 Is 2782/c + ((-27)/6)/9 composite?
True
Let z = -20 + 15. Let j(n) = n**3 + 5*n**2 - 3*n + 9. Let u be j(z). Let l = -17 + u. Is l a prime number?
True
Suppose -3*j + 4*h + 3 = 0, -4*j + 2*j + h = -2. Let z(w) = 552*w**3 + w**2. Is z(j) prime?
False
Let h = 10 + -9. Let k be 4/h + -2 - -1. Suppose 4*x = 3*u - 833, -3*x + 1069 = k*u + u. Is u a composite number?
False
Suppose -10*o - 36 = -6*o. Let k be o/(-3)*4296/18. Let w = -129 + k. Is w a prime number?
True
Let i = -5123 - -9300. Is i a prime number?
True
Let f(w) be the first derivative of -11*w**2 - 13*w - 4. Let p(h) = -h**3 + 7*h**2 - 2*h + 7. Let o be p(7). Is f(o) a composite number?
True
Let k be ((-4)/2)/(-2)*19. Let j = 19 - k. Suppose j = -5*d + 581 + 704. Is d composite?
False
Is 309*13 + -29 + 34 composite?
True
Let p be (-5)/(-1) - (2 - 4). Suppose p*s = 3605 + 2121. Is s a prime number?
False
Let z be (3 + -1 + (-84)/15)*15. Suppose -s + 2*s = 151. Let t = s + z. Is t a prime number?
True
Suppose 29*b - b = 117460. Is b prime?
False
Let u(l) = 69*l - 143. Is u(24) composite?
True
Let g = 2 + 0. Let t(l) = l**2 - 4*l. Let s be t(4). Suppose s = g*r - 171 - 87. Is r a composite number?
True
Let q(z) = 497*z**2 - 10*z + 5. Is q(2) prime?
True
Suppose -3*g - 2*q = 2758, 10 - 25 = 3*q. Let p(b) = b**3 + 2*b**2 - b - 125. Let i be p(0). Let w = i - g. Is w prime?
False
Let h be (4/8)/(3/(-18)). Is (18272/(-48))/(2/h) composite?
False
Suppose 11*m = -4*o + 6*m + 37, -4*o = -2*m - 58. Suppose 3*p - 22 = 5*j, -5*p + o = -4*j - 15. Is (-25 - -15)*(-142)/p composite?
True
Let u be 39776/30 - 10/(-75). Suppose -5*a = -u - 319. Is a prime?
False
Suppose 1188 + 4534 = 2*y. Is y a composite number?
False
Let i(m) = m**2 - 11*m + 17. Let k be i(9). Is (-1281 + 13 + -5)/(k*1) a composite number?
True
Suppose -k + 400 = 109. Is k composite?
True
Suppose 16 = -5*n + 9*n. Suppose 3 - 7 = -b, 5*b = n*c - 3304. Is c a composite number?
True
Let h(a) = a - 11. Let l be h(6). Is 4/20 + (-669)/l prime?
False
Let j(x) = -147*x - 61. Is j(-12) composite?
True
Suppose 0 = 5*d + 5*d - 2570. Is d a composite number?
False
Let f = -18392 + 36013. Is f a prime number?
False
Suppose -4*f + f = -4083. Is f a prime number?
True
Suppose 36*h + t - 481689 = 32*h, -2*t + 10 = 0. Is h composite?
True
Let o be (-17)/(-4) + 2/(-8). Let j be o/12 + (-1)/3. Suppose 3*n - 435 = -j*n. Is n a prime number?
False
Let f = -9194 - -16141. Is f a prime number?
True
Let s be 3 + (1 + -4 - -5). Suppose 26 - 111 = -s*y + 5*o, 4*o + 80 = 5*y. Is (-124)/y*(1 + -7) composite?
True
Let m be (0 - (-69)/18) + 4/24. Suppose -2 + 10 = -2*j, m*j = -5*a + 34. Is a a prime number?
False
Let s = -9517 + 16664. Is s prime?
False
Let m = 14 - 14. Suppose -4*p + 2*p + 446 = m. Let x = p - -192. Is x composite?
True
Let s(v) = -15265*v - 93. Is s(-2) composite?
True
Let d(i) = -110*i**3 + 3*i**2 + i - 1. Let x be d(-1). Suppose 0 = -x*n + 109*n + 3502. Is n prime?
False
Suppose 5*v = 5*n - 1 + 6, 0 = 2*n - 4. Suppose v*h - 11*h + 10024 = 0. Is h a composite number?
True
Is 36388/6 + 1 - (-38)/(-57) composite?
True
Let a be (-11)/33 - 7/(-3). Let v be 3 + a + (-1 - 0). Suppose 5*x - 415 = t + 295, t - 568 = -v*x. Is x a prime number?
False
Let t(j) = 5*j + 139. Let l = 53 - 53. Is t(l) a prime number?
True
Let c = 15 + -3. Is 26151/45 - c/90 composite?
True
Suppose 6 = -2*p - 4*q - 14, 2*q + 10 = -5*p. Suppose p*k + 652 = 4*k. Is k a prime number?
True
Let v(q) = q**3 - 2*q**2 - 7*q + 1. Suppose 7 = -m + 2. Let p be v(m). Let l = 266 + p. Is l a composite number?
False
Let z(m) = 2*m**3 + 10*m**2 - 11*m + 2. Let y be z(-6). Is 2/4 - (y - (-4878)/(-12)) a prime number?
False
Let r(p) = 85*p**3 - 1 - p + 0*p - 15*p**3. Is r(2) prime?
True
Let w(m) = m**3 - 19*m**2 + 19. Let k(r) = -r**3 + 14*r**2 - 11*r - 6. Let a be k(13). Is w(a) composite?
False
Let b(r) = 13*r**3 - 11*r**2 - 5*r - 19. Is b(6) composite?
True
Let m(j) = 10*j - 2. Let o be m(-1). Let p = o + 16. Is ((-1354)/p)/(2/(-4)) composite?
False
Suppose 4 = b - 4*f + 20, -4*f = -5*b. Suppose 0 = n + 5*u + 112, -5*u + b = -4*n - 519. Let h = 166 - n. Is h composite?
False
Suppose -4*q = -2*j + 246, 3*q + 636 = 6*j - j. Suppose i = -2*i + j. Is i a composite number?
False
Suppose -5*c + 5*h - 2*h + 39 = 0, 5*c - h - 33 = 0. Let i be (-4)/c + 2/3. Suppose i*q + 955 = 5*q. Is q prime?
True
Let w be 1/((-1)/(-29)) - -1. Suppose 26*q = 21*q + w. Suppose -q*b = -b - 2705. Is b a prime number?
True
Let g(v) = -19*v + 32 - 29 + 72*v. Is g(10) a prime number?
False
Let n(u) = 72*u**2 - 2*u. Let o be n(-2). Let b(i) = 8*i**3 + 7*i**2 + 3*i + 3. Let h be b(-3). Let g = o + h. Is g a prime number?
False
Suppose -5550 = -21*p + 4992. Is p prime?
False
Suppose -3*g - 44068 = -5*m, 2*m = -2*g - 2*g + 17622. Is m prime?
False
Let q(c) = c**2 + c - 1. Let r(m) = -m**3 - 2*m**2 + 7*m + 1. Let t(l) = -6*q(l) + r(l). Let v be 237/(-27) - (-2)/(-9). Is t(v) a prime number?
True
Let q = 8305 + -3912. Is q prime?
False
Let h(y) = 877*y**3 - 2*y**2 + 12*y - 20. Is h(3) composite?
False
Let j(x) = x**2 - 11*x + 18. Let z be j(9). Suppose -1746 = -3*n - z*n. Is -3 + n + (-16)/(-4) composite?
True
Let l = 4 + 0. Suppose -3*b + l = -8. Is 174/3 + (3 - b) a prime number?
False
Suppose -5*d + 69 = 9. Let l = 17 - d. Suppose 2*s + 603 = l*x, 2*x - 2*s - 240 = -0*s. Is x a composite number?
True
Suppose 0 = 7*m - 5*m - 2. Is -6 - -3 - (-1897 - m) prime?
False
Let m = 2775 - 442. Is m prime?
True
Let k(z) = -z**3 - 3*z**2 - 2*z - 6. Let p be k(-3). Suppose -5*t - 5 = p, -8*t + 3*t + 152 = g. Is g prime?
True
Let w = 806 - 486. Let s = -109 + w. Is s composite?
False
Let w(o) be the first derivative of -o**3/3 + 10*o**2 + 38*o - 15. Is w(17) a prime number?
True
Let o(i) = 1603*i**3 - 3*i**2 - i + 2. Suppose -4*q + 0 + 9 = -3*s, 5*s - 5*q + 10 = 0. Is o(s) prime?
True
Let y(o) = o**3 + o - 11*o**2 - 4 - 2 + o**3 - o**3. Let f be y(11). Suppose 0 = -f*w - 3*g + 1015, g + 480 = 3*w - 129. Is w a composite number?
True
Let s(o) = o + 20. Let w be s(-15). Suppose 5*u = -5*l + 1312 + 268, -15 = w*u. Is l a prime number?
False
Let h(i) = i**2 - 8*i + 9. Let p be h(7). Suppose 3*v - 6 = -3*w, -3*w - 30 = p*w - 3*v. Is ((-886)/6)/(1/w) composite?
False
Let c be -42*((-4)/3)/(-2). Is (c/(-10))/7 - 933/(-5) composite?
True
Let o = 7664 + -3903. Is o a composite number?
False
Suppose -87*y = -811525 - 1608380. Is y a composite number?
True
Let q(c) = -c**3 + 6*c**2 + 6*c + 3. Let m be q(7). Let w = m - -15. Let z = 10 + w. Is z a prime number?
False
Let z = -20 + 25. Suppose z*a = -1 + 11. Is (428/3)/(a/3) composite?
True
Suppose 2*s - 6484 = 6*s. Let q(k) = -k**3 + k**2 + 5*k - 560. Let w be q(0). Let b = w - s. Is b a composite number?
False
Let v(r) = 29*r**2 + 44*r - 275. Is v(23) a composite number?
True
Let i be (-69)/(-6) + 1 - (-1)/(-2). Suppose i*o - 7*o = 8515. Is o composite?
True
Let a(z) = 2*z + 10. Let n be a(-3). Suppose n*b = -3*u + 1571, -2*b - u = -0*u - 787. Is b a composite number?
True
Let i = -71069 - -101370. Is i a prime number?
False
Suppose p - 5*k = 113, 6*p - 7*p = -k - 101. Suppose 0 = 2*m + 3*u + 113, 0*m + 4*u - 196 = 4*m. Let y = m + p. Is y a prime number?
False
Let z(n) = -3*n - 4*n + 12 + 3*n - 4*n. Let h be z(8). Let s = 171 + h. Is s a composite number?
True
Let l(i) = i**2 - i. Let u(j) be the third derivative of -9*j**6/40 + j**5/20 + 2*j**3/3 + 3*j**2. Let z(p) = -l(p) + u(p). Is z(-2) composite?
True
Is (42/(-84))/(1/(-272770)) a prime number?
False
Let w(c) = 1080*c**3 + c**2 - 6. Let n(l) = l**3 + 1. Let b(x) = -5*n(x) - w(x). Let t be b(-1). Suppose -4256 = -3*d - t. Is d composite?
True
Let h = -5 - -6. Let w be -11 + 72 - (-3 - h). Suppose -w = -2*v + v. Is v a composite number?
True
Suppose -4*h = -4347 - 4465. Is h a composite number?
False
Suppose 2*u - 3512 = -16*d + 10*d, u - 1766 = -5*d. Is u a composite number?
False
Let s = -38 - -29. Is 4/9 + (-1031)/s prime?
False
Suppose -26677 + 80487 = 2*v. Is v a composite number?
True
Let x(h) = -2*h + 27. Let n be x(11). Suppose -n*w = w. Suppose -9*p + 8*p + 85 = w. Is p a prime number?
False
Suppose 5*x - 11519 = 9486. Is x prime?
True
Let d(n) be the third derivative of 0 + 7/6*n**3 + 0*n - 4*n**2 - 1/3*n**4. Is d(-6) a prime num