3*r + 7205, s*r = d + 1738 + 7854. Is r a prime number?
True
Suppose -3*q = -2*t + 15, -1 = 2*t - 5*q - 26. Suppose t = -7*u + 2*u + 2035. Is u composite?
True
Let f(b) = -93*b + 25. Let d(w) = -92*w + 25. Let x(a) = 6*d(a) - 5*f(a). Is x(-6) a prime number?
True
Let x(p) be the third derivative of -p**6/120 + p**5/12 + p**4/6 + p**3/3 + 4*p**2. Let c be x(-3). Suppose s - c = -s. Is s a composite number?
False
Suppose -2*t = -5*v - 5*t + 19, 5*t = 3*v + 9. Suppose o = -0*o + v. Is ((-2)/(-2))/(o/2078) a composite number?
False
Suppose -19*x = -25*x + 141978. Is x a prime number?
True
Let y(u) = -u**2 - 18*u - 7. Let r be y(-15). Suppose -1468 = 36*x - r*x. Is x prime?
False
Suppose 0*d - 24 = 3*d. Let l be (-2)/(-1 + 3) + 76. Let x = d + l. Is x a prime number?
True
Suppose 3*c - 2*w = c + 136, -202 = -3*c + w. Let o = 154 - c. Is o a composite number?
True
Is (-4)/10 + 181710/150 prime?
False
Let n = 12 - 27. Is 6/n + 1634/10 composite?
False
Let l(m) = -m**3 + 20*m**2 - 5*m - 19. Let x be l(16). Suppose x = 3*f + 2*f. Is f prime?
False
Suppose 6*h - 46894 = -8872. Is h a prime number?
True
Suppose -6 = 7*r + 1. Is -1 + (263 - ((r - 3) + 1)) composite?
True
Let m = 20 - 51. Let g = 27 - m. Let l = 123 - g. Is l prime?
False
Suppose -366 = 5*a + 4*u, -3*a - u = 62 + 152. Let d be ((-6)/10)/(14/a). Is (-3 - -477 - d)/3 a composite number?
False
Is (2231/4)/(-2 - 63/(-28)) a composite number?
True
Let f(w) = 6 + 14 - 22 + 163*w. Let p be ((-1)/(-1))/((-1)/(-3)). Is f(p) a composite number?
False
Suppose 19*i - 121 = 12. Suppose 0 = -6*w + i*w - 2183. Is w composite?
True
Let f(g) = 1229*g**3 - g**2 + 3*g - 2. Let v be f(1). Suppose -2*a + 0*a = -5*q + 6137, q = 2*a + v. Is q a prime number?
False
Suppose 0*v - 4*v = -h + 33, -5*v - 64 = -3*h. Let s = h - 8. Suppose s*j - 374 = 201. Is j a prime number?
False
Let z(d) = 5*d**2 + 3*d + 3. Suppose -4*b = p + 2, 0*p - 4*p = -5*b + 29. Let f be z(p). Is 30/f + (-1065)/(-11) a composite number?
False
Let o = -5054 - -7161. Suppose 5*i + 2538 = -o. Let l = -444 - i. Is l prime?
False
Suppose -2*m = o + 247, 5*o + 617 = -5*m + 2*o. Let h = 215 + m. Is h prime?
False
Let o(v) = -85*v + 4. Let h be o(-7). Suppose 0*j = -5*j + 560. Let l = h - j. Is l prime?
True
Let i(j) = -j**2 - 59*j + 267. Is i(-50) a composite number?
True
Suppose 0 = 2*s - p - 27191, 2*s - 27185 = -18*p + 13*p. Is s a prime number?
False
Let f = -17288 + 35109. Is f a composite number?
True
Suppose 0 = 15*t - 28653 - 359892. Is t composite?
False
Suppose 0 = 5*l - 8*l. Suppose l = 8*c - 3*c - 565. Is c a prime number?
True
Let k(i) = -4*i**3 - i - 7. Is k(-4) a prime number?
False
Let i(n) = 113*n - 9 - 11 + 21 - 304*n. Is i(-6) a composite number?
True
Let h = 935 - 2184. Let o = h - -2960. Is o prime?
False
Is (-15)/(-10)*4 - (-20582)/2 prime?
False
Suppose 5*g + 4*m - 2447 = 0, -4*g + m + 336 + 1609 = 0. Suppose -4*x + 361 = -g. Suppose 0 = 2*t - 550 - x. Is t prime?
False
Let m(o) = 43*o**2 + 18*o + 25. Is m(-4) composite?
False
Suppose 3*l + 4*q = 1943, -3*l + 0*q = -4*q - 1951. Is l a prime number?
False
Let h(z) = 10*z**3 + 2*z**2 - 1. Let b be h(1). Let y = -8 + b. Suppose t - 341 = -2*t + 2*s, -y*s = -t + 123. Is t a prime number?
False
Suppose -33 + 9 = -4*v. Suppose -d = -4*d - v. Is (-1 - -4)/(d/(-14)) prime?
False
Let j be 2/3*(-18 - 0). Let d be (3/j)/(2/(-16)). Suppose -2*c + 520 = d*y, -5*y - 1273 = -10*y + 4*c. Is y composite?
False
Let u(o) = -o**2 - o. Let i be u(0). Suppose -5*b - 297 + 887 = i. Is (9/6)/(1/b) composite?
True
Suppose 0 = n + 7 - 36. Suppose -105 = 26*w - n*w. Is w composite?
True
Suppose -948 + 3582 = 6*a. Is a composite?
False
Let l(a) = -a + 1. Let v(n) = 6*n**2 - 3*n - 8. Let w = -11 + 12. Let z(f) = w*v(f) + 5*l(f). Is z(7) a composite number?
True
Let l(n) = -n - 4. Let a = 36 + -26. Let h be l(a). Is ((-2)/(-4))/((-1)/h) a composite number?
False
Let t = 18477 + -9480. Is t a composite number?
True
Suppose 0 = 5*y + 4*v + 8886, 3*y = v - 1199 - 4136. Let r = -1104 - y. Is r a prime number?
False
Let s = 1 + 4. Suppose t = 5*g + 2*t - 1179, 0 = -s*g - 3*t + 1187. Is g prime?
False
Let n(u) = -u**2 - 5*u - 4. Let s be n(-3). Suppose -191 = -s*b - 37. Let j = -39 + b. Is j composite?
True
Let t(a) = 421*a**2 - 1. Let j be t(-1). Suppose k + 98 + 135 = 0. Let x = j + k. Is x a composite number?
True
Suppose 108296 = 18*h - 10*h. Is h prime?
True
Let j = -81 - -388. Is j prime?
True
Let f = 17906 + -9049. Is f prime?
False
Suppose -3*d = 43 + 11. Is (-1255)/(-2)*d/(-15) a prime number?
False
Suppose 2*q - 4*q + 878 = 0. Suppose -3*v + 32 = -q. Is v prime?
True
Suppose 2*n - 363 = -73. Suppose 2*l - 109 = n. Is l prime?
True
Suppose 4*p - 37620 = 4*k, 2*k - 4 = 4. Is p a composite number?
True
Let x(n) = -26977*n - 74. Is x(-1) prime?
True
Let t = 7 + -1. Let w be (t/(-3) - 2) + 777. Suppose 951 = 4*m - w. Is m composite?
False
Suppose -2*r + 37239 = -13663. Is r a composite number?
True
Suppose -172519 = -21*r + 17090. Is r a prime number?
True
Let y = 10727 - -5894. Is y a prime number?
False
Is (176725/(-30))/(-5)*6 composite?
False
Let t(w) = -2*w + 11. Let q be t(4). Let u(l) = l**2 - 3*l - 4. Let p be u(4). Is 183 - (p - -3 - q) prime?
False
Suppose 23*f + 10425 - 128944 = 0. Is f a prime number?
True
Suppose 7*u + 26 = 61. Suppose 4*g = -g - 2*y + 3929, u*y + 802 = g. Is g a prime number?
True
Suppose 5*o + b = 39504, 21*o - 24*o + 23704 = -b. Is o a prime number?
True
Suppose 6*n - 26344 = -718. Is n composite?
False
Suppose -2*x + 180 = -0*w + 4*w, -3*x = -4*w - 230. Suppose -2*h - 160 = -b, b = -h + 2*b - x. Is 70/15*h/(-4) composite?
True
Let c = 20288 + -14347. Is c a prime number?
False
Let f(w) = -6*w**2 - 7*w - 19. Let u(m) = -3*m**2 - 3*m - 9. Let b(y) = -4*f(y) + 7*u(y). Suppose 2*p - 1 + 5 = 2*j, 2*j - 19 = -p. Is b(j) a composite number?
True
Let t(i) = -4*i**3 - 4*i**2 + 10*i + 19. Let j(v) = -v**2 + 7*v + 24. Let a be j(10). Is t(a) a composite number?
True
Let q(o) = 3*o**2 + 17*o - 5. Suppose 6*p + 59 + 37 = 0. Is q(p) composite?
False
Let l = 17478 + -3371. Is l a prime number?
True
Let a(y) = 2*y**3 - 5*y**2 - 4*y. Let v be a(4). Suppose -35*i = -v*i - 669. Suppose 2*d + i = 3*d. Is d prime?
True
Suppose -2*b = 4*r - 65330, -4*b - 7 + 3 = 0. Is r composite?
False
Suppose -3*x = 3*x. Let f be x + 0*3/(-12). Suppose r - 3*b - 112 = f, r - 6*r + 490 = -b. Is r composite?
False
Suppose -7*y - 2189 = -18*y. Suppose -4*z = -2605 - y. Is z prime?
True
Let k = 32 + -22. Suppose 13*d - k*d - 3297 = 0. Is d a composite number?
True
Suppose -10*o = -6410 - 27180. Is o composite?
False
Suppose 15 = 2*l - 2*r - 1, 4*r = -5*l + 58. Suppose 0*b - b = 3*y - 35, y = 4*b - l. Suppose -y - 101 = -3*x. Is x a composite number?
False
Let h = 0 - -10. Is (1059/(-15))/(4/h)*-2 a prime number?
True
Let z(p) = -3 + 3 - 4 + 3. Let j(k) = 25*k. Let x(f) = -j(f) - 6*z(f). Is x(-5) a composite number?
False
Let z(m) = m**2 - 16*m + 41. Let a = -28 + 52. Is z(a) composite?
False
Suppose -39 + 64 = 5*l. Let k(n) = n**3 + n**2 - n + 3. Let g be k(0). Suppose -l*i - g*x = -934, -2*i + 217 = -4*x - 141. Is i a prime number?
False
Suppose -126732 - 14185 = -41*r. Is r prime?
False
Suppose g + 8 - 4 = 0. Let k be 2/8 + g/16. Suppose -2*a + 456 = a + 3*y, k = 5*y - 15. Is a a composite number?
False
Is ((-219690)/12)/(33/(-22)) prime?
False
Let h be -1*(-4 - -4)/(-4). Let c = 3 + -3. Suppose -5*r + 5*z + 810 = h, c = -0*z - 4*z - 12. Is r a prime number?
False
Let j = -81 + -73. Let g = -89 - j. Is g a prime number?
False
Suppose -5*u + 4*p = -18, -5*u = 2*p + 1 - 37. Suppose -u*f - 3831 = -9*f. Is f prime?
True
Let c(l) = 12*l**3 + 2*l**2 - 2*l + 1. Let x be 2*1 - (8 + -6). Suppose -f = -x - 1. Is c(f) composite?
False
Let s be 3/(-36)*-4*18. Let f(w) = -w + 8. Let q be f(s). Is (1 - q)/((-9)/639) prime?
True
Suppose -9 = -3*y, -57*y + 564517 = 4*f - 54*y. Is f a prime number?
False
Suppose -9*t - 8*t + 135677 = 0. Is t a composite number?
True
Suppose 7*d - 792 = 3*d. Suppose 3*j + c = 2*j + 228, j = 5*c + d. Is j a composite number?
False
Let y(k) = k**3 - 16*k**2 - 10*k - 1. Is y(20) a prime number?
True
Let m be (0 - 6)*(-6)/12. Suppose m*y - 3985 = -5*v, y - 2391 = -v - 2*v. Is v a prime number?
T