 Suppose g - j = -3*g. Is g a composite number?
True
Let w = 8 - 2. Suppose 3*h - w*f + 11*f = 82, 0 = f - 5. Is h - (-2 + 3 + -1) composite?
False
Let y = -16 + 6. Let h(b) = -4*b - 5. Is h(y) composite?
True
Suppose -l = -43 - 44. Is l a composite number?
True
Let q = -4 + 6. Suppose -6*o = -5*c - o + 95, -4*c = -q*o - 80. Is c a prime number?
False
Let s(i) = -i**3 + 9*i**2 + 10*i - 2. Let u be s(10). Let j be 34/(3/((-6)/u)). Let a = j - 19. Is a a prime number?
False
Let b = -7 - -3. Let c(h) = 2*h**2 - 1. Let r be c(b). Suppose -10 + r = i. Is i composite?
True
Suppose -r = -4*f + 3135, 5*f - 1779 = 5*r + 2121. Is f prime?
False
Suppose -5*n + f = 22, -2*n - 5*f = -4 + 2. Let v = -2 - n. Let o(a) = 11*a - 3. Is o(v) a prime number?
True
Let y be -1 + (-2)/((-6)/3). Suppose 5*r + y*n = 4*n + 431, 3*r = 5*n + 269. Is r a composite number?
False
Let c(g) = g. Let i be c(2). Is (-2876)/(2 - 6) + i composite?
True
Suppose -2*v - 9 = -71. Suppose -v = -h + 6. Is h a composite number?
False
Let u be (-16)/(-1) - (-1)/(5/(-10)). Let a = 7 - 19. Let f = u - a. Is f a composite number?
True
Suppose -4*p = -2*l + 175 + 35, -4*l + p + 441 = 0. Is l prime?
False
Let p = 1 - -2. Suppose -3*n = 2*y - 35, y - p - 2 = n. Let h = 36 - y. Is h a prime number?
False
Let h(n) = n + 6. Let j be h(-3). Let l(v) = 3 - 8 - 2*v - 8 - j*v. Is l(-10) composite?
False
Let a(y) = -2*y. Let v be a(-1). Suppose 3*p - r = -v*p - 10, -3*r + 12 = 3*p. Let w(m) = 58*m**2 - m. Is w(p) composite?
False
Let p(t) = t. Let k(x) = -6*x + 1. Let r(h) = k(h) - 3*p(h). Is r(-2) a composite number?
False
Suppose 3*m = 2 + 1, -2*u + 3*m = 497. Let w = -160 - u. Suppose -w = -d - 4*q, -5*d + d + 3*q = -253. Is d a prime number?
True
Suppose 0 = 3*d + 1 - 7. Is -1*(-7)/d*46 a prime number?
False
Let g(m) = 2 + 8 + 7*m - 1. Let h(o) = -o + 1. Let u(d) = -g(d) + 2*h(d). Is u(-8) a prime number?
False
Suppose -2*v - 3*v = g - 4, g = -2*v + 4. Suppose 2*r - 69 = -d, 4*d + 0*d + 2*r - 246 = v. Is d a prime number?
True
Suppose 0 = -4*q - 3*z + 1676, 2*z + 2*z - 2095 = -5*q. Is q a prime number?
True
Suppose 0 = -5*i + 6*i - 235. Is i a prime number?
False
Let j(o) = o**3 + 4*o**2 + 7*o - 15. Is j(7) composite?
True
Let d be (2/4)/((-1)/(-2)). Let m(w) = w**2 - w + 1. Let b(l) = 54*l**3 + 3*l**2 - 3*l + 3. Let i(y) = b(y) - 2*m(y). Is i(d) a composite number?
True
Let q(f) = f**3 + f**2 - 3*f - 2. Let z be q(-2). Suppose 4*l - 107 - 33 = z. Is l a prime number?
False
Let g be 33/(3/(5 - 2)). Let p = -18 + g. Is p a composite number?
True
Suppose -2*a - 2*a + 12 = 0. Suppose -s = -5*g + a*s + 337, 5*s = 5*g - 340. Is g a prime number?
False
Let p(a) = 19*a - 27. Is p(12) a prime number?
False
Let y(a) = -7*a + 7. Let z be y(-5). Let s = z + 46. Suppose 5*p - p - s = 0. Is p composite?
True
Suppose 2*w - 31 = -5*m, 5 - 4 = 2*m - 3*w. Suppose -m*h + 4*h = -5. Suppose -118 = -h*t + 3*t. Is t a prime number?
True
Let g = 1246 + -632. Is g composite?
True
Suppose -7010 = -5*h - 3*c, -5*c + 0*c = -25. Is h a composite number?
False
Let t = 7 + -7. Let a = t + 4. Is a prime?
False
Let m(u) = -u**3 + 3*u**2 + 4*u - 4. Let j be m(4). Is (-2)/j*396/6 a composite number?
True
Suppose 6 = r + r. Suppose -r*y + 7 = -14. Is y composite?
False
Let s(g) = -g**2 + 5*g + 8. Let z be s(6). Let d be (1/z)/(1/6). Suppose -3*n + 2*o - 62 = -249, -o + 172 = d*n. Is n a composite number?
False
Suppose -5*u + 2*i + 6585 = 0, -2*u = 6*i - i - 2663. Is u prime?
True
Suppose v - 3 - 2 = 0. Suppose -2*r = -r - v. Suppose 0 = -5*y - 4*c + 257, r*c - 206 = -4*y + 2*c. Is y a composite number?
False
Suppose 3*l - 70 - 545 = 0. Is l a prime number?
False
Let i = 111 + -30. Suppose 2*l = -i + 3. Let a = l + 76. Is a a composite number?
False
Suppose 0 = 4*n - 5 - 3. Suppose v = -3*l + 754, 0*l = -3*l + n*v + 751. Is l composite?
False
Suppose -p - 3*p - h + 371 = 0, -276 = -3*p - 3*h. Suppose -11 = -2*t + 21. Let m = p + t. Is m a composite number?
False
Let w(t) = 9*t - 1. Let d be w(1). Let n be 426/4 - (-4)/d. Let x = n + -52. Is x prime?
False
Let r(b) = 2*b**2 + 5*b + 2. Is r(5) composite?
True
Let p = -3 - -6. Suppose 0 = 5*n - 0*n - 5, -p*w = n - 13. Suppose 30 = -2*z + w*z. Is z a prime number?
False
Suppose 20 = 2*z - 4. Suppose 0 = -4*t + z + 200. Is t a composite number?
False
Let y(h) = h**2 + h + 541. Is y(0) a prime number?
True
Suppose -4*i + 10 + 2 = 0. Suppose -35 = i*d - 4*f - 5, 3*d + 5*f + 3 = 0. Is 4/d + 539/21 a prime number?
False
Suppose 0 = o - 2*o + 1527. Is o composite?
True
Let x = -3 - -5. Suppose 2*o - 3*o + x = 0. Is ((-1)/(-3))/(o/138) composite?
False
Let d(o) = -7*o**3 - o**2 - 2*o - 1. Let w(v) = v**3 - 4*v**2 - 5*v - 2. Let l be w(5). Is d(l) a prime number?
False
Is -2 - (-1*135 + 4) a composite number?
True
Let l(t) = t**2 - 5*t - 9. Is l(8) a prime number?
False
Suppose -5*n = -3*n + 5*c - 35, 0 = 3*n - c - 10. Suppose 0 = -n*u + 1251 + 694. Let k = u + -278. Is k a prime number?
False
Suppose 0*p + 2*p = 946. Is p a composite number?
True
Suppose -4*w - w = -4630. Suppose -w = -5*c + 1109. Suppose 0 = -3*u - 2*s + 329, -4*s - c = -4*u + 65. Is u a prime number?
True
Let q(a) = 3*a**2 - 6*a - 7. Let c be q(5). Suppose x - 595 = -c. Is x a prime number?
True
Let w(h) be the second derivative of h**6/45 + h**5/60 - 5*h**4/24 + h**3/3 + 4*h. Let r(z) be the second derivative of w(z). Is r(6) prime?
False
Let a(u) = 3*u + 3. Suppose 0 = 3*d + 6, 2*f - 4*d + 8 = 4. Let q = 0 - f. Is a(q) a prime number?
False
Suppose -4*h + 32 = 12. Suppose h*w - 4*w = 355. Is w prime?
False
Suppose 4*l - 5*f - 7 = 0, -4*f - 5 + 3 = -2*l. Suppose l*b = b + 10. Suppose 0 = b*n - 117 - 218. Is n a composite number?
False
Let j(x) = 5*x**2 + 8*x + 11. Is j(-6) prime?
False
Suppose 0 = 2*a - 8, 3953 = 3*t + a + a. Is t a prime number?
False
Let c = 7 - 3. Suppose 4*j - 4*p = c, -5*j - 3*p - 3 = -10*j. Suppose j*m - 2*m + 22 = 0. Is m a composite number?
False
Suppose -3*p - 3*t + 1386 = 0, -6*p = -3*p + 2*t - 1387. Suppose b - p = -3*r - 3*b, 0 = 5*r + 3*b - 779. Is r prime?
True
Is ((-2)/6)/(2/(-1194)) a composite number?
False
Let h = 2342 - 1293. Is h prime?
True
Suppose -3*t - 13 = -4*p, -t + p + 4*p - 19 = 0. Let y = t + 2. Is (y - (-1 - -2)) + 4 a composite number?
True
Is (-5055)/10*(0 - 8/6) composite?
True
Suppose 3*o - 2278 = 5*c, -2*o + 2*c - 153 + 1665 = 0. Is o prime?
True
Let d(b) = 10*b**2 + 36*b + 25. Is d(-14) composite?
False
Let l be (-3 + 1 - -1) + 22. Suppose -t - 429 = -5*i, -72 = -i + 2*t + l. Is i composite?
True
Let i = 6 + -3. Let f = i + 0. Suppose f*w = 4*w - 71. Is w a prime number?
True
Let i = 1 + -1. Suppose -5*y = 2*v - y - 2, i = v - 3*y - 1. Let f(w) = 12*w**2 - 2*w + 1. Is f(v) a prime number?
True
Suppose -3*z = 92 + 22. Let j = 1 + -2. Let q = j - z. Is q a prime number?
True
Suppose 2*p - 6*p = 8. Let b(r) = -15*r + 3. Is b(p) a prime number?
False
Suppose 5*v + 459 - 1415 = 4*c, -2*v = -5*c - 396. Suppose -g - g + v = 0. Is g prime?
False
Let x = 4 - 1. Let p(c) = -5*c + 3*c**2 + c - x - 2*c**2. Is p(5) composite?
False
Suppose 4*z + 597 - 3785 = 0. Is z a composite number?
False
Suppose -5*a + d = 50, -a - 2*d = 2*a + 17. Let j = a + 15. Let b(r) = 3*r - 8. Is b(j) a composite number?
True
Suppose 3*n = 290 + 1063. Is n composite?
True
Let c(b) = b + 1. Let s(r) = r**2 + 1. Let d(t) = -c(t) + s(t). Let y(g) = g**2 + 3*g + 2. Let p(w) = 2*d(w) - y(w). Is p(-3) a prime number?
False
Let f(a) = a**2 - 6*a - 9. Let n be -1 - (-2)/((-2)/7). Is f(n) a composite number?
False
Suppose j + j - 8 = -3*z, 4*z = -4*j + 16. Let y(c) = z*c - 8 - c**2 + 11*c + 0*c**2. Is y(6) prime?
False
Let u be 30/(-12)*(-88)/10. Let o = u - 7. Is o composite?
True
Let o be (376/(-12))/(2/(-3)). Suppose -400 = -k + o. Suppose 0*q = 3*q - k. Is q a prime number?
True
Suppose 3*i - 113 = 4*q, -i - 2*i = 3*q - 141. Is i a composite number?
False
Suppose 4*m = o + 2, 3*m + o = 4*m - 2. Let c = m + 3. Suppose -u - c*u = -228. Is u prime?
False
Suppose 2*z - 2*a = -10, -3*a = -3*z - z - 17. Is z/((30/(-153))/5) a composite number?
True
Suppose 0 = -3*z + 12 - 0. Let q be 46/z*(-20)/(-2). Suppose 3*v + 2*v = q. Is v prime?
True
Let l(y) be the first derivative of -51*y**2/2 + y + 1. Is l(-2) a composite