
False
Let d(i) = -i**3 + 3*i**2 + i - 4. Let f be d(3). Is 22/(f - 9/(-7)) a composite number?
True
Suppose 0 = 4*p + p - 25. Suppose -415 = -p*y - 0*y. Is y a composite number?
False
Suppose 3*b - 31 = 23. Let m = -10 + b. Let f(c) = 4*c**2 - 7*c + 11. Is f(m) a composite number?
False
Suppose 2*b - 13 = s - 74, -s - 3*b + 41 = 0. Is s composite?
False
Suppose 0 = 3*p - 6*p - 3*s + 576, 0 = -4*p + 2*s + 738. Is p a prime number?
False
Suppose 2*i + 4*t - 790 = -0*i, -1975 = -5*i + 4*t. Is i a composite number?
True
Let g = 20 + -11. Let j(o) = -o**2 + 12*o + 1. Let b be j(g). Suppose b = 2*w + 2*w. Is w a composite number?
False
Suppose 5*u - 276 = 2*u. Let v = -25 + -20. Let x = u + v. Is x a composite number?
False
Suppose -241 = -5*n - m, -6*m = 5*n - 2*m - 229. Is n a composite number?
True
Suppose 2*z = -5*b + 107, -z - 5*b + 2*b + 54 = 0. Is z a prime number?
False
Let p(c) be the first derivative of c**3/3 + 5*c**2/2 - 10*c - 1. Let m(f) = f. Let y be m(-7). Is p(y) a prime number?
False
Suppose 11*i - 8*i - 63 = 0. Is 2/(-7) - (-1665)/i a composite number?
False
Is 3/(-9)*0 + 211 composite?
False
Let u be ((-280)/(-12))/(-5)*-6. Is (u/(-10))/(1/(-5)) a prime number?
False
Let c be ((-2696)/12)/(8/(-36)). Suppose 4*t = 3*n - c, 2*n + 0*t = -3*t + 674. Is n a prime number?
True
Is (-6)/(-27) - (-17236)/36 a prime number?
True
Suppose 2*w + 14 = -2. Let h = -4 - w. Suppose -b = h*b - 185. Is b prime?
True
Suppose -2*y + x - 475 = -7*y, y + 5*x = 95. Let p be (3/(-2))/(6/(-16)). Suppose 3 = -5*r + 18, -p*i + 3*r + y = 0. Is i a composite number?
True
Let l(g) = -2 + 3 + 1 - 49*g. Is l(-3) prime?
True
Let l = 1 + 2. Suppose -l*t + 2*d + 36 = 0, -2*t = d + d - 14. Is t a prime number?
False
Let o(k) be the third derivative of 7*k**5/2 + k**3/6 + 8*k**2. Is o(-1) a prime number?
True
Suppose -n = 3*i + 3, -i - 5*n - 15 = 3*i. Suppose 0 = -3*h + 11 + 1. Suppose 2*a - 63 = -5*z, i = -0*z - z + h*a + 17. Is z a prime number?
True
Let o = -21 + 23. Suppose -4*w + 1340 = o*b, 4*w = -0*b - b + 1344. Is w prime?
True
Let z = -77 - -154. Is z prime?
False
Let i = 217 - -354. Is i a prime number?
True
Suppose -3*b - 4*d = 82, 2*b + 0*d = -3*d - 54. Is -5*2*267/b a prime number?
True
Let n = 10 - 18. Let o(w) = 2*w**2 + 10*w - 11. Is o(n) composite?
False
Suppose 4*o + 1928 = 4*p, 3*p - 976 = p - 2*o. Is p composite?
True
Let q(d) be the first derivative of d**2 - 3. Is q(5) a composite number?
True
Suppose 3*l = 0, -2*a - 2*l + 447 = a. Is a prime?
True
Let f = 7 - 10. Let d be (f - 3*-2) + -1. Suppose 0 = 3*i - d*i - 47. Is i a composite number?
False
Let p(m) = 6*m**2 - 3*m - 1. Let g be p(4). Let w = g + -16. Is w composite?
False
Let c(q) = 10*q**2 - q + 2. Is c(3) composite?
False
Let f(g) = g**3 - 5*g**2 + 5*g + 8. Is f(6) prime?
False
Is -5*((-3114)/(-5))/(-6) a composite number?
True
Let q = -98 - -184. Is q prime?
False
Suppose -2*h + 2*r = -696, -2*r + 5*r = h - 350. Is h a prime number?
True
Let g = -735 + 128. Let t = 898 + g. Is t a composite number?
True
Let j be (-2 - -124)/(1*2). Let c = 219 - j. Suppose 0 = -w + 3*w - c. Is w prime?
True
Is (12465/(-6))/(-5)*42/9 a composite number?
True
Suppose 1639 = 5*i + 444. Is i a prime number?
True
Let d = 12 + -10. Suppose -6*u + 3*u + 3*z = -36, -d*u + 27 = -z. Is u composite?
True
Is 1438 + -5 + (4 - 0) a composite number?
True
Let j(m) = m**3 - 6*m**2 + 6*m + 3. Let g be j(5). Suppose -2*l - 3*p = -g*p + 23, -9 = -4*l - p. Is 22 - (l - (3 - 2)) prime?
False
Suppose 1290 = 3*i + 2*i. Suppose 0 = 5*s - 2*r - 483, 4*r = -4*s - i + 650. Is s a prime number?
True
Suppose -5*w + 0*w = -2*q - 24, 16 = 5*w + 2*q. Suppose 6*y - w*y - 14 = 0. Is y a composite number?
False
Let h(d) = 1769*d**2 + d + 1. Is h(-1) a prime number?
False
Suppose 8 = 3*o - k - k, -3*o = -4*k - 4. Suppose -2 = -5*w + o*w. Suppose 3*v = w*v + 23. Is v a composite number?
False
Let l be 8/(-32) - 20734/8. Let y = -1703 - l. Is y a prime number?
False
Let t = 46 + -7. Suppose -4*y + 1157 = -t. Is y composite?
True
Let q be 4/(-14) + 732/14. Let y = 25 + q. Is y composite?
True
Suppose -2*f + 257 = -2*w + 653, 2*f = 5*w - 1002. Is w composite?
True
Let q(l) be the first derivative of 18*l**2 - 3*l - 1. Is q(2) prime?
False
Suppose 6 = -5*k + 41. Is k a prime number?
True
Let a = 114 + 99. Is a a composite number?
True
Suppose -3*q - 4*x = 70, q - 4*x + 84 = -3*q. Let u = 91 - q. Is u a prime number?
True
Let r = 56 + -30. Let b = 0 + r. Suppose 0 = -4*n + c + b, 0*n - c + 23 = 3*n. Is n a prime number?
True
Is (5/(10/(-2108)))/(-2) a composite number?
True
Let n(c) = 4116*c + 1. Is n(1) composite?
True
Let n = 548 + 9. Is n prime?
True
Let v(h) = 15*h. Let w(z) be the second derivative of -z**5/20 - z**4/12 + z**3/6 - z**2/2 + 2*z. Let u be w(-2). Is v(u) prime?
False
Suppose -4*m = -6*m. Suppose 3*q + 0*q - 111 = m. Is q a composite number?
False
Suppose -3*l - 5*n = -5*l + 17, -2*n + 10 = 2*l. Let i(f) = 4*f**2 - 6*f + 1. Let j(u) = -9*u**2 + 12*u - 3. Let k(d) = 5*i(d) + 2*j(d). Is k(l) a prime number?
False
Let c(k) = -2 - 4 + 4 + k + 3. Let b be c(1). Suppose -2*q + b = -128. Is q a prime number?
False
Let g(z) = 3*z - 2. Let s = -2 - -7. Is g(s) a composite number?
False
Suppose y + 1486 - 47 = g, -7195 = -5*g + 4*y. Is g prime?
True
Let s(y) = 317*y + 2. Is s(1) composite?
True
Let b(t) = 23*t**2 - t - 1. Suppose -2*w - 4*j = -0*w - 12, 5*j = -5*w + 20. Is b(w) a composite number?
False
Let p(g) = 126*g + 7. Is p(7) composite?
True
Let t be (-3)/7 + (-62)/(-14). Let z be 3*-2*t/12. Is (-2406)/(-42) - z/(-7) prime?
False
Let x(a) = -a**3 - 9*a**2 - 8*a + 3. Let y be x(-8). Suppose c - 12 = y*k, 0 = 2*k - 1 - 5. Is c prime?
False
Let y = -16 - -16. Suppose 0 = -4*u - j - 3*j + 428, 4*j - 4 = y. Is u a prime number?
False
Suppose -2*a = a - r - 78, -a + 10 = 5*r. Suppose 0 = z + n + n - a, 5*z - 158 = n. Is z prime?
True
Suppose -2*f + 5*l = -5983, l - 4 = -1. Is f a prime number?
True
Let d = -4 - -7. Is (-338)/(-5) + d/(-5) prime?
True
Let m(n) = -2*n. Let f(j) = 2*j + 7. Let k be f(-7). Is m(k) prime?
False
Let r = 988 + -287. Is r a prime number?
True
Let i(z) = 47*z - 3. Let u be i(2). Suppose -4*j - 9 - u = 0. Let l = 48 + j. Is l a prime number?
True
Suppose -5*p + 2*d - 7*d + 6735 = 0, 3*p = 5*d + 4033. Is p composite?
True
Suppose 10 = 2*r - 2*g + g, -r + g + 7 = 0. Suppose -r*x = -2*t - 1330, 4*x - 2*t = t + 1774. Suppose 4*a = 3*k - k + x, 2*k = 3*a - 331. Is a a prime number?
False
Is ((-477)/(-27))/((-1)/(-3)) a prime number?
True
Suppose 3115 = 4*r + r. Is r a prime number?
False
Suppose 2*r + k - 46 = 5*k, 4*r = -4*k + 92. Suppose j + 5*h = 10 + r, -2*j + h = -66. Is j a prime number?
False
Let y(g) = -2*g**2 + 9*g + 9. Let u be y(7). Is u*(348/8)/(-3) composite?
True
Is 190 + (5 - (1 - -3)) a prime number?
True
Suppose 23*l - 35803 = -2200. Is l prime?
False
Suppose 0 = 2*l - l - 191. Let p = -134 + l. Is p prime?
False
Let l be -2*1*(-99)/22. Is 68 - l*(-4)/(-12) a composite number?
True
Suppose 2*i - 4*i = -12. Suppose -5*h = -i*h + 5. Suppose 2*g - 547 = -h*v, 4*v + 7*g - 432 = 4*g. Is v a composite number?
True
Let w = -927 + 1500. Is w composite?
True
Let r(h) = -5*h**2 + 2*h + 10. Let p(m) = -6*m**2 + m + 11. Let y(g) = -4*p(g) + 5*r(g). Is y(6) prime?
False
Suppose 0 = -3*w + 53 + 58. Is w composite?
False
Suppose 182 = 5*m + v, 5*v = -4*m + 33 + 100. Is m prime?
True
Suppose -g - i + 510 = -382, -2*i + 10 = 0. Is g a composite number?
False
Let u = -198 - -383. Let x = -58 + u. Is x composite?
False
Let m(a) = -5*a**3 + 9*a**2 + 23*a - 6. Let t(y) = -3*y**3 + 4*y**2 + 12*y - 3. Let l(p) = 4*m(p) - 7*t(p). Let j = -22 - -16. Is l(j) composite?
True
Let v(n) be the third derivative of n**6/180 - n**5/12 + n**4/24 + 2*n**2. Let h(f) be the second derivative of v(f). Is h(9) a prime number?
False
Let o(s) be the third derivative of 2*s**2 + 1/24*s**4 + 0 + 11/3*s**3 + 0*s. Is o(0) a prime number?
False
Suppose 4*f + 342 = 22. Let p be 9/(-4)*f/6. Is 4818/p + (-2)/(-5) prime?
False
Let h(b) = -b - 1. Let q be h(-2). Let s = 3 - q. Is (-4)/s + 105/5 a composite number?
False
Let y(a) = a**3 - 6*a**2 - a + 2. Let b be y(6). Let f be 80 - (-2 + 3 + b). Let j = 44 + f. Is j prime?
True
Let j = 141 + 34