e
Let o = -8493 + 16106. Is o a prime number?
False
Let k(y) be the second derivative of -7/6*y**3 + 2/3*y**4 - 4*y + 0 + 1/2*y**2. Is k(-6) a prime number?
True
Is ((-231)/(-14))/((-51)/(-17714)) a prime number?
False
Let t(p) = -p**3 + 7*p**2 + 2*p - 13. Let c be t(7). Is ((-63934)/(-104))/(c/4) a prime number?
True
Let u be (12/(-9))/(-4)*-12. Is 2*(16930/u)/(-5) composite?
False
Suppose 0 = -x + 5*t + 45958, -8*x + 12*x - t = 183775. Is x a prime number?
True
Let o = 19 - -1. Suppose -450 = -5*b + 3*r - 7*r, -o = 4*r. Suppose 55 = k - b. Is k a prime number?
True
Let y(a) = a**2 - a - 1. Let q(o) = 30*o**2 - 4*o - 5. Let b(v) = -q(v) + 5*y(v). Let c be b(1). Is 4/c - 2318/(-26) prime?
True
Suppose 0 = -j - f + 16, 3*j - f - 21 = 19. Is (-2 + 21)/(2/j) composite?
True
Let h = 19993 + -12636. Is h prime?
False
Let p be (-868)/5 - 16/40. Let t = p - -331. Is t a prime number?
True
Let w = 7224 + -3751. Is w composite?
True
Let a(w) = -w**3 - 31*w**2 + 35*w - 128. Is a(-33) composite?
True
Let u(d) = 2*d - 14. Let j be u(8). Let h be 3 + (-1)/(j/2). Suppose h*b + 3*c = 397, 0 = -2*b - b - c + 578. Is b composite?
False
Suppose 3*v = v - 4, -4*f = -3*v - 2. Is ((-5)/(5/1277))/f composite?
False
Let a(g) = -2*g + 16. Let o be a(8). Let h be (-3)/(-3*2)*o. Suppose -s - w + 145 = h, 2*s + 2*s = -2*w + 580. Is s prime?
False
Let p be 3/(1 + 2) - (-66)/(-6). Let i(h) = -2*h + 7. Let j be i(-14). Let k = p + j. Is k prime?
False
Is (-180)/(-18) - (-16777)/1 a prime number?
True
Is 37792/2 - (-37 + 40) a composite number?
True
Suppose 8*w + 15368 = 268960. Is w composite?
False
Let q = 52 + -43. Let n(k) = 498*k - 39. Is n(q) a composite number?
True
Suppose 2*y - 11787 = 5*d, -3*y = 3*d + 2201 - 19871. Is y composite?
True
Suppose 10 = 2*f + 2. Suppose -w + 156 = 4*c - 2*c, -2*w = f. Is c prime?
True
Let m(c) = -29*c - 1 - 106*c - 64*c. Let i be m(-3). Suppose i = 3*z + z. Is z a composite number?
False
Suppose 8 = 2*b, 304151 = -9*j + 14*j + 4*b. Is j a composite number?
True
Is 1/(-7)*-6 - 163864/(-56) composite?
False
Suppose 0 = 4*p + 2*c - 4228 - 25158, 2*c + 29406 = 4*p. Is p a composite number?
False
Let j = -155 - -161. Suppose 0 = -j*z + 11*z - 22345. Is z prime?
False
Suppose -3*r - 3941 - 6250 = 0. Let x = r + 12782. Is x composite?
True
Let p(c) = c**3 + 12*c**2 + 4*c - 1. Let r(n) = 1 - 6*n + 0*n**3 + 5*n**2 + 4*n + 3 - n**3. Let i be r(5). Is p(i) a prime number?
True
Let j(f) = f**2 + 15*f + 2. Let u be j(-15). Is ((-19578)/(-65))/(u/5) a prime number?
False
Let w(v) = 2*v**2 - 4*v + 2. Let l be w(2). Suppose 717 = -l*k + 6*k + 3*y, -4*y + 716 = 4*k. Let c = k + 37. Is c composite?
True
Suppose d - 21774 = -0*d - 4*b, -3*d - 2*b + 65352 = 0. Is 14/35 + d/10 a prime number?
True
Suppose 27 = 2*x - 5. Suppose 2*t = -2*t + x, 3*b - t = 2366. Suppose -3*c = b - 2509. Is c a composite number?
True
Let p(k) = 4*k**3 - 2*k + 1. Suppose -o + 3 - 1 = 0. Let a be p(o). Suppose -4*z + 6*c + 140 = 2*c, -5*c = z - a. Is z a prime number?
False
Let y(n) = 77*n**2 + 9*n - 15. Let s be y(6). Suppose 2*f + 3*c = -321 + 1724, c - s = -4*f. Is f a composite number?
True
Let d be ((-1)/3)/(-5 + 220/45). Is (3 + -2122)*(1 - -1 - d) prime?
False
Suppose 3*v = 5*v + 10. Let d(n) = -34*n - 12. Let u be d(v). Is 0 + -3 + 2 + u a composite number?
False
Let g = 15739 - 8873. Is g composite?
True
Suppose -2*j + 10 = -2*x, 2*x + 7 = 3*x + 3*j. Is (128/24)/(x/(-36)) - -1 a composite number?
False
Suppose 5*a - 8745 + 3365 = 0. Let z = -454 + a. Is z composite?
True
Suppose -5*a + 2078 = -9107. Is a a prime number?
True
Let d(n) = 1 + 3*n**3 + 4*n - 3*n + 8*n**2 + 0*n - 4. Let c(i) = -3*i**3 - 8*i**2 - 2*i + 4. Let w(h) = 6*c(h) + 7*d(h). Is w(5) a composite number?
True
Let o(i) be the second derivative of 13*i**4/4 + i**3/3 + 2*i**2 - 7*i. Let f be o(-6). Suppose 3*g + 2798 = 4*w, -w - w = -3*g - f. Is w prime?
True
Let j = 43141 - 26220. Is j a prime number?
True
Let q(i) = -2*i**3 + i**2 - 5*i - 5. Let o be q(-6). Let a = -127 + 129. Suppose 3*t + o = 2*u, -4*u + t = a*t - 1007. Is u a prime number?
True
Let v be (-2)/8*-4 + -1. Let z(f) = -f**2 - f + 197 - f**3 - 187 + 321. Is z(v) a prime number?
True
Is -6*419*-4 + 31 + -30 composite?
True
Is (-9 + (-136 - 6))*-53 prime?
False
Suppose 0 = -2*f - 2, -3*h + 2*f + 254 = -372. Suppose -h = 4*o + 232. Let m = o + 163. Is m prime?
True
Suppose 28*j = 32*j - 8. Suppose -2*l = -5*m - 1506, 10*l = 5*l - j*m + 3823. Is l a prime number?
False
Let v be -5 + 5 + 2 + 1. Is ((-1)/v - -1)*2490/20 prime?
True
Let s = 107 - -21. Suppose 3*m - s = 163. Is m prime?
True
Let h(w) be the second derivative of -w**5/20 + 7*w**4/4 + 3*w**3/2 - 13*w**2 - 4*w. Is h(21) prime?
True
Let t(l) = -l**3 + 3*l**2 + 6*l + 4321. Is t(0) composite?
True
Let q be 5*1 + (1 - 1). Suppose 9*b = q*b + 184. Is b a prime number?
False
Suppose 0 = -5*z + 2*u + 242807, -3*z + 13324 = -3*u - 132353. Is z a prime number?
True
Let g = 1386 - 461. Suppose 3*d + l - g = 0, 4*d - 3*l - 655 - 561 = 0. Is d a prime number?
True
Let f = -31 + 61. Suppose 3*m - 13 = -w, 5*m - w - f = -11. Suppose 2*b - b = -m, 5*b - 3185 = -5*n. Is n composite?
False
Let k(r) = 3*r**3 + r**2 - r + 2. Let n(t) = t**3 - 4*t**2 + 2*t - 2. Let w be n(4). Suppose -23*o = -21*o - w. Is k(o) prime?
True
Let t be (-6)/(-6)*(-137)/(-1). Suppose 3*i - 424 = t. Is i a composite number?
True
Suppose 52*o - 62*o + 25450 = 0. Is o a prime number?
False
Suppose -z + 2*z = -2*h + 9517, z - 9552 = 5*h. Suppose 0 = 6*k + k - z. Is k a prime number?
True
Let u = 36 + -28. Let t = u + 243. Is t prime?
True
Let a = 5 + -8. Let b(l) = -l**2 - 42*l - 72. Let o be b(-40). Is (6/o)/(a/(-12)) prime?
True
Suppose -171602 = -27*c + 401095. Is c composite?
False
Let m be (-14)/(-16) + 4/32. Let z(c) = 193*c - 2. Let j(d) = -55199*d + 573. Let f(w) = 2*j(w) + 573*z(w). Is f(m) prime?
True
Let z = -180 - -3454. Let u = z + -2123. Is u composite?
False
Let y(f) = 3 + 6*f**3 - 5*f**2 + 2 - 3*f - 12 + f**2. Let m be y(7). Suppose -q = -3*q + m. Is q composite?
True
Suppose -6*p + 9*p + 14159 = 5*g, g = 3*p + 2827. Is g a composite number?
False
Let a be (-8)/(-14) - 1 - (-1225)/(-343). Suppose 5*w + 179 - 1314 = 0. Is a + w + (-4)/2 a prime number?
False
Let q(r) = -3*r - 6. Let c be q(3). Let d be 28/5 - 6/c. Suppose 0 = 3*k - d*k + 1437. Is k a composite number?
False
Let d(n) = -5*n**3 - 6*n**2 + n + 11*n**2 - 6*n**2 + 1. Let k be d(-1). Suppose -k*z = z - 845. Is z a composite number?
True
Let d = -23 - -20. Is d - (3 + -1 + -102) a composite number?
False
Is ((-43)/2 - -1)*(-549 - 145) composite?
True
Let w(b) = -341*b**3 + 18*b**2 + 177*b + 7. Is w(-6) a composite number?
True
Suppose -8057 = -11*y + 10*y. Is y composite?
True
Suppose -3*w - 67 = -4*w + 5*f, 3*f = 2*w - 134. Is w a prime number?
True
Let b(z) = 2*z - 1. Let o(a) = 3*a - 1. Let i(m) = -m**2 - 8*m + 4. Let d be i(-9). Let u(y) = d*b(y) + 3*o(y). Is u(-8) prime?
False
Let s(i) = -583*i**3 - 2*i**2 + 18*i + 20. Is s(-1) prime?
False
Let j be (-2)/3 - 1854/(-27). Suppose -j = -3*c + 70. Is c prime?
False
Let l(h) = -h**2 - 2*h + 1189. Is l(0) a composite number?
True
Let j(a) = a**3 + 14*a**2 - 16*a - 10. Let f be j(-15). Suppose -5*w - 4*i + 391 = 0, -f*w + 157 = -3*w + i. Is w a composite number?
False
Let p(s) = -2*s**3 - 11*s**2 - 8*s + 7. Let n(c) = -c**2 - c. Let i(h) = -5*n(h) + p(h). Is i(-8) composite?
True
Let k(a) = -5*a. Let i be k(-1). Suppose -9 = -i*m + 11. Is (2/3)/(m/462) a composite number?
True
Let w(t) = -5*t**2 - 6 + 6*t**2 + 2*t + 2. Let s = 13 + -8. Is w(s) a prime number?
True
Let v(o) = o**3 + o**2 + 123. Let g be v(0). Suppose -x = -4*j - 187, j + 640 + g = 4*x. Is x composite?
False
Let q(z) = 257*z + 19. Suppose 9*y = -2*y + 66. Is q(y) a prime number?
False
Let m(r) = 21316*r + 37. Is m(1) a prime number?
False
Is 2/10 - (109869/(-5) - -3) a prime number?
False
Suppose -z + 83 = -4*v, 97 = -4*v - 4*z + 9. Is 942/14 - (-6)/v a composite number?
False
Let k = -1 - 4. Let a(n) = 131*n**2 + 14*n + 12. Is a(k) prime?
True
Let l(n) be the second derivative of -n**5/20 - 5*n**4/6 - 2*n**3 - 4*n**2 - 9*n. Let h be l(-10). Suppose -3*v - h + 361 = 0. Is v a prime number?
True
Let c(w) = 221*w**2 + 25*w + 9. Is c(-7) com