 Is f(1) a prime number?
False
Let m(j) = j**2 - j - 2. Let i = -25 - -30. Let p be m(i). Is 2452 + 1 - p/(-9) prime?
False
Suppose -10 = 5*x - 7*x. Suppose 2*d - 3*m = 13186, -12197 = -x*d + 2*m + 20790. Is d prime?
True
Let m(l) = 7*l**3 + 27*l**2 + 5*l - 9. Let f(p) = 4*p**3 + 14*p**2 + 2*p - 4. Let j(o) = -5*f(o) + 3*m(o). Let h(k) = -7*k + 57. Let w be h(9). Is j(w) prime?
False
Let a(c) = -35262*c + 2343. Is a(-18) composite?
True
Is 7 - -8*(-1217273)/(-76) composite?
True
Suppose -54*q - 16777971 = -117*q. Is q a prime number?
False
Let c = 8681 + -7602. Is c a composite number?
True
Suppose 30 = 3*q + 3*i, 3*q - 5*i + 10 = -0*q. Suppose 3*w + q = 20. Suppose 8*g + w*t + 224 = 11*g, t - 171 = -2*g. Is g composite?
False
Suppose 4*r = 4*j + 406268, 57*j = -2*r + 52*j + 203092. Is r composite?
False
Let d be (1 - (4 + -3)*5) + 10148. Suppose 4*s - 50268 = -d. Is s prime?
False
Is (-6)/9*(30/60)/((-2)/433266) composite?
False
Is (-1)/(-4) - (-251753)/8 - (-282)/(-752) a composite number?
False
Is -41 + 58 + (-1 - -293905) a prime number?
False
Suppose 0 = 76*o - 115*o + 1736007. Is o a composite number?
True
Let c be (-2676)/(-8)*(-12)/(-18). Let q = c + 1414. Is q composite?
False
Suppose r + 4*g = -18, 4*r + 4*g + 4 = -8. Suppose -5*d = -20, -4*v + r*d = -d - 36. Suppose 9217 = v*h + h. Is h a composite number?
False
Let n(u) be the second derivative of -11*u**3/6 - 5*u**2 + 12*u. Let f be n(-10). Let v = 403 + f. Is v a prime number?
True
Let u(b) = -2*b**2 + 8*b + 12. Let m be u(5). Suppose 4*y + 5*z - 13 = 19, -m*z + 5 = -y. Is 53 + y + (-15)/5 a prime number?
True
Let s(z) = 1131*z + 7. Let n be s(-3). Is (n/8)/(2/(-8)) prime?
True
Suppose 0 = -7*w - 7*w + 352674. Suppose -z + w = a + 9768, -2*z + 30848 = 3*a. Is z a composite number?
True
Let j(c) = 45*c**2 - 82*c + 305. Is j(46) a composite number?
False
Let x be (-1 + 627/1)*(22 + -16). Let f = x + -1519. Is f a prime number?
True
Suppose -15 = f + 4*y, -4*y + 0 = 20. Is 223*f/15*3 a composite number?
False
Let o(r) = 5*r - 68. Let i be o(14). Is (3 - (2719 + 6))*(-3)/i a prime number?
False
Let r = -273 + 133. Is (-3279)/(-7) + r/(-245) composite?
True
Let x(n) = -62120*n + 883. Is x(-2) prime?
False
Let q = 48 + -45. Suppose 5*f = q*w - 16, -5*f - 9 = 1. Suppose 5*y - 998 = -u, -w*y = 5*u - u - 3938. Is u a prime number?
True
Suppose 3*l + 83 = -67. Suppose 2736 = 192*g - 208*g. Let v = l - g. Is v composite?
True
Suppose h = -4*w + 438482, 289*w - 5*h = 293*w - 438474. Is w a composite number?
False
Let b(w) = -34*w**3 + 20*w**2 - 58*w - 19. Is b(-11) a prime number?
False
Is (568088 - -13) + (-1 - 3) a composite number?
False
Suppose -370*x - 105 = -365*x. Is ((-1687425)/12)/(-5) - x/(-28) a prime number?
True
Suppose 11*r - 105 = 27. Let b(j) = 27*j**2 + 25*j + 41. Is b(r) a prime number?
True
Let f = -19 - -15. Let d be f + -3769 + -3 + 4. Let z = -1767 - d. Is z composite?
True
Let s(v) = -3*v**2 - 39*v - 1. Let o be s(-12). Let x(i) = -3 - 4 + o*i - 93. Is x(31) composite?
True
Let h = -49 + 52. Suppose -h*u - 514 = -1468. Suppose u = -x + 4*x. Is x prime?
False
Suppose -3*j - 92666 = -2*u, -4*u + 5*j + 128224 + 57104 = 0. Is u composite?
False
Let v = 2198 - -1937. Let b = 726 + v. Is b a composite number?
False
Let p(o) = 26316*o - 23. Is p(1) a composite number?
False
Suppose 0 = -16*g + 12*g + 8. Is -4 + 0 + 1089 + g prime?
True
Let f(k) = -1089*k - 722. Is f(-9) composite?
True
Suppose -112517 = 7*o + 63351. Let z = 43293 + o. Is z a composite number?
False
Let w(a) = 3*a**3 - 348*a + 319*a - 2 + 11. Is w(11) a composite number?
True
Suppose 9*g - 948161 - 2000662 = 0. Is g prime?
True
Let p(v) = v**2 - 6*v + 58. Let o(s) = s - 3. Let m be o(13). Let d(b) = b**3 - 10*b**2 + 3*b - 9. Let j be d(m). Is p(j) a composite number?
False
Let u(t) = -t**3 + 15*t**2 + 15*t + 17. Let d be u(16). Let b = 5 + d. Is b/(-14) - (-3306)/21 a composite number?
False
Let s be ((-15)/20)/((-2)/8). Suppose 4*m - 13 = -z, -z - 10 = -5*m - 5. Suppose -5*i + s*g = -i - 2728, -3*i + 2017 = z*g. Is i a composite number?
True
Let a(d) = 1197*d + 4. Suppose 2*j - 2*x + 6 = 0, 17 = j - 2*x + 6*x. Is a(j) composite?
False
Let x(p) = 92 - 14*p + 100 + 69 + 14*p**2 + 84 - 310. Let o(f) = -f + 4. Let u be o(-8). Is x(u) a composite number?
True
Let p = -499 + 494. Let k(c) = -26*c**3 + 14*c**2 - 7*c - 6. Is k(p) prime?
False
Let y = 1741777 + -1161314. Is y composite?
True
Suppose j = 15*b - 16*b + 99760, 4*j = b + 399045. Is j composite?
False
Let u = -17773 + 61104. Is u a prime number?
True
Let u be 2/(-10)*(-26 - -16). Suppose -4 = -4*z - 4*j, -6*j + 2*j - 20 = -u*z. Is (-2963)/(-5) - z/(-10) prime?
True
Suppose 11*p - 42844 = 38872 + 55949. Is p a composite number?
True
Is (-3522168)/(-32) + (-57)/12 a composite number?
False
Let o(s) = 1776*s**3 - 5*s**2 + 5*s + 11. Is o(3) composite?
False
Let d(v) = v**2 - 3*v - 83*v**3 - 98*v**3 - 4 + 6*v. Is d(-3) a composite number?
True
Let t be 4/(-2) + 373 + 0/3. Is -2 - t*(-14 + -7) composite?
False
Let u be ((-12)/(-20))/(1/3905) - 0. Suppose -18*c = -21*c + u. Is c composite?
True
Let z(w) = -14*w**3 - 40*w**2 - 20*w + 101. Is z(-12) prime?
True
Let i(d) = -5*d**2 + 12*d - 13. Let y be i(4). Let h be (-9)/y + -218*(-1)/10. Is h/(-1*39/41 - -1) composite?
True
Suppose -3*a + 28626 = 3*c, 0 = -5*c - 19 + 4. Let o = a + -4962. Is o a prime number?
True
Let a = -47 - -59. Suppose 7*y - a = -4*o + 3*y, 4*o - 28 = 4*y. Suppose o*z - 3*b - 116 - 303 = 0, -4*z + 325 = b. Is z composite?
True
Suppose 3*k + 5*k - 2124599 = -11*k. Is k a composite number?
False
Let w(j) = 416*j**3 - 6*j**2 - 91*j + 117. Is w(10) prime?
True
Let b be (-2 - -3)/(13/65). Suppose -32572 - 21781 = -b*u + 2*x, -4*u = 5*x - 43489. Is u a composite number?
True
Let r = 91428 - 40287. Is r a prime number?
False
Let d(i) = -6*i - 47. Suppose -4*q - 24 = -4*v, 4*q = -3*v + 3 - 13. Suppose u = v*u + 22. Is d(u) prime?
False
Suppose -4*t + 20 = 0, -2*l - 2*t + 329155 = -5*t. Is l a prime number?
False
Suppose -i - 2*a = -81999, 5*i + 4*a - 249183 = 160824. Is i composite?
False
Let q(r) = 11*r**3 + 7*r**2 - 7*r + 2. Let k = -491 - -504. Is q(k) a composite number?
False
Let b = 3664 - 1772. Suppose -4*w + 2*p = -2*w - 3754, -2*p = w - b. Is w prime?
False
Let w = -18188 - -46339. Is w a prime number?
True
Let h(j) = 241027*j**2 - 87*j - 87. Is h(-1) prime?
True
Let d(t) = 2*t**2 - 29. Let i be d(0). Let s = i + 28. Is 4/10 + s + 18676/10 composite?
False
Suppose -70*w + 47*w + 48*w = 864275. Is w a prime number?
False
Let y = 1827 + -910. Is y prime?
False
Let b = 11 - 8. Suppose 28*s - s + 5*s = 96. Suppose -3*d - d + 1032 = 2*g, -b*d = s*g - 777. Is d composite?
False
Suppose 24*g + 217*g - 178113591 + 45430318 = 0. Is g a composite number?
False
Let t(b) = b**3 - 9*b - 4. Let g be t(11). Let m = g - -2731. Is m a prime number?
False
Let u = -353 - -344. Is 1 + 8074 + u + 3 composite?
False
Let m(x) = -x**2 + 5*x + 27. Let r be m(8). Suppose 2 = -r*i + 77. Suppose 0 = -i*y + 24*y + 43. Is y a composite number?
False
Let d(n) = -112*n**2 + 11*n + 84. Let r be d(-11). Let f = 19570 + r. Is f a prime number?
True
Suppose -17*d + 80 = -d. Suppose d*y - 499 = -4*z, 4*z - 363 - 146 = -3*y. Is z prime?
True
Is 145754379/187 + (-28)/154 a composite number?
True
Suppose -y - 15 = -4*y - 3*b, 4*y - 4*b = 4. Let u(h) = 282*h**2 - h + 9. Let g(j) = j**2 - 2. Let p(f) = 5*g(f) + u(f). Is p(y) composite?
False
Is -1 + ((-162)/(-42))/3 + 3860875/35 composite?
False
Suppose -b - 59 = -3*o - 55, -2*o - 5*b - 20 = 0. Let r(u) = u**2 - 2*u. Let v be r(3). Suppose -v*z + 6 = 0, 0 = -x + 5*z - o*z + 2163. Is x prime?
False
Let s(u) = -u**3 + 42*u**2 + 135*u. Let r be s(45). Suppose r = 4*b - b - 21849. Is b a prime number?
True
Is 47237/((-4)/(-30) + 156/180) composite?
False
Let y(i) be the second derivative of -3*i**5/10 - 2*i**3/3 + 2*i**2 + 19*i. Let k be y(-4). Let w = k - 113. Is w composite?
True
Let y(p) = p**3 + 85*p**2 - 25*p + 282. Is y(-77) prime?
True
Let x = -47 + 43. Let s(o) = -o**2 - 8*o - 16. Let p be s(x). Let i(d) = d + 25. Is i(p) a composite number?
True
Suppose 16 = -4*y + 3*d, -7*d + 13 = -y - 4*d. Let p(o) = -4925*o**3 + 2*o**2 + o + 1. Is p(y) prime?
False
Is (171860/(-6) - (-4