
True
Let a(z) = -31*z - 24. Is a(-11) composite?
False
Suppose -r + 2*q = -0*r - 9, 5*q + 3 = -4*r. Suppose -r*v + 53 + 178 = 0. Is v prime?
False
Is 23/((-2)/4*-1) a prime number?
False
Let f(g) = -g**3 - 4*g**2 + 3*g + 27. Let q(c) = 2*c**3 + 7*c**2 - 5*c - 53. Let l(h) = -7*f(h) - 4*q(h). Let b = -5 - -5. Is l(b) a prime number?
True
Let g(q) = 4*q**2 + 2*q - 1. Let p be g(1). Suppose d = 6*d - p*i - 1335, -5*d + 1331 = -3*i. Is d a composite number?
True
Let j = 11 - 12. Is (j - 12/(-8))*94 a prime number?
True
Let f(c) = -c + 159. Let w be f(0). Let o be ((-12)/8)/((-9)/(-12)). Is o*(w/(-6) - -3) prime?
True
Let h(y) = -32*y**2 + 6*y. Let u be h(4). Is 8/(-44) - u/22 a prime number?
False
Suppose 2*b = -0 + 12. Is (-892)/(-6)*b/4 a prime number?
True
Suppose -h - 2*h + 9 = 0. Is (103/2)/(h/6) a prime number?
True
Suppose -5*u - 5*k = -1455, -3*k + 172 - 1301 = -4*u. Suppose 5*s + u = 876. Is s composite?
True
Let c(p) be the third derivative of -p**5/60 + 3*p**4/8 + 5*p**3/6 - p**2. Let w be c(9). Suppose r = -2*r - 6, w*a - 45 = 5*r. Is a composite?
False
Suppose -5*g = -15 - 10. Suppose -w - g = 3*j - j, -3*j - 10 = w. Is (-548)/(-10) + 1/w a prime number?
False
Let h = -7 - -5. Let q be h/5 + (-246)/10. Let z = 30 - q. Is z a composite number?
True
Suppose 0 = 3*o + 3*b - 0*b - 501, -o + 2*b = -155. Is o prime?
True
Suppose 0 = 4*i - 17 + 5. Let l(k) = -2 - 1 - 2*k**2 - 3*k**i + 2 - 2*k. Is l(-2) composite?
False
Let x(u) = u + 5. Let n be x(-5). Suppose n*m = m + 1. Is m/((-1)/38) + -1 a composite number?
False
Suppose -l + 36 = 3*h, -3*h + 5*h + 3*l - 24 = 0. Suppose 0 = -p - 5*a - 13 - h, 2*a + 10 = -4*p. Suppose v + p*v = 4*b - 1058, b - 2*v = 261. Is b prime?
False
Let u be 8185/15 + 4/(-6). Suppose i - 100 = -2*m, -m - u = -5*i + 4*m. Is i a prime number?
False
Let r = -373 + 1250. Is r composite?
False
Let y(b) = 2*b**2 - 24*b + 15. Is y(-11) a composite number?
False
Suppose 0 = 2*b + 3*r - 7*r - 8, 3*r = -4*b - 6. Suppose 3*z - 14 - 133 = b. Suppose 4*s = 27 + z. Is s prime?
True
Suppose 5*x - 879 = 2*x. Is x a composite number?
False
Let i(u) = 9*u + 12. Let o be i(6). Suppose -5*s + 49 + o = 0. Is s composite?
False
Suppose 5*b = 8750 - 1945. Is b composite?
False
Suppose 4*l - 30 = -l. Is (-449)/(-3) - l/9 prime?
True
Let m(h) = 6*h**2 + h + 3. Let k be m(-5). Let c = k - 95. Is c composite?
False
Suppose 2 = -m - 4*t - 3, 3*m - 5*t - 2 = 0. Is m*79/(-2)*2 prime?
True
Let n(p) = 12*p - 12. Let q(b) = 1. Let z(s) = -n(s) - 5*q(s). Is z(-3) prime?
True
Suppose -s - 1 = -x - 0*s, 3*x - 4*s = 0. Let n = -2 + x. Suppose -2*v + 140 = n*v. Is v prime?
False
Let m(w) = -w**3 - w**2 + 2*w - 7. Is m(-9) prime?
False
Suppose 3*u = u + 20. Let t = 23 - u. Is t a composite number?
False
Let a = 1966 - 1221. Is a a prime number?
False
Suppose 0 = -5*x - 2*c - 803, 5*c - 86 + 901 = -5*x. Let f = x - -270. Is f a composite number?
True
Let s be 3/9 - 109/3. Let n(r) = r**2 + 2*r - 8. Let k be n(7). Let i = s + k. Is i a composite number?
False
Is -7*(-4)/4*53 a composite number?
True
Let q(z) = -2*z + 32. Let v be q(0). Let x = v + -10. Is x a composite number?
True
Is (6/(-15))/(6/(-30255)) composite?
False
Let r(x) be the second derivative of 0 + 1/10*x**5 - 1/12*x**4 - 1/2*x**3 + 3*x - 1/2*x**2. Is r(3) a prime number?
False
Let s(m) be the second derivative of m**4/12 - m**3/6 + 7*m**2/2 - m. Is s(-5) a composite number?
False
Let v = 159 - 108. Let l = v - 29. Is l a prime number?
False
Let p be 34/8 + 2/(-8). Suppose p*o - 278 = 178. Suppose 4*j + 38 - o = 0. Is j a prime number?
True
Suppose -4*s - 226 = -5*x - 0*s, -2*x - 2*s = -94. Is x a prime number?
False
Let n = 28 + -25. Let a(s) = 2 - s**3 + 2 - 7 + 7*s**2. Is a(n) a composite number?
True
Suppose -4*q = -2*w - 2946, -q - 2950 = -5*q - 2*w. Is q prime?
False
Suppose a + 1 + 3 = 0, 1127 = 5*d - 3*a. Is d a prime number?
True
Suppose 5*n - 93 - 343 = -g, 5*g - 5*n = 2150. Is g a prime number?
True
Suppose -183 = -5*q + 372. Is q composite?
True
Let j(y) = -y**2 + 14*y + 12. Let u be j(11). Suppose 4 = 3*z + 13, 0 = -3*f - 4*z + u. Is f prime?
True
Suppose -2*s = 4, -2*s + 20 = 3*l - 6*s. Suppose 14 - 44 = -5*r. Let c = r + l. Is c a composite number?
True
Let z = 592 + -291. Is z a prime number?
False
Suppose 4*a - n - 1646 = 0, 2*n + 313 + 1335 = 4*a. Let v = a - 208. Let r = v + -124. Is r a prime number?
True
Suppose -3*m = m - 1016. Is m composite?
True
Let v(w) be the second derivative of w**4/6 - w**3/3 - 2*w**2 - w. Let n be v(5). Is 100/n - 4/(-18) prime?
True
Let s(o) = -333*o**3 + 4*o**2 - 3*o - 5. Is s(-2) prime?
False
Suppose 13 + 11 = -4*b. Let n be (3 + -1)*177/b. Let i = 198 + n. Is i a composite number?
False
Suppose -12 = 4*n - 3*n. Let t(r) = -r**3 + 4*r**2 + 5*r - 4. Let g be t(5). Is 2120/n*6/g a prime number?
False
Suppose 0*h - 27 = -h. Let r be (-6)/h - (-29)/9. Suppose 26 + 31 = r*k. Is k a prime number?
True
Suppose 0 = -h - 2, -h + 38 + 25 = p. Is p a prime number?
False
Let k be (3/(-2))/(4/16). Let h be (27/(-6))/(1/k). Suppose 3*x = h + 3. Is x a prime number?
False
Let u = 35 - -8. Is u composite?
False
Let a = 594 - -197. Is a a prime number?
False
Let j be 1 - 0 - (-3)/(-1). Let d be (12/18)/(j/(-6)). Suppose f + 4*c = 31, 38 = -d*f + 5*f + c. Is f prime?
True
Suppose 0 = -3*r - 2*r. Suppose 2*d - d - 91 = r. Is d a composite number?
True
Let u = 15 - 14. Let f(h) = -93*h. Let m(t) = 7301*t. Let p(q) = 392*f(q) + 5*m(q). Is p(u) composite?
True
Suppose -4*r + 3*r - 2*s = -745, -3*r = 2*s - 2247. Is r prime?
True
Let a(s) = -s**2 + s + 1. Let g be a(-7). Let h = 86 + g. Is h a composite number?
False
Let f(n) = 3*n**3 + n**2 - 1. Suppose -2*m + 0 = 2. Let r be f(m). Is 2*(441/(-6))/r a composite number?
True
Suppose d = 3766 + 223. Is d a prime number?
True
Let w(z) = -z**2 - 16*z + 9. Let y be w(-13). Let u = 103 - y. Is u prime?
False
Suppose 398 = 4*q - 6*v + v, 2*q + 4*v - 186 = 0. Is q a composite number?
False
Suppose 0 = -9*t + 4*t. Suppose t = 3*o - 9. Suppose 4*i - 280 = -4*z, -131 = -5*z + o*z + i. Is z prime?
True
Suppose -4*q - 8 = 0, -m + 5*q = -4 - 8. Suppose -4 = -2*u - 2*d - d, -5*u = -m*d - 29. Suppose -v - 388 = -u*v. Is v a composite number?
False
Suppose 0*r = -r + 55. Is r a composite number?
True
Suppose -5*j + 18 = q, 7*j - 3*j - 5*q = 26. Suppose 2*m - 2*f - 28 = 3*f, j*f = -3*m + 19. Is m prime?
False
Let s = -338 - -239. Suppose -5*i - 184 = -o - i, 4*o + 4*i = 756. Let b = s + o. Is b prime?
True
Suppose 0 = -5*h + h + 488. Is h prime?
False
Suppose -101 = 3*n - 464. Let g = n - -12. Is g composite?
True
Is (-2 - 2 - -1) + (-3124)/(-4) a composite number?
True
Is (61081/(-85))/((-1)/5) a composite number?
False
Let v be (-5)/(-2)*(4 - 0). Let p(b) = -b**3 - b**2 + 2*b + 1. Let q be p(-3). Suppose -o = -q - v. Is o a composite number?
False
Suppose 7 = -3*d - 2. Is ((-537)/9 + 4)*d prime?
True
Let m = -120 + 39. Let j = m + 136. Is j a composite number?
True
Let v(n) = -n - 2. Let b be 2/(-8) + 14/(-8). Let p be v(b). Suppose p = 4*t + 2*l - 132, 2*l = -3*t - 0*l + 99. Is t composite?
True
Suppose 0 = 5*l - 2*a - 20, 0 = -l + a + 5 + 2. Let m be (-324)/l*(-1 - 1). Suppose -2*t + 3*v + 164 = 0, -5*t + m + 81 = -5*v. Is t a prime number?
True
Suppose 6*u = 4*u. Suppose 5*j - 75 = -r, u = -3*j - 3*r + 8 + 37. Is j composite?
True
Let o = 0 + 126. Is (17/(-3))/((-6)/o) prime?
False
Let d = -3 - -3. Suppose d*j = j. Suppose -4*z - 147 = -5*t, j = 3*t - 2*z + z - 91. Is t a prime number?
True
Let l = 254 - 100. Suppose 5 = 3*n - l. Is n a composite number?
False
Is 909 - ((-8)/10)/((-4)/20) a composite number?
True
Suppose -4*p + 96 = -t, -2*p + t = -0*p - 50. Is p prime?
True
Suppose -3*a + 3*v - 6 = 0, 4*a - 5*v + 10 = -3. Let r = 39 - 7. Is r + a + (0 - -2) a prime number?
True
Let k(w) = -22*w + 5. Is k(-11) prime?
False
Suppose h + 15 = 3*d, -1 - 4 = -h - d. Let x(u) = u - 2. Let a be x(h). Is ((-5)/a)/((-4)/(-16)) prime?
False
Suppose -2*k + 2243 = 3*a, -2*a + 6*k + 1470 = k. Is a a composite number?
True
Let p = -7 + 9. Suppose w = -2, 7*x - p*w = 2*x + 609. Is x prime?
False
Is 3308/10 + (-2)/(-10) prime?
True
Let y be -6 - -9 - (-2357 - 0). Is y/15 - 2/6 prime?
True
Let j(l) = 5*l - 6. Let w(d) = -d - 6. Let s b