 a prime number?
True
Let s be (-14)/(-2) - 0/1. Let l(y) = 21*y - 7. Let d be l(s). Suppose j - d = -3*j. Is j composite?
True
Suppose 2*j = 5*v - 1463, 0*j - 2*j = -2*v + 584. Is v prime?
True
Let w(h) = h**3 + 4*h**2 - 3*h + 12. Let d be w(-5). Suppose -d*v + 197 = -225. Is v composite?
False
Suppose -b + 5*i - 13 = 0, 4*b - 7 - 7 = -2*i. Suppose -r + 195 = b*r. Is r a composite number?
True
Let k(o) be the second derivative of -o**4/12 + 203*o**2/2 + 3*o. Is k(0) a composite number?
True
Let c(m) = -133*m + 22. Is c(-7) prime?
True
Let u(a) = 2*a + 2. Let z be u(-2). Let t = z - -7. Suppose -y + t*c + 140 = 0, 325 = 3*y + 2*c + 2*c. Is y a prime number?
False
Let a(h) = -h**3 - 8*h**2 - 4*h + 5. Let p be -15*(-1 - 2/(-3)). Suppose q + 28 = 5*l, -5*q - 2*l = -p*l + 52. Is a(q) a composite number?
False
Let w(r) = -4*r. Let s be w(-1). Is 273/12 + 1/s a prime number?
True
Let q(s) = -111*s + 4. Let n be (-15)/6 - (-1)/(-2). Is q(n) a prime number?
True
Is (-5 - 1248/(-4))*2/2 a prime number?
True
Let i(q) = -q**3 + 21*q**2 - 2*q + 15. Is i(18) composite?
True
Suppose 371 + 226 = 3*d. Is d a composite number?
False
Suppose -5 = -5*u + 5*j - 4*j, 5*j - 25 = 0. Suppose -5*z = 5*p - 21 + 6, -10 = -2*z + u*p. Suppose -z*b + 49 = 3*o, -3*o + 84 = o - 4*b. Is o composite?
False
Let p = 172 + -122. Suppose 3*n - 57 = -3*u, 4*n + u + p = 6*n. Is n prime?
True
Let v(p) = 12*p**2 + 5. Is v(3) prime?
True
Suppose p - 1005 = 110. Is p composite?
True
Let u be (-3)/9*0/1. Is 36 - (u + 4 - 2) composite?
True
Let z(l) = -l**2 - l + 1. Let g be z(-2). Is g/(1/(-3 - 50)) prime?
True
Let p(u) = u**3 - 2*u**2 - 4*u + 2. Let g be p(3). Let k(h) be the third derivative of 2*h**5/15 - h**4/24 + 2*h**2. Is k(g) a composite number?
True
Let b be ((-6)/15)/(3/(-30)). Suppose c = 5*s - 232, 0 = -b*c + c - 6. Is -3*(-1)/6*s prime?
True
Suppose -2*z = 3*z - 10. Suppose 0 = z*d + 3*d - 295. Let s = d + -38. Is s prime?
False
Let f be (4/(-2))/(10/325). Let b = 44 - f. Is b a prime number?
True
Let u(h) = -2*h + 2. Let q be u(5). Is 349/4 + 2/q a composite number?
True
Suppose l = 4*o - 300, -6*l = -2*o - l + 168. Is o prime?
False
Is (-431)/2*(1 - 3) composite?
False
Suppose 4*s - 4*f = -35 - 1, -5*s - 5*f = 15. Is 110/15*s/(-4) composite?
False
Let k(c) = c**2 - 21. Let n be k(0). Let r = 1 - n. Is r prime?
False
Suppose -m - 3*b + 46 = 0, 18 = 2*m + 2*b - 78. Suppose -60 - m = -g - 5*z, g - 5*z = 109. Is g prime?
True
Suppose 0 = 5*i - 3*i - 24. Is 0 + (i - (0 - 3)) a composite number?
True
Suppose m = -4*m + 1185. Is m prime?
False
Let w = 161 - 76. Is w a composite number?
True
Let g(z) = -2*z - 6. Let l be g(-4). Is (1/l)/(4/552) composite?
True
Suppose -24 = -5*u + 2*q, 14 = -3*u - 2*q + 38. Let x(i) = -i**3 + 7*i**2 + 4*i - 1. Is x(u) a prime number?
True
Let z(r) = -r - r**2 - 79*r**3 + 10*r**3 + 6*r**3 - r**2. Let a be z(-1). Suppose -a = -q - q. Is q composite?
False
Let g(q) = 92*q - 7. Let s be g(6). Suppose s = 2*v + 3*v. Is v a prime number?
True
Let j be (-20)/6*(-6)/5. Suppose 5*y = 4*i + 197, 213 - 56 = j*y - 3*i. Is y prime?
True
Suppose 8*p + 213 = 9*p. Is p prime?
False
Let w(l) = l + 3. Let h be w(11). Let j = -10 + h. Suppose c - j*k = 49, -115 = -4*c - 3*k + 5. Is c a prime number?
False
Suppose 0 = v - 5*f - 2681, -4*v + f - 2*f = -10724. Is 2/12 - v/(-6) prime?
False
Suppose -6*z + 4*v = -3*z - 51, -4*v - 30 = -2*z. Is z composite?
True
Suppose 2*r = -3*s - 3, -3*r + 2 - 16 = -5*s. Let x(j) = 796*j**3 + 2*j**2 - j. Is x(s) composite?
False
Let x(r) = 390*r**3 - 3*r**2 + 2*r - 3. Is x(2) prime?
True
Let w(q) = -q + 7. Is w(0) a prime number?
True
Let u be (-6 - 0)*(-2)/6. Is 551 + (3 + 1 - u) a composite number?
True
Let b(x) be the second derivative of x**5/20 - 11*x**4/12 - 7*x**3/3 - 13*x**2/2 - 7*x. Is b(13) a composite number?
True
Suppose -3*j = -4*v - 0*j - 2, -5*v + 2*j = 6. Let i(s) = -43*s - 1. Is i(v) composite?
True
Let v = 57 + -38. Is v a prime number?
True
Suppose -2*h - 4*d - d = -956, -4*d = 5*h - 2373. Is h prime?
False
Let u = -3 - -10. Let c(p) = -9*p**2 + 3*p - 1. Let s(w) = -19*w**2 + 7*w - 3. Let f(q) = -5*c(q) + 2*s(q). Is f(u) a prime number?
False
Suppose -p - p + 1213 = 5*i, p - 971 = -4*i. Suppose 3*n - 2*f = 233, 4*n - 3*f = i + 67. Is n a composite number?
False
Let z be 3/(-6)*26/(-1). Let n(c) = c**3 - c**2 - 3*c - 4. Let t be n(3). Suppose -u + 7 = 3*b, -2*b + b + t*u + z = 0. Is b a composite number?
False
Let z(m) = m. Let f(u) = 9*u + 5. Let w(r) = f(r) - 3*z(r). Is w(5) prime?
False
Suppose -3*m = -5*u + 4592, u - 2*m = 3*m + 914. Is u composite?
False
Suppose 3*m = -m + p + 6176, -4*p + 6156 = 4*m. Is m prime?
True
Suppose 4*b - 12 = -2*q + 8, q = -b + 5. Let v(a) = a**2 - a + 18. Let j be v(q). Is 1498/j - 16/72 prime?
True
Suppose 1 = -3*r + 16. Let o be 103/5 - (-2)/r. Suppose -n = -0*n - o. Is n composite?
True
Let g(l) = 61*l**2 - l + 11. Is g(5) prime?
True
Is ((-140284)/85)/(2/(-5)) composite?
True
Let z(i) = 11*i**2 + 2*i + 4. Is z(-3) composite?
False
Let c(i) = i**3 - 8*i**2 + 10*i - 6. Suppose h = 2*h - 7. Is c(h) a prime number?
False
Is (12/(-18))/((-2026)/2022 - -1) prime?
True
Let g(h) = -h**2 - 1. Let p be g(1). Is 56/9 - p/(-9) a composite number?
True
Let v = -17 + -51. Let m = -40 - v. Suppose -7 + m = l. Is l composite?
True
Let v(n) = 9*n - 5 + 2 + 14*n. Let a = 10 + -6. Is v(a) prime?
True
Suppose -20 = 4*g, 4*x - 17 = 5*g - 4*g. Suppose -2*c - 3*j + 227 = 0, -3*j = c - x*c + 257. Is c a prime number?
False
Is -701*(1 - (-3 - -5)) a composite number?
False
Let m(c) = c**3 - 4*c**2 + c + 1. Let z be m(7). Suppose z = 4*k - 233. Is k composite?
False
Let z(u) = -3*u - 3. Let g be z(-2). Let l(t) = 1 + 4*t**3 - g*t**3 - 3*t**3 - t. Is l(-4) a composite number?
True
Let w(o) = o**2 + 2*o - 43. Let n be w(6). Let p be 1 - 1/(-1)*-1. Suppose 5*k - 60 + n = p. Is k composite?
False
Let v be 8 - 3 - 0/(-1). Suppose -53 - 12 = -v*k. Is k composite?
False
Suppose -3*f + m = -137, 4*f - 186 = 4*m + 10. Suppose -2*n - 15 = 5. Let x = n + f. Is x prime?
False
Let g(u) be the second derivative of u**5/20 - u**4/3 - 2*u**3/3 - 3*u**2/2 + 2*u. Let l be g(5). Suppose v - o = -4*v + 639, -l*o = 8. Is v a prime number?
True
Is (-15)/(-80)*4 - 3109/(-4) a prime number?
False
Let h(z) = -z**3 - 3*z**2 - z + 1. Let p be h(-3). Let t(g) = 32*g - 1. Is t(p) a prime number?
True
Suppose 0*f + 8 = -2*f - 4*s, 0 = 3*f + 5*s + 8. Suppose -79 = -f*v + 45. Is v a prime number?
True
Suppose -4*c = -5*p + 3*p - 22, -4*c - 2*p + 26 = 0. Let n(w) = 6*w - 5. Is n(c) prime?
True
Let t(x) = 4 + 0 - 6 - x + 1. Let f(b) = -6*b - 9. Let g(z) = f(z) - 5*t(z). Is g(-10) a prime number?
False
Suppose 2*h - 2*a - 980 = 0, -6*a + 4*a = 3*h - 1455. Is h a prime number?
True
Let x be (1 + -2)/(8/(-144)). Is (-1 + 0 + x)*5 prime?
False
Suppose 4*g = 4*n + 16, 2*g + n + 3*n = -16. Let u = -1 + g. Is 65 - ((-2)/2 - u) a prime number?
False
Let a(x) = 198*x**2 - x - 7. Let i be a(-4). Suppose 0 = -8*o + 3*o + i. Is o a prime number?
False
Let o = -2 - -5. Let k be (1/o)/(1/15). Suppose 5*i = 100 - k. Is i a prime number?
True
Suppose 0*c + 5*c = 55. Suppose l = -3*k + 3, -k = -5*k + l + c. Is k prime?
True
Suppose 0 = -3*f + 5*f + 10. Let j = -1 - f. Is 13/2*j/2 prime?
True
Suppose 2*w - w = 2. Suppose 3*h - j - 969 = -2*h, w*h - 385 = 3*j. Is h a composite number?
True
Let m(b) = -b**3 + b - 3. Let u be m(0). Let q be (-1)/u*-2*-9. Is (-1172)/6*q/(-4) prime?
True
Let v = 80 - 122. Is (-171)/(-6)*v/(-9) a prime number?
False
Let t = 23 - 3. Suppose y = m - t - 31, m = 3*y + 55. Is m prime?
False
Suppose 3*t = 118 + 47. Is t composite?
True
Is 2/8 - (-3 + (-1238)/8) prime?
False
Suppose 18372 = 12*c - 6*c. Is c composite?
True
Is ((-938)/(-4) - -1) + (-2)/4 a prime number?
False
Suppose -4*y + 7*y - 345 = 0. Is y a prime number?
False
Suppose 0 = -w - 0*w. Let v(d) = -d - d**2 - 3*d + 3*d + 19. Is v(w) a composite number?
False
Suppose 0 = 2*y + 10, -v = v - 5*y - 351. Suppose h = -3*h - 416. Let p = h + v. Is p a composite number?
False
Let a(f) = f**2 + 3*f - 4. Let w be a(-5). Let u be (8 - 2)*w/9. Suppose 532 = u*p - 0*p. Is p a composite number?
True
Let m = 8 - 14. Let l = 28 + m. Is l a prime number?
False
Let f = -84 + 404. Le