
False
Suppose 2*f - 3456446 = 3*m, -5*f - 7*m + 4*m = -8641157. Is f a prime number?
True
Is 2/(1*2)*((-1760808)/(-12) - -9) prime?
True
Let f(q) = 30863*q**2 - 543*q + 543. Is f(1) a composite number?
True
Let n be 3/2*(-6 + 4 - -6). Let o be ((-3)/(n/1364))/(-2). Suppose -31*m + 30*m + o = 0. Is m composite?
True
Let c(o) = 34676*o**3 + 3*o**2 - 3*o + 1. Let u be c(1). Is (-4)/((-24)/u) + (-6)/12 a composite number?
False
Let t = -425691 - -243072. Let j(o) = o**3 + 10*o**2 - 25*o - 38. Let c be j(-12). Is t/(-117) + (-4)/c a prime number?
False
Suppose -3*z = 3*j - 131658, 26*j = 5*z + 21*j - 219460. Is z prime?
True
Let g(p) be the first derivative of -p**4/4 + 7*p**3/3 + 5*p**2 - 21*p - 4. Let o be g(-9). Suppose 4*f - 5*q - 1781 = 0, 2*q - o = -2*f - 317. Is f composite?
False
Let p be ((-3)/1)/3 - 2. Let d be 2 + 2 + (5 - (1 - p)). Suppose -d*v = n - 4*n + 4590, 6146 = 4*n + 2*v. Is n a composite number?
True
Suppose 112543 = 4*b - 117133. Is b a composite number?
True
Let f = 33955 + 12526. Is f composite?
True
Suppose 4*s + 39 = -585. Let c = 64 + -381. Let a = s - c. Is a prime?
False
Suppose x = 9 - 5. Suppose 0 = -x*p - 0*p - 24. Let o(r) = -3*r**3 - 10*r**2 - 10*r - 11. Is o(p) prime?
True
Let b(x) = -5 - 2 - 9*x + 239*x - 1. Let g be b(3). Suppose 5*q = s - g + 62, s = q + 632. Is s a prime number?
False
Let y(b) = 55*b**3 + 7*b**2 - 3*b + 93. Is y(10) composite?
False
Let j(r) = 353*r**2 + 2*r + 2. Let i be 12/(-3)*(-8)/4. Let t = i + -9. Is j(t) composite?
False
Let k(u) = -2*u**2 + 6*u + 939. Suppose 0 = z - 9*z. Let s be k(z). Suppose 3*o + s = 5*o - d, 0 = 2*o + 4*d - 934. Is o a composite number?
True
Suppose -2603090 = -2*k - 39*k. Suppose -4*f - 5*l + 6*l = -50799, 0 = 5*f - 3*l - k. Is f prime?
False
Suppose 16*r = 48*r + 9017663 - 101724447. Is r prime?
True
Let x(b) = 10*b**2 + 113*b + 107. Is x(50) prime?
True
Let f(r) = 11*r**2 - 22*r - 10. Is f(-7) prime?
True
Let p(s) = 30494*s - 9563. Is p(8) a composite number?
True
Suppose -343*b - 227649 = -350*b + 1377325. Is b composite?
True
Let g(l) = -42*l - 1. Let d(s) = -s**2 - s + 16. Let i be d(-4). Suppose -25 - 15 = i*w. Is g(w) composite?
False
Let s be 130/14 + 4 + 2/(-7). Suppose 4*a = -3*l + 5*a + s, 3 = l + a. Suppose -2078 = -0*k - 2*k + 4*m, -4186 = -l*k + 2*m. Is k a prime number?
True
Is 30050/125*8/(64/15740) prime?
False
Let f(k) = 29 + 30 - k - 64 + 581*k**2. Is f(-3) a composite number?
False
Suppose -79*y - 322027 + 3262170 = 0. Is y prime?
True
Is (-543570)/18*((-432)/45 + 3) prime?
False
Suppose h - 1 = 0, 4*h + 11705 + 7412 = r. Is r a composite number?
False
Suppose 0 = -49*x - 5759532 + 25619281. Is x a composite number?
True
Is -2 - (-11)/1 - (8 + -14668) a composite number?
False
Suppose -12*i = -4*i - 1048. Suppose -b = -0*b + c + 47, 3*b + 5*c = -i. Let k = b + 201. Is k prime?
True
Let p be 0 + (1 - 2) + 7. Let u be p/15 + 4/(-10). Suppose -15*x + 4*x + 2321 = u. Is x composite?
False
Suppose -36*u + 1760 = 392. Suppose u*x - 47*x + 6021 = 0. Is x composite?
True
Suppose 2421419 + 3292343 = 74*h. Is h composite?
False
Let f = 13281 - 6668. Is f composite?
True
Suppose -4*t + 11*r - 6*r = -140271, -2*t - r = -70139. Is t a prime number?
True
Suppose 0 = -2*d + 2*h + 244360, -2*d + 11*h = 15*h - 244354. Is d prime?
False
Let t(h) = 327*h**2 - 8*h + 1. Let v be t(-8). Suppose 10*x = 3*x + v. Is x a composite number?
False
Suppose -2*d - 2*k + 44914 = 0, -44*d + 42*d - 4*k + 44898 = 0. Is d composite?
True
Let b be 17/17 - (-2 - (-22347)/(-3)). Let h = b + -4085. Is (3 + -2)*(h - (0 - -2)) a composite number?
True
Suppose -1682 = -2*a + 4*n + 1432, a - 4*n = 1551. Let c = 7486 - a. Is c a composite number?
False
Let i(u) = -17221*u**3 - 2*u**2 - 4*u - 2. Is i(-1) a prime number?
False
Let t(o) = -7*o**3 + 24*o + 3. Let i(m) = m**3 - 2*m**2 - m + 1. Let l(y) = 6*i(y) + t(y). Is l(-16) composite?
True
Let r = -348709 + 507246. Is r prime?
True
Suppose 11*w = -5 + 27. Suppose 7032 = w*q + 2180. Is q a composite number?
True
Let l(g) be the second derivative of 7*g**4/4 - 5*g**3/2 + 11*g**2/2 + 6*g. Suppose 5*d = -3*d + 48. Is l(d) a composite number?
False
Suppose -8*i + 21 = -35. Let n(f) = 38*f**2 - 4*f + 2. Let p be n(3). Suppose -p = 3*m - i*m. Is m composite?
False
Let a(x) = -4*x**3 - 16*x**2 + 24*x - 28. Let b be a(-9). Let h = b - 282. Is h a composite number?
True
Let t(q) = -47*q**3 - 23*q**2 - 17*q - 27. Let c = 356 + -366. Is t(c) composite?
False
Let f(x) = x**3 + 8*x**2 - 8*x + 11. Let t be f(-9). Let r be t/(-5)*(39 - -12566). Let g = r + 7561. Is g a composite number?
True
Let y = -8 - -3. Let j be 2/(-5) - 50304/(-60). Is -1*j/4*(y - -3) prime?
True
Let c be 1 + -4 + 7/1. Let k(o) = -3 - 20*o + c*o - 2. Is k(-6) a prime number?
False
Let y(i) be the second derivative of 877*i**3/3 - 15*i**2/2 + 16*i. Let q be y(4). Suppose 4*a + 2037 = q. Is a composite?
True
Suppose -1950 = 19*g - 24*g. Suppose -5*q - 2*v + 3175 = 0, 5*v + 2930 = 4*q + g. Is q prime?
False
Let r = 2863 + -962. Let f be ((-2)/(-4))/(7/((-506044)/(-11))). Let v = f - r. Is v a composite number?
True
Is 967*(570 - (9 + 14)) prime?
False
Suppose -2*j - 4*d - 8 = 10, -4*j - 20 = 4*d. Suppose -5*r = -r + 3516. Is (j - 3)/4*r/3 prime?
True
Suppose 5*f - 2*f - 5*a + 10 = 0, -2*f - 5 = -3*a. Let t = -12 + 14. Suppose t*x - 82 = -3*s + s, f*x - 94 = -2*s. Is s a prime number?
True
Let t(w) = 10*w**2 + 21*w + 12. Let u be t(-15). Suppose -3*b + 3*h = -u, 5*h - 10 - 1937 = -3*b. Is b prime?
False
Let i = -51 - -3. Let r = i - -54. Let p(h) = 127*h - 17. Is p(r) a prime number?
False
Suppose -75*m + 18 = -72*m. Suppose 98882 - 3020 = m*p. Is p a prime number?
False
Let d be 5024/(-72) - (-4)/(-18). Let x = 70 + d. Suppose x = 5*w + 4*w - 13329. Is w composite?
False
Let b = 1341 - 1341. Let x be 2 - (0 + 12/(-2)). Suppose x*k - 2*k - 16602 = b. Is k a prime number?
True
Suppose 3*m = -i + 20694, 10*m = 5*m - 2*i + 34489. Is m a composite number?
False
Suppose u - x = -8, -3*x = -u - 6*x + 4. Let i be (u - 730/(-2)) + (0 - 0). Let c = -137 + i. Is c composite?
False
Is (-11 + (-1249524)/30)*20/(-4) prime?
True
Suppose 6*o - 4 = 2*o, -5*b + 4*o = 659. Let z be (4 - 26)*-6*(-30)/18. Let u = b - z. Is u prime?
True
Suppose -3*j - 1009244 = -3694625. Is j a prime number?
True
Let q(a) = a**3 + 49*a**2 + 31*a + 262. Is q(-29) a composite number?
False
Suppose 0 = 130*l - 132*l + 2*j + 862264, 5*j - 45 = 0. Is l composite?
False
Let a(x) = -364*x + 24. Let u(c) = -3*c - 1. Let n(z) = a(z) + 3*u(z). Is n(-2) prime?
False
Let r(t) = 348*t**2 + 21*t + 18. Let v(y) = 1044*y**2 + 64*y + 54. Let z(q) = 7*r(q) - 2*v(q). Is z(-1) prime?
True
Let c be (-54)/270 + ((-729)/5 - 0). Let r = c + 132. Let m(s) = -9*s + 61. Is m(r) a prime number?
False
Let f(u) = -69*u**3 - 3*u**2 - 3*u - 2. Let v be f(-4). Suppose r - 2*p - 2154 = -7*p, 2*r - 4*p - v = 0. Is r a prime number?
True
Let d(m) = -m**3 - 75*m**2 - 391*m + 22. Is d(-75) a prime number?
True
Suppose 167223 = j + 5*x, -5*x + 323255 + 512820 = 5*j. Is j a prime number?
True
Suppose 17*m = 47*m - 59070. Is m composite?
True
Let w = 37183 + -35684. Is w prime?
True
Let t(h) = 2*h + 72*h**2 + 7 + 14 - 39 - 10*h + 15. Let u(w) = w**2 + 5*w + 4. Let a be u(-5). Is t(a) a composite number?
False
Let f(a) = a**2 - 1. Let h be f(6). Let b = -43 + h. Is (3 + 70/(-8))*b prime?
False
Let y(b) = 435*b - 159. Let o = 202 + -168. Is y(o) prime?
False
Let o(j) = -9*j**3 + j**2 + j. Let y(x) = 46*x**3 - 6*x**2 - 6*x. Let t(k) = 11*o(k) + 2*y(k). Let r be t(-1). Suppose r*i = -0*i + 3395. Is i a prime number?
False
Is 6/8*144/36*(-52959)/(-9) a composite number?
True
Let m = 631 + -633. Let x(u) = -3078*u - 37. Is x(m) a composite number?
True
Suppose -99370 + 583973 = 14*s - 256711. Is s a composite number?
False
Suppose 9 = 4*d - 7*d, -4*j - d - 41007 = 0. Let k = -5340 - j. Is k a composite number?
True
Let z = 30 + -9. Let w(d) = -d**3 + 20*d**2 + 21*d + 21. Let o be w(z). Is (7973/o - 0) + 4/(-6) prime?
True
Let r(j) be the first derivative of j**4/4 + 2*j**3/3 + 4*j + 9. Let f be r(-2). Suppose 1912 = f*g + 3*l + 2*l, -4*g = 4*l - 1908. Is g composite?
True
Let t(z) = -2*z**3 - 11*z**2 - 11*z - 28. Let x be t(-5). Suppose 4*c = -2*h + 3284, -x*c 