True
Let j = 43161 - 18758. Is j a composite number?
True
Let r(s) = -688*s**3 - 3*s**2 + 17*s + 49. Is r(-5) prime?
True
Suppose 22 + 22 = -4*y. Let h(o) = -o - 11. Let i be h(y). Suppose i = 5*z - 3*z - 106. Is z prime?
True
Let i be 4 - (-5 - -1702)*-1. Is 0 + 4/8 - i/(-2) composite?
True
Is 1182/9*(-1032)/(-16) a prime number?
False
Let o(x) = -x**3 - x**2 - x. Let q be o(-1). Let u be q/1 + (1 - 7). Let a = u - -100. Is a a composite number?
True
Let c be -3 + 0 + 464 - -4. Suppose -4*x + 427 = -c. Suppose -y - 2*g - 2*g = -x, 0 = 3*g - 9. Is y composite?
False
Let p = 51 + -46. Suppose -4*c + 751 + 598 = p*k, 4*k - 1013 = -3*c. Is c a composite number?
False
Let o(l) = -5*l**2 + 3*l - 3. Let h be o(1). Is h/20 + ((-45465)/(-12))/7 a composite number?
False
Let j(i) = -i**2 + 6*i + 5. Let x be j(6). Let h = 724 + -323. Suppose -1634 = -4*z + 5*u, -x*u - h = 3*z - 4*z. Is z a prime number?
False
Let p(m) = 9 + 20 + 10*m + 2*m**2 - 4. Is p(11) prime?
False
Let m = -65 + 100. Suppose -m*a = -37*a + 238. Is a a prime number?
False
Suppose -5*f = -5*v + 4*v + 29049, -2*v = -f - 58116. Is v a composite number?
False
Suppose 4*d + 5*m + 9 + 15 = 0, -8 = 4*d + m. Let i = 3 - d. Suppose -5*y + 4*k = -549, k + 448 = i*y - 0*y. Is y composite?
False
Let j(x) be the first derivative of 20*x**4 + x**3 - 2*x**2 + 3*x + 18. Is j(2) a prime number?
True
Let o = 48689 + -21622. Is o a prime number?
True
Let k(h) = 41*h**2 + 8*h - 14. Let z be (0 + 5)/(35/21). Is k(z) a prime number?
True
Suppose -14*y = -24*y + 9070. Is y prime?
True
Suppose -v - 4*v = 0. Let u(m) = -m + 72 + 18 - 11. Is u(v) composite?
False
Let r(y) = 2*y + 17. Let k(l) = -l**3 - 3*l**2 + 2*l + 5. Let o be k(-4). Is r(o) a composite number?
False
Suppose -11000 = -5*s + 4815. Is s composite?
False
Let i(k) = -4*k - 2. Let a be i(-2). Is 9/(189/10444) + (-2)/a a composite number?
True
Let r(z) be the first derivative of z**3/3 + 127*z - 13. Is r(0) a composite number?
False
Let r be 4/((-4)/(4*-1)). Suppose -8 = -r*u - 0*u. Suppose 0 = u*w - 4 - 16. Is w a composite number?
True
Suppose 0 = -2*f + 3*p + 4971 - 248, 0 = -4*f - 5*p + 9413. Suppose -n + 6*b = 4*b - f, 5*b = -n + 2357. Is n prime?
True
Let p(t) = t**2 + 11*t - 25. Let v be p(-12). Let z(c) = 3*c**2 - 18*c - 2. Is z(v) prime?
True
Let l(y) = -y**3 - 16*y**2 - 29*y - 19. Is l(-16) a prime number?
False
Suppose -b = 3*f - 20467, 3*b = 2*f - 0*f + 61423. Is b a composite number?
True
Suppose 2*y + 12 = -4*g, 3*g + 9 = -y - 3*y. Is y + (1 + 634)/5 a prime number?
True
Let p be (-8)/(-2) + (-1683)/(-3). Let c = 1352 - p. Is c a composite number?
False
Let o(k) = k**2 - 13*k - 9. Let x be o(14). Suppose -3*z + 593 = x*l, -398 = -2*z - 0*z - 4*l. Is z prime?
True
Let i be (-2)/4 - (-28671)/6. Suppose -2*k - 1545 - 3221 = 5*n, 5*n - 4*k + i = 0. Is (-4)/10 - n/10 a composite number?
True
Let z(v) = 149*v**2 + 2*v + 2. Let a be z(3). Let w = a + 46. Suppose 5*m = -g + 1698, 0 = 4*g - 5*m + w - 8062. Is g prime?
False
Let k(h) = h**3 + 12*h**2 - 29*h - 12. Let c be k(-14). Suppose 4*v - 2*l - 13081 = l, 0 = c*v - 5*l - 6537. Is v a prime number?
True
Suppose 4*f - 39 = g + 12, 0 = f + 3*g - 3. Let y = f + -10. Suppose -4*n + 3*c = -18, y*n - c - 6 = 2*c. Is n composite?
True
Let d(t) = -6*t**2 - t**2 + 62*t**3 + 2 + 2*t + 5*t**2 - 3*t**2. Let i be d(3). Suppose 0 = -3*l + i - 500. Is l composite?
False
Suppose 0 = -12*y - 12*y + 222312. Is y prime?
False
Suppose -1724*s + 1720*s + 5044 = 0. Is s a prime number?
False
Is (1687/28)/(((-9)/(-852))/3) prime?
False
Is -4 + -2 - (-3550 + (-4 - 3)) prime?
False
Suppose -3*r = 0, -5*t + 2*r - 5702 = -26587. Is t a composite number?
False
Suppose 3*g - 7 = -i + 2*i, -2*g - 4 = -5*i. Suppose 62 = i*o + 6. Suppose 0 = m + o - 93. Is m prime?
False
Suppose 8*a - 6 = 6*a. Suppose 0 = -n + 2*n + a*h - 192, 2*n - 399 = -h. Is n a composite number?
True
Suppose 14*k = 9*k + 90240. Suppose -k + 55816 = 8*f. Is f prime?
True
Suppose -24 = -92*z + 88*z. Suppose -z*c = -c - 995. Is c composite?
False
Suppose p = -4 + 8. Suppose -h + p = -0, 5*o - 3*h - 17233 = 0. Is o a composite number?
False
Let y = -29 + 21. Let h(x) = 4*x**2 - 20*x - 11. Let v be h(y). Let m = 80 + v. Is m a composite number?
True
Let w be 1832/(-6) + (-2)/3. Let k(a) = -49*a + 27. Let z be k(-10). Let t = w + z. Is t composite?
False
Let r(q) = q**2 + 4*q - 8. Suppose y = 4 + 7. Let z = 2 - y. Is r(z) a composite number?
False
Let q(m) = -m**3 - 3*m**2 + m + 1578. Let s be q(0). Suppose 26*i + s = 32*i. Is i a prime number?
True
Let a(z) = z**3 + 25*z**2 - 11*z + 43. Let t be a(-26). Suppose 0*d + d = 728. Let y = t + d. Is y a composite number?
True
Let y(z) = 27*z**2 + z - 22. Let r be y(-6). Suppose -5*v = -r - 1491. Is v a composite number?
False
Suppose -234*r = -228*r - 96774. Is r composite?
True
Let d = 8 - -90. Let j be 3 + (d - -1)/3. Suppose -272 = -4*f - j. Is f a prime number?
True
Let b = -3913 - -5690. Is b a composite number?
False
Let w(f) = 163*f + 17. Let z be w(8). Suppose -4*y = p - z, p - 514 = -3*y + 478. Is y prime?
False
Let m be (1 + -2)/(-10 + 9). Let i be (16 - 12)*m*-2. Is (-6)/i*4 + 124 a composite number?
False
Suppose -11567 = -5*m + 3*w + 16502, 2*w = -m + 5619. Is m prime?
False
Suppose -r - 1983 = -4*r. Let c = r + 64. Suppose 5*g - c = -5*u, g = 4*u - 3*g - 612. Is u prime?
True
Suppose 16 = -l + 5*l. Suppose -v + 2*g + 966 = l*v, g - 778 = -4*v. Is v a prime number?
False
Let i(m) = 352*m + 18. Let z be i(4). Suppose -3*n + 1601 = -z. Is n composite?
False
Let r(u) = 212*u**2 - 10*u - 5. Is r(7) composite?
False
Let k(m) = -m**2 + 5*m. Let y be k(4). Let w = 7 - y. Suppose -w*z = 2*z - 955. Is z prime?
True
Suppose 5*m - 9 + 4 = -2*n, 4*m = -2*n + 2. Let z(b) = b + 4. Let s be z(n). Is s*(-118)/(-4)*-2 composite?
False
Let a be 0/(-1 - (-3 + 1)). Let m = 8 - a. Is ((-174)/m)/(6/(-16)) prime?
False
Suppose 22*f + 6*f - 9865268 = 0. Is f a prime number?
False
Let x(g) = 2*g**2 + 7*g + 8. Suppose 0 = 4*q + 3 + 65. Is x(q) a composite number?
False
Suppose 5*x + r - 194763 = 0, -4*x - 3*r + 155804 = r. Is x prime?
True
Let c = -17 - -22. Is (-1759)/(c/(-5) + 0) a composite number?
False
Let g be 0/(-1 - -1 - 1). Suppose -5*y + 100 = -2*h, -4*h - 2*y + g*y = 176. Let b = h - -124. Is b a composite number?
False
Let x be -1 + 9/(-3) - -331. Suppose 12*t - 657 = x. Is t a prime number?
False
Let i be (176/(-40))/((-2)/5). Let b(p) = 54*p + 41. Is b(i) a composite number?
True
Let o(m) = -2*m - 6. Let k(g) = -g - 3. Let s(z) = 13*k(z) - 6*o(z). Let d be s(7). Is (d/(-8))/((-9)/(-72)) a composite number?
True
Suppose -4*b + b + 15 = 0, 5*m + 1550 = b. Let k be 1*(-7)/(7/m). Suppose -3*c - 32 = r - k, 4*c = -5*r + 1341. Is r composite?
True
Is (-314)/1099 - (-101355)/7 a prime number?
True
Let p = 0 + 8. Let j be (1/(-2))/(p/(-96)). Suppose s - j*s = -635. Is s prime?
True
Let d = 18 - 16. Suppose r - y - 195 = 0, -r + 772 = 3*r - d*y. Is r composite?
False
Suppose 3324 = 15*t - 15951. Is t composite?
True
Let i be (42/35)/((-6)/(-15)). Is i/(18/4)*8970/20 composite?
True
Let m(n) = -111*n - 184. Is m(-15) prime?
True
Let t(i) = -2*i**3 + 2*i**2 + i - 1. Let r be t(-1). Suppose 2*m - 18 = 2*w, 2*w = -r*w - 5*m + 9. Let y(o) = 2*o**2 + 3*o - 1. Is y(w) a prime number?
True
Let n = -10350 + 17129. Is n a prime number?
True
Let y(d) = -127*d - 80. Suppose -23*s - 349 = 88. Is y(s) a prime number?
True
Suppose -105*o + 99*o + 27366 = 0. Is o a composite number?
False
Let z(q) = -16*q + 362 - q + 2*q - 359 + 8*q**2. Is z(10) composite?
False
Let x(y) be the third derivative of y**7/840 - y**6/90 - 7*y**5/60 - y**4/6 - 2*y**2. Let g(w) be the second derivative of x(w). Is g(15) composite?
False
Suppose -6160 = -4*n + 19036. Is n a prime number?
True
Suppose -4*f + x = 134, -2 - 2 = -2*x. Let h = -4403 - -2005. Is f/44 + h/(-8) a composite number?
True
Let k(c) = 14*c**2 + 13*c - 13. Is k(4) a composite number?
False
Let c = -3 - -7. Suppose -2*j + c = -14. Is j prime?
False
Let m = 26876 + -10761. Is m/121 + 4/(-22) a composite number?
True
Suppose -4*d + 150470 = -3*q - 83088, -q + 175175 = 3*d. Is d a prime number?
True
Suppose 0 = -2*l - 3*k + 19220, -3*l - 6*k + 28829 = -k. Is l a prime number?
True
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