3. Let s be 2 + (-2)/((-2)/1). Suppose -5*b + s*r = -230, r = -q*r. Is b a composite number?
True
Let y(o) = 20*o**3 + 2*o**2 - o. Let h be 1/(-2)*-2*2. Let n be ((-3)/((-9)/6))/h. Is y(n) composite?
True
Let j = -7 - -11. Suppose k - j = 1. Suppose 106 = 2*g - 3*o, -212 = -k*g + g + 4*o. Is g a prime number?
True
Let j = -1 + 1. Suppose j = 4*m + 2*w - 70, -m - 2*m + 51 = 2*w. Is m a composite number?
False
Let n(q) be the second derivative of q**4/2 - q**3 + 3*q**2 + 3*q. Let v(o) = 7*o**2 - 7*o + 7. Let r(i) = 4*n(i) - 3*v(i). Is r(3) composite?
True
Let j(q) = -q**2 - 17*q - 4. Let w be j(-7). Let c(m) = m**2 - 2. Let y be c(-2). Suppose -y*v - w = -5*v. Is v a prime number?
False
Is (-2 - 2 - -3) + 80 a composite number?
False
Let o(l) = 294*l**3 - 2*l**2 - 3*l - 5. Let t be o(-3). Is (-1)/3 + t/(-24) a composite number?
False
Suppose 2*h + 478 = 4*q, 0 = -3*q + q - 3*h + 235. Is q prime?
False
Let n(p) = p**3 + p**2 + p + 1. Let z be n(0). Let g = 1 + z. Is (-3)/(-5 + g)*6 a composite number?
True
Let l = 152 + 59. Is l a composite number?
False
Let w = -9 + 1. Is (-1)/((w - -4)/1164) prime?
False
Let x = 200 - 82. Let k = x - 69. Let i = 100 + k. Is i composite?
False
Let x = -811 + 1142. Is x composite?
False
Let s(c) = -28*c - 2. Let p be s(1). Is 2/(-10) - 3276/p composite?
False
Let v(r) = -r**3 + r**2 + 9. Is v(-4) a prime number?
True
Let u = -54 + 37. Is (-2)/(-1) - u*3 a prime number?
True
Is (981/(-9))/((-1)/5) prime?
False
Suppose 5*l = -b + 6*b - 16770, -4*b = 5*l - 13407. Is b prime?
False
Suppose 2*v - 3 = v, -z = 5*v - 968. Is z prime?
True
Let a be 14/(-2) + -1 - 2. Let x(g) = -7*g + 1. Is x(a) a prime number?
True
Let j(x) = x + 19. Is j(0) a composite number?
False
Suppose -8 = 4*i, -2*k - 5*i + 1832 = -956. Is k prime?
True
Suppose 0*j = -j. Is (j + -1)/((-1)/373) prime?
True
Suppose 5*m + u = 15, 2*m - u - 5 = -3*m. Suppose q = l + 28, 41 = m*q + 4*l - 3*l. Is q a composite number?
False
Suppose 0 = 6*t - 2*t - 20. Suppose -2*u - 2*u - 8 = x, -2*x + 3*u = -17. Suppose -25 = -t*i - x*c, -22 - 12 = -i + 5*c. Is i a prime number?
False
Suppose 5*w - q = -0*q + 85, -4*w + 5*q + 47 = 0. Suppose 4*r = k - 0*r - w, -4*r - 28 = 4*k. Is k/(-6)*0 + 7 composite?
False
Suppose 0 = 6*c - 4*c - 6. Suppose 2*n - 875 = -c*n. Suppose -f - 18 = -n. Is f prime?
True
Let t = 14 - 12. Suppose t*o + 0*o - 4*j - 274 = 0, 3*o - 4*j - 419 = 0. Is o a composite number?
True
Let w(q) = 16*q - 1. Let k(u) = -16*u + 2. Let o(c) = -4*k(c) - 5*w(c). Is o(-5) a composite number?
True
Suppose -4*f + 4*l - 204 = 0, 2*f + 2*l + 43 + 75 = 0. Let m = 12 - f. Is m prime?
True
Let k = -594 + 1073. Is k a prime number?
True
Let d(s) be the second derivative of s**3/6 - s**2 - 4*s. Let v be d(3). Is (v - 11)/(4/(-34)) composite?
True
Suppose -5*y + 2*y + 15 = 0. Suppose -177 = -8*j + y*j. Is j a prime number?
True
Let t(c) = -2*c - 8. Let i be t(-7). Suppose 0*v + i = 3*v. Is (39/6)/(1/v) composite?
False
Suppose -51228 = -8*f - 4*f. Is f prime?
False
Let a = 19 + -19. Is (-2 - a)*(-879)/6 a prime number?
True
Suppose 0 = -4*m + 2*v + 2074, m - 565 = 4*v - 64. Is m a prime number?
True
Let g(p) = -10*p**3 - 4*p**2 - 3*p - 5. Is g(-4) a composite number?
True
Let g(p) = -p - 10. Let m be g(-10). Suppose y - z - 3 = m, -4*y + 4*z = -2*y - 14. Is -2*(y - 53/2) a composite number?
True
Let w be 2036/12 - (-1)/3. Let x = 469 - w. Is x a composite number?
True
Is 82*(-3 - (-5)/2)*-17 a composite number?
True
Let z(d) = 6*d**3 + d**2 - 1 - 3*d**2 + 2*d + 0 + 14*d**3. Let o be z(2). Is o/(-1 - (0 - 2)) composite?
True
Suppose 2*h + 2435 = 7*h. Is h a prime number?
True
Let y be 6/18 - (-16)/6. Let g be ((-8)/(-2))/(4/10). Suppose 0 = -q + r + g - 0, y*q = 2*r + 33. Is q a composite number?
False
Suppose 4*t + 4*k = 1008, 5*t + 667 = -3*k + 1925. Is t prime?
True
Suppose -4*s + 5*w - 10 = -8*s, 4*w - 8 = 2*s. Suppose -3*u - u + 148 = s. Is u a composite number?
False
Suppose -9 = 5*v - 2*v, -9 = -3*y + 4*v. Let b be -98 + 2/(-2)*y. Let h = b + 256. Is h a composite number?
True
Let t = 17 + -17. Suppose -h + 0*h + 211 = t. Is h composite?
False
Suppose 3 = g + 9. Let w = -3 - g. Suppose -4*l = -5*h + 298 - 93, -5*l - 136 = -w*h. Is h composite?
False
Is (-35)/10*-158 - -4 prime?
True
Let i = -19 + 70. Is i prime?
False
Suppose 0*m + 1254 = 2*m + 2*n, 3143 = 5*m + 3*n. Is m prime?
True
Let t = -32 + 9. Let p = t - -34. Is p a composite number?
False
Is (14511/(-27))/(-7) - 2/(-9) prime?
False
Suppose 2*y = 2407 + 1123. Is y composite?
True
Let k be (1 - 1)/(-1) - -2. Suppose 2*v + k*a - 30 = 0, 0 = -3*v + v + 3*a + 15. Suppose -3*w + z + v + 12 = 0, 0 = -3*z - 9. Is w a prime number?
True
Let f(b) = -b**2 - 8*b + 12. Let k be f(-9). Suppose -1 = z - k. Suppose -c - 49 = -z*c. Is c composite?
True
Let y be (-24 - -1)/(0 - -1). Let l = y - -36. Is l a prime number?
True
Suppose 3*d + 7 = 1. Is (-93)/d*(-14)/(-3) composite?
True
Suppose 0 = -3*q - 2*p + 21, 4*q + 5*p - 10 = 25. Let s = q + 5. Is s prime?
False
Let i be 27/5 - 2/5. Suppose 5*k = -5*l + 260, l - 54 - 16 = i*k. Let y = 266 - l. Is y composite?
False
Let z(v) = -v**3 + 11*v**2 - 7*v + 2. Is z(7) composite?
False
Let u(y) = y**3 + 6*y**2 + 6*y + 3. Is u(-4) prime?
True
Suppose 5*p + 0*p = 0. Let y = -6 - p. Is (-229)/(-3) + (-4)/y prime?
False
Let i = 808 - -202. Suppose -5*f + o - 3*o + 1259 = 0, -i = -4*f - 3*o. Is f composite?
False
Suppose 7*c - 3*c - 24 = 0. Suppose -4*u - 1334 = -c*u. Is u composite?
True
Suppose 63 + 153 = 4*g. Let p = g - 35. Is p composite?
False
Let q(o) = 0 - 5 - 3*o + 1 - o. Let k(h) = 4*h + 5. Let z(t) = -3*k(t) - 4*q(t). Is z(5) composite?
True
Let h(s) = -6*s**2 - 8*s - 6. Let n(j) = -j**2. Let a(x) = -h(x) + 3*n(x). Is a(-7) a prime number?
True
Let n = -54 + 30. Is 3 + -4 - 1 - n a composite number?
True
Let v = 41 + -26. Is v a composite number?
True
Let n(g) = 2*g**2 + 19*g - 14. Is n(-16) composite?
True
Let l = -220 + 316. Let i be (2 - 1) + l + -1. Suppose -254 = -2*x - i. Is x a composite number?
False
Let n = -200 + 306. Let f = 200 - n. Is f a composite number?
True
Let o = 206 - -1233. Is o a composite number?
False
Let p(k) = -40*k - 1. Suppose w = 3*w + 6. Is p(w) a prime number?
False
Is (23/2)/(2/20) composite?
True
Let z(v) = 237*v + 10. Is z(7) a prime number?
True
Suppose 0 = 2*p - 0*p - 188. Suppose -782 = -5*i - 2*d, -2*i - 2*d + 214 + p = 0. Suppose l + l = i. Is l a prime number?
True
Let k = 463 - 110. Let p = k + -220. Is p a composite number?
True
Let t = 9 - 7. Suppose t*i - 5*p = 766, p + 0*p + 1496 = 4*i. Is i a composite number?
False
Let f = 2 + -6. Let z = -3 - f. Is 1 - (z + -24 - 2) composite?
True
Let r = -1 - -6. Suppose -r*b + 6 + 9 = 0. Suppose -p + o = -8, -b*o = 4*p - 5*o - 36. Is p composite?
True
Let p = -1546 + 2789. Is p prime?
False
Let b = 135 - 274. Let j = -91 - b. Suppose 2*i - h = 24 + j, 0 = -3*h + 6. Is i a prime number?
True
Let g = 730 - 455. Suppose g + 147 = 2*m. Is m prime?
True
Suppose -5*a + 2*u = -9, 3*u - 5*u = -2*a. Let z = -5 - -3. Is (a - 0)/(z/(-26)) composite?
True
Let c(k) = -k**3 + 9*k**2 + 7*k + 1. Let v be c(10). Let s = 8 - v. Let u = -26 + s. Is u a composite number?
False
Suppose -l = -4*x - 4*l + 8, 8 = 4*x - 5*l. Let q be 2039/7 - 2/7. Suppose -r + q = x*r. Is r prime?
True
Let j(z) = z**2 - 4*z - 6. Let w = 16 - 9. Suppose -3*d = -4*d + w. Is j(d) a composite number?
True
Suppose 0 = 3*o - 3*p + 2751, 3*o - 2*p - 1464 = -4215. Let j = -520 - o. Is j composite?
False
Is ((-1801)/3)/((-2)/6) prime?
True
Suppose 3*a + 2*a + 830 = 0. Let t be (309 + (-2)/(-1))/(-1). Let i = a - t. Is i composite?
True
Let z(i) = 11*i**3 - i. Let y be z(-1). Let o(s) = 32*s. Let r be o(-1). Let k = y - r. Is k composite?
True
Let t = 1282 - 780. Is (t/(-3))/((-30)/45) a prime number?
True
Let u(x) = 11*x + 6. Let h be u(6). Let q = h - -2. Is q composite?
True
Suppose 5*s = 3*s + 6. Suppose -5*i + 165 = -0*i. Suppose 4*z + 3*j = z + 54, s*j = -2*z + i. Is z prime?
False
Let k(u) = -u + 5. Let r be k(3). Is r/(-5) + (-387)/(-5) a composite number?
True
Suppose 5*h = 3*h + 5*b + 1516, 3761 = 5*h + 2*b. Suppose -4*k + h = -k. Is k a prime number?
True
Suppose -3*a = -a + 4*p - 588, 870 = 3*a + 2*p. Suppose -2*x - s + a = s,