number?
False
Suppose -2*v = -2*c - 42, 5*v - 113 = 2*c + c. Let p = v + 46. Is p composite?
False
Suppose -1293725 = -378*x + 353*x. Is x composite?
False
Let c be 6/(-21) - 180/(-42). Suppose 0 = c*d - 7 - 5. Is 2/(d - (-676)/(-226)) a composite number?
True
Let t be -4 - (-161)/35 - (-1962)/5. Let y = 1142 - t. Is y prime?
False
Suppose -3*f - 2*q + 1759 = -0*f, 2929 = 5*f + 2*q. Suppose c + f = -3*b, -c + b - 592 = -3*b. Is ((-4)/12)/(4/c) a composite number?
True
Let w(x) = 74*x**2 - x - 22. Is w(5) composite?
False
Let a = -78 + 183. Let y = -685 - -752. Let g = a - y. Is g a prime number?
False
Let t(f) = 6*f**2 - 8*f + 10*f + 6*f - 1 - f - 3*f**3. Is t(-4) a composite number?
True
Let v(m) = -1864*m**3 + 5*m + 6. Is v(-1) a composite number?
True
Suppose -5*u = 3*b - 457, 5*u - 23 = -4*b + 593. Suppose 0*p = p - b. Is p prime?
False
Suppose 0 = -2*f + 2*y - 37 + 879, 0 = 5*y + 10. Suppose 0 = 3*g - 4*g + f. Is g prime?
True
Let w be ((-172)/(-5))/((-2)/(-20)). Let b = -162 + w. Let q = b + -103. Is q prime?
True
Suppose -5*s + 6 - 1 = 0. Is 920 + (-10)/(-5) - s a prime number?
False
Let y be 19/(-4)*(-8 - -12). Let t(m) = -m - 18. Let k be t(y). Let c(q) = 650*q**2 - 2*q + 1. Is c(k) composite?
True
Let z = 18 - 13. Let y = 720 - 333. Suppose z*t = 3*n - 817, 0 = -3*n + 4*t - y + 1202. Is n a prime number?
True
Let s be 1 + -3 + (3 - 93). Let k = -181 - s. Let n = -24 - k. Is n composite?
True
Let g = 3604 - 1893. Let l = g + -348. Is l composite?
True
Suppose r - 14 = 10. Is 8/(r/4671) - -2 composite?
False
Is 14/((120/(-3785))/(-12)) a prime number?
False
Let c = 50 - 29. Suppose 2*i = -s - c + 1666, -3*s + 9 = 0. Is i prime?
True
Suppose 12 = -2*p - 4*p. Is (-1)/p + (-325)/(-2) a composite number?
False
Suppose 0 = 2*u + 2*d, 7*u + 3*d + 8 = 2*u. Is (69/u)/(6/(-16)) prime?
False
Let l = -9 + 4. Is l + 3 + (1 - (0 - 1010)) prime?
True
Let r = -20 + 29. Suppose -2*m = r - 15. Suppose -1230 = -4*k + d - 3*d, 2*d - 923 = -m*k. Is k a composite number?
False
Is -15*(-8)/(96/3188) a prime number?
False
Is (-42223 + 8)*(-2)/10 prime?
True
Let n(o) = -o**3 - 6*o**2 + 7*o - 1. Let t be n(-7). Let v be (-3 - t)/((-1)/34). Is (-1 - v)*(-14)/6 a composite number?
True
Let m(n) = 141*n**2 + 10*n + 12. Is m(13) a composite number?
False
Let j = -219 + 542. Suppose -3*i = 3*r - j - 925, r = 2*i - 841. Is i a composite number?
False
Suppose -38 = 4*c + x - 8, 26 = -2*c + 5*x. Is (-2)/c - 550/(-8) a prime number?
False
Let j(a) = a**3 - 5*a**2 - 4*a + 8. Let h be j(6). Let b be -42*h/9*3. Is (b + -11)*2/(-6) prime?
True
Is (-55246)/(-4) + ((-39)/6 - -6) a composite number?
True
Let d be 1/(2802/1402 + -2). Suppose 4739 + 2341 = 6*t. Let u = d + t. Is u a composite number?
False
Suppose 23*a + 14382 = 41*a. Is a composite?
True
Suppose -g + 24 = g. Let d = -49 - g. Let q = d + 282. Is q prime?
False
Suppose -3*h + 10 = -17. Is ((-366)/h)/(4/(-42)) composite?
True
Let b be (-3)/(3/2454*-6). Suppose 4*d - j = j + 12, 0 = -5*j - 10. Suppose -d*y = 131 - b. Is y a prime number?
True
Suppose 25146 = 21*z + 4335. Is z a composite number?
False
Let u be 2/12 - (-155)/(-30). Let j be (453/(-5))/(u/75). Suppose -j + 3 = -4*p. Is p a composite number?
True
Suppose 1852*m - 1854*m + 14866 = 0. Is m a prime number?
True
Suppose 5*s = n + 1854, -939 = -5*s - n + 917. Is s a prime number?
False
Is 25321/9 + 13 + (-1573)/117 prime?
False
Let w(g) = 80*g - 1. Let n(d) = -d**3 + 3*d**2 + d. Suppose -5 = 5*j - 15. Let l be n(j). Is w(l) composite?
False
Let n(k) = 4*k - 14. Let i be n(-7). Is (-339)/2*i/9 composite?
True
Let d(w) be the first derivative of 2*w**3/3 - 13*w**2/2 + 9*w + 15. Is d(8) composite?
True
Let q(l) = -7*l + 14369. Is q(0) prime?
True
Let s = 2805 + 788. Is s a prime number?
True
Let a(s) = -s - 4. Let m be a(-9). Suppose t - 4*u - 75 = 0, m*t + 0*u = -3*u + 283. Is t a prime number?
True
Suppose 0 = -3*t + 12, 0 = -5*l - 3*t - 2*t + 29875. Is l a prime number?
False
Let v = 46 - 115. Let d = v + 90. Is d composite?
True
Is ((-2)/(-3))/(192/140256) a composite number?
False
Suppose 56*v - 5222867 = 726293. Is v a prime number?
False
Suppose -3*d + 38 = 2*h, -27 = -5*d + h + 19. Suppose d*u - 11*u = -631. Is u a composite number?
False
Suppose 3*g = 5*m + 357, -2*g - 3*m + 561 = 3*g. Suppose 6*f - f + 4*t = -537, f + 3*t = -g. Let i = -66 - f. Is i a prime number?
False
Let p(z) be the first derivative of 25*z**4/24 + z**3/3 + z**2 + 11. Let j(n) be the second derivative of p(n). Is j(3) composite?
True
Let c(q) = -2*q + 10. Let h be c(3). Let x be h/((-16)/(-4))*434. Suppose -x = -n - n. Is n a prime number?
False
Let f = 36 + -55. Let j = -20 - f. Is -2 - (j + -119 - 1) a prime number?
False
Let j(z) = -z**3 + 6*z**2 - 5*z + 3. Let r be j(5). Suppose i - 1515 = 5*d, 7*i - r*d - 4593 = 4*i. Is i a composite number?
True
Is 4 + (-2)/8 + 4509/36 composite?
True
Let l(b) = 18*b + 4621. Is l(0) prime?
True
Suppose 3*r = 5 + 4. Suppose -r*c + 15 = q, q + 7 = -5*c + 30. Suppose 2*z = -q*z + 705. Is z composite?
True
Suppose 3 = n + 2*n, 2*n + 53 = -5*h. Let t(i) = i**2 - 4*i - 7. Is t(h) composite?
True
Is 115/138 + 703/6 composite?
True
Let r(i) = 66*i + 20. Let d be r(17). Suppose 8*l - d - 962 = 0. Is l a prime number?
True
Suppose -2*z + 7*z = 0. Suppose 309 = 4*m + 2*p - p, z = 5*p - 5. Is m a prime number?
False
Let o = 713 + -1596. Let t = -326 - o. Is t composite?
False
Let g(u) = 10*u - 21. Suppose 13*y = 17*y - 16. Suppose 5 + 63 = y*i. Is g(i) composite?
False
Suppose 3*n = n + 54. Is ((-873)/n)/((-2)/12) a composite number?
True
Suppose 506 = 4*l - 114. Let w(h) = h**2 + 7*h - 5. Let k be w(-8). Suppose 404 = 5*s - k*v, -4*s = v - l - 158. Is s a composite number?
False
Let y be (6/((-24)/(-20)) - 3) + 5. Suppose -y*o + 5070 = -3029. Is o composite?
True
Let h(q) = 7 - 73*q + 8 - 6 + 25*q. Is h(-5) composite?
True
Suppose 0 = 3*l - 4*l + 2231. Suppose -q = -4*c - 0*q + l, 5*q = -4*c + 2213. Is c a composite number?
False
Suppose 3*f - 4*o = 10, -f + 2*f = 5*o + 7. Is 179946/286 + f/(-11) a composite number?
True
Let a = -17 - -23. Let h = 413 + a. Is h a prime number?
True
Let t(c) = -c**3 - 10*c**2 + 13*c + 15. Let r be t(-11). Let p(h) = -54*h + 3. Is p(r) a prime number?
False
Let c = 1844 - -2939. Is c prime?
True
Let k(c) = c**3 - 6*c**2 - 8*c - 3. Let u be k(7). Let y(m) = -4*m - 5. Let q be y(u). Suppose -3*x = q - 104. Is x a composite number?
False
Let r(f) = -487*f + 165. Is r(-34) a composite number?
True
Let y(z) = 840*z + 106. Is y(4) a composite number?
True
Let z(r) = 7*r**2 + 9*r + 5. Let o = -5 - -29. Suppose -5*n - o = 6. Is z(n) prime?
False
Let u be (-134)/(-6) - 4/12. Suppose 4 = -3*j + 3*d + u, 4*j - 10 = -3*d. Is (134/j)/(8/16) composite?
False
Let f = -13 + 201. Let i = 303 - f. Is i composite?
True
Suppose -3*i - 2 = n - 17, 0 = 3*i - 2*n - 6. Let f = 4 - i. Suppose -2*q = 4*p - 9*p - 411, -2*q + 3*p + 409 = f. Is q prime?
False
Let z = -22 + 28. Suppose -x + 3*q = -0*q + 6, 3*q = z. Suppose -3*c - 4*a + 634 = x, 0*c + 4*c = 2*a + 860. Is c prime?
False
Let q(r) = -38*r + 25. Let m be q(-9). Suppose 62 = u + f + m, 3*u = 3*f - 939. Let t = u + 454. Is t composite?
True
Let d = -5 - -8. Suppose 5*b = d*b. Suppose b = -f + i + 89 + 37, 2*f + 3*i = 277. Is f composite?
False
Let u be (11/2)/(11/(-4598)). Let w = u - -3386. Is w a prime number?
True
Suppose 0 = -5*f + 304 + 741. Suppose f = 2*a - 213. Is a composite?
False
Suppose 3*m - 139847 = 122902. Is m prime?
True
Suppose 8*i - 3*a = 6*i + 958, -4*i + 1916 = 5*a. Is i a prime number?
True
Let w(s) = -s**3 + 11*s**2 + 5*s + 5. Let i(v) = 2*v**3 - 32*v**2 - 14*v - 14. Let g(q) = -6*i(q) - 17*w(q). Let m be g(-4). Is (m/(-6))/(1/2) prime?
True
Let r(o) = 665*o + 51. Is r(16) prime?
True
Let u(r) = 50*r + 5. Let w be (10/50)/(((-9)/15)/(-3)). Is u(w) a composite number?
True
Let j be (40/(-50))/(2/(-5)). Is 376/(-48)*-393 - (-1)/j a prime number?
True
Let i be (-3)/(-2 - (-1 + 0)). Let r = 6 + i. Suppose r*z - 1585 = 4*z. Is z composite?
False
Let k(x) = 32*x**3 - x**2 - x + 5. Let a be k(3). Let m = a + 1829. Suppose y = -y + m. Is y a prime number?
False
Suppose z + 6*z = -21. Is (573/6)/(z/(-6)) a prime number?
True
Is 78014/(-57)*(-66)/4 a prime number?
False