prime number?
False
Suppose u = 6*u. Let h(f) = 11*f**3 - 2*f**2 + 11*f + 103. Let i(b) = 5*b**3 - b**2 + 5*b + 51. Let t(m) = -4*h(m) + 9*i(m). Is t(u) a prime number?
True
Suppose 5*l = -5*z + 25, 6*z = 4*z - 3*l + 14. Let u be (0 - 0)/(-2*z). Suppose -y + c - 3 + 7 = u, -2 = y + 2*c. Is y prime?
True
Let s = -324 - -550. Is s a composite number?
True
Suppose 5*u + 65 = -0*u. Let p(t) = -10*t - 2. Let x be p(3). Let s = u - x. Is s a prime number?
True
Suppose 0 = 3*z - 4*z + t + 92, 3*z - 5*t = 286. Let q = z - -236. Is q prime?
False
Let i(d) = -d + 1. Let j be i(8). Let m be (-43 - 0) + 1/(-1). Let y = j - m. Is y prime?
True
Let u(n) = 12*n**2 - 2*n - 9. Let b be u(-6). Suppose -b = -3*j - 4*o, 3*o + 754 = j + 4*j. Is j a composite number?
False
Let u = 386 - 635. Let h = 220 - 312. Let a = h - u. Is a composite?
False
Suppose 2*h = 102 + 84. Is h a prime number?
False
Suppose -o = -g + 3*g - 86, 0 = 5*g - 10. Is o a composite number?
True
Suppose -4 = -3*o + 2, -3*o = 5*u - 2821. Is u a composite number?
False
Let i = -120 - -277. Is i composite?
False
Let f be (-28)/(7 - 3) - -4. Let h(l) = 4*l**3 + 2*l - l**3 - 2*l**2 + 4 - 5*l**3. Is h(f) composite?
True
Suppose -9 = -3*k, -2*b - k = 3*k - 18. Suppose -3 = -4*a + b*a. Suppose -o + a*o - 38 = 0. Is o a prime number?
True
Let j be ((-2)/4)/((-4)/3152). Suppose 5*c - j = -3*d, -3*c + 396 = d + 2*d. Is d a composite number?
True
Let f be 2 + 2*(-3 + 2). Let p(u) = f + 7*u + 1 - 29*u. Is p(-1) composite?
False
Let y(s) be the third derivative of 31*s**4/24 + s**3 - 16*s**2. Let z be (2/4)/((-1)/(-10)). Is y(z) a prime number?
False
Suppose 23 = 2*m - 5*t, -t - 48 = -5*m + 2*t. Is 6/m - 652/(-12) prime?
False
Suppose 0 = -6*y - 0*y + 18. Suppose -4 = -w, y*s + 151 = 4*w + 672. Is s a prime number?
True
Let p(d) = -998*d - 13. Is p(-10) a prime number?
True
Suppose 5*p = 4*t + 32, p - 14 = -p + 2*t. Let g(q) = q**2 + q + 288. Let a be g(0). Suppose -b - a = -p*f + 3*b, 4*b = -20. Is f a composite number?
False
Suppose -37 - 58 = -5*s. Is s composite?
False
Let t be ((-2)/6)/((-4)/48). Let q(d) = d**2 - d + 3. Is q(t) a composite number?
True
Let b(p) = -1 + 2*p**3 - p**2 - 4*p**3 + 6*p**2 - 4*p - 2. Is b(-4) a prime number?
False
Let v be (5/(-1))/(1 + -2). Suppose 0 = c + v*p - 10, -6*p + 4 = -2*p. Let n(k) = 2*k**2 - 8*k + 5. Is n(c) a prime number?
False
Let n(a) = a**2 + a + 7. Suppose b = 5*b + 24. Is n(b) prime?
True
Let a(p) = -p**3 - 6*p**2 - 6*p - 1. Let s be a(-5). Suppose 2*v + s*j - 1219 = -v, 2*v = -5*j + 808. Is v a composite number?
False
Let j(q) = q. Let h be j(-6). Let c be -1*(h - (2 - 3)). Suppose -c*b + p + 33 = 0, -b + 15 = 2*p + 2*p. Is b a prime number?
True
Let i = -364 + 1145. Is i a composite number?
True
Suppose -2*q = 5*i - 57, -6*q + 106 = -2*q + 2*i. Suppose 0 = -4*p + 29 + 19. Suppose 2*c - q = p. Is c a prime number?
True
Let k(f) = f**3 - 3*f**2 - 3*f - 4. Let l be k(4). Suppose -3*c + 2 + 25 = l. Let g(h) = 18*h - 13. Is g(c) a prime number?
True
Suppose 0 = 5*n + 81 + 19. Let u = 228 + -123. Let q = n + u. Is q a prime number?
False
Let v(c) = 118*c - 8. Let a be v(11). Suppose z = 9*b - 4*b + 232, 5*z = -b + a. Is z prime?
True
Let l be ((-16)/(-6))/(2/57). Suppose -2*c + l = 2*c. Is c prime?
True
Is (-3354)/(-7) - (18/14)/9 composite?
False
Is ((-382)/6)/(13/(-39)) prime?
True
Suppose 1252 = -h + 2*h + b, 3*b - 2507 = -2*h. Is h prime?
True
Suppose m + 586 = 2*m. Is m a prime number?
False
Let d be ((-4)/(-2))/(2/29). Let c = -15 + d. Is c a composite number?
True
Let n(o) = o + 16. Let d be n(-12). Is 10/20 - (-554)/d a composite number?
False
Let x = -69 + 281. Suppose -3*q + 15 = 6, -4*q - x = -4*y. Let w = y + -19. Is w a composite number?
False
Let c(g) = -16*g + 3. Let v = 23 + -24. Is c(v) a composite number?
False
Let h = -448 + 199. Let y = 370 + h. Is y prime?
False
Let a(k) = 14*k + 1. Suppose -y = -2*i + 7 + 8, -5*i - y = -20. Is a(i) composite?
False
Let k(p) = -5*p**2 + 3. Let w(o) = -4*o**2 - o + 3. Let h = -11 + 6. Let b(z) = h*k(z) + 6*w(z). Is b(8) a composite number?
False
Let m = 161 + -114. Is m composite?
False
Suppose -t - t + 3*m = -218, -4*m = 8. Is t prime?
False
Suppose -4*o - 17 = 11. Let a = o + 14. Suppose -a*r + 380 = -3*r. Is r prime?
False
Suppose 50 - 764 = -3*r. Let g = r + -143. Suppose 0 = z - 6*z + g. Is z a prime number?
True
Let u be 55/20 - 2/(-8). Suppose u*h - 4*h = 2. Is (-2)/((h/(-53))/(-1)) a composite number?
False
Suppose 0*x = 5*x - 30. Let n(s) = s**3 - 5*s**2 - 5*s - 3. Let a be n(x). Suppose -3*d = -5*w - 0*d + 447, -162 = -2*w - a*d. Is w a prime number?
False
Is ((-6)/4)/((-24)/6064) composite?
False
Let b(s) = -14*s - 7. Let j be (1 + -2 - -1)/(-2). Let o = j - 6. Is b(o) a composite number?
True
Suppose 3*f = -5*t - 4, 3*f + 2*t - 2 = -0*t. Let z be 16/10 - 12/(-30). Is (2 + z)*(3 - f) a prime number?
False
Is 3 + (5 - 10 - -409) a composite number?
True
Let b(k) = 17*k + 4. Let m(s) = -67*s - 16. Let i(r) = 9*b(r) + 2*m(r). Let n be i(3). Suppose 17 = -2*y + n. Is y composite?
True
Is (80/24)/((-4)/(-834)) composite?
True
Let d(o) = 2*o**2 - 9*o - 34. Is d(19) a composite number?
True
Let y(o) = -2*o - 5. Let w(r) be the third derivative of r**4/12 + r**3/3 - r**2. Let x be w(-4). Is y(x) a prime number?
True
Let a(c) = c + 2. Let j be a(4). Let n(r) = 3*r - 2. Let y be n(j). Let o = y - 2. Is o prime?
False
Is ((-3170)/(-40))/(2/8) prime?
True
Suppose 5*f + 3*o = 16, -6*f + 3*f = 3*o - 6. Suppose 3*h - 300 = 3*v, 2*h - v = -f*v + 182. Is h a prime number?
True
Suppose -3*x + 56 = -10. Let o = 497 + -245. Suppose 0 = 5*p - o + x. Is p a prime number?
False
Let q(d) = 5*d + 4*d + 3 - 2. Suppose 0 = -4*m + 6 - 2. Is q(m) a prime number?
False
Let i(j) = j**3 - 6*j**2 - 2*j + 9. Let h be i(6). Let p = h + 3. Suppose p*o = 5*o - 155. Is o prime?
True
Let b(d) = -d**3 - 7*d**2 - 8*d - 9. Let h be b(-6). Suppose h*a + 3*z - 19 = -1, 0 = -a + z. Is (2 - 3/a)*37 composite?
False
Suppose t = -0*t + 15. Is (-10)/t*(-297)/6 a prime number?
False
Suppose 0 = b - 5, 3*r - 4*b - b - 5 = 0. Let k be (-40)/(-6)*(-156)/r. Let w = k + 178. Is w prime?
False
Suppose -6*o = -4*o - 2390. Is o a composite number?
True
Let j(h) = -17*h - 10. Suppose 5*r + 2*c = -65, r + 0*r = -c - 13. Is j(r) a prime number?
True
Let g(p) = 23*p - 4. Let m be g(-5). Let n = 276 + m. Is n composite?
False
Let o(h) = -h**2 - h + 186. Let j be o(0). Let v = j + -133. Is v composite?
False
Let i be (-52)/(-20) + 4/10. Suppose 3*h - 138 = -3*x, -4*h + 3*h = -2*x - 52. Suppose 2*a + 8 = i*k - 33, h = 4*k - a. Is k a composite number?
False
Let q be 4/(-18) + (-136)/36. Is (-534)/q - (-7)/(-14) a composite number?
True
Let v = 125 - 10. Suppose 0*t = 5*t - v. Is t prime?
True
Let c(r) = 36*r - 41. Is c(23) composite?
False
Let a(f) = f**3 - 5*f**2 + f. Let u be a(5). Let q = -20 - -31. Suppose -3*w - u*v = -82, -2*w - 2*v + 59 = q. Is w composite?
False
Let u = 55 - 27. Is -38*(u/8)/(-7) a composite number?
False
Let z = 1504 - 769. Suppose -233 = 2*a - z. Is a composite?
False
Is ((-1302)/9)/(8/(-12)) a prime number?
False
Let l(h) = 2*h**2 + 5*h - 5. Let m be l(-5). Let t be ((-6)/18)/((-1)/21). Let i = m - t. Is i composite?
False
Suppose -3*y + p + 531 = 0, -5*y + 885 = -0*y + 5*p. Is y prime?
False
Is ((-1)/2)/(3/(-10806)) a composite number?
False
Let d = -1 + -7. Let g = d + 15. Is g composite?
False
Suppose -2*r - 7*r = -15723. Is r prime?
True
Suppose -3*o + 180 = 5*k, 3*k - 4*o + 3*o - 108 = 0. Suppose -3*q + k + 23 = -5*r, -4*r = -2*q + 38. Is q composite?
False
Suppose -4*i - 3*a = 1, 2*i - 2*a - 10 = -0*i. Suppose 0 = -i*q - 3*g, g = -2*q - 2*q. Suppose -4*h + q = -56. Is h composite?
True
Suppose y = -1 - 2. Let m(w) = 15*w**2 + 5*w + 3. Is m(y) a composite number?
True
Suppose x - 3 = -1. Suppose -6*r + x*r + 54 = 2*i, 0 = 5*r + 5. Let z = -10 + i. Is z a prime number?
True
Let f(u) = 9*u**3 + 29*u**2 + 24*u - 29. Let q(t) = 5*t**3 + 15*t**2 + 12*t - 15. Let b(r) = -4*f(r) + 7*q(r). Is b(-10) a prime number?
True
Suppose 0 = -5*m - 10, -b + 45 - 10 = -2*m. Suppose 4*t = -16, -50 - 54 = 5*n + t. Let x = n + b. Is x prime?
True
Suppose -z + 8 = 2*l, -4*z + 5*l - 9 = -z. Suppose -3*b = c, c + b = z*c - 4. Suppose -c*o + 26 = -