
Let x(p) be the third derivative of 1/10*p**5 - 11/6*p**3 + 23*p**2 - 1/30*p**6 + 1/4*p**4 + 0*p + 0. Is x(-4) a composite number?
False
Is (6*778191/9)/(-5 - -7) prime?
True
Suppose 0 = -36*t + 3973270 - 882922. Is t a composite number?
False
Let q(g) = -g**3 - 30*g**2 - 32*g - 182. Is q(-35) a prime number?
False
Let y = 10 - 8. Let k = -33 + 35. Suppose -y*f = -3*g - 158, 3*f = k*f + g + 81. Is f a prime number?
False
Let j = -49 - -59. Suppose j*f - 11*f + 557 = 0. Is f a prime number?
True
Suppose 35468 = j + s + 2180, j - 5*s - 33282 = 0. Is j a prime number?
True
Let y(w) = -55*w**3 + 5*w**2 + 8*w - 10. Let o(l) = 2*l**3 + l**2 + 2*l + 1. Let h(x) = -5*o(x) + y(x). Is h(-4) a composite number?
False
Let t(n) = -2*n + 0*n - 26 - 3*n. Let j be t(-6). Suppose 0 = -j*b - 5*x + 2482, 2*x = -5*b + 6*x + 3123. Is b prime?
False
Suppose -194*w = -23*w - 6149673. Is w composite?
False
Suppose 5*a - 5910 = 8*r - 6*r, -r = -5*a + 5915. Let q = a - 403. Is q a composite number?
True
Suppose v = 0, -7*v = -5*s - 2*v - 55. Is (s - 1088)*(1 + -2) prime?
False
Let r = -137500 + 446631. Is r composite?
False
Suppose 101*y - 553064 - 507592 = 463535. Is y a prime number?
True
Is 47755 - 5 - (3 + 10) composite?
False
Is (-569783 - 2)*(-4 + 3)/(0 + 1) composite?
True
Let g be 1/(9/108) - 9. Let h(v) = 625*v**3 + 2*v**2 - 3*v - 7. Is h(g) a prime number?
False
Let v(r) = -141753*r + 182. Is v(-1) composite?
True
Let w(b) = 7*b - 46. Let q = -36 - -43. Let z be w(q). Suppose -2*u + 3472 = 4*o, -z*o = u - 4*u - 2613. Is o composite?
True
Suppose 2*x = 6 + 2. Suppose -n + 2*p - 2 = -6*n, -2*p - x = 2*n. Is 3/n*3*862 - -2 prime?
True
Let p(c) = -24157*c**3 - 2*c - 4. Is p(-1) a composite number?
True
Suppose 5 = -i + 4*o, 2*o - 3*o = -3*i + 7. Let d = -13 + i. Is d/15 + (-1193)/(-3) prime?
True
Let d(w) = 8*w**3 - w**2 - w - 15. Let t be 3 + (-25)/5 + -6. Let f be d(t). Is f/(-11) + 16/88 a prime number?
True
Let b(d) = 2796*d**2 + 9*d - 401. Is b(10) a prime number?
False
Suppose 33*z - 47*z = 42. Is (z - -14969)/(20/10) a prime number?
False
Let b(c) = -52900*c - 1979. Is b(-4) prime?
True
Suppose 4*p = -4*v + 3353412, 8*p - 838337 = 7*p + 3*v. Is p composite?
False
Let c(i) = 77*i**3 + 21*i**2 - 78*i + 47. Is c(21) a prime number?
True
Let t(x) = x**3 - 4*x**2 - 5*x + 10. Let z be t(6). Let v be 3*(2 + -2 + z). Let l = v + -29. Is l a prime number?
True
Let n = 112 - 109. Suppose n*z = -z + 1916. Is z a prime number?
True
Let u = -1162 - -3386. Let l = -1157 + u. Is l a composite number?
True
Let b be 13 + (-3 - (-4 - 2) - -2). Is -2 + (b/(-3) - -3351) a composite number?
False
Is ((-5185)/1525)/(1/(-859135)) a composite number?
True
Suppose -3*o - 4*r - 38045 = 0, r = -3*o + 3*r - 38033. Let j = -15123 - -6715. Let c = j - o. Is c prime?
True
Suppose 0 = -113*a + 118*a + 7*m - 94230, 4*a = -m + 75361. Is a prime?
True
Suppose -11044 = 32*q - 54*q. Suppose -q*x + 488*x = -185290. Is x a composite number?
True
Let s(r) = 118*r - 11. Let p be s(2). Suppose 733 - p = 2*w. Is w a prime number?
False
Suppose 17 = -75*g - 583. Let x = 39 + -8. Let p = g + x. Is p composite?
False
Let j(f) = -3*f + 36. Let c = -101 - -111. Let n be j(c). Suppose -p - 4*l + 2499 = -n*l, 2*l + 12511 = 5*p. Is p a prime number?
True
Suppose 23*s - 305 = 408. Suppose 2*b = 3*w + 3289, -s*w = -28*w + 15. Is b composite?
False
Let t = 461 + -461. Suppose t = 177*j - 180*j + 19149. Is j a composite number?
True
Let l(a) = -a + 2. Let y be l(2). Suppose -8*t + 3*t + 21540 = y. Is (1 + 2/4)*t/18 a prime number?
True
Let n = 52174 - 28544. Suppose -10*g - n = -20*g. Is g composite?
True
Suppose 2*c - 411980 = 2*k, 17*c - 4*k = 16*c + 205987. Is c a prime number?
True
Let f(o) = o**2 - 4*o - 9. Suppose 2*c - 3 = 9. Let z be f(c). Suppose 0 = 2*r + 4*t - 280, 3*r - z*t - 432 = -5*t. Is r prime?
False
Let d(l) = -3*l**3 - 7*l**2 - 15. Let z(m) = 16*m**3 + 36*m**2 - m + 75. Let k(o) = -11*d(o) - 2*z(o). Let a be k(-5). Is ((-4)/a)/(-4 - (-2454)/615) prime?
False
Suppose 0 = 2*r - 3*z + 587, -6 = z + z. Let n be (r/4)/((3 - 2)/4). Is (n*3/(-12))/(3/6) composite?
False
Suppose 11*n + 37 = 37. Suppose n = -16*o - o + 94469. Is o prime?
True
Suppose 5*w - 3187 = 3*o, -3*o - 5*w = -2*w + 3171. Suppose h + 5*n - 1941 = 0, -3*h - 2*n + 5812 = 2*n. Let f = h + o. Is f composite?
False
Let x(u) = 112*u - 507. Let q be x(-36). Let o be (-3)/((-9)/3250)*-6. Let v = q - o. Is v composite?
True
Suppose 5*f - 3984 = 17*f. Let j = 303 - f. Is j prime?
False
Suppose -2*o + 49980 = -4*r, -2*o - 4*r + 1958 = -48014. Suppose -7*k = -5*k - o. Is k a composite number?
True
Let o = -7748 + 21913. Let w = o + -9598. Is w a prime number?
True
Let y be (288/60 - 4)*25/2. Suppose -y = -5*u, 4*u + 95511 = 4*b - 16973. Is b a prime number?
True
Let o = -38486 - -90210. Suppose -o = 3*v - 0*v - 4*s, -2*s = 10. Is v/(-8) + (1 - 2) a composite number?
True
Is (-12)/(-36)*3*15251 a composite number?
True
Suppose 8*v - 24*v - 31488 = 0. Let l = -1309 - v. Is l prime?
True
Suppose 6*j - 310*s + 306*s - 15773326 = 0, 4*j = 5*s + 10515546. Is j composite?
False
Is ((-1)/(-3))/(335/960915675) composite?
True
Let i be ((-17)/(85/10))/((-1)/(-3)). Is (-596)/i*(-30261)/(-154) a prime number?
False
Suppose 32*n = 10 + 54. Suppose 0 = 4*q + n*a - 12402, -5*q + 0*a = -2*a - 15480. Is q composite?
True
Let y(i) = 9 + 8*i + 10*i**2 - 93*i**3 + 12*i**2 - 24*i**2 + 7*i**2. Is y(-5) prime?
True
Let x be -1*(-12)/(-20) + (-269484)/(-15). Let y = x - 2780. Is y a prime number?
False
Let u(x) be the second derivative of x**3/6 + 479*x**2/2 - 93*x. Let l = -5 - -5. Is u(l) a prime number?
True
Suppose 3*i - 4576 = c, i + 2*i = 3*c + 4572. Let h = 3141 + i. Is h a prime number?
False
Let h = 779 + 1403. Let o = 3573 - 2298. Let w = h - o. Is w a composite number?
False
Suppose -8 = -5*n + 3*n, -3*o = 3*n - 36. Suppose -41*a + 12593 = o*a. Is a a prime number?
True
Suppose 16*p - 28 = 20. Suppose 5*a + 5*i = 70605, 0 = -2*a - p*i + 39176 - 10930. Is a composite?
True
Let g(j) = -j - 5. Suppose 0 = 4*n + 18 - 38. Suppose -5*l - 3*y - 31 = 14, n*y - 61 = 3*l. Is g(l) a prime number?
True
Let q = 18 - 55. Let p = q - -35. Is ((-15)/(-5) - -632)*p/(-5) a composite number?
True
Is (-111945)/(-25)*47 - -4 - 10/(-25) composite?
False
Let n(q) = 2*q**3 - 14*q**2 - 2*q + 15. Let u be n(7). Is 1*(1828 + -6)/(3 - u) prime?
True
Suppose -3*k - 108555 = -5*t - 5333, 2*t + 5*k = 41264. Suppose 7*y - t = -2211. Is y a composite number?
False
Let h(m) = 54229*m**2 + 62*m - 50. Is h(3) prime?
True
Let p be ((-36)/30)/(4/(-10)). Suppose -31 = -p*l + 3*a + 2, 4*l - 30 = -3*a. Suppose 436 + l = 5*h. Is h a prime number?
True
Is (1148478/15)/((-120)/(-300)) a prime number?
True
Let j = -6 - -10. Let d(u) = -u**2 + 10*u - 2. Let z be d(j). Suppose -z*w + 1017 = -13*w. Is w a prime number?
True
Let m(p) = -37*p - 78*p - 27*p + 32*p - 162 + 31. Is m(-6) a composite number?
True
Let f(c) = -9*c + 11. Let i be f(-3). Let v be 11/(i/(-39) + 1). Suppose -h + v = -782. Is h a prime number?
False
Suppose 1558 = 18*m - 1646. Let l = 213 + m. Is l composite?
True
Is (((-154422560)/(-100))/(-17) + 15)/(2/(-10)) prime?
True
Suppose 15 + 10 = 5*k, -q - 1 = k. Let s(r) = -9*r**3 + 8*r**2 + 4*r + 13. Let z be s(q). Suppose 0 = 8*o - 5307 - z. Is o a composite number?
False
Is 18388*(105/(-28) + 4) prime?
True
Suppose 4*v = -4, 3*l = -2*l - 5*v - 13635. Let t = 5059 + l. Is t composite?
False
Is (-12)/(-78) + (90067172/169 - -9) a prime number?
True
Suppose -4*q = 16, 4*w + 2*q = 37444 + 222960. Is w composite?
True
Suppose 0 = b - 9*h + 13*h - 2202, -2*b - h = -4439. Let u = -1111 + b. Is u prime?
False
Let f(n) = -445*n**2 - 7719*n - 9. Is f(-17) composite?
False
Suppose f + 5*a - 278170 = -86752, 5 = 5*a. Is f prime?
True
Let a(q) = -q + 2. Let b(d) = -1556*d + 47. Let j(o) = 5*a(o) - b(o). Is j(2) a composite number?
True
Suppose 8*d - 130 = 3*d. Let c = -24 + d. Is -20 + 20 - (-1166)/c prime?
False
Let g = -53259 + -46698. Let c = -42790 - g. Is c a composite number?
True
Let c(y) be the first derivative of -y**2 + 47/3*y**3 + 5 - 5*y. Is c(-4) a composite number?
True
Let d(v) = 5*v + 191. Let b be d(-37). Is (-20)/60 - (-35276)/b a composite number?
False
Let d(a) = 3*a**2