rue
Suppose -y + 775 = 2*t, -3*t + 4*t - 3902 = -5*y. Let v = y - -67. Suppose v = z + 275. Is z prime?
False
Suppose -b = -5*t + 36, 72 = -5*b + b + 2*t. Let u = b + 14. Let g(m) = -2*m**3 - m**2 + 2*m + 1. Is g(u) prime?
False
Suppose -2*u - 152 - 180 = 0. Let p = u + 349. Let t = p - -74. Is t a composite number?
False
Suppose -3 = 2*a - a, 2*a = 2*z - 12944. Is z prime?
True
Let u(i) = -21*i**2 - 39*i + 10. Let h(y) = -y + 1. Let l(n) = -h(n) + u(n). Let b(j) = 7*j**2 + 13*j - 3. Let s(r) = -17*b(r) - 6*l(r). Is s(7) a prime number?
True
Let n(b) = -8*b**3 + 5*b**2 - 25*b - 8. Let c be n(-12). Suppose 6*t + c = 10*t. Is t a composite number?
False
Let h(i) be the third derivative of -67*i**4/12 - i**3/6 - i**2. Let z = 271 + -276. Is h(z) a prime number?
False
Let j = 42 + -40. Let q(k) = 64*k**2 - 3*k + 3. Is q(j) a composite number?
True
Let i be (-86)/(-2 - -2 - 2). Suppose 4*o = 5*c + i, -c + 41 = 5*o - 3*c. Let u(t) = 29*t + 8. Is u(o) composite?
False
Suppose 2*s = 3*g + 7, -5*s + 2*g + 28 = 5*g. Let j be 72*4 - (0 + -2). Suppose 0 = -2*i + 10, i - 2*i = s*w - j. Is w a prime number?
False
Let v(u) = u**3 + 67*u**2 - 202*u + 109. Is v(-68) a composite number?
False
Let l(z) = z**3 + 9*z**2 - 10*z. Let i be l(-10). Suppose i = -2*u + 219 + 337. Is u prime?
False
Let t(o) = 5*o**2 - 155*o + 31. Is t(38) a composite number?
False
Is 1/(100620/14374 - 7) a composite number?
False
Is (84/56)/(3/4358) a prime number?
True
Let t be (-7)/((-35)/(-10)) + 23345. Suppose 0 = -6*r + t - 4611. Is (-2 - (-5)/2)*r a composite number?
True
Suppose 217*k = 187*k + 2252370. Is k a prime number?
True
Let h be 6/(-2) + (-18)/(-3). Suppose -3*t + h = -12. Let a(j) = 3*j**3 - 4*j**2 + 3*j + 3. Is a(t) a prime number?
True
Suppose -7*v + 127 + 90 = 0. Let b = -5 - -5. Suppose -s + v + 6 = b. Is s a composite number?
False
Let r(s) = 30*s**2 + 38*s - 197. Is r(-30) prime?
False
Let k(n) = n + 1. Let c(j) = -78*j - 26. Let w(t) = c(t) + 3*k(t). Is w(-14) a composite number?
True
Suppose 12*a + 3538 - 11950 = 0. Is a prime?
True
Suppose 0 = k + 433 - 4839. Is k composite?
True
Suppose i = -2*b - 11, 2*i - i - 24 = 3*b. Let q = b + 6. Is 653/(-3)*(q - 2) composite?
False
Let b(j) = 183*j + 17. Let t be 0 + 912/90 - 2/15. Is b(t) a prime number?
True
Suppose -6362 = -4*c + 26874. Is c a prime number?
False
Let m = 9 - 7. Suppose -4*q = -m*l - 1558, 2187 - 241 = 5*q - 3*l. Is q a prime number?
False
Let h = 16144 - 9339. Is h prime?
False
Suppose 81656 + 241491 = 11*z. Is z composite?
True
Is 3*((-1)/(-2))/((-33)/(-16522)) a composite number?
False
Let t = 2 - 2. Let y = 921 - -587. Suppose -2*v - 2*v + y = t. Is v composite?
True
Is ((-4)/12)/(307516/(-51252) - -6) a composite number?
False
Let b(t) be the third derivative of t**6/120 - t**5/20 - t**4/3 - 5*t**3/6 + 6*t**2. Is b(8) prime?
True
Let r(u) = -59*u - 237*u + 18 + 1 + 63*u. Suppose -2*a = -1 + 17. Is r(a) prime?
False
Suppose 0*y - 5*y + 4*h + 37 = 0, 4*y + 3*h - 11 = 0. Suppose -g + 4*f - 3196 = -y*g, 2*f = 5*g - 3995. Let l = g + -186. Is l a prime number?
True
Suppose 87*g - 110*g + 326531 = 0. Is g prime?
True
Let g(k) = -637*k + 502. Is g(-31) composite?
False
Let d(g) = 21636*g - 15. Is d(1) a composite number?
True
Suppose 0 = -6*i + i + 15, 3*a - 16503 = -3*i. Is a a prime number?
False
Let m = 20236 + -7107. Is m composite?
True
Let b(t) = 2*t**2 - 5*t + 4. Let a be b(2). Suppose 4*z - 220 = 4*f, a*z - f = 58 + 52. Is z a composite number?
True
Let p(b) = b**2 + 2*b + 3. Let d be p(-3). Suppose 3*c - d = o - 3*o, o = 5*c + 16. Suppose o*q - 1285 = -19. Is q a prime number?
True
Suppose 4*l = -2*b + 17 + 575, -2*b + l = -567. Suppose 2*m - b = t, -2*m + 0*t - 5*t = -274. Is m a composite number?
True
Let u(n) = n**2 + 10*n. Let g be u(-10). Suppose g*c - 117 = -3*c. Is c prime?
False
Suppose 3*h - o - 526 = 0, -3*h + 4*o = -831 + 293. Suppose -n - 174 = 2*s - 3*n, 2*s + h = -3*n. Let w = -34 - s. Is w prime?
True
Let t = 26 + -21. Suppose 2*p - 7*p = b - 29, 2*p + t*b - 30 = 0. Suppose 451 = p*c - 1104. Is c composite?
False
Let u(f) be the first derivative of 209*f**4/2 + f**3/3 + f**2/2 - f - 9. Is u(1) composite?
False
Let g(o) be the second derivative of -3*o + 1/12*o**4 + 15/2*o**2 + 1/6*o**3 + 0. Is g(0) composite?
True
Let k = -1263 - -3704. Let h = k - 1634. Is h prime?
False
Let d(k) = 6*k**2 - 5*k - 42. Is d(-17) prime?
True
Let l(o) = -2*o**2 + 124*o + 71. Is l(38) composite?
True
Let p(h) = 561*h - 49. Is p(32) a composite number?
False
Suppose 9*c = 12*c + 747. Let v = c - -550. Is v prime?
False
Let z(w) = -w**2 + 2*w. Let s be z(3). Let r be 3 - (1 + -69 - s). Let c = r + 95. Is c a composite number?
False
Suppose -b - 4*l + 5 = 0, -2*b + 2*l = l - 1. Let y be b/3 - 4265/(-3). Suppose 4*f + 340 = -5*i + 2097, y = 4*i - 5*f. Is i composite?
False
Suppose -u + 20519 + 17362 = 4*x, -28427 = -3*x - 4*u. Is x a prime number?
False
Let j(n) = 973*n**3 + 2*n**2 - 4*n + 3. Let w be j(1). Let f = 5049 - 3606. Let c = f - w. Is c a prime number?
False
Let a be ((-10)/(-30))/((-1)/(-6)). Suppose -a*o - 6990 = 4*o. Is (-2)/(3 - (-3505)/o) composite?
False
Let x = 15 - 10. Let n(r) = 2*r - 6. Let i be n(x). Suppose -w + u + 23 = -0*u, -4*w - i*u = -116. Is w prime?
False
Suppose 0 = -t - 0 + 2, -4*t = -4*a + 1044. Let c = -145 + a. Is c a prime number?
False
Suppose -2*z = -3*c + c - 4, -c + 4*z = 17. Suppose x = -c + 1. Is x*(-1 + -22) - 0 composite?
True
Suppose 0 = -5*b + 4*v - 0*v + 10, -4*b = -3*v - 9. Let z(r) = r**3 + 9*r**2 - 6*r - 3. Is z(b) composite?
True
Let z be (-279)/(-1 + 4)*70/(-21). Let r = 1 - -1. Suppose -3*u - 2*w + 401 = r*u, 0 = 4*u - 2*w - z. Is u a prime number?
True
Let h(j) = -j**3 + 3*j**2 + 5*j - 8. Let v be h(4). Let u(p) = -p**3 - 4*p**2 + 2*p + 5. Let a be u(v). Is 1*(-2 - a - -30) a prime number?
True
Let m = 1509 - -2634. Is m a composite number?
True
Let i(s) = 20*s**2 - 2*s - 4. Let d be i(7). Suppose -l + d = -3*p, -3*l + 2533 = -4*p - 328. Is l prime?
True
Suppose -4 = f - 3*f. Suppose 3*k = f*d, k + 4*k - 25 = -5*d. Is (-446)/(-3) + 1/d prime?
True
Let w be (-6)/10 + (-2772)/(-20). Let n = w + 291. Let f = n + -272. Is f a composite number?
False
Suppose -12*y + 30 = -6*y. Suppose 5*n + 327 = r, 0 = -2*r - y*n + 795 - 171. Is r a composite number?
False
Suppose 3*s = -10 + 1. Let h(g) = -102*g + 1. Is h(s) prime?
True
Let b(g) = -2*g + 1. Suppose 0*z - 3*z = 0. Let v be b(z). Let u(d) = 92*d**2 - 1. Is u(v) a prime number?
False
Let a = 118 + -114. Is a + (20100/16 - (-9)/12) a composite number?
True
Let t(g) = -20*g - 2. Let n be t(-1). Suppose -4*b + 498 = -n. Suppose -5*y - i + 373 = 0, -4*y + 155 = -4*i - b. Is y a prime number?
False
Suppose -35*k + 34*k + 12085 = 0. Is k a composite number?
True
Suppose 0 = a - 2*o + 5, 2 = 2*a + 2*o - 3*o. Let y = -439 + 794. Is (a + y)*(-1)/(-2) a composite number?
False
Let t = -7466 - -12759. Is t a prime number?
False
Let i = -9 + 11. Is 12813*((-16)/(-12) - (i - 1)) prime?
True
Suppose 5*j = 3*l - 408, -3*l = -4*l - 5*j + 156. Is l a composite number?
True
Let q be -7 + 13 + (-4)/2. Suppose 5*a = -2*z + 422, -q*a - z = 3*z - 340. Suppose 3*s - a - 81 = 0. Is s a prime number?
False
Is 62606*(0 - -1 - (-1)/(-2)) a prime number?
False
Let n(o) = -o**3 + 12*o**2 - 18*o + 89. Let f be n(11). Let j(h) = -11*h + 29. Let w(r) = 6*r - 15. Let k(z) = 2*j(z) + 5*w(z). Is k(f) a prime number?
True
Suppose f = 2*f - 96. Let q = 173 - f. Is q prime?
False
Is 93169/7 + 102/(-119) prime?
True
Is -4 + (43*(4 + 99) - 4) prime?
True
Let c be (-1)/(4 - (-10788)/(-2696)). Is c - (-3 - (36/(-3))/3) prime?
True
Let q = -8941 + 12696. Is q a composite number?
True
Let z(q) = -q - 2. Let o be z(-2). Suppose 8*g - 10*g + 526 = o. Is g prime?
True
Let h = 250 + -63. Let c = h - 393. Is 2*(0 + c/(-4)) prime?
True
Is (78 + -2)*2051/84*3 a prime number?
False
Let s(u) be the second derivative of -u**3/6 + 4*u**2 - 14*u. Let x be s(4). Let l(p) = 27*p + 3. Is l(x) a prime number?
False
Suppose b = 5*b - 12. Suppose -5*f - 5 = 0, -j = -b*j + 4*f + 12. Suppose -j*n + 65 = -11. Is n composite?
False
Let n be (67 + -5)*2/4*-1. Let r = n - -110. Is r composite?
False
Let w(m) = -m**3 - 12*m**2 - 6*m - 1. Suppose 3*r = -t + 9, -2*t + 0*t