m - 29. Let n = x - -18. Is n a prime number?
False
Let x(k) = 12*k + 8. Let t be x(8). Suppose -3*o - 2*s + 87 = 0, -4*o + 4*s + t = -32. Is o prime?
True
Let t = 9 + -8. Let j(f) = 7*f**2 - 2*f + 1. Is j(t) a prime number?
False
Let u be -2*(-3 - (-45)/6). Is (u/3 - -1) + 9 a composite number?
False
Let s(u) = -u + 10. Let h be s(-7). Let p(a) = 5*a + h*a**2 - 4*a + 5*a**2. Is p(-1) a prime number?
False
Let c(d) = d**3 + 3*d**2 - 2*d - 1. Let x be c(-3). Let g = 9 - x. Suppose -g*o = -2*o - 422. Is o a prime number?
True
Let a(m) = 58*m**2 - 3*m + 2. Is a(3) a composite number?
True
Suppose 5*n + 5343 + 3094 = 3*b, 0 = -4*b + 2*n + 11268. Is b prime?
True
Let z be ((-4)/(-7))/(6/21). Suppose -z*r + 3*q + 91 = -38, 0 = 3*r + 4*q - 219. Is r composite?
True
Let i(g) be the first derivative of -3*g**2/2 - 6*g - 3. Is i(-4) composite?
True
Let p be ((-2)/3)/(10/(-15)). Suppose -v + 2 + p = 0. Suppose v*t - 149 = 2*y + 30, 0 = t + y - 58. Is t a composite number?
False
Suppose -3*a - 2*c + 3685 = 0, -3*a - c + 3687 = 2*c. Is a composite?
True
Let f be (-1 - -2)/((-1)/57). Is 0 - (f + 0/2) prime?
False
Let b(n) = -n**3 - 6*n**2 + 8*n + 4. Let w be b(-7). Let r(l) = -6*l**2 - 5*l + 0*l - l**3 + 4*l**2 - 3. Is r(w) composite?
True
Let g(c) = c**3 + 11*c**2 - 4*c - 7. Is g(-9) prime?
True
Suppose -2*k = 3*f + 53, 0 = -3*k + 2*k - 5*f - 23. Let a = k - -39. Is a composite?
False
Let b(o) = o**2 - 2*o + 91. Is b(0) a composite number?
True
Let f be -4 + 2 + 0 + 269. Suppose d + b - 302 = 0, -d = -b - 45 - f. Is d composite?
False
Let h be (-1 + -3)/(-4 - -3). Suppose -h*b + 450 = -2*n + 8, 4*b - 432 = 4*n. Is b a prime number?
True
Let b = 19 - 30. Let t = 30 + b. Is t prime?
True
Is 20706/70 - 4/5 a prime number?
False
Suppose 2*k = -5*u - k + 1060, 1085 = 5*u - 2*k. Is u a prime number?
False
Suppose -c - 5*w + 2*w - 7 = 0, 2*w - 4 = -5*c. Is (c + 117)*(7 + -6) composite?
True
Suppose v - 2*l + 3 = 17, -4*l = 3*v + 8. Suppose 0 = -2*t - 0*t + v, 318 = 4*b + 5*t. Is b a prime number?
False
Let f be -158 + 2/(2/3). Let j = 138 - f. Is j composite?
False
Suppose -3*d - 17 = 1. Let f(y) = 10*y**2 - 9*y - 5. Is f(d) a prime number?
True
Suppose -2*m + 58 + 69 = -5*l, -3*m + l + 184 = 0. Suppose 96 + 24 = -5*o. Let r = o + m. Is r a prime number?
True
Suppose -4*v + 2*c + 3 = -19, 2*v - 4*c - 8 = 0. Suppose 3*x = v*x + 24. Is 2/x - (-85)/4 a prime number?
False
Is (-1)/((-3)/33)*1 a prime number?
True
Suppose -18 = -4*v + 5*m - 1, -4*v - 2*m = -10. Suppose -2*t = v*t + 2100. Let z = t + 833. Is z a composite number?
True
Suppose 2*b + k - 5 = -30, 0 = 5*b - k + 45. Let i(u) = u**3 + 21*u**2 + 4*u + 1. Is i(b) a prime number?
True
Suppose -25 = -3*y - 4*v, -2*y + 5*y + v = 31. Suppose y = s - 0*s. Is s prime?
True
Let r(i) = 19*i**2 + 9*i - 3. Is r(10) composite?
False
Is 38778/18 + (-4)/(-6) prime?
False
Suppose 5*j + 28 = -3*l, -7*j - 27 = -2*j + 2*l. Let m(y) = y + 8. Is m(j) prime?
True
Let a(g) = 2*g**2 + 5*g + 2. Let y be a(-3). Suppose -y*u + 28 + 22 = 0. Is u a composite number?
True
Let b(x) = 13*x**2 + 6*x - 55. Is b(-18) composite?
False
Suppose -d = o - 52, 2*o + 119 = 2*d - o. Is d composite?
True
Let y(f) be the first derivative of -13*f**2/2 + 2*f + 10. Suppose -5*j - 38 = 4*s, 3*s - 4*s = -5*j - 3. Is y(s) a prime number?
False
Let f(o) be the first derivative of 1/3*o**3 + 1/2*o**2 + 6*o + 2. Is f(0) a composite number?
True
Let i = 4717 - 2878. Is i composite?
True
Is (44/8)/((-1)/(-106)) composite?
True
Let x(v) = v**3 - 5*v**2 + 3. Let j = 106 + -48. Let q be 2/12 - j/(-12). Is x(q) composite?
False
Let b(u) be the third derivative of -u**5/60 - u**4/2 + u**3/6 + 2*u**2. Suppose 3 + 9 = -2*r. Is b(r) prime?
True
Let j = -74 + 148. Is j prime?
False
Let s(u) = -1. Let d(o) = -o**2 - 6*o - 4. Let v(h) = -d(h) + 6*s(h). Is v(5) a composite number?
False
Let h(f) = -f**2 + 7*f + 8. Let s be h(6). Let a be 2286/s + 4/(-14). Is a/5 + 12/30 a composite number?
True
Let x = -320 + 697. Suppose 7 - x = -2*l. Is l composite?
True
Let o(g) = -14*g**3 + 2*g**2 + g - 3. Is o(-2) composite?
True
Suppose 69 = -4*y + 593. Let s = -60 + y. Let h = -20 + s. Is h a prime number?
False
Is -406*24/(-16)*(-2)/(-6) composite?
True
Let d(x) = -10*x. Let v = 6 + -16. Let c be (-1)/(-5) - (-12)/v. Is d(c) prime?
False
Let x(o) = o**3 + 819. Let r be x(0). Let f = r - 442. Is f a composite number?
True
Suppose w = 182 - 33. Is w a composite number?
False
Let d(l) = -2*l**3 - 2*l**2 - l**2 + l**3 + 2*l + 2 + l**2. Let w be d(-2). Is 0/w + 70 + -3 a composite number?
False
Let t be ((-36)/(-21))/(1/7). Let a be (-681)/9 - (-8)/t. Let g = a + 194. Is g composite?
True
Let w(h) = -h**3 + h**2 + 21. Let k(q) = -2*q**2 - 1. Let p be k(-1). Let a = p - -3. Is w(a) a composite number?
True
Let k(b) = 3*b**2 + 19*b - 5. Is k(-9) prime?
True
Let a be (-442)/(-6) - 12/18. Let u = -2 + a. Is u a composite number?
False
Let u(l) = -24*l - 2. Let y(j) = 1. Let m(o) = o + 11. Let b(d) = -4*m(d) + 44*y(d). Let h be b(1). Is u(h) prime?
False
Let x be 6*2/4 - 1. Suppose -1 = -x*v + 21. Is v prime?
True
Let g = -1030 + 3839. Is g a prime number?
False
Is (-4)/(-10) - (-8178)/5 - -1 a composite number?
False
Let r = -1 + 4. Suppose r*t + 24 = 351. Is t prime?
True
Let k(a) = -a + 4. Let f be k(4). Suppose f = -0*s - 4*s + 364. Is s a composite number?
True
Let f(g) = g**2 + 2*g + 2. Let h = 25 - 16. Let t = h - 4. Is f(t) prime?
True
Let z(f) = -32*f**3 + f**2 - 4*f - 7. Is z(-4) a prime number?
False
Suppose 4 = 5*z - 1. Let d(f) = 7*f**3 + f**2 - 1. Is d(z) a prime number?
True
Suppose -11*z + 7*z + 2620 = 0. Is z composite?
True
Let r(u) = -18*u**3 - u - 4. Is r(-3) composite?
True
Suppose -106 + 269 = -5*q - 3*n, -2*q = 5*n + 50. Let d = 184 + q. Is d prime?
True
Let r(l) = l + 6. Let q be r(-6). Let b be (1 - -7)/(q + 2). Suppose b*k + 20 = 160. Is k a composite number?
True
Let b = 21 - -36. Is b a composite number?
True
Suppose -i + 3 = -10. Suppose 6*y + 12 = 4*y. Let h = y + i. Is h composite?
False
Let m(c) = c - 2. Let l be m(4). Let k be (-21)/(-15) + 4/(-10). Is k/(6/21)*l composite?
False
Let z be 4*(-1 - 6/(-4)). Let u be ((-100)/6)/(z/6). Let r = u + 87. Is r prime?
True
Is ((-332)/(-4*1))/1 a prime number?
True
Let x(v) = v**3 - 5*v**2 + 4*v + 1. Let y be (-1 - 6/3)/(-1). Let z be x(y). Let l = 40 + z. Is l prime?
False
Let i be (0 - 2) + (4 - -78). Suppose -j = 3*j - i. Suppose -5*t = 3*s - 500, s + 3*s - j = 0. Is t composite?
False
Suppose 2 = 4*t - 2*m, 2*t + 13 = 3*t - 3*m. Let a be 1*(-2 - (-1 + t)). Is (a + 0 - 8)*-19 a composite number?
True
Let d(t) = -2*t + 4. Let l be d(4). Let i(w) = -w**2 - 2*w + 4. Let a be i(l). Is -1*(1 + a*2) prime?
True
Suppose 76 = -2*i - 3*l + 1358, 12 = 3*l. Is i a composite number?
True
Let w(i) = 4*i**3 - 3*i**2 - 2*i + 10. Let k be w(5). Let j = k + 6. Is j a prime number?
True
Let a = -4 + 6. Suppose 6*h = a*h + 184. Is h composite?
True
Suppose 0 = 5*a - a - 16. Let b = 0 - -2. Suppose 0 = a*p, -2*p - b*p - 155 = -5*h. Is h composite?
False
Let q = -10729 + 15768. Is q a composite number?
False
Suppose 10 + 11 = -3*c. Let y be -3*(-1)/(3/(-38)). Let w = c - y. Is w a composite number?
False
Suppose 2 = -5*s - 13. Let b be ((2 - 2)/s)/(-2). Is (-4)/(-2) - (b - 35) prime?
True
Let n(s) = -2*s**3 - 38*s**2 + 4*s + 5. Is n(-21) prime?
False
Suppose -4*y = -6*y. Suppose 0 = 5*d - 2*p - 6, -4*p - 15 = 3*d + p. Suppose w - 21 + d = y. Is w a composite number?
True
Suppose 2*l + p - 34 = 196, 0 = -l + p + 115. Suppose -5*r = -4*r - l. Is r composite?
True
Let u = 42 + 130. Let i = 299 - u. Is i prime?
True
Let k = -7 - -4. Let t = 7 + k. Is ((-46)/(-3))/(t/30) a prime number?
False
Let r(a) = a**2 + 3*a + 2. Let l be r(-4). Let u(v) = 76*v**2 + 5 - 2*v + 10*v - 75*v**2. Is u(l) prime?
True
Let g be 6 - 5 - 27*-3. Suppose 0 = 3*x - g + 13. Is x composite?
False
Suppose 0 = 4*c - 3*d - 237, -2*c + 5*d = d - 116. Suppose -g = 3*v + 3*g - 29, -5*v + c = -5*g. Is v a composite number?
False
Suppose 12*r - 610 = 10*r. Is r a prime number?
False
Is 3381/35 - 2/(-5) a composite number?
False
Is 14670/25 - (-2)/10 a composite number?
False
Let f(c) = -c**3 + 4*c**2 - 5*c + 2. Let y be f(4). Let n(v) = 11*v - 3. Let t be n(4). Let h = 