ppose 4*b - d = b + 3*k, -231 = -5*b + k. Is b a prime number?
True
Let i = 8217 + -5658. Is i prime?
False
Let p = 8029 + 2788. Is p a composite number?
True
Suppose z = 4*k + 6, 24 = -z + 5*z - 5*k. Let t(y) = -y**3 + 8*y**2 + 11*y - 13. Let v be t(9). Suppose 0 = z*c - v*c - 299. Is c a prime number?
False
Is -1 + (-202 + 2)*33/(-2) composite?
False
Let g(a) = 514*a**3 - 1. Let h(t) = t**2 + t. Let r be h(-2). Is g(r) prime?
True
Is -1*(-5)/4 + (-443220)/(-48) prime?
False
Suppose 26*a - 24*a - 102 = 0. Let b = a - -2. Is b a prime number?
True
Let q(y) = y**3 - 7*y**2 - 2*y + 7. Suppose -2*m = -7*m. Suppose -2*l = 3*c + 2*c - 41, 3*l + 5*c - 49 = m. Is q(l) a prime number?
False
Is (-108505)/(-10)*(0 - -2) prime?
True
Suppose 5*a - 4*j - 15331 = 0, -4*a - 1750 = -j - 14006. Suppose 2*i = -3*i - b + a, 4*i - 2446 = -3*b. Is i prime?
True
Let p be (-5 + 2)/(2/(-62)). Suppose 129 = x - p. Suppose x = 6*m - 3*m. Is m composite?
True
Suppose -u - 5 = 2*f, 0 = -5*f - 3*u - 4 - 8. Let w be 6/10 + f/5. Is -1 - (-107 - (-3 - w)) a prime number?
True
Suppose 0*i - 5*i - 45 = -3*g, -20 = 5*i + 2*g. Let t = i + 8. Suppose 6*l - 892 = t*l. Is l composite?
False
Let z = 15282 - 8477. Is z prime?
False
Suppose 36*w = 25*w + 30371. Is w composite?
True
Suppose -4*p = -5*v - 5420, -v + 2*v = -p - 1075. Let d = v + 3019. Is d prime?
False
Let k be 8/(-6)*(-2 - 1). Let w be 2/((-4)/(k - 2)). Is (-87)/(w - 0) - -2 a composite number?
False
Let h = -1633 - -4236. Is h prime?
False
Suppose 0 = -5*m + 28 + 17. Suppose -m = 3*o + 15. Let g = o - -31. Is g composite?
False
Let w(a) = a**2 - 2*a. Let t be w(3). Suppose -12 = -3*f - t. Suppose 61 = f*c - 2*x, 5*c - 5*x = 46 + 59. Is c a composite number?
False
Suppose 4*l + p - 41948 = 0, 3*p + 6759 = -2*l + 27733. Is l a prime number?
True
Suppose 5*h + g + 9 = 0, 0 = 3*g + 2*g - 5. Is (5333/h)/(17/(-34)) a composite number?
False
Let m be 4/(-14) + (-2)/(42/(-69)). Suppose m*d - 2*u - 460 = 1165, 546 = d - 5*u. Is d a prime number?
True
Let s = 13 + -29. Let p be 4/s + 2481/4. Suppose 2*h - p = -2*h. Is h prime?
False
Let f be (-36)/(-8)*6/9. Suppose f*x - x = 640. Is (38/8)/(16/x) a prime number?
False
Suppose 21*r + 35353 - 335254 = 0. Is r a prime number?
True
Suppose -7*z = -6*z + 3*n + 295, 3*n + 885 = -3*z. Let m = z - -854. Is m prime?
False
Let x(o) be the second derivative of o**4/2 - o**3 - 5*o**2/2 - 19*o. Is x(7) composite?
True
Let p be 7 + -4 - (2 - -1). Suppose p*u - u = -16. Is 29 - u/(-2 - 2) prime?
False
Let w(k) = 2*k - 1. Let j be w(1). Let p be ((-2)/(-4))/(j/6). Suppose 2*f + u - 51 = 102, 4*u = -p*f + 227. Is f a prime number?
False
Let n(o) = 492*o - 1. Let g(q) = 491*q. Let v(s) = -3*g(s) + 2*n(s). Suppose -5*r + 2*i - 3 = 8, -2*i = 5*r - 1. Is v(r) composite?
False
Suppose -3*k + 3693 = -3*r, -2*k = -0*k - 4*r - 2454. Is 5 + -1 + k/5 a composite number?
False
Is ((-374)/51)/((-2)/1077) prime?
False
Let t(d) = -d**2 - 8*d + 9. Let o be t(-9). Suppose o = 3*m - 7*m + 196. Suppose -6*a + m = -5*a. Is a a prime number?
False
Let r(a) = 4*a**2 - 5*a + 13. Suppose -1 = -3*f - 13. Is r(f) a composite number?
False
Suppose 7*r - 2*r - 725 = 0. Suppose 4*i - r = 3*i. Is i composite?
True
Suppose -12*w = 9*w - 11613. Is w composite?
True
Suppose -2*b = -5*b - 5*s + 498, -s = 3*b - 486. Let l = b - 66. Is l a composite number?
True
Let n(c) = -c**2 - 2*c - 2. Let j be n(-1). Is 0 - -401 - (3 - j) composite?
False
Suppose -6*c = 19901 - 52187. Is c a composite number?
False
Suppose 76*n = 73*n + 71103. Is n composite?
True
Suppose -18688 = -4*j + 5*o + 15331, -j + 4*o = -8513. Is j composite?
False
Is (-12276)/(-9) - (4 + -1) a composite number?
False
Suppose z = -2*z. Suppose 7*v - v - 24 = z. Suppose 0 = 4*g + 5*r - 2581, g - 2*g - v*r = -637. Is g composite?
True
Suppose 0 = -13*a - 28*a + 589211. Is a composite?
True
Let v = 16 + -9. Is 2 - 1 - (v - 133) prime?
True
Let n(p) = 13*p**3 - 2*p**2 + p + 1. Let o be n(-2). Let x = o + 316. Is x a prime number?
False
Let k(g) = 47*g**3 - 6*g**2 + 6*g - 14. Is k(3) a prime number?
False
Let h(a) = 336*a**2. Let y be h(2). Suppose b = -3*x + 998, -5*x + x - 4*b = -y. Is x a composite number?
False
Let s(p) = 45*p**2 - 22*p - 6. Is s(5) composite?
False
Suppose 135211 = 5*n - p, -4*n - 6*p = -2*p - 108188. Is n a composite number?
False
Let k = 46 + -42. Suppose k*x - 3496 = -p + 55, 3*x - p = 2658. Is x composite?
False
Let t be 2 + 3/(-6 + 3). Is (t - -481) + (-1)/1 composite?
True
Suppose 0 = -4*b + 2*b + 10. Suppose -z = -b*z - 68. Let c = z - -20. Is c prime?
True
Suppose 3*p + 2*p - 4*r = 0, -p - r - 9 = 0. Is ((-2118)/(-15))/(p/(-10)) prime?
True
Let n(a) = -12*a**3 - 9*a**2 + 3*a - 4. Let p be n(4). Let y = 1283 + p. Is y a composite number?
False
Suppose 2887 = 5*t - 353. Suppose 3*f = 2271 - t. Is f prime?
True
Suppose 5*s = -3*o + 6584, -4*o = -0*s - 2*s + 2618. Suppose 0 = -5*y - 2*u + s, 0 = 4*y - 3*u - 251 - 824. Is y prime?
False
Let n = 10364 + -6699. Is n a composite number?
True
Suppose 0 = 4*l - 2*k - 73 + 3, 3*k = -l + 35. Let h(c) = -c**3 + 4*c**2 + 14*c + 7. Let a be h(6). Suppose 21*f = a*f + l. Is f composite?
True
Let f(m) = -m**3 + 5*m**2 - m + 9491. Is f(0) a prime number?
True
Let c = 122 - 121. Is c/((30/10495)/6) prime?
True
Let l(d) = -7*d**3 + 3*d**2 - d - 2. Let z be l(-3). Let j = 82 + z. Is j a composite number?
True
Is (-88)/(-46) + -2 - 436995/(-207) composite?
False
Suppose -1286 = 25*r - 26*r. Is 2 - r/(-12) - 2/12 a prime number?
True
Let j(h) = 2*h**2 + 16*h - 6. Let d be j(-14). Let y = d - 73. Is y composite?
False
Let g(a) = -3 + 6 - 34*a + 92*a - 1. Let x(i) = -i**2 - 11*i + 14. Let b be x(-12). Is g(b) composite?
True
Suppose -3*u - 2427 = 5*t, -t + 2468 = -3*u + 41. Suppose 4*c + 680 = -2*f, -3*f - 380 = -c + 647. Let j = f - u. Is j composite?
False
Suppose 4*b + 3 + 1 = 0. Let r be 3 + (-2 - b) + -2. Suppose 2*f + 5*d = 576, r = -3*d - 0*d + 12. Is f a prime number?
False
Let k(t) = 4*t**3 + t**3 - 10*t - 2*t**3 + 4*t**2 - 4 + 3*t. Let c be k(-6). Let j = 679 + c. Is j composite?
True
Let q(v) = 84*v + 47. Let s(a) = 83*a + 48. Let p(u) = 3*q(u) - 2*s(u). Is p(11) prime?
True
Let p be (1 - -3)*(-2)/(-4). Suppose 711 = 4*d + l, p*d - 5*l - 383 = -0*l. Is d prime?
True
Suppose -3*m - 4*d - 13 = -87, -8 = -4*d. Suppose 23*c - 2333 = m*c. Is c a prime number?
True
Let l be (2 + 4 + -6)/3 + 4628. Suppose -2*x + 158 + l = 0. Is x a prime number?
True
Is 30/(-4)*60/90 + 9578 prime?
False
Let x(y) = 1498*y**3 - 2*y + 3. Is x(1) a composite number?
False
Suppose 0 = -7*t + 8900 + 53. Is t a composite number?
False
Let c be (-1 - -3)*(-804)/(-24). Suppose p - 12 - c = 0. Is p a prime number?
True
Suppose -2*a = -3*b + 43309, 0 = -5*b + a - 0*a + 72191. Is b prime?
False
Suppose 0 = -3*k - 3*j - 0*j - 48, -80 = 5*k + 4*j. Let u = 19 + k. Suppose s = 2*b - 0*b + 353, 1059 = 3*s - u*b. Is s composite?
False
Let p(a) be the second derivative of -209*a**3/6 - 9*a**2/2 - 13*a. Is p(-2) prime?
True
Suppose 0 = 96*a - 4622167 + 413431. Is a a prime number?
False
Let p(h) be the third derivative of 233*h**5/30 + h**3/6 - 11*h**2. Is p(1) a composite number?
False
Suppose -3176 = -13*c + 9*c. Is c a prime number?
False
Let u(q) = 332*q**2 - 42*q - 171. Is u(-4) a prime number?
True
Let h(k) = -k**3 + 12*k**2 - 12*k + 13. Let z be h(11). Suppose o - 6 = -z. Is -111*-1*(-3 + o) a prime number?
False
Suppose 0*z - 2*z + 2054 = 0. Suppose i + z = 239. Let v = 1231 + i. Is v composite?
False
Let p(m) = -m**2 - 16*m - 1. Let a be p(-16). Let f(u) be the first derivative of -37*u**2/2 + 2. Is f(a) a composite number?
False
Suppose 5*r - 6*r + 4*c + 681 = 0, -5*r + 3390 = -5*c. Is r a composite number?
False
Suppose -40*x = -13*x - 8802. Is x composite?
True
Let n(b) = -b**2 - 8*b + 1. Let l be n(-10). Let t = -15 - l. Is (-1177)/(-9) - t/(-18) a composite number?
False
Let r = -4184 + 8785. Is r composite?
True
Suppose s + 3*c = -11, -c - 3*c = s + 16. Let z(m) = 80*m**2 + m + 7. Let g be z(-3). Suppose -s*t = -3288 + g. Is t a composite number?
False
Suppose 4*m + 2*f - 4*f = 14, 3*f - 11 = -2*m. Suppose 4*d + 16 = 0, 0 = -3*i - d - m*d + 82. Is i prime?
False
Suppose -13*m = -8*m - 5*f - 125230, -100175 = -4*m + f. Is m a prim