-5. Let p be 50/6 - a/6. Let b = p - -27. Is b prime?
False
Suppose 4*g = 16 + 24. Suppose 3*z - 5*z = -g. Suppose -429 = -z*d - 2*y + 3*y, -5*y = -4*d + 360. Is d a prime number?
False
Suppose -p = p - d - 315, -160 = -p + d. Is p a prime number?
False
Suppose 0*s = 5*l - s - 3, 0 = -2*l - s + 4. Let k = l + 2. Is k prime?
True
Let t(m) = 2*m**2 - 2 - 3*m**2 + 5*m + 1. Suppose -3*r + 1 + 11 = 0. Is t(r) a composite number?
False
Let x be (30/(-4))/((-2)/412). Is 1/(-4) - x/(-20) a composite number?
True
Is -2*(-3)/(-2) + 898 prime?
False
Let m(f) = 37*f + 6. Let r be m(-7). Is (-6)/(-12) - r/2 composite?
False
Suppose 3*t - 2*z = -4, t - 4 = -4*t - 2*z. Suppose 5*i = 3*f + 821, f + 3 - 1 = t. Is i a prime number?
True
Suppose 0 = -3*u - 5*j - 4, -2*u + 1 = 3*j + 3. Let s(y) = -y**3 + 2*y**2 + y + 1. Let f be s(u). Suppose 0 = -2*r - f*r - 3*z + 23, 4*z = 2*r - 30. Is r prime?
True
Is 307/4 - 8/(-32) a prime number?
False
Let i = -362 + 244. Let w = i - -231. Is w composite?
False
Let u = -1000 - -1907. Is u composite?
False
Let j be 2 + (217 - (1 + -2)). Let o(x) = 15*x**2 + 2*x - 1. Let n be o(-2). Suppose j - n = 5*k. Is k prime?
False
Suppose -n + 2*n = 3. Suppose -3 = w - 1, -n*w - 31 = -b. Is b a prime number?
False
Let v be (-3 - 8/(-4))*353. Let n = 600 + v. Is n prime?
False
Let c(g) = -102*g + 10. Let p be c(-10). Suppose p + 25 = 5*l. Is l a composite number?
False
Suppose -i + 4*i = -99. Let x = i - -50. Suppose 0 = -2*v + 21 + x. Is v a composite number?
False
Is (-2631)/(-9) - (-2)/3 a composite number?
False
Let v(u) = -3*u**3 - 6*u**2 + 3*u + 31. Is v(-6) composite?
True
Let u = 148 + -42. Suppose -5*h + u = -3*h. Is h a composite number?
False
Let y be 2/1 + 35*5. Suppose -4*m + m + y = 0. Let x = m + -37. Is x a composite number?
True
Suppose y - 11 + 5 = 0. Suppose 2*u - 5 = -4*k + 1, -4*u = 5*k - y. Suppose -40 = -k*c - 2*c. Is c a composite number?
True
Let q(o) be the first derivative of 4*o**3/3 - 5*o**2/2 - o - 1. Let w(g) = -g**3 + 9*g**2 + 9*g + 6. Let x be w(10). Is q(x) a prime number?
True
Suppose 0 = 3*g - 132 - 135. Is g prime?
True
Let m(d) = d**3 - d**2 + 2*d + 3. Let r be (-28 + (-6)/3)/(-2). Let c = r + -10. Is m(c) prime?
True
Let z be (-31)/(-2)*4 + 3. Suppose -y + z = -3*x, -4*y = 2*x + x - 320. Is y a prime number?
False
Suppose 0 = 4*b - g - 0*g - 2545, -4*b + 2515 = 5*g. Suppose 7*x = 2*x + b. Is x prime?
True
Suppose -3*j - 3*q + 5*q = 10, -4*j - 2 = 3*q. Let r be j/(-10) - (-476)/20. Is (r/(-20))/((-4)/130) prime?
False
Suppose -68 = -2*u + 86. Is u a composite number?
True
Suppose -3*m - 5*l + 66 = -m, 3*l + 44 = m. Let d = m + -23. Is d a composite number?
True
Let l(k) = k**3 - 4*k**2 + 1. Let h be l(4). Let r(b) = 9*b**3. Is r(h) prime?
False
Suppose -25*v - 3876 = -37*v. Is v a prime number?
False
Is 1938 - (6 + -4) - -3 composite?
True
Let m = -2 - -9. Suppose 0 = -4*p - 5*k - 16, 2*p - 5*k - 20 = m*p. Is (-50)/p - 12/8 a composite number?
False
Is (-1 + 1011)*(-4)/(-8) a prime number?
False
Let z be 1 + (4 - 6/3). Let d(t) = 83*t + 4. Is d(z) a prime number?
False
Let k = 4 - 4. Let y(z) = z + 4. Let q be y(k). Suppose -q = a - 29. Is a composite?
True
Let m(i) = 13*i**3 + 3*i**2 + 2*i - 17. Is m(5) a prime number?
True
Suppose 69 - 10 = i. Is i prime?
True
Let y(n) = n**2 - 9*n + 2*n - 1 + n**2. Is y(-6) a prime number?
True
Let h = -2 + 0. Let s(v) be the second derivative of 5*v**4/12 + v**3/2 + 11*v. Is s(h) prime?
False
Suppose 3*h + 13 + 30 = 2*o, h - 9 = -4*o. Let t = h + 15. Suppose -t*s = -33 - 27. Is s a prime number?
False
Suppose -4*p = 3*g - p - 3, 14 = -g - 4*p. Suppose -2*c + 179 = 5*a, 3*c + 120 = -3*a + g*a. Is a a composite number?
False
Suppose -3*u - 2 - 1 = 0. Is 3/u + 33 + 7 a prime number?
True
Let h(y) = y**2 + 6*y - 7. Let l be h(-7). Suppose 4*a - j - 6 - 17 = l, 1 = j. Is ((-381)/a)/1*-2 a prime number?
True
Suppose u - 3*q + 18 = -10, -2*u = -3*q + 47. Let w = 74 + u. Is w composite?
True
Let g = -17 - -31. Let n = -28 + g. Is 4/n - 69/(-21) a prime number?
True
Let r be (-1 + 1)/(9 - 8). Suppose -95 + 1043 = 4*g - 2*t, -5*g + 3*t + 1187 = r. Is g a composite number?
True
Let v(p) = 893*p + 2. Is v(1) prime?
False
Suppose -4*d + 12 = d - 3*x, 0 = -2*d - 5*x + 11. Suppose 1497 = d*t + 5*k + 233, 0 = 3*t + 3*k - 1254. Is t composite?
True
Let r(o) = -o**2 + o - 4. Let j be r(0). Is 1/j - 231/(-12) composite?
False
Is 2297 - (-5 - (3 + -12)) a composite number?
False
Suppose -5*p = 36 - 1. Let j = p - -5. Is (-18 - 1)*(1 + j) composite?
False
Let a(u) = 63*u**2 - 7*u - 73. Is a(-6) a prime number?
True
Is (1857/6 - -2)*2 a composite number?
True
Let s = 181 + 348. Is s a composite number?
True
Suppose -24 = -5*k - 14. Suppose k*m = -3*u + 305, -5*m + 5*u = -m - 643. Is m a prime number?
True
Let i(n) = -6 - 2*n + 0 - 3*n - 2*n**2. Let r be i(-7). Let g = r + 107. Is g a composite number?
True
Let d(g) = -6*g**3 - 4*g**2 - 3*g. Let s be d(-2). Suppose 2*h + s = -3*b, 0 = b - 4*b + 6. Let y = h - -41. Is y prime?
True
Suppose -3*h + 4281 = 11229. Let b = -1645 - h. Is b prime?
False
Is (-38)/(-171) + -22687*2/(-18) a prime number?
True
Suppose 3*v = -9, -2*v - 68 = -j - 7*v. Is j a composite number?
False
Let d(x) = -2207*x - 8. Is d(-1) composite?
True
Let m(v) = 81*v**2 - 2*v - 1. Suppose 5*o - 5*d = 15, -3*o + 1 = 2*d + 12. Is m(o) composite?
True
Let x = -97 - -186. Is x a composite number?
False
Let y(m) = -m**2 + m - 4. Let i be y(0). Is i*(-1 - 369/12) prime?
True
Let i(q) = q**3 + 4*q**2 - 8*q + 7. Let b be i(-7). Let k = 121 + b. Is k composite?
False
Suppose -4*u + 1120 = -204. Suppose 97 - u = -2*z. Suppose -2*x - 3*s = -27 - 22, 0 = -5*x - 2*s + z. Is x prime?
True
Is (4 - (1259 - -4))/(-1) a composite number?
False
Let w(m) = -m**2 + 36*m - 27. Is w(16) a composite number?
False
Suppose -14 = -x - 2*l + 511, -x + 5*l + 553 = 0. Is x prime?
False
Let k be ((-1)/2)/((-6)/1128). Suppose -2*z - 32 = -k. Is z a prime number?
True
Let z = 0 + -2. Let a(p) = -13*p**3 - 4*p**2 - 9*p - 11. Let c(s) = 6*s**3 + 2*s**2 + 5*s + 6. Let l(n) = 3*a(n) + 5*c(n). Is l(z) a composite number?
True
Let h(l) = 71*l + 25. Let c(t) = -14*t - 5. Let x(p) = 11*c(p) + 2*h(p). Is x(-6) a prime number?
True
Let n(v) = -v**2 - 6*v - 5. Let q be n(-8). Let k = 69 - q. Suppose 0 = 4*z - l - k, 2*l - 6 = -l. Is z prime?
True
Let y(p) = 1903*p - 2. Is y(1) composite?
False
Let d = -12 + 10. Let n be 178 - (-4)/d - -3. Suppose -n = -5*k + 116. Is k prime?
True
Let i = 14 + -12. Suppose 4*a = h - i*h + 349, -3*a = 2*h - 683. Is h a composite number?
False
Is 4226/10 + (-12)/20*1 a prime number?
False
Let y be 14/10 - 3/(-5). Is (y*-1)/(1/(-3)) a prime number?
False
Let q(k) = 30*k**2 - 9*k - 28. Is q(15) composite?
True
Suppose -3*l - 4*n = -0*n, -5*l = -5*n. Suppose -4*m = -l*m. Suppose m = -5*a + 233 - 3. Is a prime?
False
Let v be 1*(-3 - -3) + 3. Suppose 0 = r + v*p - 2*p - 40, -3*r - 2*p = -115. Is r a composite number?
True
Let b = 219 - 6. Is b prime?
False
Let k = -11 + 15. Let v = k - -1. Suppose 0 = -3*d - x + 461 + 313, 4*x = v*d - 1273. Is d a composite number?
False
Let d(t) = 6*t**3 + 5*t**2 - 7*t - 7. Is d(3) composite?
False
Suppose -3*a - 3*p + 5 = -10, 3*p = 5*a - 1. Suppose -2*o - a*o = -508. Is o prime?
True
Let p(z) = -z**2 + 9*z + 12. Let r be p(10). Suppose -4 = -r*k + 4. Is (-836)/(-2)*k/8 prime?
False
Let q(p) = 3*p**2 + 3*p + 3. Let o = -11 - -8. Is q(o) prime?
False
Let s be (-3)/(9/(-3))*-9. Let c(j) = j + 6. Let u be c(s). Let i = u + 5. Is i composite?
False
Let v(z) = 5*z + 13. Let i be v(-12). Let r = i + 238. Is r a composite number?
False
Let i be (-92)/20 - 2/5. Let f = i + 4. Is 3/((-2 + f)/(-33)) a composite number?
True
Let x(t) = t + 17. Let o be x(-12). Suppose -s = -o - 14. Is s a composite number?
False
Let z = 0 + 4. Let s(a) = a**3 - 4*a**2 + a - 1. Let n be s(z). Suppose 0 = b + n*b - 132. Is b prime?
False
Suppose 4*y = -3*k - 751, 2*k - y - 4*y + 539 = 0. Let b = -100 - k. Is b composite?
False
Let m(a) = 4*a + 2. Is m(9) a prime number?
False
Let f(u) = 5*u**2 - 36*u - 24. Is f(17) composite?
False
Let k(b) = 180*b + 23. Is k(7) a composite number?
False
Let i = -33 + 54. Let u = 51 + -20. Let z = u - i. Is z prime?
False
Suppose 3*q - q = 6.