 number?
True
Let a = 3 - 73. Let w = 38 - 82. Let n = w - a. Is n a prime number?
False
Is 6/(2/(-1)) + 634 a composite number?
False
Let h(n) = 8*n**2 + 6*n - 14. Let o be h(9). Let w = o - -629. Is w prime?
False
Suppose 3*d - 5*d + 8 = 0. Suppose -d*z - 23 = -3, -162 = -3*v + 3*z. Let u = v - 16. Is u a prime number?
False
Let p be 300/44 - 3 - 4/(-22). Suppose -p*j + 2*w = -5586, -2*j + 5*w + 2681 = -92. Is j a composite number?
False
Suppose 3*t - 53 = -182. Suppose 0 = 5*q - 36 + 361. Let f = t - q. Is f prime?
False
Suppose 7*c - 3*c = 5*r - 70, 5*r - 10 = 0. Let x = 20 + c. Suppose 0 = 2*n + 5*u - 163, 0 = -x*n - u - 54 + 496. Is n a prime number?
True
Let s(v) be the first derivative of -1 + 2/3*v**3 + 8*v**2 - 11*v. Is s(-14) prime?
True
Suppose -6*b = -11*b + 55. Is (b/(-44))/((-1)/844) composite?
False
Suppose 2*l - 6 = -2*v - 2*v, 0 = -3*l - 3*v. Let y(c) be the second derivative of -5*c**3/6 + c. Is y(l) prime?
False
Let g(d) = 28*d + 1. Let q be g(4). Suppose -5*x + q = -82. Is x a composite number?
True
Is -7 - (2/11 + (-6897040)/220) a composite number?
True
Suppose 171580 = 25*u - 5*u. Is u prime?
False
Let n(k) = 2*k**2 - 11*k + 1. Let v be n(-9). Let h = v - 95. Suppose 4*q + h = 1507. Is q prime?
False
Let i = -6106 - -13677. Is i a prime number?
False
Let f(r) = 64*r**2 + 1. Is f(-1) a prime number?
False
Let b be (-4)/(-6)*15/(-2). Suppose 5*d - 133 - 122 = 0. Let r = b + d. Is r composite?
True
Let u = 3913 + 5380. Is u a prime number?
True
Let b = 208 - 185. Is b composite?
False
Let w(x) = 11*x**2 + 5*x + 1. Let t be w(-5). Suppose -265 = -12*j - 41*j. Suppose -4*m - j*h = -m - t, -5*h + 20 = 0. Is m a prime number?
False
Let h be 943 - (7/(28/(-24)) + 4). Suppose -2663 - h = -8*a. Is a a composite number?
True
Suppose -4*w = 3*p - 5571, -4*p + 7441 = 2*w - w. Is p a composite number?
False
Let j = -32 + 35. Suppose -j*r = -2*y + r + 974, 3*y = -4*r + 1491. Is y composite?
True
Let n(u) = u**3 + 13*u**2 + 7*u - 7. Let b be n(-11). Let g(k) = -k + 1. Let w be g(-3). Suppose -102 = -w*a + b. Is a a composite number?
True
Let d = -2432 - -7881. Is d composite?
False
Let s be (1 + 0 + -3)*-2. Let b(q) = 8*q**2 + 3*q. Let u be b(s). Suppose u = 4*t + 5*g - 191, 2*g = 4*t - 310. Is t composite?
False
Let q be 4 - 10 - 0/1. Let h = -232 - -178. Is ((-158)/(-6))/(q/h) a prime number?
False
Let i(s) = 5*s**2 + 6*s - s - 8 + 13*s**2 - 6*s**2. Is i(3) a composite number?
True
Let r be 156/10 - (-2)/5. Suppose 802 - r = 2*w. Is w prime?
False
Let g(a) = 4*a**3 - 15*a**2 - 5*a - 16. Let t(k) = 7*k**3 - 31*k**2 - 9*k - 31. Let s(z) = 5*g(z) - 3*t(z). Is s(16) a prime number?
True
Let c(u) = -1470*u**3 + 7*u**2 + 6*u. Is c(-1) prime?
True
Suppose 4*f = 5*c - 33047, 4*f + 14939 - 1713 = 2*c. Is c a composite number?
False
Suppose 73188 = 3*p + 29*l - 28*l, -48809 = -2*p + 5*l. Is p prime?
False
Suppose 6*a = 782 + 6028. Is a composite?
True
Let w(f) = 84*f**2 + 4*f + 2. Let x = 9 + -13. Let r be w(x). Is 1/3 - r/(-15) prime?
True
Suppose 93129 = 12*j + 13377. Is j a prime number?
False
Let s(l) = -12*l**3 - 2*l**2 - 23*l - 16. Is s(-6) prime?
False
Let w = 11 - -18. Suppose 0 = -6*y - 5 + w. Is ((-4)/12)/(y/(-1428)) composite?
True
Let q = -2135 - -4639. Suppose 4*v + 532 = q. Is v a composite number?
True
Is ((-6)/9)/((16/47958)/(-4)) prime?
True
Let w(g) = -g**2 - 15*g - 31. Let x be w(-13). Is (x - 0 - -464) + (-4)/2 composite?
False
Suppose 0 = -9*n + 8*n - 4*l + 24549, 2*n - 5*l = 49124. Is n a prime number?
False
Suppose 0 = -3*a + 4*a + 3*b - 1627, 5*b = 10. Let v = a - -452. Is v a composite number?
True
Let t(f) = -335*f**2 - 1. Let h be t(2). Let l = -82 - h. Is l prime?
True
Suppose 6*j - 198 = 42. Let n = 66 - j. Is n a composite number?
True
Let y(p) = 669*p**2 - 12 + p + 667*p**2 - 1345*p**2 - 2*p**3 - p**3. Let i be -12 + 1 - -1 - -1. Is y(i) prime?
False
Let j = 9044 - 3399. Is j a prime number?
False
Suppose -4869 + 12234 = 5*p. Let h = p - 848. Suppose -h = -3*s + 134. Is s a composite number?
True
Let m(n) = -149*n**3 - 9*n**2 + 15*n + 19. Let y(c) = -75*c**3 - 4*c**2 + 7*c + 9. Let z(w) = -4*m(w) + 9*y(w). Is z(-2) a prime number?
True
Let u(i) = 18*i**3 - 3*i**2 + 5*i - 1. Is u(2) a prime number?
False
Suppose -3*i + 25 = 2*i. Suppose 2*y + 2*h - 2565 = -3*y, 0 = -4*y - 4*h + 2040. Suppose i*l - 3*c = y, -5*l - c + 881 = 346. Is l prime?
False
Let q(b) = 3*b**3 + 59*b - 6*b**2 - 59*b - 23. Is q(6) a composite number?
False
Let y(i) = 4*i**2 + 4*i**2 - i**3 - 5*i**2 + 4*i**2 - 3. Let b be y(7). Is b/(-15) + 128/10 a composite number?
False
Suppose 3*n - 10 = -2*b, 3 - 28 = 4*n - 5*b. Suppose 3*y - 8*y = -5*l + 25, -5*l + 4*y + 22 = n. Suppose l*h + 254 = 4*h. Is h composite?
False
Suppose -2*f = -3*r + 12 + 24, 4*f - 3*r + 72 = 0. Is 19719/f*(-4)/7 composite?
True
Let h = -47205 - -84344. Is h a prime number?
True
Let v = -43801 + 90186. Is v composite?
True
Let n = 24 + -22. Suppose d - l = 3*l + 219, d = n*l + 213. Suppose 0 = 2*j - d + 13. Is j a prime number?
True
Is (56466/(-12) + 2)/(12/(-24)) a prime number?
False
Let w = -3147 - -5455. Let a(d) = 2*d**3 + 8*d**2 - 10*d + 9. Let j be a(6). Suppose 4*n - w = -3*l - j, -4*n - 2*l + 1638 = 0. Is n a composite number?
False
Let i(h) = -h**3 + 6*h**2 + h - 3. Let t be i(5). Suppose 0 = 2*u - t - 73. Let d = u - 1. Is d prime?
False
Suppose -2*k - 2*w + 2 = -312, -3*k + w + 471 = 0. Is k a prime number?
True
Let v be (56 - (2 - (-3 - -4))) + -1. Suppose -49*o = -v*o + 16825. Is o a prime number?
False
Let i(p) = -33*p**2 + 2*p - 6. Let d(s) = 2*s + 10. Let n be d(-3). Let w(a) = -34*a**2 + a - 6. Let h(y) = n*w(y) - 5*i(y). Is h(5) prime?
True
Let s(v) = -v**3 + 2*v**2 + 6*v - 6. Let d be s(3). Suppose d*p = 5*p - 2134. Is p a composite number?
True
Suppose z + 14*i - 1983 = 15*i, 4*i - 3990 = -2*z. Is z composite?
False
Suppose -5*g + 50 = -0*g. Let w(b) = -3*b - b + 5*b + g. Is w(-8) a prime number?
True
Is (-6)/9*9 + 2105 a composite number?
False
Suppose -2*d = 2*m - 1612, 8*m - 4*m - 5*d = 3251. Let f = m + -483. Suppose -673 - f = -9*w. Is w a composite number?
True
Let t(r) = -32*r**2 - r + 2. Let g = 5 - 2. Let o be t(g). Let j = o - -444. Is j composite?
True
Is 65782/6*(-62 + 65) a prime number?
False
Let t(b) = b**3 - 5*b**2 - 11*b + 14. Let s be t(11). Let z = s + -140. Is z composite?
False
Let y = 876 + -1426. Let u = 801 + y. Is u prime?
True
Let h(m) = -m**2 - 18*m + 3. Let a = 2 - 16. Is h(a) a composite number?
False
Suppose 0 = -y - 3*y + 16. Suppose -3*i + 1 = y*r + 5, -i - 2*r - 4 = 0. Suppose -o = -i*o + 291. Is o composite?
False
Suppose -f + 4*t + 13 = -25, 4*f - 76 = -3*t. Is f prime?
False
Suppose -3*m + 5503 = 5*w, -3*m + w = -0*w - 5491. Is m a prime number?
True
Let k(w) = 2*w**3 + 10*w**2 + 11*w - 8. Let g be k(-4). Let y(l) = -l**2 + l - 39. Let i be y(0). Let x = g - i. Is x prime?
True
Suppose -5*w + d - 3*d + 70535 = 0, 4*w - 5*d = 56428. Is w composite?
False
Suppose -2*z + 240 = 2*z. Suppose 0 = 2*n - 7*n + z. Suppose -n*o + 7*o + 3385 = 0. Is o composite?
False
Is 1/8 + 591498/48 composite?
False
Suppose 7*g + 74 = 5*g + q, 0 = 5*q - 10. Let h = g - -115. Is h a composite number?
False
Suppose -x = -f + 9169, 0 = 2*f - 9*x + 11*x - 18338. Is f a prime number?
False
Let r = -1325 + 837. Let m = 739 + r. Is m prime?
True
Suppose -4*m - 8 = 4*y, -2*m = 3*m - 2*y + 31. Let t be 0/((-2 - m)/(-3)). Suppose 0 = 4*p + 2*z - 2004, 0 = -t*p - 2*p - 5*z + 986. Is p a composite number?
False
Let i = -471 + 920. Suppose -4*x = -2*l - 570, 5*x = -3*l + i + 269. Is x a prime number?
False
Suppose -3*n + 5565 = -3*k, 7421 = 4*n - 7*k + 4*k. Let z = 207 + n. Is z a composite number?
False
Suppose 15*p - 72754 = -7*p. Is p a composite number?
False
Let u be (-6)/(-10) + 48/20. Suppose -u*t - 7 = -1. Let y(k) = -3*k**3 + 3*k**2 + k - 1. Is y(t) a prime number?
False
Let q(r) = -r**2 - 3*r + 10. Let p be q(-5). Suppose p = w - 3*c - 1270 + 240, -3*w + 4*c = -3085. Is w a prime number?
False
Let y = 114 - 112. Suppose -1292 = -0*t - 2*t - y*h, -t + 648 = -h. Is t a composite number?
False
Let b = 132 - 92. Suppose 0 - b = 5*t. Let j = -4 - t. Is j a prime number?
False
Let m(v) = -v**3 + 2*v - 1. Let j be m(-5). Let o(h) = -9*h + 109. Let i 