
False
Suppose -23*r = -20*r - 417. Is r a prime number?
True
Suppose f + 478 = 4*k, -4*f + 128 = 3*k - 221. Is k prime?
False
Let u be 0/((-4 + -2)/(-2)). Suppose -3*c + 60 + 321 = u. Is c prime?
True
Let s be 1310/(-6) - (-1)/3. Suppose 4*d + 2*u + 94 + 58 = 0, 70 = -2*d - 4*u. Let m = d - s. Is m prime?
True
Suppose 0 = -0*l + 2*l. Suppose 257 = 3*z + 4*a, l*z - 390 = -5*z + a. Is z prime?
True
Let q be 1/((2 + 0)/6). Suppose 32 = -q*i + 170. Is i a composite number?
True
Let t(f) = f. Let j be t(-7). Let a(n) = n**2 + 8*n + 8. Let s be a(j). Is (-94)/4*(s - 3) a composite number?
False
Suppose 0 = 3*b - 9 - 6. Suppose 2*x = -1 - b, -5*x + 607 = 2*a. Is a prime?
True
Let b(g) = 38*g**2 + 19*g - 1. Is b(10) prime?
True
Is -745*(-5)/(15/3) prime?
False
Let z(v) = 139*v + 12. Is z(5) a prime number?
False
Let y(l) = -2*l - 5. Let x be y(-3). Is 216 + (-8 - -4) - x a prime number?
True
Let a(k) = -k**3 + 9*k**2 - k + 7. Let g be a(9). Let r(b) = b**2 + 2*b + 0 + 3*b**2 + 1. Is r(g) composite?
False
Let n = -549 - -800. Is n a composite number?
False
Let v be ((4 - 3)*-16)/(-2). Suppose -v*h + 7*h + 65 = 0. Is h a composite number?
True
Let j be (-2 - (1 + 1))/(-2). Suppose j*k - 9 = 13. Is k a prime number?
True
Let k(n) = -n**3 + n**2 - n + 579. Let y be k(0). Suppose 4*q = -z + y, 4*z = q - 6*q + 2338. Is z composite?
False
Let g(i) = -i + 7. Let u be g(7). Suppose -2*q - 4*z = -388, -z - 185 = -q - u*q. Suppose 5*h + m - q = 0, -h - 9 + 55 = 3*m. Is h composite?
False
Is (19/3)/((-12)/(-36)) prime?
True
Let l = -219 - -823. Suppose 0 = 5*p + 4*b - l - 731, 2*b = 2*p - 516. Is p composite?
False
Suppose 3*x - 2*x = -13. Let k = 18 - x. Is k prime?
True
Let p be 639/7 + 4/(-14). Suppose 2*d - p = 67. Is d a composite number?
False
Suppose -2*j = u - j + 3, 3*u + j = -15. Let g be u/9 - 310/(-6). Let w = 74 - g. Is w prime?
True
Let i be 34/(-4) - 2/4. Let m(d) = -d**3 - 8*d**2 + 6*d - 13. Is m(i) a prime number?
False
Suppose -p + 2*x = -8109, -20290 = -4*p - 2*x + 12106. Is p prime?
True
Let t = 19 + -10. Suppose t = 5*u - 2*u. Is (2/u)/((-2)/(-147)) prime?
False
Suppose 3*z - 5*z + 42 = 0. Is (-7)/z - (-142)/3 a prime number?
True
Let j(p) = p**3 + 2*p + 3. Let z be j(0). Is (-2)/(z - (-5036)/(-1676)) prime?
True
Suppose 0 = 2*r - 146 + 28. Is r composite?
False
Suppose -152 = -2*m - 0*m - 5*c, 0 = -m + 5*c + 61. Suppose 0 = 2*v + 5*l - 121, -4*v + 2*v = l - 101. Let q = m - v. Is q a composite number?
False
Is (2 - 3) + 4 - -306 a prime number?
False
Is ((-1)/(-4))/((-3)/(-5484)) prime?
True
Let c(a) = -a**3 - 5*a**2 - 6*a + 4. Let d(i) = -13*i. Let w be d(1). Let t = w - -8. Is c(t) composite?
True
Let j be (4 - 1) + 0 + 1. Suppose -4*p = 4*l, -6*p + p = -3*l. Suppose -u + 5*y - 18 = p, 7 = -4*u + j*y + 15. Is u composite?
False
Let h = -41 - -78. Is h a prime number?
True
Suppose -5*w = -54 + 4. Let y = -5 + w. Suppose 132 = -y*c + 517. Is c prime?
False
Suppose -2*w + 4*y = -68, -w + 170 = 4*w + 5*y. Is w a composite number?
True
Let q(t) = t**3 + t**2 + t + 1. Let o(h) = -8*h**2 - 6*h. Let z(m) = -o(m) - 2*q(m). Let r be z(5). Let y = -33 - r. Is y a composite number?
True
Let s = -44 + 39. Let m be 1/(-4) + 7/(-4). Is (-296)/s + m/10 a composite number?
False
Suppose -4*g + 9*g = 0, -4*u = 2*g + 12. Let w be ((-46)/u)/(2/(-18)). Is (-1)/(-1 + (-135)/w) prime?
False
Suppose 3*r + 3*y = 41 + 289, 0 = 5*r - 5*y - 600. Is r prime?
False
Let y = 67 - 9. Is y prime?
False
Suppose 4*i = -3*q + 10, i = -5*q + 10 + 1. Let s = i - 2. Is s*-7*(-2 + 3) prime?
True
Let x be (-2)/10 + (-56)/(-5). Let v = x - 0. Is (v/(-3))/(5/(-75)) a composite number?
True
Let j(k) = 2*k**3 + 9*k**2 - 5*k + 3. Let m(g) = 3*g**3 + 13*g**2 - 8*g + 5. Let b(a) = -7*j(a) + 5*m(a). Let r be b(4). Let h = r + -1. Is h prime?
True
Suppose 0 = 3*m - 4*f + 3 - 1, 5*f - 6 = 2*m. Suppose 111 + 43 = m*l. Is l a prime number?
False
Let v(u) = -31*u**3 + 10*u**2 + 16*u + 16. Let s(k) = 6*k**3 - 2*k**2 - 3*k - 3. Let d(q) = 11*s(q) + 2*v(q). Is d(2) prime?
False
Let g(y) = y**2 + 4*y - 2. Suppose d - 7 = 3. Let a = d - 7. Is g(a) a composite number?
False
Suppose -5*s = -0*j - 4*j + 4, -s = 4*j - 4. Is (-1)/j - 366/(-3) a composite number?
True
Let w be (-2)/3*(-1 - 2). Suppose b + w = 4. Is b prime?
True
Suppose -4*c + v + 1029 = 0, c + 1281 = 6*c + 4*v. Is c composite?
False
Let g(v) = 2758*v + 2. Let z be g(-1). Is (-1)/(-3) - z/39 a prime number?
True
Suppose p - 4*p + 363 = 0. Is p a prime number?
False
Let p = -40 - -3. Is p/(-3 + (-3 - -5)) a composite number?
False
Let w = 339 + 202. Is w prime?
True
Suppose 242 = 2*w - 444. Let z = -50 + w. Is z a composite number?
False
Let l be 7/35 - 98/(-10). Let g(u) = -u**3 + 10*u**2 + 6*u - 7. Is g(l) a composite number?
False
Let w(d) = 676*d**3 + d**2 + d - 1. Is w(1) prime?
True
Let b(n) = 5*n**2 + 4*n + 4. Is b(-3) a prime number?
True
Let h be 2244/14 + 6/(-21). Suppose -h = x - 6*x. Let a = x - 18. Is a composite?
True
Let r(a) = -25*a - 43. Is r(-14) composite?
False
Let f = -8 + 7. Let c be (-6 - f) + 2/1. Let k = 18 + c. Is k composite?
True
Let i = 20 + -20. Suppose 4*a - a - 447 = i. Is a a prime number?
True
Let y(z) = 2*z - 5. Let q be y(5). Let n(o) = -o**3 + o + q*o + 8*o**2 + 1 + 0. Is n(8) a composite number?
True
Suppose -v + 2*i + 115 = 0, 3*i - 185 + 788 = 5*v. Is v prime?
False
Suppose 0*z + 2*z = -5*d - 15, -3*z = -5*d - 15. Suppose -4*t - 4 = -z*h - h, -2*t + 5*h = -16. Is (t - -4)/((-1)/(-11)) a prime number?
False
Let v be (-9)/1*3/(-9). Let m = v - 0. Is 53/(2/(-1 + m)) composite?
False
Suppose 0 = -0*r + 4*r - 2*u - 940, 0 = 5*r - 2*u - 1173. Is r a prime number?
True
Let r be -3 + 3 + -2 + 75. Suppose -r = -k + 16. Is k prime?
True
Let y = -126 + 2047. Is y prime?
False
Let u(g) = -3 - g - 3*g + 0. Let d be u(-5). Let r = 30 - d. Is r a prime number?
True
Suppose 10*q + 194 = 12*q. Is q composite?
False
Let g(k) = k**2 + 11. Let p be g(-8). Let z = -17 + p. Is z a composite number?
True
Let p(v) = -3*v**3 + 42*v**2 + 3*v - 8. Is p(13) a prime number?
False
Let c(h) = -2*h**3 - h**2 - 2*h - 1. Let n be (2/3)/(6/(-9)). Let j be c(n). Suppose 2*w - 12 = j. Is w a composite number?
False
Let d(q) = -q**3 - 7*q**2 - 7*q - 4. Let f be d(-6). Suppose t + 2 = 0, t - 2628 = -0*x - 2*x. Suppose -f*s + x = 3*s. Is s a prime number?
True
Suppose -2*m + 4*m - 666 = 0. Suppose -s = 2*y - m, -3*y - y = -4*s + 1308. Is s prime?
False
Let t(g) = -g**3 + g**2 + 20. Let x be t(0). Suppose y + 2*y = 4*o - 40, 2*o = 4*y + x. Is o prime?
False
Suppose 892 = 4*n + y, 4*n - 717 = -4*y + 175. Is n a prime number?
True
Let f = 13 + -8. Suppose 0 = -3*j + 2*z + 507, f*j + 287 = 4*z + 1132. Is j prime?
False
Suppose 1020 = 6*g - 2*g. Is g + (-1 + -5)/(-3) a prime number?
True
Let n = 291 - 41. Let m = 147 + n. Is m prime?
True
Is (28/(-6))/(28/(-966)) a composite number?
True
Let u(w) = 63*w**2 + w - 1. Let n be u(1). Suppose 3*r + b = -n, 4*b - 6 = 2*r + 36. Is (0 - 0) + r/(-3) a composite number?
False
Let p be (-5)/(-1)*10/(-25). Let f = 17 - p. Is f prime?
True
Let z(a) = -3*a + 3. Let u be z(-7). Suppose 0 = 7*s - 3*s + u. Let b(c) = 2*c**2 + 7*c + 5. Is b(s) a composite number?
True
Suppose 0*z + 3*p = -4*z + 88, 4*z - 108 = 2*p. Is z composite?
True
Let x be 3/9 - (-627)/9. Let f = -142 + x. Let u = f - -125. Is u a prime number?
True
Suppose -3*j - 199 = -2*j. Let c = j + 284. Is c prime?
False
Let o(a) = -a**2 + 21*a + 17. Is o(11) prime?
True
Suppose -11 - 478 = -3*r + 4*c, 2*r + 2*c = 312. Is r a prime number?
False
Let w(a) = -6*a + 4. Let i(u) = -u. Let r(y) = 4*i(y) - w(y). Let s be r(3). Suppose s*k = -k + 129. Is k composite?
False
Let t be (-1)/5 - 52/(-10). Suppose 4*v = t*m + 98, 2*v + 5*m - 36 = m. Is v a prime number?
False
Let d(l) = l**2 + 3*l + 6. Let n be d(-4). Let i = n - 6. Is 112 + -5 + 2 + i a composite number?
False
Suppose 0 = -3*m + 8*m - 30. Is 1/(-1) - (-2088)/m a composite number?
False
Let j(z) = z**3 + 8*z**2 + 7*z + 3. Let h be j(-7). Suppose 0 = h*k + c - 1230, 810 = 2*k + 3*c + c. Suppose -3*x - 156 = -k. Is x a composite number?
True
Let l = 197 + 14. Is l a composite number?
False
Is ((-753)/(-4))/(27/72) prime?
False
Let f be 2/(-3)*42/(-4). Suppose v = -4*u - f, 5*u - 2*u = v - 28.