a**3 + 68*a. Let x(m) = -m**3 - m**2 + m. Let u be x(-2). Is d(u) a prime number?
False
Let x = 37 + -49. Let l be x/8*2/(-3) + 0. Is 4/5 - l - 10740/(-75) composite?
True
Let h = 39798 - -168547. Is h prime?
False
Let z be (-32)/96 + 28/(-6) + 14. Suppose -287 = 8*i - z*i. Is i prime?
False
Suppose -t = n - 38 + 11, 0 = 3*t + 15. Let c be ((-3)/(-4))/(8/n). Suppose 0 = c*o - i - 852 - 2046, -2*o - i + 1937 = 0. Is o a prime number?
True
Let w = 7529 - -254. Is w composite?
True
Is (-1*(-9 - (-156)/18))/((-2)/(-4278354)) a prime number?
True
Let h = -39 - -35. Let u be ((-6)/h)/(5*6/60). Suppose 9257 = u*v + 1772. Is v a composite number?
True
Suppose -8 = -9*m + 7*m, 2*t - 108 = -4*m. Let r = t + -40. Suppose -3351 = r*n - 9*n. Is n a prime number?
True
Suppose 6*d - 30 = 3*d. Let t be ((-3324)/2)/(d/10). Is t/(-2) - (16 + -14) prime?
True
Suppose 3*g + g - 5*v = 223, -2*v = -2*g + 114. Let i = -41 + g. Suppose -f + i = -128. Is f a prime number?
True
Let l be (-290)/((-2)/(-4) + 0). Suppose -3*y + 7*y = 16, 0 = -3*n + y + 3173. Let z = l + n. Is z a composite number?
False
Suppose 339 = -5*h - 3*v, -h - 2*v - 61 = 2*v. Let a = -70 - h. Is (7/5)/a*-485 a composite number?
True
Let n(d) = 5*d**2 + 20*d + 26. Let k be 24/(-15)*5*3. Let m = k + 45. Is n(m) prime?
False
Let n(o) = -2*o**2 + 3*o + 5. Let i be n(0). Suppose h - 26 = 4*h + 2*p, -2*h + i*p - 11 = 0. Is 44/(4/h*-4) a prime number?
False
Let k(c) = 46695*c**2 - 118*c - 66. Is k(-5) composite?
False
Let p(w) = -w**3 - 34*w - 6. Let r be p(-17). Is r/3*(8 - 5) composite?
True
Suppose k + 20 = 5*i, 5*k - 35 = -3*i + k. Suppose -c = 2*c - 2*r - 28587, -c - i*r = -9512. Is c a composite number?
True
Let d(k) = k**3 - 4*k**2. Let p = 52 + -48. Let r be d(p). Suppose r = -c - w + 72, 5*c - 203 = -w + 165. Is c a composite number?
True
Let c(r) = 19*r - 51. Let m be c(7). Let p = m + -501. Let o = p + 720. Is o prime?
False
Suppose 11*l + 10085 = 16*l. Suppose 7*k = l + 2512. Is k prime?
True
Suppose -361885 = -6*q + 3269. Is q a composite number?
False
Let h be -2 - 2 - (-64 + 2)*2. Suppose 110*z - h*z = -101670. Is z composite?
True
Suppose -3*n - 5*a + 566 = 0, -3*a = -3 + 9. Let j = 2925 + n. Is j a composite number?
True
Let k(s) = 2424*s + 11267. Is k(116) composite?
True
Let y(a) = 17*a**3 - a**2 - 96*a - 46. Let r(h) = -27*h**3 + 2*h**2 + 144*h + 69. Let q(g) = -5*r(g) - 8*y(g). Is q(-18) prime?
False
Let o be 2/(-7) - (-138801)/91. Suppose 39*g - 34*g - o = 0. Suppose -1910 = -3*s - g. Is s composite?
True
Let r(y) = y**3 - 7*y**2 + 4*y + 19. Let p(s) = s**3 - 12*s**2 + 8*s + 39. Let u(c) = -3*p(c) + 7*r(c). Is u(7) a prime number?
False
Let a(f) = f**3 - 7*f**2 + 2*f - 24. Let g be a(7). Let p(q) = 0*q**2 + 19*q + 5*q**2 - 9 - 3. Is p(g) composite?
True
Is ((-1109508)/(-78))/(32/1040) a composite number?
True
Suppose 4*n = -3*y + 3 + 24, -3*y = -2*n + 27. Suppose -32030 = -n*t + 2107. Is t composite?
False
Let g(p) = p**3 - 10*p**2 - 16*p - 16. Let v = -130 - -144. Let q be g(v). Suppose -4*t + 684 = -q. Is t a prime number?
True
Let z(h) = -179*h + 52. Let a be z(8). Let y = a - -2279. Is y prime?
False
Let u = 833334 - -6719. Is u a composite number?
False
Let x(b) = -b**3 - 11*b**2 - 2*b - 15. Suppose -9*f - 77 = -2*f. Let h be x(f). Let a(z) = 14*z + 29. Is a(h) a prime number?
True
Let v be 2/2 + ((-2)/(-1) - 8). Let q(a) = a**2 + 7*a + 10. Let x be q(v). Suppose 2*i - 2*h - 206 = 676, -2*i + 5*h + 870 = x. Is i prime?
False
Let w(u) = 3*u**3 - u**2 + 1. Let m be w(1). Suppose -4*i = i, z + m*i = 0. Suppose 3*y = -0*y - 5*t + 67, z = -y + 5*t + 9. Is y a composite number?
False
Let s(d) = -355*d - 31. Suppose 3*v + 26 = 4*y - 12, 2*v + 3*y = 3. Is s(v) composite?
False
Let a be (-4)/14 + (-104)/28 + 4. Let t(b) = -b**3 - 2*b**2 - 3*b + 1721. Is t(a) composite?
False
Let v = 131105 + -70236. Is v a prime number?
True
Let m = 415161 + -261328. Is m a composite number?
True
Is 827139/33 + -7 + 1 - 14/(-77) prime?
False
Let x be (-6 - (-644)/8)*10. Suppose -l = -4*o + x, -2*l + l + 550 = 3*o. Is o a prime number?
False
Suppose 0 = -26*a + 339859 - 50595 + 283074. Is a composite?
False
Let d = -106 + 313. Is 46/d + (-16502)/(-18) composite?
True
Let o = -594667 + 1183160. Is o composite?
False
Suppose -12 = 2*k + q - 4*q, -20 = k - 5*q. Let v be (-2 - (-1)/1)*-3. Suppose 0 = -2*z - v*l + 237, k = 3*z + z + 2*l - 454. Is z a composite number?
True
Is -1*82334/28*-58 a prime number?
False
Suppose 5*k - 3977175 = 23*l - 18*l, -4*k = -2*l - 3181724. Is k a composite number?
False
Let o(c) = c**3 - 46*c**2 + 420*c - 43. Let q be o(35). Suppose 0 = -2*s - s + 5907. Let h = s - q. Is h prime?
True
Is -153553*(-12 + 7/(49/77)) composite?
True
Let s(r) = 77503*r - 236. Is s(3) composite?
True
Let h(v) = 30*v**2 - 27*v - 4. Is h(-15) a prime number?
True
Let m = 4838416 + -487715. Is m a prime number?
True
Is 939773 + -3 - (24 - 3) a composite number?
False
Let q(x) = 105*x**2 + 45*x + 423. Is q(-11) composite?
True
Let l(p) = 3*p**3 - 32*p**2 - 21*p + 58. Let x(i) = -i**3 + 17*i**2 + 11*i - 29. Let d(w) = -2*l(w) - 5*x(w). Is d(-25) a composite number?
True
Suppose 221*r + 45383 = 234*r. Is r composite?
False
Let y = -379 + 551. Let g = -121 + y. Is ((-974)/(-5))/(-3 - g/(-15)) a composite number?
False
Let p(g) = 392*g + 695*g + 244 - 1300*g. Is p(-29) a prime number?
True
Suppose -9*g + 49933 + 7406 = 0. Let t = -3408 + g. Is t composite?
False
Let g(z) be the first derivative of -50*z**3/3 + 19*z**2/2 + 20*z - 12. Let m(s) be the first derivative of g(s). Is m(-4) prime?
True
Let l(y) = -110 - 26*y**2 + 202*y**2 - 12*y + 67. Is l(-7) a prime number?
False
Suppose -4*k + 132 = 116. Suppose -2*s + k = -10. Suppose 29 = s*a - 13. Is a composite?
True
Let u be ((-57)/(-9))/((-2)/312). Let b = 1153 + -1438. Let r = b - u. Is r a composite number?
True
Let k be 4004 - ((6 - 12) + -1). Let f = -2252 + k. Is f a composite number?
False
Let t = 69259 + -25746. Is t a composite number?
True
Suppose 549*v - 677906386 - 172980479 = 0. Is v a composite number?
True
Let t = -196884 + 351161. Is t a prime number?
True
Let t be (-527)/51*(-1 - 41). Suppose -2*q = -3*q. Suppose k = -x + t, 3*k - 2 - 7 = q. Is x a prime number?
True
Let c(d) = 107*d + 16 - 7 + 22. Suppose -j = 4*z + 12, 4*j + 54*z = 53*z + 27. Is c(j) composite?
False
Let r be -16444*10/12*330/(-100). Suppose -49*p + r = -38*p. Is p a prime number?
True
Let s = 30748 - 16605. Is s a prime number?
True
Suppose 8108773 = 123*b - 97*b - 1675053. Is b a prime number?
False
Suppose 5*n = 4*k + 21084, -2*n + 18799 = -5*k - 7573. Let w = -445 - k. Is w composite?
False
Suppose 3*h + 5*f - 37302 = 25842, -5*h + f + 105212 = 0. Let q = h + -15030. Is q a prime number?
False
Let k = 14977 + 21312. Is k a prime number?
False
Suppose -102 = 4*f - 3*o - 525, 4*f = 2*o + 422. Suppose -15055 = 100*h - f*h. Is h a composite number?
False
Let d(c) = 56680*c - 129. Is d(2) a composite number?
True
Let u(r) = 25*r**3 + 13*r**2 + 14*r - 167. Is u(8) a prime number?
True
Let o(r) = 1647*r**3 + 14*r - 25. Is o(4) a prime number?
False
Let f be (1 - 4802/(-4))*910/(-91). Is 11/(-22) + f/(-2) a prime number?
True
Suppose -477*b + 521*b - 453156 = 0. Is b a prime number?
False
Suppose -3138 = -z + 2137. Suppose 4*f = -v + z, 2 = -v - v. Is f prime?
True
Let n(y) = -y**3 + 3*y**2 - 5*y + 7. Let w be n(3). Let c(s) = s**3 + 10*s**2 + 7*s - 3. Let p be c(w). Let x = -32 + p. Is x prime?
True
Let n = -63 - -70. Suppose 0 = -4*f - 4, -4*h + n*h - 2*f - 53531 = 0. Is h prime?
False
Let k be (7/(7/(-5)))/(-1). Suppose 3*j + 10 + 0 = k*a, a = 5. Suppose -12137 = -j*t + 48. Is t a composite number?
False
Suppose -9*l + 7 = -11. Is l/22 + (-211512)/(-77) a composite number?
True
Suppose 0*p = -3*f - 4*p + 30, 2*f - 3*p = 3. Suppose -f*o + 3028 = -10178. Is o prime?
False
Let a = -106326 + 202585. Is a prime?
True
Suppose -3*p = -y + 3*y + 112, 5*p - 128 = 2*y. Let i = -51 - y. Suppose i*m - 10402 = 6390. Is m a composite number?
False
Let v = 79223 - 55249. Is v a composite number?
True
Suppose 9*s + 25301 = -49939. Let z = s - -12805. Suppose -64*h = -59*h - z. Is h a composite number?
True
Let j(d) = d**3 + 139*d**2 + 441*d + 156. Is j(-135) composite?
True
Suppose -h