
False
Let i be ((-2)/4)/((-8)/32). Suppose 0 = i*k + 10, 2*u = -0*u - 3*k + 27. Is u a composite number?
True
Let j(u) = 3 + 4 + 2*u**2 - 6 + 0. Suppose -4*n + 16 = -5*r, -2*r + 3*r + n + 5 = 0. Is j(r) composite?
True
Let x = 2622 + -1453. Is x prime?
False
Let z = -10 - -2. Let y = 27 + z. Is y a prime number?
True
Suppose -2*q + 119 = -351. Is q composite?
True
Let x(a) = 6*a**2 - 4*a**2 + 0*a + 4 - 3*a - 3*a**2. Let n be x(-4). Suppose -t + n = -33. Is t composite?
True
Suppose -1051 = -3*a + 215. Is a composite?
True
Let n(c) = -c - 5*c**2 + 1 + 18*c**2 + 0*c**2 - 5*c**2. Is n(-4) a prime number?
False
Let m = 318 - 142. Let x = 117 + m. Is x a prime number?
True
Suppose 335 = 5*f - 1120. Is f a composite number?
True
Suppose -q = -5*g + 22, 0*g = 2*g - 10. Let i be (q + -3)/((-4)/2). Suppose 0 = -2*z - i*z + 42. Is z composite?
True
Suppose -k - 42 = 5*f, 4*f - 3*k + 1 = -25. Is f/28 - (-891)/7 composite?
False
Let p(a) = 143*a. Is p(1) a prime number?
False
Let v = 1626 + -1153. Is v a composite number?
True
Let m(x) = 90*x - 3. Is m(3) a prime number?
False
Let o be (-7)/(-3) + (-6)/(-9). Suppose o*x = f + 22, 5*x - 34 = -2*f + f. Is x composite?
False
Is 11/(330/44442) + 4/(-10) composite?
False
Let o(y) = -32*y - 1. Suppose -3 = f - 2*f + 4*k, -5*f - 3*k - 8 = 0. Is o(f) a prime number?
True
Suppose 5*n = -3*r + 1, 9*r - 4*r - 14 = 4*n. Suppose 4*w = r*w + 266. Is w a prime number?
False
Let m(c) = -c**3 + c. Let k be m(0). Suppose -2*q - q + 1005 = k. Suppose -4*r = r - q. Is r composite?
False
Let n(c) = -c**3 - 9*c**2 + 4*c + 7. Is n(-11) a prime number?
False
Let v be (1/2)/((-1)/(-6)). Suppose -f = 5*b - 173, 2*b + 3*f = -v*b + 179. Is b prime?
False
Suppose 3*g - 71 = 10. Suppose 10 = -n + 3*n. Suppose -n*y + 212 = g. Is y composite?
False
Let k(t) = 19*t**2 - 3*t - 1. Let c be k(3). Suppose -2*o = -5 - c. Is o a composite number?
False
Let o(m) = -6*m**3 + 0*m**2 - m - 1 + 3*m**2 + 7*m**3 + 10*m**3. Is o(2) a prime number?
True
Suppose 10*d - 20 = 5*d. Let h(c) = 0*c**2 + 0 - 1 - 2*c - 3*c**2 + c**3. Is h(d) a composite number?
False
Let c be 10/4 - 4/8. Is (-4)/c + (-12)/(-2) prime?
False
Let n = 5 - 3. Suppose -2*a = -y - 0*y + 9, n*y - 12 = a. Is -1 + -1*(-21 + a) composite?
True
Is ((-3 + (-16)/(-3))*1203)/1 a prime number?
False
Suppose -2*z - 15 = 3. Let a = z + 6. Let s = 7 + a. Is s a prime number?
False
Let i(j) = j**2 + 8*j + 4. Let r be i(-7). Let q(z) = 2*z**2 - 4*z + 2. Let c(o) = -5*o**2 + 7*o - 5. Let b(h) = 3*c(h) + 7*q(h). Is b(r) a prime number?
True
Let b(p) = -p + 8. Let z be b(4). Let v be ((-2)/(-4))/((-2)/(-12)). Suppose -v*h + 260 = z*s - 2*h, -3*h - 65 = -s. Is s a prime number?
False
Let t(w) be the third derivative of w**5/6 - 3*w**4/4 + 7*w**3/6 + 6*w**2. Is t(7) prime?
False
Suppose -3*m - 3*a + 6 = -4*m, -3*m = -3*a + 18. Let k(n) = -n**2 - 9*n - 7. Is k(m) a prime number?
True
Suppose -3 = -2*o + o. Suppose -o*c = -r - 4, 0 = 3*c - 6*c - 5*r - 20. Is 0/(-3 - c) + 31 a prime number?
True
Suppose -4*i + 20 = i. Is 91 + (2 - i - -2) a composite number?
True
Let r = -1 - -1. Suppose 6 = 3*o - 9, r = -4*z - 3*o + 435. Is 3/(z/(-57) - -2) prime?
True
Let v = 3 + -3. Suppose 2*b - 109 - 61 = v. Is b prime?
False
Suppose 0 = -7*y + 3*y + 8. Let d be (-1)/((-1)/2) + 1. Suppose -y*v + 3*z = d, v + z - 17 = -v. Is v a prime number?
False
Let x = 18 - 12. Let h = 83 - x. Is h a composite number?
True
Suppose -2*c + 5*g + 18 = 0, -5*c + 4*g + 28 = -0*g. Suppose -c*d = 20, -4*f + 3*d = d - 326. Is f a composite number?
False
Suppose 38*d + 213 = 41*d. Is d composite?
False
Suppose -2 = -2*v + 6. Is v/(-14) - 10255/(-49) a composite number?
True
Suppose 9*y = 4*y + 3205. Is y a prime number?
True
Let p(a) = a + 1. Let i be p(0). Suppose 2*x + 2*w = -5 + 33, w + i = 0. Is x composite?
True
Let l be ((-2)/3)/(2/12). Let q = 0 - l. Suppose 6*n + q*j - 18 = 3*n, 0 = -2*j - 6. Is n a prime number?
False
Suppose h - 113 - 98 = -3*i, -5*i = 0. Is h prime?
True
Let n(o) = -58*o**2 + o. Let w be n(-1). Let t(v) = -36*v. Let c be t(1). Let l = c - w. Is l composite?
False
Let f(d) be the first derivative of -15*d**2/2 - d - 3. Is f(-1) composite?
True
Suppose 4*h - 124 = 8*h. Is h*(3/(-3) + 0) a prime number?
True
Let q = 17 - -9. Suppose o = -o + q. Suppose 0 = -2*m + 63 - o. Is m a composite number?
True
Suppose -5*g + 4 = -6. Suppose 3*y = -g*y + 1055. Is y prime?
True
Let z(u) be the third derivative of u**6/120 - u**5/30 - u**4/6 - u**3/6 - 4*u**2. Let b be (-2)/(-2) + -3 + 6. Is z(b) composite?
True
Suppose 0 = -4*j - 1908 - 1024. Let x = -466 - j. Suppose -227 = -3*i - 4*d, -4*i + 14 + x = d. Is i prime?
False
Let s be ((-2)/(-4))/((-2)/(-24)). Suppose 0 = 3*f - s*f. Suppose 3*q + f*q = 93. Is q a prime number?
True
Let p = -10 + 6. Let d be 33 + 2 + 1*p. Suppose z = -4*h + d - 10, 4*h + 12 = 0. Is z composite?
True
Let r(i) = 5*i - 12. Let z(y) = 1. Let d(h) = r(h) + 3*z(h). Is d(6) a prime number?
False
Suppose -3*c - 2*v = -3*v - 9, 5*c - 5*v = 15. Let l(s) = 4*s - 2*s + 11*s - 4. Is l(c) prime?
False
Let v(b) = -b**3 + 3*b**2. Let u be v(2). Let z = u - 5. Is z/3 - 206/(-6) prime?
False
Let f be ((-10)/20)/(1/(-6)). Let r(m) = -m**2 + 0*m**2 - f*m**2 + 3 - m**3 - m. Is r(-5) a composite number?
True
Suppose -5*d = -3*d + 4. Let o = 0 - d. Suppose q = -o*q + 42. Is q a composite number?
True
Let n be 4*((-1)/2 - -1). Suppose -5*t - 3*f = -81, n*f = 4*t - 3*t - 11. Suppose 4*h + t - 71 = 0. Is h a composite number?
True
Suppose 3*w - 6*w + 117 = 0. Is w prime?
False
Suppose 3*c + 5*p = -566, -3*c - 2*p = -0*p + 563. Let l = c - -276. Is l a composite number?
False
Let a = -66 + 105. Let g = -25 + a. Is g prime?
False
Let b = -1 + -4. Let p = -5 - b. Suppose -w - 5*y - 27 + 118 = p, -3*y - 272 = -4*w. Is w a composite number?
False
Suppose 11 - 31 = -4*q - 2*g, 2*g = 0. Suppose -5*k + w = -75, q*k + 4*w = -38 + 138. Let v = k + -1. Is v composite?
True
Let t = -13 - -7. Let n be 3*((-10)/t + -1). Is (1/n)/((-1)/(-74)) a prime number?
True
Let u(q) = q**3 + 8*q**2 + 2. Let w be u(-8). Suppose -w*y + 0*m + 128 = 3*m, 132 = 2*y + m. Is y prime?
True
Let r = 31 - -186. Is r a prime number?
False
Let b = 6193 + 2512. Is b prime?
False
Let j = -7 - -5. Suppose 6 + 4 = -2*i. Let k = j - i. Is k composite?
False
Suppose 5 = -4*i - i. Let r be 1 + (-18 - -1) - i. Let u = r - -36. Is u composite?
True
Suppose -3*k + 15 = -u, -4*k = -u - 0*u - 20. Suppose 3*z - 7*z - s + 110 = 0, -z + k*s + 38 = 0. Suppose -z = -0*t - 4*t. Is t prime?
True
Suppose 0 = -4*o - 5*i + 4857, 4*o + 2*i + 1058 = 5912. Is o prime?
True
Suppose -3*g = -441 - 138. Let v = g + -36. Is v a composite number?
False
Suppose 0 = -4*l - 45 - 63. Is (-1190)/(-3) - 9/l prime?
True
Let v be 5 - 8 - (-9 + 2). Is v/(-8)*-53*2 composite?
False
Let o(q) = 42*q**2 + 2*q + 1. Let f be o(-2). Suppose 2*p = -p + f. Is p a composite number?
True
Let m = 66 + 29. Is m composite?
True
Let u(c) = -c + 3. Let h be u(-4). Suppose h = f - 148. Is f a prime number?
False
Suppose 3*d = 906 + 441. Is d a composite number?
False
Let q = 21 + 88. Is q a prime number?
True
Is 762*((-1 - -3) + (-12)/8) prime?
False
Suppose -1712 = -5*f - 117. Is f prime?
False
Let l(t) = t - 6*t - 3 - 9*t - 2. Let n(f) = 225*f + 81. Let c(u) = -33*l(u) - 2*n(u). Is c(3) a prime number?
False
Let g(v) = -v**2 + 5*v + 9. Let c(s) = 3*s**2 - 16*s - 26. Let l(q) = -6*c(q) - 17*g(q). Is l(7) composite?
False
Let j(x) = 5*x**2 + 2*x - 1. Let d be j(1). Suppose -5*u = -d*u + 4. Suppose 0 = -u*p - 0 + 52. Is p a composite number?
False
Let t(x) = 0*x**2 + x**2 + 5*x + 5 - x + x**2. Is t(-6) prime?
True
Suppose -v - 102 = -5*k - 0*v, -50 = -3*k - 5*v. Suppose -1705 = -5*t - k. Is t composite?
False
Suppose w = l + 1084, -2*w = w + 2*l - 3267. Is w prime?
True
Let x(u) = 3*u. Let b(s) = -33*s - 1. Let k(i) = 3*b(i) + 6*x(i). Is k(-2) a composite number?
True
Suppose -2*p + 33 = -3. Suppose 4*a - 18 = p. Let y = -6 + a. Is y composite?
False
Let q = 2371 + -774. Is q prime?
True
Suppose -4*w + 2 = -14, -z + 635 = w. Is z a composite number?
False
Let i(w) = -1. Let q(u) = -u + 5. Let j(a) = -4*i(a) - q(a). Let t be j(1). Suppose 0 = f - t*f - 37. Is f composite?
False
Let b(t) = -17*t + 61. Is b(-12) a 