k = -1165. Is y a prime number?
True
Let c(j) = j**3 + 10*j**2 + 9*j + 2. Let z be c(-9). Is z/10 - (-3620)/25 prime?
False
Let m(o) = o**2 + 2*o - 2. Let t be (2/(-4))/((-1)/12). Is m(t) a prime number?
False
Let y(j) = 54*j**2 + 1. Suppose -3*q = 2*s - 7, -3 - 5 = 3*q - s. Is y(q) a prime number?
False
Let y = 963 - -1370. Is y a composite number?
False
Suppose 0 = 5*w - 5615 - 7280. Is w a prime number?
True
Let l = 1903 - 1087. Let m(b) = -b**2 + 11*b - 3. Let f be m(11). Is (-1)/f - l/(-9) a composite number?
True
Suppose -5*i = -3*i - 174. Is i a prime number?
False
Suppose -3112 = -u + 1653. Is u a composite number?
True
Suppose -d - 5*r - 3 = 0, -d = -4*d + 5*r + 31. Let t(g) = 0 - d*g - 14*g + 1 + 3*g. Is t(-2) a composite number?
False
Let c(l) = -2*l**3 + 8*l**2 + 4*l + 8. Let d(g) = g**3 - 8*g**2 - 4*g - 7. Let u(a) = -2*c(a) - 3*d(a). Is u(-6) prime?
True
Let w(h) = -11*h - 1. Suppose 5*j + 2*g + 54 = 0, 5*g = -9 - 1. Is w(j) prime?
True
Let l(b) = -b**3 + 8*b**2 + 6. Let i be l(8). Let a = i - 11. Let r = a + 20. Is r a prime number?
False
Suppose 2*x - x + 3*v = 304, x - 286 = 3*v. Is x prime?
False
Let b = -83 - -568. Is b prime?
False
Let n = 1 + 2. Suppose n*l = -d + 30, -4*d - l = -2*l - 81. Is d prime?
False
Let b(h) = 266*h - 19. Is b(3) a prime number?
False
Let s(i) = 32*i**2 - 14*i + 4. Is s(5) composite?
True
Suppose 2*r + 2*r - 27 = -5*s, 0 = -3*s + 4*r + 29. Let d(i) be the first derivative of i**3/3 - i**2/2 - 3*i + 1. Is d(s) a composite number?
True
Let x(n) = 694*n**2 - 5*n - 4. Is x(-1) prime?
False
Suppose m = -2*m. Suppose m = -4*a + 106 + 98. Suppose -o + k + 3*k + a = 0, 2*o - 3*k = 82. Is o prime?
False
Let v be 6/15 + (-13)/(-5). Let c = 7 + -4. Suppose 5*q = 20, c*w + q - 37 = -v*q. Is w a prime number?
True
Let x(c) = c**2 - 13*c + 6 + 0*c**2 + c**2 + 0*c**2. Let y be x(10). Let p = 107 - y. Is p prime?
True
Let w be 146*3/6*-1. Let d = 149 + w. Suppose 2*o - 50 = -2*h, -4*o + d - 22 = 2*h. Is h prime?
True
Let y be 4*3/6 + 16. Suppose 0*k + y = 3*k. Suppose -m = 5, 0 = -2*i - 5*m + 7 + k. Is i a composite number?
False
Is 2/(-5) + 14414/10 a prime number?
False
Suppose -3*n = 3, 3 = -3*o - 2*n - 2. Let h be 82 + 0 + o + -1. Suppose 2*i = -2*m + h, i + 1 = -3*m + 47. Is i a prime number?
True
Let m be (1 + 0)*(103 - -3). Let f = 5 + m. Is f a prime number?
False
Let b(d) be the third derivative of -d**4/24 + 3*d**3 + 3*d**2. Let f be b(0). Let y = f + -7. Is y a composite number?
False
Suppose 82 = -z + 324. Suppose 313 = 5*d - z. Is d prime?
False
Suppose 0 = m + 5*b + 4, -5*m - 5*b + 19 = -1. Suppose -4*t = -5*o - 305, -2*o = 2*t - m*o - 160. Suppose k + k = t. Is k prime?
False
Let z = -896 + 1899. Is z prime?
False
Suppose -2*h - 6 = 0, 3*h + 0*h = -3*r + 3. Is r/(12/(-9)) + 766 composite?
True
Let k be 2 - 3*3/9. Let j = k + 4. Suppose -j*o + 265 = 5*s, 3*s + 27 = 4*o - 213. Is o composite?
True
Suppose 2*y - 1 - 9 = 0. Let v(w) = -w**3 + 7*w**2 - 6*w + 3. Is v(y) a prime number?
True
Suppose 3*o + 4*g - 76 = 0, 0 = -2*o + g + 4*g + 20. Suppose 0 = 5*n - 455 - o. Is n a prime number?
False
Suppose 0 = -5*s - i + 5, -4*s + 4 = i + 3*i. Let n = 22 + s. Suppose -3*f - o + 27 = 0, -f = f - o - n. Is f a composite number?
True
Let d(a) = -2*a - 7. Let h be d(-5). Is (2024/12)/(2/h) a composite number?
True
Suppose -3*y + 78 = -0*y. Let i = y + 12. Is i prime?
False
Let z(m) = m**2 - 2*m + 7. Suppose 3*q = -b - 21, -18 = 5*q - 4*b - 0*b. Is z(q) composite?
True
Suppose 5*j = -5*l + 838 + 497, -3*j - 2*l = -796. Suppose 46 = 4*q - j. Is q prime?
False
Let b be -26*(-1 + (-1)/2). Suppose 4*q - b = -j, -21 = -4*q - 2*j + 13. Let l = q - 4. Is l a prime number?
True
Is 35970/50 - (-2)/(-5) prime?
True
Suppose c - q - 4540 = -4*c, c - 5*q - 932 = 0. Is c a composite number?
False
Let d(k) = -43*k + 20. Is d(-9) composite?
True
Let y(t) = t**3 - 3*t + 1. Let k be y(2). Suppose x = -k*x + 452. Is x a prime number?
True
Is (-3 - -5 - -3)*31 composite?
True
Suppose 2*c - c = -k + 9, 0 = 2*k - c - 27. Let b = k - -25. Is b prime?
True
Suppose -2*k = 5*g - 3133, -g = -2*k - 0*k + 3115. Is k a composite number?
False
Let z(d) = -d**2 - 5*d + 8. Let w be z(-6). Let r(c) = c + 3*c**w + c**2 + c - 3. Is r(-4) composite?
False
Let i be ((-56)/3)/(1/(-3)). Suppose 3*l = -l + i. Suppose -5*p + 124 + l = 4*o, 191 = 5*o - 3*p. Is o composite?
False
Let v(a) be the first derivative of -88*a**2 + 3. Let t be v(-1). Suppose -3*f + 273 = 3*i, 0*i = -2*f + i + t. Is f a prime number?
True
Suppose -163 = -5*s + v, 29 = 4*s - 3*s + v. Let i = 55 - s. Suppose -c = -i + 9. Is c composite?
True
Let q = -10 - -12. Suppose -5*m + 65 = 2*h - 7*h, 0 = -q*m + 5*h + 23. Is m a prime number?
False
Let m(p) be the third derivative of p**5/30 + p**4/8 - 2*p**3/3 + p**2. Is m(-5) a composite number?
False
Suppose -4*w = w - 445. Suppose 2 = o, -5*o = -3*l - 2*l + 1450. Let y = l - w. Is y prime?
False
Is (0 + 4 + -255)/(-1) a prime number?
True
Let x(u) = u**2 - 7*u - 12. Let j be 3/(0 + 9/(-42)). Let f be (-6)/(-21) - 122/j. Is x(f) composite?
True
Suppose 3*c - 66 - 51 = 0. Is c composite?
True
Suppose 5*y - h - 425 = 3*h, 3*h = -3*y + 255. Suppose 5*u = y + 10. Suppose -2*i = -u - 23. Is i composite?
True
Suppose -a + 0 = 3. Let f(v) = -4*v**3 - 4*v**2 - 5*v + 2. Let c(r) = -11*r**3 - 12*r**2 - 14*r + 5. Let d(h) = -3*c(h) + 8*f(h). Is d(a) a prime number?
False
Suppose 0 = -5*h + 2*a - 106 - 4, -3*h - a - 66 = 0. Let b = 61 + h. Is b a prime number?
False
Let f = -357 - -254. Let y = -69 - f. Is y composite?
True
Let t be (0 - 3)/(2/(-4)). Let i be (2/3)/((-4)/t). Is 24*2 + 0 + i composite?
False
Let p be 0/(-4) + 1 + -4. Let f be 69/15 - p/(-5). Is 278/f + (-2)/4 a prime number?
False
Is (-12)/(-16)*4 + 500 prime?
True
Suppose 3*u - 5*u = 0. Suppose 5*f - 45 = -0*f + 2*v, 4*f - v - 36 = u. Is (3/f)/((-1)/(-249)) a composite number?
False
Let i(r) = -110*r + 3. Is i(-5) composite?
True
Suppose 0*k = 3*k + 2*s - 375, 3*k + 4*s - 369 = 0. Is k a prime number?
True
Let l(w) be the first derivative of -w**4/4 - w**3 + w**2/2 - w + 3. Is l(-4) prime?
True
Let l(a) = -2*a**3 + 3*a**2 + 9*a + 7. Is l(-6) a composite number?
True
Let m(n) = -8*n - 5. Let j = 7 + -10. Let i be (3/j)/(1/7). Is m(i) composite?
True
Suppose -2 - 54 = -4*z + 4*y, 0 = -4*z - y + 31. Suppose 388 = z*n - 5*n. Is n a prime number?
True
Is ((-4)/6)/(4/(-126)) a composite number?
True
Let y(v) = v**2 - 5*v - 3. Let x be y(6). Suppose 0 = x*o - 4*o + 3. Suppose -19 = -o*i - 2*c, 3*i - c - c = 23. Is i a composite number?
False
Suppose s = -0*s + 2, 4*h = -3*s + 178. Is h prime?
True
Suppose 5*h - 1779 - 956 = 0. Is h prime?
True
Suppose 2*y + 3*y - 460 = 0. Suppose -y = -2*v + 5*g, 0 = 4*v - 3*g - 62 - 122. Is v a composite number?
True
Let k(w) = 71*w + 9. Is k(10) composite?
False
Let h(n) = 30*n + 9. Let r(i) = -30*i - 10. Let a(v) = 3*h(v) + 2*r(v). Is a(7) a prime number?
False
Suppose 5*b - 151 = -2*q, -2*b + 34 = -q - 30. Suppose 0*j - b = -j. Is j a composite number?
False
Let w be (-1 - 0/(-1)) + 31. Let f be (w/(-9))/(4/(-30)). Suppose 3*j - 24 = -2*k + j, f = 5*k - 2*j. Is k composite?
False
Suppose s + 2063 = -5*t, -2*s - 9 = -3. Is t/(-10)*(7 - 2) a composite number?
True
Let s(g) = 2*g**2 - g + 6. Suppose 0*f = f + 7. Is s(f) a composite number?
True
Is ((-9332)/6)/(-2) - 2/(-6) a prime number?
False
Let d = -47 - -85. Let x = d + 9. Is x a prime number?
True
Suppose 26 - 6 = 5*l. Let x be (-1)/l - 3/4. Is (3/(-3))/(x/47) composite?
False
Let s(c) = 13*c - 2. Let g be s(3). Suppose -5*k + g = 2. Is k a prime number?
True
Suppose -2*u = u. Let c(j) = j + 481. Is c(u) composite?
True
Let n be 15/9 - 4/6. Let s be (-3)/1 + n - -4. Suppose -9 + s = -d. Is d prime?
True
Let z = -5 + 2. Let u(t) = -2*t**3 - 4*t**3 - 1 + 3*t**3 - 3*t**2. Is u(z) composite?
False
Let i = 28 - 10. Suppose -6*p = -2*p - l - 8, -2*p - 3*l + i = 0. Suppose 298 = -h + p*h. Is h prime?
True
Let x be (-2)/3 + (-16)/3. Let o = x - -10. Suppose -100 = -o*j + 88. Is j a composite number?
False
Let m(x) = 2*x**2 - x**3 + 5*x - 6 - 4*x**2 + 0*x - 7*x. Is m(-5) composite?
False
Suppose -k + 778 = -5*t + 41, 2*t = -8. Is k prime?
False
Suppose 3*c = -2*c + 25. Suppose -3*h - 2*u + 58 + 57 = 0, c*