 6*y + 51. Let a be z(-9). Is i(a) a prime number?
True
Suppose 15*u = -2*h + 13*u + 36226, -5*u = 0. Is h prime?
False
Is ((-60)/(-80) - 17711540/(-16)) + (4 - -1) composite?
False
Let u(t) = -349*t + 42. Let r = -330 - -311. Is u(r) prime?
True
Suppose 0 = -4*u + 5*r + 3044457, -685*r = 3*u - 688*r - 2283342. Is u a prime number?
True
Let p(b) be the second derivative of -82*b**3 + 233*b**2/2 - 138*b. Is p(-27) prime?
False
Let i(v) = -37*v**2 - 151*v + 22. Let g(u) = 19*u**2 + 76*u - 11. Let d(n) = 7*g(n) + 3*i(n). Is d(-34) composite?
True
Let q = -983 - -983. Is 15/(q + -3) + 52671 + 1 prime?
True
Suppose -2*i = 2*i - z - 56, 5*i - z = 71. Suppose -s - 9 = -3*q, -3*q + 4*s + i = s. Is (-563)/((1/q)/(1/(-2))) a composite number?
False
Let q(y) be the first derivative of 21/2*y**2 - 7*y + 1/2*y**4 + 15 - 5*y**3. Is q(15) a prime number?
False
Suppose -3*v + 4*l + 534087 = 0, 0 = -1062*v + 1061*v + 4*l + 178045. Is v composite?
False
Is ((-3)/54 - (-6)/36) + (-1636376)/(-36) prime?
False
Suppose -10*h + 1789309 = 11*h + 122308. Is h composite?
True
Let g be 6/11 + 4679450/110. Suppose 4*b - g = 3*o, 18*o - 15*o - 31932 = -3*b. Is b prime?
True
Suppose 66*g - 62*g = 2*s + 1760636, -2200795 = -5*g - 2*s. Is g a prime number?
True
Let s = 910 - 170. Let l be (-2)/4 - (-2868)/8. Let m = s - l. Is m a prime number?
False
Suppose -6*a + 3*a + 2*l + 34385 = 0, 2*a = -l + 22921. Let s = a - 8090. Is s composite?
False
Let t = -28 - -22. Let a = -12 - t. Is 340/1 + a + 12/4 a composite number?
False
Suppose 100335 = 6*v - 131895. Is v a composite number?
True
Suppose 987778 = -33070*r + 33092*r. Is r composite?
True
Suppose 4*m - 4*r - 8 = 0, 5*m + 4*r = 24 + 4. Suppose 6*g = 3*d + m*g + 4, -g = -2*d - 2. Suppose -6*k + 236 + 1648 = d. Is k prime?
False
Let u = 107 + -105. Let r(i) = 61 + 5*i + 2*i**u - 4*i**2 + 8*i**2 - 80. Is r(-14) a prime number?
True
Let t be 455/143 - 4/22. Suppose 0 = t*m - 12*m - 18. Is 34 + ((-3)/(-4))/(m/(-8)) prime?
True
Suppose -8*d + 8*d = -12*d. Suppose -3*w - 3602 = -4*l - d*w, -2*w + 4491 = 5*l. Is l prime?
False
Suppose -8*f = -9*f. Suppose f = 2*u + 2*u + 12, -4*j - 367 = 5*u. Let k = 961 - j. Is k prime?
True
Let n(u) = 52*u**3 + 19*u**2 - u + 93. Is n(11) a composite number?
False
Suppose -4*i = 2*q - 27784, -i - 21*q + 16*q = -6937. Is i prime?
True
Let l(w) = 279*w**2 + 2. Let i be 3 - 1/((-2)/(-8)). Let t be l(i). Suppose -t = -2*a + 141. Is a a prime number?
True
Suppose 15*x = 7 - 7. Suppose x = 51*a - 54*a + 993. Is a prime?
True
Let u(w) be the first derivative of -28*w**3/3 - 27*w**2/2 + 22*w - 20. Let l(x) be the first derivative of u(x). Is l(-6) prime?
False
Is (-415204*7/(-84))/((-2)/(-6)) a prime number?
True
Let w = 158 - 153. Suppose w*d - 4*a = 14542 + 3403, 3*d = 4*a + 10759. Is d a composite number?
False
Let x(h) = 434*h - 15. Let l(o) = -435*o + 14. Let p(t) = 4*l(t) + 3*x(t). Is p(-1) a prime number?
True
Suppose 0 = -2*w + 6*w - 3*d - 122116, 9*w = 2*d + 274761. Is w composite?
False
Let s be 131463/(-8) - 36/288. Let c = -11576 - s. Is c a prime number?
False
Let l(u) = 20730*u - 15557. Is l(7) composite?
False
Let k(g) = -20*g**3 + 7*g**2 + 9*g + 5. Let x be k(8). Let a = x + 14004. Is a a composite number?
False
Let x be (110/(-40))/((9/(-6132))/3). Let s = x + -3820. Is s a prime number?
True
Let q be ((-3 + 5624)/1)/1. Suppose 4*f + k - 3*k - 7478 = 0, 4*k = 3*f - q. Is f a composite number?
False
Let c(f) = 124*f**3 - 2*f**2 + 6*f + 3. Is c(3) a composite number?
True
Let a(p) = -11 + p**3 - 7*p**2 - 10*p**2 + 94*p - 77*p. Let k be a(16). Suppose -n - 3*s - s = -1390, -k*s = -3*n + 4136. Is n a prime number?
False
Let c(q) = -150*q - 2. Let j be c(1). Let k = j - -191. Suppose -k = -p + 4*m + 94, -4*m - 20 = 0. Is p a composite number?
False
Let b be (-3)/4 + ((-2373)/(-12) - -2). Suppose 3*w = r + 2004, 201*r - 2662 = -4*w + b*r. Is w prime?
False
Let b = 25109 - 24198. Is b prime?
True
Is (18 - 232769)*-11 + -14 prime?
True
Let s be (-3692)/130*(5 + 0). Is (1961/(-74))/(1/s) a pr