3). Suppose 3*s + 540 = 5*j, -2*j = 3*j + f*s - 570. Is j prime?
False
Let m be (-3)/(27/(-14596)) - 4/(-18). Is 4 + 0 + (-3)/((-6)/m) a prime number?
False
Let a = -1942 - -4455. Is a a prime number?
False
Suppose 0 = -f - 5*u + 1, 27 = 5*f + 2*u + u. Let z(w) = 6*w**3 - 6*w**2 + 8*w - 11. Is z(f) prime?
True
Let r be 8187/(-9) - (-2)/3. Let v = r + 1450. Is v composite?
False
Let l(b) be the second derivative of -5/6*b**3 + 0 + 3/4*b**4 - 7*b - 7/2*b**2. Is l(-4) a prime number?
True
Let m(z) = -2795*z - 67. Is m(-4) a prime number?
True
Suppose 4*d - 34 = -a, 5*a - 2 = 4*d - 3*d. Suppose -d*r + 4500 = -2612. Is r prime?
False
Let a = -91 + 86. Is a/10*2 - -1844 a composite number?
True
Let p = -4 - -6. Suppose p*c = c. Suppose -3*k - 2*u - 2*u + 353 = c, 2*k = 3*u + 224. Is k prime?
False
Suppose -1 - 21 = b. Let x = b + 59. Is x prime?
True
Suppose 2*i = 2*k - 0*i - 2328, -4*i = k - 1174. Suppose -j = -3*c - 2*c - 303, -4*j = 3*c - k. Is j composite?
False
Suppose -j = -5*s + 3765, 4*s - j = 4333 - 1320. Suppose -4*x - s = -12*x. Is x a composite number?
True
Let x(i) = -2*i**3 - 2*i - 1. Let z be x(-1). Let v = -208 + 473. Suppose -3*w = 5*n - w - v, z*n - 173 = -4*w. Is n composite?
True
Suppose 45072 = 4*c - 4*q, -5*q + q = 5*c - 56385. Is c composite?
False
Suppose -28 = -2*u - 10. Suppose u*k + 678 = 11*k. Let x = k + 78. Is x composite?
True
Suppose -773653 - 608426 = -19*o. Is o prime?
False
Let g = 4515 - 2542. Is g a prime number?
True
Suppose 5*s = 3764 + 50791. Is s composite?
True
Is 24 - 21 - (-2 + 1792/(-2)) a composite number?
True
Let m = 11 - 11. Suppose -b = -m*b + 2. Is (1/b)/((-1)/230) composite?
True
Is ((-234)/(-9))/((-2)/2521*-1) prime?
False
Suppose l - 414 = 5*p, 16 = -3*p - p. Let i = 715 - l. Is i a prime number?
False
Suppose 2089 + 9768 = -2*k + 3*l, -k - 5946 = 2*l. Let r = k - -8371. Is r prime?
False
Is (5/(5/8654))/2 a prime number?
True
Let j = 618 + 3823. Is j composite?
False
Let k(x) = -570*x - 27. Suppose -5*d - 5 = -5*r, 17*d = 14*d + r - 9. Is k(d) a composite number?
True
Suppose 25*t = 13*t + 9228. Is t composite?
False
Let t be 1282890/56 - 1/(-4). Let p = -3386 + t. Is p a composite number?
True
Suppose 5*r - 9447 + 2243 = m, -2*r + 2900 = -5*m. Let n = r + -763. Is n prime?
True
Let o be 97408/12 - (-2)/3. Is (-1)/(-1 + o/8121) a composite number?
False
Let z be (-3)/((-9)/84*2). Suppose -12*g - 8 = -z*g. Suppose -4*a = 3*i - 33 - 16, -3*i + g*a = -65. Is i a prime number?
True
Suppose 4*y - 23410 = -2*v, 5*v = 4*y - 13208 - 10209. Let c be (y/(-6))/((-2)/(-8)). Is c/(-18) + (-4)/(-18) a composite number?
True
Suppose n - 247 = -5*l, 3*n + 0*l = -5*l + 751. Is -1 + n - 0/(-6) a composite number?
False
Suppose -34*r = -33*r + h - 13097, 3*r + 4*h - 39295 = 0. Is r composite?
False
Suppose 64 + 20 = d. Is (d + -1)*3/(-5 - -8) a composite number?
False
Let r(o) = o - 4. Let u be r(4). Suppose 3*p - 5*n = -3*n + 4913, -4*n - 4 = u. Is p a prime number?
True
Suppose 16*o - 2*o = -868. Let w = o + 1485. Is w a prime number?
True
Let p = 793 + -252. Is p prime?
True
Let t(x) = -10*x**3 - 12*x**2 - 31*x - 84. Is t(-13) a composite number?
False
Suppose -147796 = 99*g - 103*g + 5*d, 0 = 5*g - 4*d - 184745. Is g a composite number?
True
Let s be -2*(-15)/10 - 1. Suppose 0 = s*h + 5*o - 644, -941 = -h - 2*h + 5*o. Is h a prime number?
True
Let h(w) = -2*w**3 + 2*w**2 + 8*w + 12. Let a be h(8). Let n = -81 - a. Is n a composite number?
False
Let g(i) = -6*i**3 - 11*i**2 - 4*i + 2. Is g(-9) a composite number?
True
Suppose -y - 1268 = -5*y. Let v = y + -220. Suppose -6*q + v = -5*q. Is q prime?
True
Suppose 0 = 6*h - 4804 - 9890. Is h a prime number?
False
Let k = -432 - -6865. Let f = k + -4059. Is f composite?
True
Suppose 3*k + k = -8. Is (41/k)/(1/(-14)) a prime number?
False
Let d = 201 + 94. Is d a composite number?
True
Let v be (8/12)/(2/24). Suppose -3*a = 4*b + 20, v*b + 24 = 4*b - 4*a. Is ((-58)/3)/(b/6) composite?
True
Suppose -x - 3*b = 3*x - 19, x - 2*b = 13. Let u(p) = 2*p - 1. Let f(y) = 30*y + 10. Let h(m) = f(m) - 2*u(m). Is h(x) a composite number?
True
Let y(w) = w + 7. Suppose 4*s + 12 + 4 = 0. Let a be y(s). Suppose -23 = -f + a*p, -2*f + 5*p = -48 + 5. Is f composite?
True
Suppose -3 = 3*t - 4*t. Let z(k) = -k**3 + 7*k**2 - k + 9. Let f be z(7). Is f*t/((-18)/(-147)) a composite number?
True
Let a = 117 - -556. Is a prime?
True
Suppose -176291 = -15*n + 38254. Is n a composite number?
False
Is 0 - ((-19582)/10 - 36/45) composite?
True
Suppose -583 = -5*h - 3*t, 3*h = -4*t + 404 - 63. Is h prime?
False
Let x = 182 - 112. Let h = 255 - x. Is h composite?
True
Suppose 5*l - 3460 = -0*j - 5*j, 0 = l - 3*j - 672. Let a = 794 + l. Is a a composite number?
False
Let m be 20/15 + (-16)/12. Let v(r) be the third derivative of r**5/60 + 493*r**3/6 - 8*r**2. Is v(m) prime?
False
Let s = 7 + -7. Suppose s = 3*k - 4*w - 534, w = -2*w. Suppose 0 = j + j - k. Is j a composite number?
False
Suppose -15*l + 21*l = 762. Is l prime?
True
Suppose -157909 = -4323*g + 4304*g. Is g prime?
True
Let h = -5818 - -11331. Is h a composite number?
True
Let h = -1 - -3. Suppose 5*b = -3*s + 320, 66 = 2*b - 2*s - 62. Is (4 - 3) + b + h a composite number?
False
Let a = -68 + 123. Let s = a - -2. Is s composite?
True
Let w(o) = -6343*o + 276. Is w(-9) a composite number?
True
Let q be ((-21)/(-12))/(1/8). Suppose 3*c + q = f - 2, -f = -2*c - 10. Is -26*(0 + 9/c) a prime number?
False
Suppose -11*v = 104179 - 438150. Is v prime?
False
Suppose -41*w - 26581 = -60*w. Is w composite?
False
Let v(q) = -q + 5. Let y be v(3). Suppose 3*n = -0*n + 4*p, 3*p = y*n. Suppose m = -n*m + 631. Is m a composite number?
False
Let s(p) = -19*p**3 + p**2 + 2*p + 1. Let y be s(-1). Suppose 5725 = 24*g - y*g. Is g a composite number?
True
Suppose 2*o - 1059 = o + 5*u, -4*o - 4*u + 4188 = 0. Is o prime?
True
Let i be (-8 - -13)*12/(-10). Let f be ((-4)/i)/(10/45). Suppose -2*z + 435 = f*z. Is z a composite number?
True
Let f(i) = -i**3 + 29*i**2 - 12*i + 35. Is f(-21) composite?
True
Let p(j) = -140*j - 5. Suppose 5*x = -3*r - 45, -2*x + 3*r + 13 = -2*r. Is p(x) prime?
False
Suppose 0 = 2*z - 5*f + 15, 10 = -3*z + 3*f + 2*f. Suppose -z*x + 0*x = -10. Is (-43136)/(-48) + x/6 composite?
True
Let t(v) = 43*v**2 - 21*v + 28. Is t(-22) prime?
False
Suppose 0 = 5*k + 37*k - 915054. Is k prime?
True
Is (-65840)/(-104) + 2/(-26) prime?
False
Let d(a) = -3*a**3 - 3*a**2 - 6*a - 26. Let f(w) = -w**3 - w**2 - 2*w - 9. Let o(v) = -4*d(v) + 11*f(v). Let p be o(0). Is 128/p - 6/(-15) composite?
True
Suppose -n - 5 = 0, 0*t - 4*t + 3587 = -3*n. Is t a composite number?
True
Suppose 0 = 2*t + t - 5*c - 22, 0 = -5*t - 2*c + 16. Suppose w - 17 = 2*z, 5*w - 98 = -t*z + 57. Is 2/(-6) + 306/w a prime number?
True
Let v(h) = h - 1. Let d be v(3). Let k be (3 - (1 + d))/(-2). Suppose -c + 4*o + 725 - 48 = k, c - 3*o = 677. Is c composite?
False
Suppose -5826 = -2*d + 5*l, 4*l = -3*d + 828 + 7865. Is d composite?
False
Let m be 219/(-9) - (-4)/12. Let h = m + 26. Suppose -626 = -h*p - 3*w, -w + 0*w + 4 = 0. Is p a prime number?
True
Let f = 8202 - 4941. Is f composite?
True
Let y be (2674/42 + 14)*-5*6. Let d(o) = o**3 + 5*o**2 + 3*o - 5. Let u be d(-5). Is (2 - 0)/(u/y) a composite number?
False
Let q = 20 + 97. Suppose 0 = 2*n - q + 1671. Is ((-1)/(-3))/((-1)/n) a prime number?
False
Let c be (-4)/8*(-2 + 2). Suppose c*b + b = 5*y + 16, y = -2. Suppose 4*t + h = b*h + 2221, -t + 562 = h. Is t composite?
True
Let m = -12 - -27. Suppose 6*u - 5*u - 5*z = 30, -m = -2*u - 5*z. Suppose u = l - 8. Is l prime?
True
Suppose 2462 = -y - w, 2*y + 1705 + 3219 = 2*w. Let k be y/(-8) + 2/8. Suppose 3*c + 0*c - k = -4*l, 231 = 3*l + 2*c. Is l a prime number?
False
Let n(p) = 3 + 6 + 2 + 26*p**2 - 3*p - 3*p. Is n(5) prime?
True
Let c(i) be the first derivative of 37*i**3/3 + 3*i**2 + 2*i - 4. Is c(3) composite?
False
Let w be (-95)/(-60)*2649 - (-6)/8. Suppose -3*o + 8*o - w = 0. Is o a composite number?
False
Suppose 6*n = 10*n - 8. Suppose -n*w - 4*j = j - 57, 0 = 4*w + 2*j - 122. Let c = 48 + w. Is c prime?
True
Suppose 2*i - 3 = a + 4*a, -3*a - 2*i - 5 = 0. Is a/(-4) - (-40260)/48 a prime number?
True
Suppose -12*l = -7*l - 9885. Is l a prime number?
False
Suppose c