a) = 5*a**2 + 30*a - 6. Let i = -89 + 82. Let n be z(i). Suppose 24*x = n*x - 7805. Is x a prime number?
False
Let r(v) = 477*v**2 - 31*v + 3. Let o be r(13). Suppose 10*b + 19543 = o. Is b a composite number?
False
Let i be 28/(16/(-4))*(-4)/14. Suppose -2 = 4*f + i. Is (0 - (f - 2)) + 316 - 2 a prime number?
True
Suppose 6*w + 5*w - 2*w - 1369647 = 0. Is w composite?
False
Suppose 0 = r - 2 - 1, 3*t = 5*r - 21. Is t/((-4144)/(-2076) + -2) a prime number?
False
Is 0 + (-1)/(-6) + (-78124746)/(-252) a composite number?
False
Let o(u) = -5446*u**2 - 12*u + 11. Let g(h) = 16338*h**2 + 38*h - 35. Let b(r) = -2*g(r) - 7*o(r). Is b(1) composite?
True
Let t = 115 + -113. Is ((-16)/28)/t + 6141/7 composite?
False
Suppose -556*f = -545*f - 272814 + 2093. Is f a prime number?
True
Let k = -105 + 905. Let y = 398 + k. Is y a prime number?
False
Suppose -u = 2*r + 2*u, -2*u + 10 = 3*r. Suppose -447 = -5*c + 2*l, -l - 178 = -r*c + 4*c. Is c a prime number?
False
Suppose 5*s = -3*w + 39 + 819, -4*w + s = -1121. Let c = w + 402. Is c composite?
False
Is 52*((-2820582)/(-216) + (-1 - 7)) a prime number?
False
Let a(r) = -2*r**3 + 4*r**2 - 5*r + 9. Let c be a(5). Let h = c - -1233. Is h a prime number?
False
Let k(g) = 8068*g - 405. Is k(13) a prime number?
True
Let m(t) = -2*t**3 + 34*t**2 - 18*t + 295. Is m(-31) composite?
True
Suppose 15229866 - 7992671 = 24*l - 8664029. Is l composite?
False
Let n(z) = 106*z**2 + 2*z + 43. Is n(-18) composite?
False
Let v = 338 - 332. Let t = -1395 - -2993. Suppose -v*m = -4*m - t. Is m prime?
False
Suppose -2*v - 6*v - 12176 = 0. Let r = 385 - v. Is r a prime number?
True
Suppose 6*f - 5*j = 117008, 2*j = 7*f - 5*f - 39004. Suppose -h + f = -i, -23*i = -24*i. Is h a composite number?
True
Let v be (-12)/(0 - -3) - (4 - 5). Let p(k) = -43*k. Let a be p(v). Suppose -823 = -8*c + a. Is c a composite number?
True
Let i(f) = 139*f - 2. Let t(w) = -3*w + 42. Let h be t(11). Is i(h) prime?
True
Let g = -396 + 399. Suppose 0 = 5*u + r - 43770, g*u + u + 5*r - 35037 = 0. Is u a composite number?
False
Let m = 328 + -294. Suppose 27*z - m*z + 6433 = 0. Is z a prime number?
True
Suppose 15 = 3*h, t + 0*t - 4*h = 4788. Suppose 0 = 5*y - y - t. Let a = -823 + y. Is a composite?
False
Let j = 87 + -82. Suppose -6974 = -2*f + j*h, -3692 = -f - 5*h - 205. Is f a prime number?
False
Let b be (-7 - (-217)/49)*(-14)/(-2). Let x be (-3)/b + 59/6. Let r(d) = 6*d**2 - 19*d - 13. Is r(x) prime?
True
Let r be (1/(-3))/((-5)/(-45)) - -7. Suppose -1 + 1 = -r*p. Suppose z - 3*z + 2174 = p. Is z composite?
False
Let m(g) = -60*g - 49. Let s be m(-9). Suppose 4*f - 4113 = s. Is f prime?
True
Let j = 92679 - -37412. Is j a composite number?
True
Suppose -7*a + 2*a = 15. Let t be (-1 - 32)*a/(-9). Is (-10 - t)*(-1)/(-1)*2767 a prime number?
True
Suppose -2*u = 3*u - 45. Is (u/6)/(21/109396) prime?
False
Suppose 46 = -2*o + 22. Let g(k) = k**3 + 11*k**2 - 11*k + 16. Let r be g(o). Suppose x + 5*w + 2500 = 6*x, -r*x + w + 1997 = 0. Is x prime?
True
Suppose -6 = -3*z, -5*p + 3*z + 209 - 190 = 0. Let c = -8 - -12. Suppose -c*i + 5013 = p*d, 488 = 3*i - 4*d - 3233. Is i composite?
True
Suppose -7*y + u = -2*y - 17, -4*u = y + 5. Suppose -106 = -y*a - 5*k + 142, -a + 86 = 5*k. Suppose 402 = 3*b - 5*q, -a + 362 = 2*b + q. Is b a prime number?
True
Let v = -315 - -1006. Is v prime?
True
Suppose 256 = 7*m - 3*m. Let t = -74 + m. Is (8472/48)/((-1)/t) composite?
True
Let v = 171376 + -88169. Is v a prime number?
True
Let q(x) = 5 + 4*x**2 - 14*x + 0 + 0*x**2. Let b be (705/165 - 4)*33. Is q(b) prime?
False
Suppose -11*o + 1777 = -324. Suppose 5*d = -4*w + 374, o + 184 = 5*d + 5*w. Let y = -17 + d. Is y prime?
False
Let c be (67095/28)/(5/20). Let b = c - 6422. Is b a prime number?
True
Suppose 5565 + 1878 = 9*j. Is j + -1 + (-12 - -11)*5 a prime number?
True
Let p be (-1 + 5)/(-16) + 925/4. Suppose -2*r = 3*j - p, 0 = 5*j - 10*j + 5*r + 410. Is j a prime number?
True
Let v = 453 + -461. Suppose -5*r + 4 = -6. Is (r/v)/((-22)/166232) a composite number?
False
Suppose 4*v - 13968 = -3*j, -11 = -j - 7. Is v composite?
True
Let h = -546 + 203. Let r = -198 + h. Is (1 - r/(-3))*(-3)/2 a composite number?
False
Suppose 0 = -4*x - 4*o + 657236, -x + 12*o + 164333 = 10*o. Is x prime?
False
Let c = 32637 - 48236. Let a = c - -31820. Is a a composite number?
True
Let p = 86457 - -250612. Is p a prime number?
True
Suppose 0 = 22*g + 2724 + 510. Suppose 2*q + 199 + 363 = 0. Let f = g - q. Is f a prime number?
False
Suppose 4*y - 4*r = 6*y - 6, 5*r - 20 = 0. Let h(o) = 79*o + 15. Let w be h(y). Let z = 771 + w. Is z a prime number?
False
Let p = -87782 - -126375. Is p prime?
True
Let r(v) = v**2 - 744*v - 11. Is r(-35) a composite number?
True
Let v be ((-42)/4)/(20/120). Is (v/(-14) - 5)*-18058 a composite number?
False
Suppose 118 - 11 = -k. Let j = 101 + k. Is ((-1848)/18 - -5)/(2/j) a prime number?
True
Let m(t) = -t - 6. Let q be m(-6). Suppose 0 = h - 0*p - p - 1152, q = -5*p - 20. Suppose 6*i = 10*i - h. Is i composite?
True
Suppose -3*p = 3*i - 51, -p = -4*i - 4*p + 68. Suppose 3*s + 3*r = s + 19, -4*s + 5*r = i. Is 2/((13344/(-2228))/3 + s) composite?
False
Let l be 51/(-204) + (-26301)/(-4). Is 6 + 324/(-48) + l/4 a composite number?
True
Let v(y) = 6*y - 18. Let j be v(15). Let x = 72 - j. Is (x - -1)*(-3 - (3 - 1489)) a composite number?
False
Let x(a) = -a**3 + 4*a**2 + a + 628. Let g(i) = i**2 + i - 1. Let b = -24 + 21. Let v(l) = b*g(l) + x(l). Is v(0) a composite number?
False
Let v = 130 - 103. Suppose -x - 4*q + 24 = 0, v - 2 = 5*x + q. Suppose 0 = x*n - 5*n + 337. Is n prime?
True
Let m(b) = -25 + 26 - 2*b + 2*b + b. Let q(y) = 976*y**2 + 1. Let n(z) = -2*m(z) + q(z). Is n(-1) composite?
False
Suppose 0 = 15*n - 246293 - 261487. Suppose 3*y + i - n = 0, -y + 5*i + 11268 = -0*y. Is y a composite number?
True
Let x(l) = -9*l**3 + l**2 + l - 3. Let f be x(-4). Let y = 822 - f. Suppose -s + 148 = -h, 2*s - y = 4*h + 57. Is s a composite number?
False
Let b(w) = -114*w**3 + 3*w**2 - 13*w + 15. Let z be b(-5). Let q = -7150 + z. Is q a prime number?
False
Let z(h) = -5*h + 5. Let d be z(2). Is 20/(-50) + (-197)/d a prime number?
False
Let m be (-2)/(5/5)*(-10)/5. Suppose -m*l + 9*z = 5*z - 22672, 2*z = 4*l - 22674. Is l prime?
True
Let l be 2/6 - (-36676)/6. Let h be -48 - -63 - (1 - -3606). Let g = h + l. Is g a composite number?
False
Let f be 7*((-52)/(-28) + 1). Suppose 4 = 8*z - f. Suppose -6*l = z*l - 15615. Is l a prime number?
False
Let c = -122957 - -240696. Is c composite?
True
Let f = -32928 + 1019261. Is f prime?
True
Suppose 0 = -j - h + 2 - 5, 5*j + 11 = -6*h. Let u = 3125 + -38609. Is u/(-28) - (-2)/j a prime number?
False
Let k = 604867 + -108990. Is k prime?
True
Suppose 31*u = 272*u - 8*u - 88063049. Is u a composite number?
True
Let b(i) = i**3 + i**2 + 5*i + 17. Let g = -66 - -66. Let k be b(g). Let l = k + 250. Is l a composite number?
True
Suppose l + 27 + 31 = 0. Let w = l - -61. Suppose -3*f - u + 242 = -2*u, 380 = 5*f + w*u. Is f a composite number?
False
Let w(c) = -c**3 + 4*c**2 - 4*c + 2. Let y be w(2). Let s be (y + -4 + 1)/(1/(-2)). Suppose -4*b = 5*f - 461, f - 12 - 69 = s*b. Is f prime?
True
Let w = -5211 + 7444. Let p = 16 + -10. Suppose 2*i + p*s - 4469 = s, 0 = -i - 4*s + w. Is i prime?
True
Let f(v) be the second derivative of v**3/3 - 8*v**2 + 3*v. Let j be f(8). Is (-1 - 1)*(j - 1839/6) composite?
False
Let g(u) = u - 2. Let p(k) = 882*k - 17. Let c(m) = 6*g(m) + 2*p(m). Is c(2) prime?
False
Is ((-12)/(-22))/3 + 1819110*11/242 prime?
False
Let a = -6074 + 3403. Suppose 0 = -3*t + m + 7332 + 5314, 0 = -2*m - 8. Let j = a + t. Is j a prime number?
True
Suppose -3*d = -w - 61 - 27, 4*w = 5*d - 149. Let n = -25 + d. Let q(p) = 2*p**3 + 4*p**2 + 2*p - 9. Is q(n) a composite number?
False
Let d(i) = i**3 + 14*i**2 + 27*i + 30. Let g be d(-12). Is -4 - 9430*(0 + g/12) composite?
True
Let z = -180669 - -458174. Is z a prime number?
False
Let i be (-17)/34 - 8351/(-2). Let f = 7254 + i. Is f a composite number?
True
Let o(n) = -7 + 6 + 3 - 12 - 273*n + 0. Is o(-7) a composite number?
False
Let c(k) = -99*k + 28. Suppose 20*h = 24*h - 12. Suppose h*z = -2*z - n - 48, -2*n - 51 = 5*z. Is c(z) prime?
True
Let s = 518844 + -75581. 