ppose -2*x - 791 = -u - 4*u, -3*x + 462 = r*u. Let m = 374 - u. Is m a prime number?
False
Let a(v) = -13*v - 48. Suppose -2*u = -2*f - 74 + 18, f - 2*u + 33 = 0. Is a(f) a prime number?
True
Let d(r) = -r**3 + 2*r**2 + 1084. Let h be d(0). Suppose -4*w + h = -1248. Is w composite?
True
Suppose -111*p + 45*p = -73237055 - 35706439. Is p composite?
False
Let g(o) be the third derivative of o**7/280 - o**6/15 - o**5/8 - o**4/8 + 13*o**3/6 - 21*o**2. Let p(x) be the first derivative of g(x). Is p(11) composite?
True
Suppose 0 = 103*d - 1379019 - 1022014. Is d a composite number?
False
Let h be 567 - 0/2 - (-2 + -1). Let o = 1342 - h. Let j = -471 + o. Is j composite?
True
Let u(g) = g**3 + 8*g**2 - 12*g - 27. Let d be u(-9). Suppose -5*y - 5*b + 17540 = d, -y = 2*y + 2*b - 10529. Is y prime?
False
Let t = 158755 + 221676. Is t composite?
True
Let k(d) = 2*d**3 + 5*d**2 + 4*d + 1. Let z be k(-2). Is 968 + z/(-9) + 28/(-21) composite?
False
Suppose -111*p = -138*p + 5320393 + 2947250. Is p prime?
True
Let w be -6405 + (0 + 4)/(-4). Let h = w - -23923. Is h prime?
False
Suppose -3*w + 197082 = -z, 924*z - 920*z = 3*w - 197091. Is w prime?
False
Let m be 38/10 - (-10)/50. Suppose 0 = -6*s + m - 16. Is (-16)/(-32)*((-7600)/s + 2) a composite number?
False
Let g = -10487 + 2471. Let l = 12563 + g. Is l a prime number?
True
Suppose 9 + 7 = 5*l + 4*s, 5*l = 4*s + 24. Let n(i) = -i**3 - 28*i**2 + 21*i + 573. Let b be n(-28). Is (b/(-5) - l)*2302/(-2) a composite number?
False
Let a(h) = 8*h**3 - 8*h**2 + 10*h - 37. Let x be a(15). Let s = x - 16272. Is s prime?
True
Let d(k) = 550*k + 165. Let j(b) = -50*b - 15. Let z(r) = -6*d(r) - 65*j(r). Let y = 36 - 46. Is z(y) composite?
True
Suppose -9*c = 321 - 10230. Is c prime?
False
Let v be (-1 - -2)/(4/12). Suppose x - 3*s = v*x - 20057, -s + 3 = 0. Is ((-1)/2)/((-4)/x) a prime number?
False
Let v(j) = 9199*j - 3. Let c be v(1). Suppose -5*l + 34121 - c = 0. Suppose 0 = -3*o - 2*o + l. Is o a prime number?
True
Let b(q) = -5823*q + 9. Let p be b(-1). Suppose p = 5*s - 44003. Is s prime?
True
Suppose -19*o - 275274 = -4705561. Is o prime?
True
Let p(z) = -z**2 - 11*z + 4. Let s be p(-10). Suppose 0 = s*w - 10*w + 4. Is (3 - (5 + w))*-1423 prime?
True
Let r(y) = -153*y**3 - 5*y**2 + 13*y + 172. Is r(-9) prime?
True
Is (2 + -2 - 2)/((-402)/570596187) prime?
False
Let h = -14 + 7. Suppose 174*z + 42 = 172*z. Is (-1)/h + (-10602)/z prime?
False
Suppose 3*u + 1 - 7 = -3*l, 0 = -u - 4*l - 4. Suppose 4*b - 4*x - 100 = 0, b - 2*x + u - 31 = 0. Suppose 19*n = b*n - 2516. Is n prime?
False
Suppose -2*r = -a + 3*a - 90556, 4*a = 5*r - 226417. Is r a composite number?
False
Suppose 129*s - 118*s - 283745 = 0. Suppose 2*u - 5*i - 10336 = -3*i, 5*u = -4*i + s. Is u a composite number?
True
Suppose 58 = -3*z + 55. Is z - (-20327 + -3) - 2 composite?
False
Suppose 2*r - r - 16 = -4*w, w = -5*r + 4. Let s(k) = -k**3 - 2*k + 901. Is s(r) a composite number?
True
Let y be 452/(-8) - (-1)/2. Let g = -55 - y. Is -4 - (g + (-262)/1) prime?
True
Let u = 522273 + -372122. Is u a composite number?
False
Let s = 111 - 104. Let a be 65010/14 + 5 - (-3)/s. Suppose 3*l - a = 5*o, -4*l + o + 2*o = -6184. Is l a composite number?
False
Suppose 3*a + 22*u - 140 = 18*u, -4*a = u - 178. Is (-4)/2 + (a - -4063) composite?
True
Let u = -7336 - -10125. Is u composite?
False
Let k be -52*(130/(-180) - (-6)/27). Is (19538/(-1))/(24 - k) a prime number?
True
Let i(g) = -15*g + 142. Let l be i(10). Is (2/l)/(1/1262)*-2 composite?
False
Let y(v) = v**2 - 41*v - 3421. Is y(-64) prime?
True
Suppose -5*w + 1102 + 2193 = 0. Let v = w - 385. Let f = 285 + v. Is f a prime number?
False
Let x = -522 - -524. Suppose 3*p - 28554 = -x*v + 3*v, -38065 = -4*p - v. Is p composite?
True
Suppose 3*t = -5*c + 81514 + 24069, -2*c = -3*t + 105611. Is t composite?
False
Suppose -2*h = 18*h. Suppose -19*x + 17*x + 19486 = h. Is x a prime number?
True
Suppose -2*r - 11*r = -19461. Let a = 2242 - r. Is a a prime number?
False
Let l(z) = 147*z**2 + 31*z + 105. Is l(-37) a prime number?
True
Let i = -6911 - -9751. Suppose 3*m + 0*w = -2*w + 2837, 5*w = -3*m + i. Let l = 1450 - m. Is l a composite number?
True
Let j(p) = 2*p**3 + 19*p - 7. Is j(16) a prime number?
False
Suppose 6*g = 3220 + 1748. Let c = g + -455. Is c composite?
False
Is (-2 - 44/(-24)) + (-23623208)/(-336) a prime number?
False
Let y = -175 + 291. Let t be y*(-6)/(-168) + (-2)/14. Suppose t*s = 15*s - 6446. Is s a prime number?
False
Suppose 5*i = n + 7*i - 164009, 5*n + i = 820108. Is n a prime number?
True
Suppose 3*z + 8492 = 27875. Let u = 2768 + z. Is u composite?
True
Suppose d - 3*v - 1 = 0, 4*v - 4 = 3*d - 7. Is d/(-5) + (-505920)/(-100) prime?
True
Let v = -198 + 205. Suppose -2*x + 876 = s, v*x + s = 6*x + 439. Is x prime?
False
Suppose 3*s = -3*l - 0*s + 12, 3*l - 3*s = 6. Suppose 0 = -2*i + 10, l*i + 0 = -4*m - 1. Is 1733 + m + (-1 - -5) prime?
True
Let v(u) = 16773*u**2 + 128*u - 261. Is v(2) a composite number?
True
Let v(l) be the third derivative of -l**6/120 + 13*l**5/30 + 17*l**4/24 - 5*l**3/2 + 18*l**2. Let z(h) = h**2 - h - 4. Let a be z(6). Is v(a) composite?
True
Suppose -12*w + 1414362 = 316314. Is (w/98 - 4/(-14))*1 composite?
True
Suppose 278513 = 6*g - 313873. Is g composite?
False
Let o be 5/(-15) - 704/3. Let f = o + 1376. Is f a composite number?
True
Suppose z = 3, -743*x + 2781779 = -739*x - 3*z. Is x a composite number?
False
Suppose -14*b + 8230418 = -2117976. Is b a prime number?
True
Let m = 2519 + 252. Suppose -r + l + 2775 = -l, r = l + m. Is r a composite number?
False
Suppose n = -0*n + 34. Let m be (-21842)/(-18) + -10*16/360. Suppose 33*i + m = n*i. Is i prime?
True
Let o(r) = 19*r + 290. Let y be o(-15). Suppose y*n - 5*x + 9637 = 8*n, 3*n + x - 9629 = 0. Is n composite?
False
Suppose 0 = -2*x + p + 210712, 15*x + 632148 = 21*x - p. Is x a prime number?
True
Let l be 0/((-5)/5) + -3. Is (-13 + 3 - l)*-67 a prime number?
False
Suppose -24*p - p + 8905525 = 0. Is p a composite number?
True
Let y = 33815 + -54024. Let v = y + 36854. Is v prime?
False
Suppose -97*t + 44 = -86*t. Suppose -4*j + 53905 = -12*b + 15*b, t*b = -2*j + 71880. Is b composite?
False
Suppose 2*o = 3*u + 5*o - 21, -u + 9 = 2*o. Is ((-120617)/28)/(-3*u/60) a prime number?
True
Is (13 + -6)*942027/21 a prime number?
False
Let i be (1*13)/((-15)/360). Let f = 378 - i. Suppose 474 + f = 4*t. Is t a prime number?
False
Is 7/((-21)/(-5004)) + 1 composite?
False
Let q(f) = 10*f**2 - 12*f + 8. Let l be q(8). Suppose 28*b = 30*b - l. Let c = b + 169. Is c prime?
False
Suppose -88642 = -2*i + 4*n, 153 = 4*n + 129. Is i a composite number?
True
Suppose -34*i + 35*i + 84 = 0. Let h be (-24)/i - 164/(-14). Is 497 - (-3)/(h/8) composite?
False
Let x(a) = 596*a**3 + 5*a**2 - 9*a - 15. Let n(g) = g**3 + 2*g**2 - 1. Let o(y) = 3*n(y) - x(y). Is o(-2) composite?
True
Let r be (-60)/(-105) + ((-1111024)/(-28) - 2). Suppose -r = -4*m + 2*g + 950, -10143 = -m + 4*g. Is m prime?
True
Let d(b) be the second derivative of b**3/6 - b**2 - 14*b. Let v be d(5). Suppose 652 = y + v*y. Is y a prime number?
True
Let d be ((-8)/(-7))/(60/210). Suppose d*a = 4488 + 14228. Is a prime?
True
Let c = 71 - 85. Is 107802/848 - (1 - c/(-16)) composite?
False
Suppose -5*w = 5*a - 4*a - 13, -32 = -2*a - 4*w. Is 2*(1273 + a)*14/4 a composite number?
True
Let v(l) = 10*l**3 - 2*l**2 - 5*l - 1. Let u be v(-4). Let m = u + 1155. Let p = 547 + m. Is p a composite number?
False
Suppose -22*w + 3*f - 242991 = -26*w, -w - 5*f = -60752. Is w a composite number?
True
Let b = 75 + -75. Suppose b = 13*v - 20*v + 21. Suppose v*i = 4*i + 2*f - 1381, -5*i + 4*f + 6905 = 0. Is i composite?
False
Let w(y) = 2044*y**2 - 153*y + 482. Is w(3) prime?
False
Suppose 4*u = -5*j + 90113, 2*u + 4007 = 4*j + 49031. Is u composite?
True
Let y(d) be the first derivative of 7*d**4/4 - 4*d**3/3 - 4*d**2 + d - 16. Let o be y(6). Let n = o - 638. Is n prime?
True
Suppose -3*v + 15965 = 4*r, 2*v - 5*v = -2*r + 7987. Suppose 5*p = -a + 1010, 2*p + 2*p = -4*a + r. Is (3 + a)*2 + -5 a prime number?
False
Let q(p) = -97154*p - 2643. Is q(-5) a prime number?
True
Suppose -52*p + 68107 = -203697. Is p a composite number?
False
Let x be 1*(-28)/7 - 84168/(-3). Suppose 80*n 