umber?
True
Let j(l) = l**2 - 11*l. Let d be j(10). Is (d - -9)/((4/334)/(-2)) composite?
False
Is (-171036)/8*(-28)/126 a composite number?
False
Let s(y) = y**2 + 12*y - 57. Is s(36) prime?
False
Is (-3 + (-452)/(-8))*5*2 composite?
True
Let b(t) = -t**3 + 4*t**2 - 2*t - 2. Let n be b(2). Suppose 0 = g - 5 + n. Suppose -3*y - g*v + 50 = -2*y, 3*y + 5*v - 154 = 0. Is y a composite number?
False
Let q(d) = -255*d**2 - 2*d - 14. Let j(g) = 383*g**2 + 3*g + 21. Let i(b) = 5*j(b) + 7*q(b). Let r be i(3). Suppose 0 = 2*o - 6*o + r. Is o a prime number?
False
Suppose 3*q - 6594 = y + 22520, -19396 = -2*q - 2*y. Is q prime?
False
Let c(d) = 35*d**3 + 3*d**2 + 8*d + 1. Is c(6) prime?
True
Let l = 678 + 798. Suppose d - l = c + 4*c, c + 1 = 0. Is d a composite number?
False
Is 6634 - (4 + (1 - 8)) a composite number?
False
Suppose -9 = 3*u, -2*u + 10 = 5*i - 4. Suppose -i*q - o + 9 = 0, 8*q - 5*q = -3*o. Is q a prime number?
True
Suppose -4*o + 3*s = 64 - 246, 0 = 3*o - 4*s - 140. Let t = o - 9. Suppose 0 = 2*g - 81 - t. Is g a composite number?
True
Suppose -t = -2*t + 149. Suppose 3*a - 114 = 3*o, -5*a + t = -a - o. Is a a prime number?
True
Let k(u) be the third derivative of -u**6/120 - u**5/12 + u**4/24 - 7*u**3/3 + 11*u**2. Is k(-11) prime?
True
Let h = 10 + -7. Let d be (-5 + h + -2)/1. Is -11*2*2/d a prime number?
True
Suppose 4*o - o - 4*r = 8968, -5*r = -5*o + 14950. Let y = o - 2033. Is y a prime number?
False
Let b = 17559 + -8922. Is b a prime number?
False
Let x(i) = 159*i + 1. Let o be x(2). Let t(n) = -2639*n + 319. Let z(p) = -33*p + 4. Let c(y) = o*z(y) - 4*t(y). Is c(3) composite?
True
Is (1217*3)/(-14 + (13 - -4)) prime?
True
Let k(j) = -j**3 + j**2 - 24*j - 11. Let s(l) = -l**3 + 2*l**2 - 25*l - 11. Let r(b) = 5*k(b) - 4*s(b). Is r(-10) prime?
False
Let t = 1 - 16. Let c be (-1)/(-3) + (-2995)/t. Suppose -2*r + c = -434. Is r a prime number?
True
Suppose -w = v + 48, 5*w - 2*v - 15 = -255. Is (-2)/16 - 14070/w composite?
False
Let f(r) = -9638*r + 69. Is f(-4) a prime number?
False
Let j be (1 + 4)*(-45)/(-75). Let o(z) = -3*z - 7*z**2 - 6*z - 10 + z**j + 0*z. Is o(9) a composite number?
False
Let r = -88 + 93. Is ((-7188)/(-5))/3 - 1/r composite?
False
Let z be 2/(-7) + 730/7. Suppose -z - 119 = -p. Is p a prime number?
True
Suppose -2*f = 17 - 3. Let p(x) = -x**3 - 8*x**2 - 6*x + 10. Let u be p(f). Suppose -4*a + 50 = 2*s - 0*a, u*s - a - 110 = 0. Is s a composite number?
True
Suppose 0*r + 5*j - 9017 = -3*r, 0 = -r + j + 2995. Is r a composite number?
False
Let j = -23 - -27. Is ((-198)/(-5) - j)*5 a prime number?
False
Suppose 2*u + 17*u - 52573 = 0. Is u a composite number?
False
Let r(x) = -67*x - 27. Let g(l) = -66*l - 28. Let z(q) = -2*g(q) + 3*r(q). Is z(-16) a prime number?
False
Let y(r) = -1326*r + 3. Let k be y(-1). Let w be 3/(-12) + 1/4. Suppose w = -f - 2*f + k. Is f prime?
True
Let o = -197 - -299. Suppose -211 + 77 = -2*x. Let n = o - x. Is n composite?
True
Let r(d) = -131*d**3 - 3*d**2 + 3*d + 29. Is r(-4) composite?
False
Let y be (-28)/(-8)*(6/(-14) + 1). Is (30/(-9))/(y/(-1047)) a prime number?
False
Let z = 13 + -13. Suppose z = -5*j + 1071 + 934. Is j prime?
True
Let t(v) = 10975*v**2 - 4*v + 2. Is t(1) a prime number?
True
Let z be ((-2)/1)/(-2 + 3). Let y be (3 - 11)/z - 2. Suppose -3*d - 2*v + 43 = 0, 2*d = -y*d - 4*v + 56. Is d a composite number?
True
Let f(k) = -k**3 + k**2 + 4*k - 4. Let y be f(2). Suppose -4*n + 0*n + 364 = y. Is n a prime number?
False
Let f be 2/((-3)/(-6)*(-8)/(-6)). Is (1185/(-20))/(f/(-20)) composite?
True
Suppose -5*z = -5*x + 25, 0 = z - 2*x - 2*x + 20. Suppose z = -5*v + 472 + 523. Is v prime?
True
Let s = 1443 - 986. Suppose -454 = -0*d - d - 3*k, 2*k - s = -d. Is d a prime number?
True
Let v be (42747/(-6))/((-1)/2). Let x = -21508 + v. Is (-3)/8 - x/136 composite?
False
Let h = 6 + -7. Is ((-1)/h)/(13/1027) composite?
False
Is (-2)/((-16)/744296*7) prime?
True
Let k(l) = -149*l**2 + 2*l - 1. Let t be k(1). Suppose 4*n - 357 = -9. Let h = n - t. Is h a prime number?
False
Let g(n) = 4*n**3 - 2*n**2 + n. Let v be g(2). Suppose -x + 7 = 2*o - 3, 3*x - v = -5*o. Is (-26660)/(-70) - x/(-14) composite?
True
Suppose -7*o = -12*o + 25. Suppose -o*c = -0*c - 1115. Is c prime?
True
Let n(v) be the third derivative of 19*v**5/30 - v**4/6 + 7*v**3/6 + 25*v**2. Is n(-4) composite?
False
Is 326*(-7 - (-175)/14) a prime number?
False
Let w(y) = y**3 + 7*y**2 - 69*y + 6. Is w(19) composite?
False
Is (3 - (-96)/(-18))*-1527 composite?
True
Let k(c) = -112*c + 261. Is k(-55) a composite number?
False
Suppose 0 = 2*m + l - 1263, -3*l = -m + 327 + 301. Is m a prime number?
True
Suppose -2*i + i = o + 4, -22 = 5*i + 3*o. Let r(a) = -9*a**3 - 4*a**2 + 6*a. Is r(i) prime?
False
Let h(v) be the first derivative of 445*v - 1/3*v**3 - 2 + 0*v**2. Is h(0) composite?
True
Suppose -5 = 2*i - 3, 0 = -2*u + 2*i - 580. Let h be -2*(2 + u) - -1. Suppose h + 142 = 7*a. Is a prime?
True
Suppose -7*t + 34272 + 53977 = 0. Is t a prime number?
False
Let a = 37 - 63. Is 31/3 - a/39 prime?
True
Suppose -7*z = -40329 - 49138. Is z a prime number?
True
Let s(c) = -4*c + 57. Is s(-2) prime?
False
Is (-6)/(-10) + 81444/10 + 1 a prime number?
False
Let h be (2 - 1269)/((-7)/14). Suppose -h = -9*z + 4639. Is z a composite number?
False
Suppose -3*g + 2 + 4 = 0. Let v be ((-8)/(-12))/(g/9). Suppose -v*o + 49 = -8. Is o a composite number?
False
Let z be (0 + 3)*-1 + 6. Suppose -z*j = -108 - 9. Is j composite?
True
Let g(k) = -k**2 + 8*k - 10. Let f be g(7). Let r be 5/((-5)/f) - 0. Suppose -2*p - 2*t + t + 363 = 0, -p - r*t + 194 = 0. Is p a prime number?
True
Let j(y) = -6 - y + 11 - 12 + 24*y**2 + 0*y. Is j(-4) composite?
True
Suppose v = -4, -6*v + v - 209126 = -6*c. Is c prime?
False
Let s be 31/(-2) + (-1)/2. Let r be 66/14 + s/(-56). Suppose 5*t - 3*t - 1564 = -r*i, -2*t + 3*i = -1580. Is t a composite number?
False
Suppose 4 = -2*n - 6, -4*t + n = -8169. Is t a composite number?
True
Is 11184/14 - (11 + (-156)/14) prime?
False
Suppose 40 = -4*g - 5*c + 6, -2*g - c - 14 = 0. Let t be (-3)/(-1) - (g + 4). Suppose t*q - 398 = z, 3*z + 404 = 2*q + 3*q. Is q composite?
False
Suppose 3*m - 8869 = -z, 5*m + 47813 = 4*z + 12405. Is z a prime number?
False
Let a(u) = -u**3 + 22*u**2 - 10*u - 35. Is a(18) a composite number?
True
Let c = 130851 + -57565. Is c a composite number?
True
Let s(i) = 5*i - 5*i**3 + 1 - 10*i**3 + 1 + 8*i**3 - 2*i**2. Is s(-3) prime?
False
Suppose 0 = -4*m + 5*s + 4273, -5*m + 5*s - 2129 = -7*m. Is m a composite number?
True
Suppose -545 + 45 = -z. Let d = z + -131. Let v = -184 + d. Is v a composite number?
True
Let k = -64 + 104. Suppose 13 + k = -i. Let t = i + 90. Is t prime?
True
Let j = 54591 - 38672. Is j prime?
True
Suppose 2 + 10 = 4*l. Suppose 8 = l*i + 2. Is -2 - 660/(-8)*i composite?
False
Suppose i - 20 = -13. Is (-2216)/(-14) - ((-12)/i - -2) composite?
True
Suppose -1 = 2*f - 7. Let i(k) = -5*k**3 + 24*k**2 - 28*k - 42. Let w(b) = -2*b**3 + 8*b**2 - 9*b - 14. Let z(d) = f*i(d) - 8*w(d). Is z(-7) composite?
True
Let d(b) = 2*b**3 - 5*b**2 + 1. Let y be d(4). Let q be 133/y - 2/(-7). Suppose 3*i + q*x = 1392, 0*i - x + 931 = 2*i. Is i a composite number?
False
Let g be (11/6 - 2) + 370/60. Let n(q) = 38*q - 5. Is n(g) composite?
False
Suppose -m - 55225 = -2*j, 3*j - m + 55219 = 5*j. Is j a composite number?
False
Let k be (2/6)/((-11)/99). Is 318 - (k + (3/1 - 1)) a prime number?
False
Let f(i) = 189*i**2 - 3. Let l be 3/(-6)*2 - 1. Is f(l) a composite number?
True
Let z(n) = -9*n**3 - 7*n**2 + 12*n + 37. Is z(-8) composite?
True
Let w = 1433 - 1450. Let v(b) = -b**3 - 17*b**2 + 10*b - 29. Let o(q) = -q**3 - 17*q**2 + 9*q - 28. Let m(t) = -4*o(t) + 3*v(t). Is m(w) composite?
False
Let y(r) = 7*r**3 - 59*r**2 + 2*r - 47. Is y(29) composite?
True
Let l(q) = -4*q**3 + 16*q**2 - 18*q - 27. Is l(-16) a composite number?
True
Suppose -5*a + 5*w + 10073 + 150352 = 0, 4*w - 128324 = -4*a. Is a a prime number?
True
Let s = 11 - 0. Let m(l) = 29*l - 4. Let g(k) = 146*k - 21. Let y(n) = s*m(n) - 2*g(n). Is y(5) composite?
True
Let m(p) = -2*p**2 - 15*p + 39. Let u(z) = 3*z**2 + 15*z - 39. Let j(y) = 3*m(y) + 4*u(y). Is j(6) a prime number?
False
Let g(l) = -l**3 + l**2 + 37*l + 34. Is g