
Let c = 131 - 44. Suppose -3*b + c = -60. Is b composite?
True
Let n(m) = -115*m**3 - m**2 + 1. Suppose z = -q - 3, 0 = 2*q - 3*z + 4 - 8. Is n(q) a prime number?
False
Let c(v) = 2*v**2 + 2*v - 7. Suppose -3*j + 25 = -3*f + j, 5*f + 2*j + 33 = 0. Is c(f) a composite number?
True
Let n(b) = 2*b**2 - 4*b + 2. Let v be n(2). Is 213/v*6/9 a composite number?
False
Let n(u) = 2*u**2 - 9*u + 1. Let p be n(5). Is p - (12/3)/(-4) a composite number?
False
Is (-662)/(-18) - (-4)/18 composite?
False
Suppose b - 6*b = -10. Suppose -4*g + r + 154 = 0, g + 2*g = -b*r + 121. Is g a composite number?
True
Suppose 4*l - 466 = 2*z, 5*z - 102 = -4*l + 343. Suppose 0*k = 5*k - l. Is k composite?
False
Suppose 23*j - 27*j + 28 = 0. Is j a prime number?
True
Suppose 20 = -4*g - 4. Is ((-46)/g)/(1/6) a prime number?
False
Suppose 0 = -4*r + 10 + 2. Let n be 5 - (-2)/(1 - r). Suppose 0 = 5*d - n*d - 15. Is d prime?
False
Let u(b) = b**3 + 18*b**2 + 11*b + 11. Is u(-12) a prime number?
True
Let d(u) = -3*u - 3. Let w be d(-3). Let g(t) = -w*t + 31*t - 3 + 3*t. Is g(2) composite?
False
Let g = -9 - -7. Let c be -1 - (83 - 6/g). Is (c/(-4))/((-1)/(-4)) composite?
True
Is ((-75)/100)/(((-1)/2804)/1) composite?
True
Let h(o) be the third derivative of 2*o**2 + 1/3*o**5 + 0*o - 1/6*o**3 + 0 + 0*o**4. Is h(1) a composite number?
False
Let b = -101 + 159. Suppose 3*j - 3*c - 560 - b = 0, 5*j = -3*c + 990. Is j prime?
False
Let u = -78 + 279. Suppose -46 + u = p. Is p a composite number?
True
Let j(s) = s**2 + 15*s + 8. Let r be j(-14). Is (-1 - 0) + 94 + r prime?
False
Is 41064/20 + (-4)/20 a composite number?
False
Suppose r + 5*k = -50, 2*r + 14 = -k - 122. Let b(l) = -15*l**3 - 3*l + 3. Let c be b(2). Let p = r - c. Is p prime?
True
Let o = 497 - 336. Is o prime?
False
Suppose -2*g = -2*a - 12, -2*g + g + 9 = -2*a. Suppose 4*f + 5*x = 60, -2*f - x - 15 = -g*f. Is f composite?
True
Let x = 30 + -16. Suppose 5*o - 22 + 7 = 0. Suppose -o*p = -p - x. Is p a prime number?
True
Suppose -6*d + 2*d = 0. Suppose k + 5*o + d*o - 191 = 0, 0 = 2*k - 5*o - 442. Is k a prime number?
True
Let w(p) = 4*p**2 + 9*p + 7. Let b(r) = -r**3 - r + 4. Let k be b(2). Is w(k) a composite number?
False
Let v(q) = -742*q + 3. Is v(-3) a composite number?
True
Let i = -23 + 25. Is ((-127)/i)/(3/(-6)) a prime number?
True
Suppose -216 = 3*c - 48. Let r = -35 - c. Is r a composite number?
True
Let w(p) = 128*p - 1. Let i = 9 + -4. Suppose 5*l = -0*l + 4*z + 13, -3*z = l + i. Is w(l) composite?
False
Let l = -2 - 73. Let o = l - -188. Is o a composite number?
False
Let m be (1 - 2) + 3 + 1 + 1. Suppose 3*o - 144 = 5*t - 429, -186 = 2*o - 2*t. Is o/4*m/(-6) composite?
True
Let s be 2*(0 - (-1)/2). Suppose 2*l + s = 3*w, 3*w - 29 = -2*l - 0*l. Is l prime?
True
Suppose f + 183 = x - 0*f, x = -5*f + 207. Is x a prime number?
False
Let x(u) = -15*u**3 - 2*u**2 + u - 1. Let r be x(2). Let j = 32 + r. Let k = 360 + j. Is k prime?
False
Suppose -5*a + 2*m + 115 = 0, -5*a + m = -139 + 29. Let x = -10 + a. Is x a prime number?
True
Let o(k) = -113*k - 7 + 7. Is o(-1) composite?
False
Let j(r) = -5*r**3 - 6*r**2 + 3*r + 5. Let x(p) = -p**3 + 1. Let i(a) = -j(a) + 6*x(a). Suppose 6 + 3 = 3*l. Is i(l) a composite number?
False
Let w(u) = 3*u - 1. Is w(8) a prime number?
True
Let s be 11536/(-21) + (-2)/(-6). Is (12/(-9) - -1)*s a composite number?
True
Suppose -3*j - 3*n = -1065 - 966, -4*j - 5*n = -2706. Is j prime?
False
Let b(n) = -3*n - 7. Let a be b(-4). Suppose 9*l - a*l = 748. Is l composite?
True
Let z be (3 - 5)/((-2)/5). Suppose 0 = -x - 3*i + 64, -5*x - z*i + 181 + 189 = 0. Is x a composite number?
False
Suppose 5*d + 4 = -2*v + 3, 0 = 5*d - 3*v - 14. Let x = d - 1. Suppose 0*f + 4*f - 60 = x. Is f prime?
False
Is (-761)/(-6) + 16/96 a composite number?
False
Suppose 2*y + 2*q = 7*y - 3374, -3*y + 3*q + 2028 = 0. Is y prime?
False
Suppose -2*m - 14 = -5*t, -5*t = -2*t - 4*m. Suppose t*x - 189 = 143. Is x composite?
False
Suppose 0 = 3*h - 7*h - 2*t + 894, -4*h - 4*t = -896. Is h a composite number?
False
Suppose 4*i + 1 = 117. Suppose -4 = 4*u + 3*w + 3, 5*w + i = 2*u. Suppose u - 8 = -h. Is h composite?
True
Suppose 2*d + d = 15. Suppose 2*b + 0*q + 5 = 3*q, 25 = d*b + 5*q. Suppose 2*s = 5*j - 36 + 6, 4*s + 12 = -b*j. Is j prime?
False
Is (-5 + 10)/((-1)/(-3)) composite?
True
Let s(y) be the first derivative of 6*y**3 - 3*y**2/2 - y + 1. Is s(-2) composite?
True
Let b(c) = c + 54*c**2 + 5*c - 6*c + 1. Is b(-2) composite?
True
Let m(r) = 2*r**2 - 2*r + 7. Let l be ((-3)/2)/(1/(-4)). Is m(l) composite?
False
Suppose 7*c - 4*c - 1101 = 0. Is c a prime number?
True
Let w = -8 - -8. Suppose w = -5*g - 3*c + 410, -g + c = -0*g - 90. Is g a prime number?
False
Let h = -420 + 737. Is h a prime number?
True
Let w = -11 - -13. Suppose -w*u = -u - 89. Is u a composite number?
False
Is 803 - (-1 + -1 + 6) composite?
True
Suppose 2*v - 16 = 3*v. Let c = v + 131. Is c a composite number?
True
Let o(z) = -z**2 - 6*z + 4. Let r be o(-7). Let b(m) = 4*m**2 + 5*m + 2. Is b(r) a prime number?
True
Let h(u) = -u**3 + 8*u**2 - 3. Let n be (-1 - 0) + (6 - -1). Let j be h(n). Suppose -j = -2*m - m. Is m a composite number?
False
Suppose -8*y = -4460 - 2044. Is y a composite number?
True
Suppose -3*j + 489 = -42. Is j a composite number?
True
Suppose n + 3*x = -n + 18, -4*n + x + 36 = 0. Let y(k) = 3*k**2 - k + 1. Is y(n) prime?
False
Let n(w) = 2*w**2 + 2*w - 1. Let d be n(3). Let q(l) = 2*l**2 - 2*l. Let c be q(2). Is d + c/2*-1 a prime number?
False
Suppose -4*h - 1 = 11, 3*h + 68 = o. Is o a prime number?
True
Let u(s) = -s**2 - 4*s + 4. Let b(d) = d**2 + 4*d - 4. Let n(g) = -3*b(g) - 2*u(g). Let a be n(-6). Is (-4 - a)*(-38)/(-8) composite?
False
Suppose -4*w + 9 = -4*y - 23, 3*w - 30 = 5*y. Suppose -121 = -z - 3*p, 0 = -3*p - 1 - w. Is z a composite number?
False
Let s(j) = -3*j**2 - 13*j + 1. Let d be s(-11). Let x = d + 368. Is x a prime number?
True
Suppose -5*v = 5*a - 24810, -3*a + 6*a - 5*v - 14894 = 0. Is a a prime number?
False
Let o(i) = -68*i. Let a be o(-1). Let w = 108 - a. Suppose w = 4*m - 4*f, m + 64 = 5*m + 2*f. Is m prime?
False
Suppose 0*x - 2*x = 8. Let s = x + 4. Suppose -3*f + 12 = -3*n - s*n, f - 6 = 3*n. Is f a composite number?
False
Let k = -880 + 2901. Is k prime?
False
Let v = -33 + 554. Is v prime?
True
Let f(j) = 2*j + 7. Is f(9) a composite number?
True
Suppose -3*m + 1348 = -2735. Is m a composite number?
False
Suppose -5*q = -4*s - 87, q - 57 - 18 = 4*s. Is (-2205)/s - 6/4 a prime number?
False
Let m be -6*(3 + (-20)/6). Suppose 2*f + 0*v - 96 = m*v, -4*f + 3*v = -197. Is f a composite number?
False
Suppose 8 = 2*z - u, 0 = -2*z - 0*u - 3*u - 8. Let g(n) = 2*n - 2. Let x be g(z). Suppose -157 = -x*y - 0*q + q, -398 = -5*y - 3*q. Is y a prime number?
True
Suppose -5*b + 3*z = -26 - 3, -5*b + 32 = -4*z. Suppose 4*w - 8 = 4, b*l + 204 = 4*w. Is (3 - 2) + 2 - l composite?
True
Let t = 1267 + -566. Is t composite?
False
Suppose -767 = -t + 260. Is t prime?
False
Suppose 0 = -3*i + 2*y - 3, 0 = 3*i - 5*y + 2 + 1. Let n = 5 - i. Is (-8)/n*(-9)/2 composite?
True
Let h be (-46)/(-14) - (-6)/(-21). Suppose 3*k - 15 - h = 0. Is k composite?
True
Suppose -5*y + 1 = -3*f - 20, 4*f = y - 11. Let o(z) = -2*z - 2. Let a be o(f). Suppose -a*j + 3*j = 31. Is j a prime number?
True
Let l = 2 + 1. Suppose 4*q = -5*z + 38 + 26, l*q = -z + 37. Is q composite?
False
Let a(j) = -j**3 - 9*j**2 - 4*j - 27. Is a(-9) composite?
True
Let w be ((-556)/6)/(4/(-18)). Suppose -5*r + 2*a + w = 0, a = -3*r + 5*r - 167. Is r a prime number?
True
Let d be 88 + 1 + 0 - -1. Let h = 15 + -10. Suppose 3*x - d = -5*n + 2*n, x = h*n - 180. Is n composite?
True
Let c be -233 - 3*(-4)/6. Is c/(-9) + (-1)/(-3) prime?
False
Let z = 551 - -930. Is z a prime number?
True
Is (-2)/15 + (-12934)/(-30) composite?
False
Suppose -3*k + 42 + 21 = 0. Is k prime?
False
Let d = -1840 + 3213. Is d prime?
True
Suppose -x + 78 = -139. Is x composite?
True
Suppose -24*l = -20*l - 1968. Let u be (-98)/3*21/2. Let y = u + l. Is y a composite number?
False
Let z = 2516 + -1489. Is z a composite number?
True
Let m = -1 + 6. Suppose -3*g + m*r + 401 = 0, g + 2*g - r - 385 = 0. Is g composite?
False
Let i = 367 - 246. Is i a prime number?
False
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