 prime number?
True
Suppose -2*j + 16 = 2*j. Let a = 596 - -3301. Suppose j*z = -d + a, 4*d - 4875 = -5*z + 2*d. Is z prime?
False
Let k(q) = -q**3 - 19*q**2 + 22*q + 55. Let r be k(-20). Is (-6 - (-201320)/r) + 2/(-6) composite?
True
Suppose 10*i = -2*i - 48. Let d be ((-60)/(-8)*i)/((-2)/2). Suppose 29*q - d*q = -95. Is q a prime number?
False
Let s(n) = 131*n**3 + n**2 + 6*n + 29. Is s(7) prime?
True
Let g = -311077 + 569084. Is g prime?
False
Is (1438973/2)/(245/(-98)*1/(-5)) composite?
False
Suppose 128*g = 154*g - 6902038. Is g composite?
True
Let q be 1/(-3 - 4693581/(-1564524)). Suppose 12 = 4*m, -5*m = 5*f - 8*m - q. Is f prime?
False
Let l(s) be the third derivative of 6*s**5/5 - 5*s**4/12 + 19*s**3/6 + 7*s**2 + 1. Is l(8) composite?
False
Suppose 16 = 3*o + 5*h - 3*h, -2*o + 4*h = 16. Let m be (-3)/(5 - o) + 31. Suppose 25*w = m*w - 4385. Is w a composite number?
False
Suppose -b + 8 = 3*b, -5*d + 4*b + 31702 = 0. Suppose -7*g + 3*n - d = -10*g, 3*g = 5*n + 6318. Is g a composite number?
False
Suppose -5*b = 20, -5*n - 3*b = -4*b - 12609. Let v = n + -1249. Let o = v - -165. Is o composite?
True
Let i = -1552 - -2690. Let r = i + -807. Let y = r - 210. Is y a prime number?
False
Suppose 25*c + 26318912 = 89*c. Is c prime?
True
Let p(n) = 266*n**3 - 2*n**2 + 4*n + 1. Suppose -3*y = -2*a + 20, 27 = a - 3*y + 11. Suppose -a*h + 18 = 10. Is p(h) composite?
False
Suppose -712 - 1157 = -3*f. Suppose b - 2491 = f. Let o = 5243 - b. Is o a prime number?
True
Suppose 0 = l - 3, 2*u + u = 3*l. Suppose 5*b = -0*a + 2*a + 80, -u*b + 49 = -a. Is 1635/b - (3 - 38/12) a prime number?
False
Suppose -r - 6*r - 4053 = 0. Let g be (-18 + r)/((-2)/(-4)). Let y = -305 - g. Is y composite?
True
Let j be -62*(0 - 108/8). Suppose -j = -4*q + 223. Is q a composite number?
True
Let m(t) = -3 + 755*t - 5 - 1100*t. Let z be m(-4). Suppose 10*x - 15178 = z. Is x prime?
False
Let c(n) = -9*n + 17. Let f be c(9). Let t = -106 - f. Let p = t - -296. Is p prime?
False
Let w(r) = 62*r**2 - 2*r + 387. Is w(41) prime?
True
Suppose 3*j + 11 = -4*a, -4*a - 16 = -5*j + 19. Suppose 530 = 2*x - 4*o, 5*x + j*o = 7*x - 529. Let k = 421 - x. Is k a composite number?
True
Suppose 1097 = 6*z - 559. Suppose -4*a + a + z = 0. Is (158/(-4))/((-2)/a) composite?
True
Let x = -519 + 522. Suppose n + 10*j = 11*j + 76, -246 = -3*n - x*j. Is n composite?
False
Let c = -33757 + 12394. Is (-8)/12*3/6*c composite?
False
Suppose 24594 + 54576 = 2*a + y, 4*a = 2*y + 158356. Is a a prime number?
False
Let x(j) = 24*j**3 - 4*j**2 - j + 11. Let o(m) = -m**3 + m**2 + m - 2. Let d(f) = -4*o(f) - x(f). Let z(a) = -a**2 + 2*a + 1. Let r be z(3). Is d(r) composite?
False
Let x(m) = -38*m**2 + 3. Let y be x(3). Suppose -3 = -14*r + 557. Let o = r - y. Is o prime?
True
Let d(t) = 16*t - 13. Let n be d(5). Let w(z) = n + 2*z - 45*z - 27*z - z. Is w(-8) a prime number?
False
Let l be (21/(-9) - -3)/((-6)/(-27)). Suppose -l*h + 2918 = -7561. Is h composite?
True
Let a(g) = g**3 + 2*g**2 - 49*g + 132817. Is a(0) prime?
True
Suppose y + 2 = 6. Suppose -5*d + 3 = y*c - c, 0 = -5*d - 4*c - 1. Suppose d*l = l + 1222. Is l prime?
False
Is 4/18 + 15*163859/27 a prime number?
True
Suppose 0 = -5*a - 3*l - 2*l, 5*l = -a - 4. Let z = a + 3. Suppose z*p = -5*u + 251, -4*u + p = -5*u + 51. Is u a composite number?
False
Let h(g) = -44367*g - 817. Is h(-4) a composite number?
False
Suppose -1 = l, -3*s - 5*l + l + 61574 = 0. Suppose -s = -476*p + 470*p. Is p prime?
False
Suppose 5*s = -t + 22, -2*s = 5*t + 4 + 1. Is t + 0 + 5586 - 2 a prime number?
True
Let k = -141 + 146. Suppose 14996 + 43854 = -k*a. Is a/(-30) + 8/(-6) composite?
True
Let o(y) = 461*y**2 + 14*y + 6. Let w be o(-5). Let i = -19 - -21. Suppose r - w = -i*r - 2*c, -c + 15273 = 4*r. Is r a composite number?
True
Suppose -160 = 7*f - 111. Let r(b) = 16*b**2 - 20*b - 3. Is r(f) a composite number?
True
Let m be (-29)/(-3) + (-25)/15. Suppose m*d + 48 = 16. Is 0 + d + (-440)/(-4) a prime number?
False
Let d = 500894 + -354936. Suppose 5*k = -4*i + 4*k - d, 4*k = -i - 36482. Is ((-19)/(-6) - 3) + i/(-12) prime?
True
Let y be (-2)/(-6) + (-836)/(-3). Let x = y + -97. Suppose -1643 = -5*p + x. Is p prime?
False
Suppose -646*b = -647*b + 5. Suppose 20324 = b*a - 2211. Is a a composite number?
False
Let p = 38071 + -78714. Is (p/(-2))/1 + 3/2 composite?
False
Let w = 372 - 302. Suppose 59*j = w*j - 902. Is j a composite number?
True
Let z = 144 + -29. Let a = -125 + z. Is (-10405)/a + (27/6)/3 a composite number?
True
Let d = 219 + -241. Is (-13)/(-143) - 4640/d prime?
True
Let h(u) be the first derivative of 7/2*u**2 - 35*u + 2*u**3 + 1 + 1/4*u**4. Is h(14) composite?
True
Suppose -2*k = -3*o + 121835, -202*o + 201*o - 2*k + 40601 = 0. Is o a prime number?
True
Let v = 83 + -74. Let w be (v - 4) + (-2)/1. Suppose w*i + h = 2610, 6*h = 9*h + 9. Is i a prime number?
False
Let z(l) = -2*l**3 + 34*l**2 + 73*l + 16. Is z(-42) a composite number?
True
Suppose 0 = -5*n - 5*c + 4382665, 0 = n - 5*n + 4*c + 3506084. Is n composite?
True
Let d = 199 + -205. Let v be 0 - (4 + -2)*-1. Is v/2*d/(-18)*3777 a composite number?
False
Let w be 4/16 + 0 + 2/(-8). Suppose w = 4*z - 12*z + 65176. Is z composite?
False
Suppose -5*t + 22 = 3*j, 2*t = -3 - 5. Is 3*6585/6 + 7/j a prime number?
False
Let m(p) = -4604*p - 429. Is m(-17) a composite number?
False
Let t(d) = -81*d - 23. Let m(q) = q**2 - 2*q - 7. Let g = 20 - 17. Let u be m(g). Is t(u) composite?
True
Suppose -11*a + 1162 = -9*a. Let p = a + 330. Is p composite?
False
Let s(u) = -u**3 - 7*u**2 + 6*u - 11. Let q be s(-8). Suppose q*f - 4 - 71 = 0. Let r(d) = 5*d + 4. Is r(f) a prime number?
True
Let w(j) = -2*j**3 - 11*j**2 + 3*j - 37. Let u(k) = -k**3 + 37*k**2 - 13. Let v be u(37). Is w(v) prime?
True
Suppose 0 = 4*k - 17*z + 12*z - 152362, 2*z = 4*k - 152344. Is k composite?
False
Let j(z) = -z**3 + z**2 + 4*z - 3. Let h be j(2). Let b = 3 + -5. Is 629 + (h + b - -3) prime?
True
Let d = 13789 + -8785. Suppose 4*v + d = 4*h, 3*h - 8*h + 6271 = -v. Is h composite?
True
Suppose 20 = -5*q, -2*j - 3 = 2*q - 1. Suppose -5*c = -4*v - 43, 5*c + 2 = -j. Is (-2)/(-6) - 12968/v a prime number?
False
Suppose 0 = 68*o - 73*o + 3*r + 533269, 5*r - 106609 = -o. Is o composite?
False
Let i be (0 + 3)/3*(2 + -5). Is (1 + -128)/(i - (-224)/77) a prime number?
False
Suppose 0 = 5*u - 3*y - 3712, 1645 = 5*u + 2*y - 2072. Let w = 372 + u. Is w a composite number?
True
Suppose 0 = -2*v - 3*k + 22, -2*k = v - 0*k - 13. Suppose v*y = 4*i - 6533, -4*y - 712 = -5*i + 7461. Is i a prime number?
True
Suppose 35653 = -18*y - 9761. Is (y/12)/((-4)/16) a prime number?
False
Let u(n) = -n**2 + 3*n + 2. Let p(z) = 13*z**2 - 12*z - 5. Let r(k) = p(k) + 3*u(k). Let l = -3 + -3. Is r(l) prime?
True
Suppose 2*c - 45 - 47 = 0. Is ((-3194)/4)/(-1) + c/92 composite?
True
Let q = 26 + -21. Suppose q*o - 53 = -4*p, -p + 36 = 2*p + 3*o. Suppose -2*x - 233 = -p*x - 4*j, 0 = -x + j + 52. Is x prime?
False
Suppose 0 = -1053*c + 1060*c - 1403983. Is c composite?
False
Let h(y) = -4*y**2 - 652*y - 31. Is h(-28) a prime number?
False
Let q(w) = -2*w**3 - 34*w**2 + 35*w - 36. Let l be q(-18). Let j(f) = 10*f**2 + 37*f - 43. Is j(l) a prime number?
True
Let u(s) = 2*s**3 + 6*s**2 - 3*s - 3. Let f(y) = -y + 23. Let x be f(15). Is u(x) a composite number?
False
Let r(s) = 4*s + 15*s + 12 + 7*s - 3*s**2 + 1. Let p be r(9). Suppose -3*j = 2*y - 1177, 2*j + p*y - 622 = 176. Is j composite?
False
Let l(n) = -8*n + 44. Let v be l(6). Is (148/111)/(v/(-3411)) a prime number?
False
Let c = -12 + 17. Suppose -2767 = -3*t + 4*n, 9*t - 11*t + 1844 = -2*n. Suppose 8*d = c*d + t. Is d a prime number?
True
Suppose 0 = -3*d + 38 + 25. Let x be (-6)/(-14) + 7236/d. Suppose 0 = 5*g, -2*z + 871 = -3*g + x. Is z a prime number?
True
Let p(z) = -z**3 + 22*z**2 - 6*z + 8. Suppose 6*u + 12*u = -2520. Let o be (-3)/9 - u/15. Is p(o) a prime number?
False
Let x(c) be the third derivative of c**7/180 + c**6/180 - 7*c**5/120 - c**4/6 - 6*c**2. Let a(n) be the second derivative of x(n). Is a(3) prime?
True
Let a(u) be the third derivative of 191*u**5/30 - 9*u**4/8 - 4*u**3/3 + 129*u**2. Is a(-7) composite?
False
Let t(m) = 27*m**2 - 8 + 4*m + 13 - 10*m**2. Let h = 55 + -51. Is t(h) composi