er?
True
Let k(y) = y**3 + 8*y**2 - 9*y + 5. Let i be k(-9). Suppose i*b - 4*o - 710 = 2783, -5*b + 2*o + 3489 = 0. Is b a prime number?
False
Suppose -z - z = -3*q - 1081, -2*q - 1624 = -3*z. Let n = 81 + z. Is n composite?
True
Let l be (312/(-10))/((-2)/160). Suppose 4*c - 9*c - 3*x = l, 3 = x. Let a = c - -704. Is a a prime number?
False
Let o(g) = -g + 403. Suppose 2*k = -3*k. Let f be o(k). Suppose 347 = 3*w + 5*q, 4*q + f - 38 = 3*w. Is w prime?
False
Is (-87505)/(-15) + (-2 - (-12)/9) composite?
True
Let c(m) = 74*m**3 - 4*m**2 + 3*m - 3. Let p be c(3). Let f = p + -497. Is f prime?
True
Let u(c) = -5*c**3 - 26*c**2 + 15*c + 3. Is u(-11) a composite number?
False
Suppose -2*r + 10728 = y - 19631, 4*r - 7*y - 60673 = 0. Is r composite?
True
Suppose 4*v + 991 = s - 638, -3*s = 3*v + 1233. Let m be (-1)/(v/(-135) - 3). Let a = 136 + m. Is a composite?
True
Suppose 5 = 3*v - 19. Let n(g) = 4*g**3 - 12*g**2 + 6*g + 7. Let f be n(v). Let t = -434 + f. Is t composite?
True
Let r = -7 + 4. Let a be (56 - r) + 1 + 1. Suppose a = f - 84. Is f a composite number?
True
Let s(j) be the first derivative of 37*j**4/4 + j**3 + 2*j**2 - j + 25. Is s(3) prime?
False
Suppose -4*d - u - 3 = -6*d, 2*d = -4*u - 12. Is (-2 + -639 - d)*14/(-14) a composite number?
False
Let c(b) be the second derivative of b**5/10 - 2*b**4/3 + b**3/2 - 4*b**2 - b. Let s = 496 + -489. Is c(s) a composite number?
False
Suppose -6*i = 4*g - 4*i - 38976, -4*g - 5*i + 38970 = 0. Is g a prime number?
False
Suppose f + 4*l = 5227, 18*f - 20888 = 14*f + 4*l. Is f a prime number?
False
Suppose 26*g - 158719 = -21*g. Is g a composite number?
True
Suppose -5*q = -3 + 28. Let i(v) = 20*v**2 - 21*v**2 - 6*v**3 - 2*v - 2 + 4*v**3. Is i(q) a composite number?
False
Suppose 4*u = 12 - 0. Suppose 4*g - 4*j - 547 = 861, 4*j = -u*g + 1063. Is g prime?
True
Suppose 5*o - 3912 = 53. Is o prime?
False
Suppose -4*m + 22*p = 26*p - 60924, 3*m - 4*p = 45707. Is m a composite number?
False
Is -1 - (-5)/3 - (-4927)/3 a prime number?
False
Is ((-16604)/8)/((-4)/8) prime?
False
Let t(x) = -29*x - 12. Let s be t(-4). Suppose -s*u + 106*u - 10870 = 0. Is u a composite number?
True
Let u be (-10)/((-2)/(-6) - 182/534). Suppose 9*w = 4*w + u. Is w a composite number?
True
Let a(y) = -y**3 - y**2 - 1. Let p(l) = -4*l**3 - 8*l**2 + 3*l - 15. Let g(z) = -3*a(z) + p(z). Let j be g(-6). Is 108 + (j - 4 - -1) a composite number?
True
Let i = -5 + 10. Let y(u) = 0*u - 7 - 4*u + u**3 - 5*u + 2*u + i*u**2. Is y(6) a prime number?
True
Let i(a) = -2*a**3 + 4*a**2 + 3*a + 9. Let n be i(-9). Is (-6)/2 - n/(-6) a composite number?
True
Let h(i) = 2*i**2 - 2*i - 4. Let p be h(-3). Let z(t) = 1 + 5*t + 1 - 1 - 5 + p*t**2. Is z(3) prime?
True
Let x(m) = m**2 - 8*m - 10. Let o be x(9). Let t be (-1 - (-7 + o)) + -3. Suppose t*v + 5*u = u + 284, u = 4*v - 264. Is v a composite number?
False
Let f(r) = -r + 4. Let o be f(0). Suppose 4*p = 9*p - 20. Suppose -p - 4 = -o*g. Is g composite?
False
Let g = -8700 + 15991. Is g composite?
True
Suppose -4*k - 24 + 11 = -o, -9 = 2*k - o. Let j be k/(-1) + -5 + 0. Is 2/j - 2278/(-6) a prime number?
True
Let i = -255 + 1592. Is i composite?
True
Let s(b) = 6*b - 16. Let v be s(2). Is (3 - (-1766)/v)*-2 a composite number?
False
Suppose 16*p = 34*p - 6516. Is p a prime number?
False
Is ((-1)/11)/((-1)/227029) a prime number?
True
Let t = 2 - 0. Suppose -t*p = 2*w - w - 11, -w = 3*p - 14. Suppose n + 4*n - 2*y = 325, p*n - 176 = 5*y. Is n composite?
False
Let d(w) = w + 13. Let g be d(-9). Suppose -2*h + 15 = -g*x + 3*h, -h + 3 = 3*x. Is (7 + x)*(69 - -2) a prime number?
False
Suppose 3*h + 3 = 3*q, 4*h + 2*q + 2*q = 36. Let b(j) = 73*j**3 + j**2 + j - 2. Let v be b(2). Suppose -v = -h*l - 136. Is l a prime number?
True
Let n = 1058 + -550. Suppose u - n = 2713. Is u composite?
False
Let s(n) = 112*n**2 + 3*n + 12. Let b be s(6). Suppose b = 10*w - 4*w. Is w a prime number?
True
Let m(y) = 2*y**2 + 7*y - 2. Let c be m(-4). Suppose 5*j = -2*z + 8955, -c*j - 2*j = -2*z - 7182. Is j prime?
False
Let j(b) be the third derivative of 7*b**6/30 - b**4/8 + 5*b**3/6 + 23*b**2. Is j(2) a composite number?
False
Let r(u) = -u - 8. Let v be r(-8). Let z = 4 + v. Suppose -z*h - 1925 = -3*w, -3*w + 3*h = -6*w + 1890. Is w composite?
True
Is (4 - 2)/(-2)*108348/(-12) a prime number?
True
Let u(k) be the first derivative of -k**3 - 3*k**2 + 7*k + 1. Let d be u(9). Is ((-1)/2)/(1/d) a composite number?
True
Let h(p) = -p**2 - 16*p - 6. Is h(-13) a prime number?
False
Suppose 3*c - t = 15623, 7*t = c + 8*t - 5213. Is c prime?
True
Let v = -1 + 3. Let r be (v - -1 - 3) + 3. Suppose -r*q + 4*q = 253. Is q composite?
True
Suppose -6 = -r - 3*b, 4*r - 39 + 4 = -b. Let a be 3*3/r - 3. Is (-380)/(-30) - a/6 a prime number?
True
Suppose 3*k - 758 = -j, -5*j = k - 3*j - 246. Is k prime?
False
Let t = -25109 - -37663. Suppose -5*f = 2*o - 28735, 1060 = -2*f + o + t. Is f a prime number?
False
Is (3086/4)/((-1)/(-2)) composite?
False
Let h = 1820 - 79. Is h a prime number?
True
Is (-9 + -6)*(-1361)/3 composite?
True
Let n be 2 + 1 - -1 - 1. Suppose -4*x + n*o + 2*o = -9429, 5*x + o = 11808. Is x prime?
False
Let p be 5/((-4)/(-1803 - 1)). Suppose 0*x - 5*x = -p. Is x prime?
False
Let h(d) = -32748*d + 103. Is h(-2) a composite number?
False
Let j be (-6 + (2 - 0))/(10/(-35)). Suppose -11800 = -j*u + 51970. Is u a prime number?
False
Let t = -9 + 9. Suppose 2*k + g - 1 = t, -2*k = -k + 3*g - 13. Is (0 + -2)/(k/7) a composite number?
False
Is (412664/12)/(6/9) a composite number?
True
Suppose 5*u - 13029 = -4*p, -3*p + 3*u = p - 12989. Is p a prime number?
True
Let u be -3*(3 + -2) + 2. Let i(m) = 2*m**2 - 19*m + 12. Let h be i(9). Is (1/h)/(u/(-105)) composite?
True
Let c(f) be the third derivative of f**4/12 + 8*f**3/3 - 17*f**2. Is c(15) prime?
False
Let r(h) = h**2 + 12*h - 11. Let z(y) = 12*y**3 - y**2 + y + 1. Let f be z(-1). Let t be r(f). Suppose -5*g + o = -655, 0 = g + o - t*o - 131. Is g prime?
True
Suppose p + 2 = i, 0*i + 3*i + 5*p + 2 = 0. Suppose -i = -5*g + 29. Suppose -1805 + 707 = -g*a. Is a a prime number?
False
Suppose -3*r + 0*r = 4*p - 6169, 0 = -r - 3*p + 2063. Suppose 4*i = -r + 12367. Is i prime?
True
Suppose -5*w + 1 = -19. Suppose 5*l + 6 = -w. Is (-632)/12*3/l composite?
False
Let s(u) = 1127*u**2 - 38*u - 16. Is s(-5) prime?
True
Suppose 642059 = -42*k + 2033393. Is k a prime number?
False
Is (-57)/(-171) - 234020/(-3) a composite number?
False
Is (-6)/4*2174/(-3) a composite number?
False
Let p(c) = -c**3 + 3*c**2 + 2*c - 6. Let l(k) = 10*k**3 - 2*k**2 + 3*k - 2. Let i be l(1). Let h be p(i). Is h/(-4)*88/12 a composite number?
True
Suppose 0 = 5*v - 14 + 4. Suppose 2*j + 143 + 636 = 3*c, -v*j = c - 273. Is c a prime number?
True
Suppose 5*u - 2*u - 48 = 0. Suppose 13*l - u*l = 333. Let r = 157 + l. Is r a composite number?
True
Suppose 2288 = 5*n - 2*y - 2209, 0 = 2*n + 2*y - 1810. Is n prime?
False
Let t(b) = b**3 - b**2 + 8*b + 2. Let q be ((-200)/(-30))/(4/6). Is t(q) composite?
True
Suppose -m = 4*u + 1675, u + 16 = -3*m - 411. Let v = u + 629. Is v a prime number?
True
Suppose 5*n - s = 1480467, -n = -s - 311298 + 15203. Is n a composite number?
True
Let p = -11328 + 44667. Is p prime?
False
Let o = 212 + -458. Let x = o + 460. Suppose -4*b - h + x = 0, -30 - 188 = -4*b - 3*h. Is b prime?
True
Let p be 6/(18/15) + -3. Is 7500/132 + p/11 prime?
False
Let u = 3905 - 205. Let t = u + -2157. Is t prime?
True
Suppose 21711 = -3*q + 8*q + 4*u, 2*u = -5*q + 21713. Suppose i + 7*t - 2*t = 856, -4*t = 5*i - q. Is i prime?
False
Let p(r) = r - 6. Let o be p(0). Let b be o/(-21) - (-6)/(-21). Suppose b = -n + 33 + 112. Is n composite?
True
Suppose 101460 = l - 5*b, -3*b + 507752 - 101797 = 4*l. Is l a composite number?
True
Suppose 4*q - 56 = -3*q. Let v be q/12*3 - 2. Suppose 4*b = -v*b + 1876. Is b a composite number?
True
Suppose -80 = -27*x + 7*x. Let f(o) = -2*o - 2 - 2*o**2 - 2*o - o**2 + 2*o**3. Is f(x) composite?
True
Let b(i) = 78*i**2 - 2*i - 4. Let o be b(3). Let p = 328 - o. Let g = 657 + p. Is g composite?
False
Suppose -4*y + 1313 = -14011. Is y a composite number?
True
Let f(j) = -181*j + 17. Let s be f(-19). Let y = s + -1321. Suppose 11*r = 16*r - y. Is r composite?
True
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