o be (24/5)/((-6)/(-20)). Suppose 2*s = -o + 54. Suppose -h + s + 13 = 2*p, 5*h - 2*p = 100. Is h prime?
False
Suppose -2*z + 17226 = 2*w, -3*z + 3*w + 25855 = 2*w. Is z prime?
False
Let i be -1 + (-3 + 9)*108. Suppose 0 = 5*h - 421 + 2361. Let z = h + i. Is z a prime number?
False
Let s(q) = -91*q + 67. Is s(-16) a prime number?
True
Let q be (28/(-8))/(2 + 15/(-6)). Suppose 4*c + r = -142 + 34, 0 = -4*c - 4*r - 96. Let o = q - c. Is o composite?
True
Suppose 4*m = 4*y + 2504, 4*y - 8*y + 20 = 0. Suppose 3*n = m - 253. Let g = 3 + n. Is g prime?
False
Let d(v) = -82*v**3 + 3*v**2 + 15*v + 7. Is d(-3) composite?
False
Let w(a) = -472*a**2 + 6*a - 10. Let l be w(4). Is 2/(-8) - (l/8 - 5) composite?
False
Suppose 0 = -4*x + 5*n + 22, 4*x - 2*n = 22 + 6. Let s = x - -11. Is s composite?
False
Let i(n) = -65*n + 92. Is i(-9) composite?
False
Let q = -5472 + 11816. Let a = q + -4245. Is a a prime number?
True
Let v(a) = -a**3 + 3*a**2 + 4*a + 2. Let d be v(4). Let r be -28*(3/(-12) - d). Let l = 134 - r. Is l prime?
True
Let q be 2/(-11) + (-4)/(-22). Suppose q*l = -l. Suppose -4*v + 24 = -r, 0 = -v - l*v - 2*r + 15. Is v a prime number?
True
Let w be (-6)/((-3)/(-6)*4/(-2404)). Let g = -3605 + w. Is g composite?
False
Is 0 + 3992 - (73 + -70) a composite number?
False
Let d(p) = p + 4. Let n be d(-4). Let f = 5 + n. Suppose 0 = x - 4*g - 2301 + 538, 4*x - f*g - 7041 = 0. Is x composite?
False
Suppose -1141 - 9195 = -2*b - j, 0 = -3*j + 6. Is b prime?
True
Let l(p) = 767*p**2 - 16*p + 5. Is l(2) a composite number?
False
Let c(l) = -5*l + 37. Let x be c(8). Is (-399)/(-3) + x + 3 a composite number?
True
Let r = 27266 - 8479. Is r composite?
False
Let d = 3984 + -1481. Is d a composite number?
False
Let a = -266 - -474. Let j be a/176 - (-2)/(-11). Let y(g) = 76*g - 2. Is y(j) composite?
True
Let i(f) = 2*f**3 - 9*f**2 + 7*f + 7. Let l(x) = 5*x**3 - 19*x**2 + 14*x + 14. Let n(t) = 9*i(t) - 4*l(t). Is n(-5) composite?
False
Let f = -483 + 4395. Let a = f + -1361. Suppose -4*n = 803 - a. Is n a prime number?
False
Let f = -4142 + 6379. Is f prime?
True
Let h(l) = 227*l + 156. Is h(7) a prime number?
False
Suppose -2*g + 3 = -7. Let j = 11 + 609. Suppose g*f + 3*q = j, q + 137 = -4*f + 640. Is f composite?
False
Let d be 56/(-3)*3/(-2). Let j = d - -3. Is j a prime number?
True
Suppose 4*x - 945 = -x. Suppose 2*g - 742 = -3*r, g - x = -r + 181. Suppose 4*o + 5*s = g, -3*s - 6 = 6. Is o a prime number?
True
Let l(p) be the third derivative of -p**6/30 - p**5/30 - 5*p**3/6 + 6*p**2. Is l(-3) prime?
False
Let g(v) = 98*v + 12. Let p be g(8). Suppose 5*y + p = 3*l, 301 = 3*l + 5*y - 445. Is l a composite number?
False
Let t = 29 + -15. Suppose 0 = t*j - 13*j - 203. Is j prime?
False
Let s(n) = -6*n + 3. Let m be s(0). Suppose -3685 = -m*c + 7814. Is c prime?
True
Let g(z) = -z**2 + 14*z + 4. Let l(t) = t + 1. Let s(o) = -g(o) + 6*l(o). Let k be s(8). Is 10 - (0 + k + -2) composite?
True
Suppose 4*w - 31 - 192 = -r, -3*w + 5*r + 150 = 0. Let u(y) = 7*y - 17*y**2 - 1 + w*y**2 - 10*y. Is u(-2) prime?
True
Let y = 1014 + 6239. Is y prime?
True
Is ((-3)/9)/(((-2)/6999)/2) prime?
True
Is 132980/28 + 52/(-182) a composite number?
True
Let r(m) = 42*m**2 - 9*m + 28. Is r(3) a prime number?
True
Let x = -133 + 1200. Is x a composite number?
True
Let j(n) = -n**3 - 17*n**2 + 2*n + 36. Let s be j(-17). Suppose s*l - 893 = -87. Is l a composite number?
True
Let u(s) = 110*s**2 + 68*s + 199. Is u(-32) a prime number?
False
Suppose -7*p + 163186 = 59285. Is p composite?
False
Let c = 23 + -20. Suppose 37 + 128 = c*x. Is x prime?
False
Let c be (-19 - 3 - -3) + 1. Is ((-511)/21)/(2/c) composite?
True
Let a(r) = 142*r - 223. Is a(8) a composite number?
True
Suppose 3*t + 74 = -5*r + 188, 0 = -5*r + 5*t + 90. Is 13266/r + -1 - 12/(-42) a prime number?
True
Let s(g) = g**3 + 5*g**2 - g - 5. Let b(d) = 6*d**3 + 26*d**2 - 5*d - 24. Let n(f) = -2*b(f) + 11*s(f). Is n(-6) a composite number?
True
Suppose -7*z + z = -30. Suppose -4*g = -z*r - 6760, -1883 = -g - 2*r - 206. Is g a prime number?
False
Let y = -8 - 6. Let h(z) = -67*z + 61. Let a(r) = 22*r - 21. Let j(k) = 17*a(k) + 6*h(k). Is j(y) prime?
True
Suppose -866328 = -8*y - 0*y. Is y composite?
True
Let n = -1895 + 1100. Is (-2 + n)*(4 + -5) composite?
False
Let o(l) = 11*l**2 + 67*l - 277. Is o(22) prime?
True
Let c(j) be the third derivative of j**5/12 + j**4/12 - 4*j**3/3 - 5*j**2. Let s be c(-4). Suppose 4*w = s - 8. Is w prime?
False
Suppose -1417 = 9*d - 17554. Is d a composite number?
True
Suppose 5*k - 2*d - 32 = -5*d, 5*d - 8 = 3*k. Is (-4)/(-4*k/1384) composite?
True
Let m(x) = -x**3 + 18*x**2 - 15*x - 19. Is m(13) a composite number?
False
Let v(p) = 2*p**2 + 5*p - 2. Let k(i) = -i**2 - 6*i - 5. Let l be k(-6). Let d be v(l). Suppose u - 12 = d. Is u prime?
False
Let w be 6*(2 - (-8)/(-6)). Suppose 10202 = 4*b + p - 0*p, -4*p + 10196 = w*b. Is b prime?
True
Let k(f) = -33*f**3 + 19*f**2 + 32*f + 251. Is k(-13) a prime number?
False
Let c(u) = -u**2 - 17*u - 13. Let n be c(-15). Suppose -6664 = n*b - 21*b. Suppose -2*j - 176 = -b. Is j a composite number?
True
Let u(y) = 0 - 5*y**2 - y**3 + 5*y + 8*y**3 + 4. Let b be u(5). Suppose 3*g - 2*c = -c + b, -c - 2 = 0. Is g prime?
False
Suppose -25765 = -5*a + u, -7*u + 10*u + 20612 = 4*a. Is a a prime number?
True
Suppose 5*l = 25, o - l - 14 = -2*l. Let q be 1685/4*(-5 + o). Suppose 4*p + p - q = 0. Is p a prime number?
True
Suppose -o + 3*i = -12, i + 18 = o - 4*i. Suppose f = -f - 2. Is o/(-6)*172/f a composite number?
True
Suppose 11 = -x + 2*m + 3*m, -x - 5*m + 19 = 0. Suppose x*r - 137 = 5511. Suppose -r = -4*v + 5*u - 3*u, -4*u = 0. Is v a prime number?
True
Let o(i) = 3*i**2 - 10*i + 2. Let z be o(3). Is z/(2564/(-3418)*4 - -3) prime?
True
Let s(r) = r**3 - 11*r**2 + r - 8. Let y = 19 - 17. Suppose -5*j + 77 = -t + 3*t, y*t = 2. Is s(j) composite?
False
Let d(a) = 247*a - 54. Is d(25) composite?
False
Let c be ((-14)/4)/((-2)/(-4)). Let n(d) = d**2 + 9*d + 7. Let h be n(c). Is h/28 - (-1341)/4 a composite number?
True
Let i(o) = 43*o**2 - 7*o + 13. Is i(31) prime?
False
Suppose -5*w + 5037 = 4*c, -4*w + 2578 = 4*c - 2462. Is (-3 + -2 - -1) + c composite?
False
Suppose 15 = z - 5*d, -3*d + 8 = -7*d. Suppose -z*r = -25, -4*x + 2*r + 226 = -0*x. Is x a composite number?
False
Suppose 5*v - 9 = -14. Let o(u) be the second derivative of -132*u**3 - u**2/2 + u. Is o(v) prime?
False
Suppose 57569 - 604025 = -24*j. Is j prime?
True
Let o be 0 + 4*(0 + 1). Let r be (-4215)/(-9) - 2/6. Suppose 3*j - 2*x + 460 = 7*j, -4*x + r = o*j. Is j prime?
True
Is (-13052)/(-4) + 3 + (-20)/(-4) a prime number?
True
Suppose -y + 5515 + 21529 = 2*x, 4*x - 2*y - 54096 = 0. Is x a composite number?
False
Let q be (8/10)/(8/(-40)). Is 187*(1 - (4 + q)) a prime number?
False
Let j(a) = -a**2 - 7*a - 6. Let h be ((-4)/(-5))/(12/(-90)). Let g be j(h). Suppose g = 2*y + y - 2*m - 859, 0 = -3*y + 5*m + 856. Is y a composite number?
True
Let k(y) = y**2 - 1. Let d(x) = -103*x**2 - x + 5. Let s(r) = -d(r) - 6*k(r). Let p(h) = -h**2 - 26*h - 1. Let n be p(-26). Is s(n) a composite number?
False
Let d be 2/8 + 8760/32. Suppose -2 = 2*a - 6, 2*a + d = 2*p. Is p a composite number?
False
Let z = -4487 - -6919. Let g = z - 967. Is g a composite number?
True
Let s(g) = -g**3 - 16*g**2 - 14*g - 5. Let b be s(-15). Is (-3808)/(-10) + (-4)/b a composite number?
True
Suppose 0 = 5*t + 4*g - 2, -t + 2*t = -2*g - 2. Let p be (-5334)/4 + t/(-4). Let o = -921 - p. Is o a composite number?
True
Suppose 5*n - 4*z + 6 = -0*n, -2*z + 8 = 0. Suppose 6 = n*p - 0. Suppose -2*u + p*u = 877. Is u prime?
True
Suppose 162 = 4*i - 74. Let t = -24 + i. Suppose -5*s - t = -3*p + 35, -2*p + 2*s + 48 = 0. Is p a composite number?
True
Suppose 0 = -7*h + 3*h - 860. Let k be ((-240)/10)/((-4)/(-22)). Let t = k - h. Is t a prime number?
True
Suppose -13 = 3*q - 16. Suppose q = -2*x + 15. Is x prime?
True
Suppose -3*g = -0*g + 12. Is ((-28)/21)/(g/222) composite?
True
Let p(l) = -2*l**2 + 4*l**2 - 2*l + 2*l**2 + 4. Let j be p(5). Suppose 2*v - 2 = 2*d - j, 5*d + 2*v = 251. Is d prime?
False
Let q = -34 + 465. Let d(i) = -3*i**2 + 6*i - 7. Let l be d(5). Let g = l + q. Is g a composite number?
False
Let q = -11 - -11. Supp