e
Let h(d) = 3*d - 18. Let j be h(6). Suppose j = 4*a - 638 - 1654. Is a a composite number?
True
Let l be (7 - 11) + (83 - 1). Suppose -l = -w + 9. Is w prime?
False
Let s(v) = 2*v**2 - 16*v + 16. Let t be s(7). Suppose -5*d + 2*d = 5*p - 394, -t*d + 261 = 3*p. Is d prime?
False
Suppose 3068 - 1232 = 2*n - 2*o, -o + 920 = n. Is n*(-10)/(-4)*6/15 a prime number?
True
Suppose -3*q = 3*w + 405, 2*q - w + 225 + 45 = 0. Let v = 326 + q. Is v a prime number?
True
Let p(o) be the second derivative of 19*o**5/40 - 5*o**4/24 + 7*o**3/6 - 11*o. Let w(f) be the second derivative of p(f). Is w(8) composite?
True
Let t = -316 - -2921. Is t composite?
True
Let h = 27 + -20. Suppose 0 = -0*p + p - h. Suppose -9*m + p*m + 158 = 0. Is m prime?
True
Let v be 1*0*(-1)/(-6). Suppose 7*a - 9*a + 404 = 3*o, v = 5*a + o - 997. Is a a composite number?
False
Let h = 0 - -3. Suppose 63*k - 38 = 62*k. Suppose 2*s = h*s - k. Is s composite?
True
Let q = -17793 + 10275. Let t = -2355 - q. Is t composite?
True
Suppose -h + 1712 = b, -4*h + 7*h = b - 1700. Is b prime?
True
Let f = -457 - -820. Let j = f - -753. Suppose -s + 2*s = -5*g + j, -g - 4*s = -227. Is g a composite number?
False
Let u be (-6)/(-2) + -5 + 7. Suppose -u*j - 347 = -3*p - 3*j, 0 = p - 4*j - 129. Is p a prime number?
True
Let h(q) be the first derivative of 6*q**3 - 3*q**2 - 5*q - 29. Is h(-4) prime?
True
Let q = -17 + 19. Suppose -12 = -4*v + v + 5*h, -h - 8 = -q*v. Suppose -5*o + 1048 = r, -4*o + 698 = -v*r - 126. Is o composite?
True
Let n(x) = -x**2 + 11*x - 10. Let l be n(10). Let g be 67/3*(-9)/(-3). Suppose g = m - l*m. Is m a composite number?
False
Let b(v) be the second derivative of 61*v**4/12 - v**3/2 + 9*v**2/2 + 2*v. Is b(-4) composite?
False
Suppose -24 = 5*h - 9*h. Is 2992/h - (-1)/3 composite?
False
Let l(d) = 2310*d + 265. Is l(15) a prime number?
False
Let d(n) = 28*n**2 - 207*n - 69. Is d(28) a prime number?
True
Suppose -7*q = -2*q - 6065. Let p = 1850 - q. Suppose 4*w - p + 165 = 0. Is w composite?
True
Suppose -4*b = -3 - 5. Suppose 26 = -3*h + 5*i, -2*h + 6*h + b*i = 0. Is (-177)/6*h*1 a prime number?
True
Let y(f) = 80*f**3 - f**2 + 15*f - 13. Is y(5) composite?
False
Let u = 25859 - 6198. Is u a prime number?
True
Let j = 301 - -473. Suppose -3*b - 3*b = -j. Is b composite?
True
Let m(i) be the second derivative of -i**3/3 + 237*i**2/2 + i. Suppose 2*r - 4*g - 11 = -15, 3*r - 3*g + 3 = 0. Is m(r) a prime number?
False
Let m(x) = 150*x**2 - 5*x - 39. Is m(-8) a composite number?
False
Let g = 31 + -26. Suppose 733 = -g*f + 3498. Is f a composite number?
True
Is (-4)/2*(-2302)/4 composite?
False
Is 2448910/475*(-5)/(-2) a composite number?
False
Let x(c) be the third derivative of 0 - 12*c**2 + 9/4*c**4 + 0*c + 1/6*c**3. Is x(4) prime?
False
Let i(z) = 648*z**3 + 7*z**2 - 6*z + 10. Is i(3) a composite number?
False
Let a(x) = 1096*x**2 + 25*x + 4. Is a(-3) prime?
False
Let x be (-4 - (-13)/2)*6. Suppose 22*i - 4634 = x*i. Is i prime?
False
Let o(w) = 57*w**3 - 3*w**2 - 4*w + 11. Suppose 4*l + 3*g - 2*g - 7 = 0, -l = 3*g + 12. Is o(l) composite?
False
Suppose -4*f + 8*f - 42662 = 2*a, -2*a = 2*f - 21334. Is f a composite number?
True
Let n be 7/3 - 2 - (-16028)/3. Suppose -2*m + 10 = 0, -3*m = 4*b + 932 - n. Is b a composite number?
True
Let b be -5*10/(-125) + 135316/10. Suppose 20*c - b = 165248. Is c prime?
False
Suppose 0*h = -9*h + 63. Suppose -h*u + 2*u + 5*v = -275, -5*u = -2*v - 281. Is u a composite number?
True
Let p(d) = -6*d**3 + 2*d**2 + 2*d - 2. Let s(u) = 12*u**3 - 4*u**2 - 5*u + 3. Let o(n) = 5*p(n) + 3*s(n). Is o(4) composite?
False
Let v(y) = -y**3 - 18*y**2 + 3*y - 25. Let b(d) = -d**3 - 18*d**2 + 3*d - 25. Let u(a) = -6*b(a) + 5*v(a). Is u(-18) composite?
False
Let j(k) = k - 12. Let x be j(11). Is x/(-4) - (-4578)/24 composite?
False
Suppose 5*f = -4*f - 16155. Let k = 3864 + f. Is k a composite number?
False
Let u(r) = 12 + 20*r**2 + 28*r + 19 - 5 - r**3 + 8*r**2. Is u(27) a composite number?
False
Let v(d) = -d**3 - 10*d**2 + 3*d + 33. Let p be v(-10). Suppose -3*f - p*a - 87 = -1110, f - 2*a - 329 = 0. Is f composite?
False
Suppose 0 = 2*y - 0*y - 6. Suppose -y*u = 87 - 2124. Is u prime?
False
Let m(i) = 6*i**2 + 55*i + 12. Is m(9) a composite number?
True
Let j be (15/(-35))/((-2)/14). Suppose -j*y + 518 = -1171. Is y a prime number?
True
Let d(j) = -1 + 3 + 38*j - 1 + 0. Let l = 1 + 1. Is d(l) prime?
False
Let x = 13825 - 602. Is x a composite number?
True
Let z = -118 - -122. Suppose -z*q + 2*g - 55 + 499 = 0, 3*q = -3*g + 333. Is q a prime number?
False
Is (-4)/(-42) + (-87065990)/(-2310) composite?
False
Suppose 0*z + 3*z - 15 = 0. Suppose 35455 + 26728 = z*s + j, -3*j - 6 = 0. Is s prime?
True
Let y be (-4020)/50*(-10)/3. Suppose x - 4*q - 294 = -q, 0 = q + 3. Let w = x + y. Is w a prime number?
False
Suppose -1 = x, -3*y + 5 + 2 = 2*x. Suppose 0*z = y*z - 876. Is -1 - (4/(-2) - z) a composite number?
False
Let g = -27 + 32. Suppose p - 16 = -3*p, -g*y = -2*p - 717. Is y composite?
True
Suppose 18 = 5*f - 2. Suppose -2*i - 2*p + 96 = -4*p, 148 = 3*i + p. Suppose f*m = i + 27. Is m prime?
True
Let m(q) = -q**3 - 7*q**2 - 7*q - 2. Suppose 0*i + 30 = -5*i. Let s be m(i). Suppose -2*v + 38 - s = 2*k, 0 = -4*v - 2*k + 60. Is v a prime number?
True
Suppose -3*x + 507 - 183 = 5*c, -6 = -2*x. Let u = c - -244. Is u a composite number?
False
Let x(h) = -2*h**2 - h + 10*h**3 - 13*h**3 + 10*h + 1. Is x(-7) composite?
True
Let c = 4254 - -4548. Suppose 4*j - 3*n - 11735 = 0, -c = j - 4*j + 3*n. Is j a composite number?
True
Suppose -3*s + 77 + 691 = 3*z, 268 = s - 3*z. Suppose s = 2*l - 23. Is l composite?
True
Let m(b) = b**3 + 2*b**2 - 4*b - 4. Let n be m(-3). Is 19/(-2*n/2) a composite number?
False
Let j be 4009/3 - 3/9. Let q = 1967 - j. Is q composite?
False
Let k be (-1 + 2)*(159 - -11). Suppose j + 21 - k = 0. Is j a composite number?
False
Let k(a) = a**2 - a - 2. Let u be k(3). Suppose -u*f - h + 6881 = 0, -1 - 9 = -2*h. Let o = f + -622. Is o composite?
False
Let w(z) = -8*z - 1. Let m be w(-1). Suppose m*j - 954 = 1475. Is j prime?
True
Let t(m) = m + 3. Let i be t(-3). Suppose -5*v + 31 = 4*o, -2*v - 2 + 12 = o. Suppose i = -6*b + v*b + 381. Is b composite?
False
Let g(b) = b + 9. Let a be g(-11). Is (-2678)/(-18) - a/9 a composite number?
False
Let w = -47 + 53. Let d = -8 - -33. Suppose o = w + d. Is o a prime number?
True
Let b = -437 + -597. Let i = b + 4545. Is i a composite number?
False
Let m = 20 - 17. Is m + (4 + -1)*(-3514)/(-21) a composite number?
True
Suppose l - 3570 = k, -3*l + 3147 + 7571 = 5*k. Is l prime?
True
Let f = 11025 - -1492. Is f a composite number?
False
Is 395/10*(5 + 32 + -3) prime?
False
Suppose -v - 7 = -0. Let l = -7 - v. Suppose 4*w = -4*d + 624, l = -3*d + w + 59 + 421. Is d prime?
False
Let z = 471 - 730. Let s = z + 141. Let o = 101 - s. Is o a composite number?
True
Suppose 32 = -3*z - 2*n + n, 37 = -3*z + 4*n. Let i(l) = -2*l**3 - 11*l**2 - 4*l - 14. Is i(z) a composite number?
False
Suppose -9*i = 16805 - 93872. Is i a prime number?
True
Suppose 0 = q - 4*a - 115009, -3*a - 4 - 5 = 0. Is q a prime number?
True
Suppose -2*y - 2 = -4*y - 4*w, 3*y + 2*w = 3. Is 537*y + ((-3)/(-1) - 2) composite?
True
Let b(i) = -i**2 + 6*i + 8. Let n be b(7). Let o be n*(-3 - (-104)/1). Suppose -5*l - 402 = -4*c, -2*l = -c - l + o. Is c prime?
True
Let o be 97216/182 + (-1 - (-33)/39). Let h = o + 583. Is h prime?
True
Let v(t) = -t**2 - t + 21. Let m be v(0). Let s be (-22)/(-6) + (-14)/m. Suppose s*h + 202 + 15 = 4*b, 3*h = -b + 73. Is b a prime number?
False
Let y = 112 - 74. Suppose o = -x + y, 0 = -x - 4*o + 51 - 10. Suppose 0 = g - 2*g + x. Is g a composite number?
False
Is ((-10427)/8)/(76/(-608)) a prime number?
True
Let x = -17 - -1099. Suppose -3*q + 5*q = x. Is q prime?
True
Suppose 0 = -2*o + 4, 0*p + p - 5375 = 4*o. Is p a composite number?
True
Suppose -37767 = 15*p - 18*p. Is p a prime number?
True
Is 2880 + 54 - (5 + 2) composite?
False
Suppose 2*g = 3*h + 54, h = -2*g + 6*h + 46. Let j = -88 - -125. Suppose -3*s - j = -y, -2*y + s + g + 61 = 0. Is y a prime number?
False
Let n = -6 - -7. Suppose -3*a = n + 2, a + 15 = w. Is w prime?
False
Let j = 12020 - 6541. Is j prime?
True
Suppose -6*y + 61999 + 25583 = 0