number?
False
Let p(q) = -7*q**3 + 3*q - 1. Let b(h) = -h**3 + h. Let v(r) = -5*b(r) + p(r). Let m be v(-1). Is -4*m/(-48) - 15489/(-12) a prime number?
True
Suppose 50668562 - 49827919 + 110608843 = 482*f. Is f composite?
False
Let b = 56 - 50. Suppose 2*q - 3 = h + 5, 5*q - b = -h. Suppose -r - 600 = -5*y - q*r, 3*y - 3*r = 378. Is y prime?
False
Let v(b) be the third derivative of 38*b**2 + 0 + 1/6*b**3 - 75/8*b**4 + 0*b. Is v(-4) a composite number?
True
Let o(k) = -6*k**2 + 4*k - 44. Let b be o(-13). Let y = -701 - b. Is y a composite number?
False
Let t = 184 + -178. Suppose 5500 = 5*m - 3*u, t*m - u = 5*m + 1098. Is m a composite number?
False
Let f = 4876 - -942. Is f prime?
False
Let u(i) be the second derivative of 11*i**5/10 + i**4/3 + i**3/2 + 13*i**2 - 78*i. Is u(7) a prime number?
True
Suppose 4*s + g = 127830, 95873 = 3*s + 204*g - 203*g. Is s a prime number?
True
Let v(a) = -356*a - 231 + 182 + 112. Is v(-8) a composite number?
True
Let a = 52174 - -35209. Is a a composite number?
False
Is ((-385)/66)/(-35)*124842 a prime number?
True
Suppose 55*n - 57*n = -10. Suppose 0 = -4*b + n*s, -b - 3*s - 2*s = -25. Is (2/(-4))/((-113826)/22764 + b) composite?
True
Suppose 93*r - 2331564 = 2481093. Is r prime?
True
Let c = 6644 + 15375. Is c a composite number?
True
Suppose -2*t = -4*c + 4710, 0 = -3*c + 2*t - 0*t + 3534. Let d = c - 503. Is d prime?
True
Let t(p) = -p**3 + 20*p**2 - 3*p + 23. Let k(h) = 5*h**3 - 80*h**2 + 11*h - 91. Let n(g) = -2*k(g) - 9*t(g). Is n(-24) prime?
False
Is (1667697/67)/(1 - -2) a prime number?
True
Suppose 9*g - 12*g = 2*t + 1996, 0 = 3*g - 4*t + 1966. Let d = 2349 + g. Is d a composite number?
True
Let g(w) = -w**2 + 2*w + 46. Let s be g(-6). Let u(y) = -426*y**3 + 7*y**2 + y - 1. Is u(s) a prime number?
True
Suppose 210921 = 104*v - 93*v - 1162748. Is v a composite number?
True
Suppose -12 = -m - 15, 0 = -5*h + 4*m + 2872. Suppose 0 = -18*w + 133474 + h. Is w composite?
True
Suppose 2*d + 9 = -3*i + 23, -i = -3*d + 10. Let t = 3 + i. Suppose -w - 5*f = -602, -2*f + 1001 + 1940 = t*w. Is w a composite number?
False
Let j = 59522 + -3. Is j a composite number?
True
Let r be 9/(-12) + 105/(-20). Let z be (-4826)/r + (-12)/(-18). Suppose -35*y + 40*y = z. Is y a composite number?
True
Suppose 2*a - 1324348 = -2*l, -9*l = -4*a - 7*l + 2648726. Is a a composite number?
True
Let m be 126/98 - 2/7 - -3. Suppose m*u + 5743 = 5*c, 2*u - 4610 = 2*c - 6*c. Is c a prime number?
True
Let q(r) = r**2 + 5*r - 171. Let p be q(-14). Is 30949*30/p*3/(-2) prime?
True
Let m(i) = 245*i - 38. Let c be m(10). Is 1 - (2 - (c - 0)) composite?
False
Let g = -2025 - -1372. Let s be (-4)/(-4) - 2 - 111. Let p = s - g. Is p prime?
True
Let v = 11 - 24. Let q be (v/((-26)/(-60)))/((-4)/58). Suppose q + 10 = 5*o. Is o prime?
True
Suppose 2850*f = 2851*f + 6, 0 = -j - 3*f + 52729. Is j a composite number?
False
Suppose 925725 = 552*z - 527*z. Is z prime?
False
Let k = 952435 + -425858. Is k a composite number?
True
Let g(z) = 4727*z**2 + 192*z - 13. Is g(-5) a composite number?
True
Suppose -4*b + 3916 = 4*a + a, 0 = -4*b + 3*a + 3884. Let i(m) = m**2 + 10*m - 5. Let h be i(-11). Suppose b = h*j - 1036. Is j composite?
True
Suppose -5*x + 5*c = 0, -7*c + 10*c = 4*x + 1. Let u be (3/(-4))/(x/11708). Suppose 34*q - u = 31*q. Is q prime?
True
Let c be (16/10)/(0 - 2/(-30)). Let y = c + -23. Is (263 - y)*8/16 prime?
True
Let q = -3114 - -3551. Is q a composite number?
True
Suppose 0 = 4*o - 4*g - 270212, o - 11828 = -2*g + 55743. Is o prime?
True
Suppose 0 = 5*n + f + 4*f, -3*f = -5*n. Suppose -4*p + n*p = 2*m - 358, 3*m = p + 530. Is m a prime number?
False
Let c(v) = -8*v**3 - 8*v**2 + 6*v + 2. Let b be c(5). Let k(i) = -1027*i. Let q be k(-1). Let s = q - b. Is s a prime number?
False
Let g(w) = -4*w**2 + 11*w + 8. Suppose t - 4*q = -0*t - 3, 0 = -2*t + q - 13. Let p be g(t). Let l = 198 - p. Is l a composite number?
False
Let j(z) = -14*z**3 - 6*z**2 - 12*z - 46. Let y = -117 - -113. Is j(y) prime?
False
Let q(b) = -b**3 + 11*b**2 - 15*b - 25. Let a be q(9). Let h(i) = 898*i**2 + i - 7. Is h(a) composite?
True
Suppose 4*f + 163535 = 5*a, 4*a - f = -0*a + 130828. Is a a prime number?
True
Suppose -680384 = -4*v - 4*s, -v + 170097 = -5*s + 7*s. Is v composite?
True
Let w = 56 - 53. Suppose 2*x + w*t = -2*x + 755, x = 4*t + 203. Is x composite?
False
Let k(u) = 28292*u**2 - 14*u - 47. Is k(-3) a prime number?
True
Let h(k) = 9*k**2 - 16*k - 81. Let g be h(-16). Let p = 9086 - g. Is p a composite number?
False
Let f(s) = 225*s**2 - 16*s + 13*s - 1 + 6. Is f(3) prime?
False
Let s be 0*(1 - (-24)/(-20)). Suppose -3*v + s*v = -9. Suppose 2*d + 3*g - 2098 = 0, -3*d - v*g + 3948 - 801 = 0. Is d a composite number?
False
Let l(k) be the third derivative of k**5/15 + k**4/3 + k**3/2 + 3*k**2. Let v be l(-5). Suppose p = 2*y + v, 0*p = p - 4*y - 57. Is p prime?
False
Let f = -49 + 32. Let q(x) = 52540*x - 17 - x**2 + 4 - 52575*x. Is q(f) composite?
False
Suppose 205558 = -12*w + 704026. Is w prime?
True
Suppose 9*g + 4757 = -15*g + 305981. Let x be (-2)/(6/10 + -1). Suppose -3546 + g = x*d. Is d a prime number?
True
Suppose 1665 = 3*u + 5*p - 17569, 0 = -u - 4*p + 6416. Suppose -2994 - u = -2*d. Is d a composite number?
True
Suppose 32*k - 14276817 + 1694670 = -127*k. Is k a composite number?
False
Let i = -67 + 107. Suppose -m - i = -2*m. Is 1/(-4) - (-55330)/m a prime number?
False
Let n(y) = 185947*y**2 - 83*y - 85. Is n(-1) a prime number?
False
Suppose 0*q - 3*q + 50505 = 12366. Is q composite?
False
Let d = 593 + -557. Suppose 5*q - 4*w = 37727, d = 2*w + 42. Is q a composite number?
True
Let t(k) = -14021*k + 181. Is t(-18) composite?
False
Suppose -460*l - 8 = -458*l, -l = -k + 514575. Is k a composite number?
False
Suppose -40789 = -d - 3178. Let j = d + -24602. Is j a prime number?
True
Let n(t) = -2 - 3 + 3 - 4 - 2*t. Let a be n(-5). Suppose 0 = -a*y + 1913 - 637. Is y prime?
False
Let y = -117764 - -301401. Is y composite?
False
Let p be (-42)/(-18)*6*(-3)/(-6). Suppose -a + 4 = 4*l - 23, 0 = -l - 3*a - p. Suppose -12*r + 1340 = -l*r. Is r prime?
False
Suppose i + 2 = 0, 48*i = -5*f + 44*i + 367202. Is f a composite number?
True
Let l(n) = 73*n**2 + 8*n - 9. Let a be l(-6). Suppose 4*x = s + 9440 - a, -3445 = -2*x - 3*s. Is x a prime number?
False
Suppose 3*a = 3*k - 561354, -2*k + 25*a + 374233 = 24*a. Is k a composite number?
True
Is (3/(-2))/((-294)/2858268) prime?
False
Suppose 16 = -3*u + 4*z, z = 2*u + 5 - 1. Suppose -3*y + 13550 - 5445 = -b, u = 2*y + 4*b - 5394. Is y composite?
True
Let m be (3088/(-40))/(2/10). Let b = m + 700. Let v = b + -199. Is v prime?
False
Let a(m) = 5*m**3 - 153*m**2 + 213*m - 725. Is a(90) composite?
True
Let j = 17557 - 12056. Is j a composite number?
False
Suppose 4*x - 2*v - 890 = 0, -v - 126 = 3*x - 781. Suppose -3 - x = -r - t, 2*t = 3*r - 669. Is r prime?
True
Let f = 2 + -5. Let x be (f + 4)/((-1)/(-1 - -2)). Let c(b) = 410*b**2 + 1. Is c(x) a prime number?
False
Let p = 200 + -204. Is (6/p)/(12/(-46856)) a prime number?
True
Let x(k) = -31*k**3 - 9*k**2 - 40*k + 13. Is x(-5) prime?
True
Let g(x) = 10*x + 61. Let l be g(-7). Let k(w) = -17*w**3 + 32*w + 8. Is k(l) composite?
False
Suppose 0 = -9*y + 243740 - 74909. Is -10 - y/(-3) - (3 - -1) a prime number?
False
Suppose -4*h = 3*a + 210, -h - 44 = 70*a - 65*a. Let z(i) = -i. Let n be z(4). Is (36/h)/(n/714) composite?
True
Suppose 0 = -2*s - 3264 - 20100. Let h = s - -20987. Suppose -5*l + 9079 = 3*q, -4*l + 5*q = -h + 2027. Is l prime?
False
Suppose 3*d + 4*a - 246391 = 0, -2*d - 5*a - 91246 = -255509. Is d composite?
False
Is 54/99 + (-5862)/(-22) composite?
True
Suppose -4 = g + 2*p - p, 0 = -5*g - 2*p - 14. Is g/(-10) + (-1195824)/(-280) composite?
False
Suppose 0 = -19*m + 1884060 + 2953739. Is m a prime number?
False
Is 15 + 1 + 4 + 41345 a composite number?
True
Let r be (-2)/(-6) + 428/12. Suppose -32 = 2*i - r. Suppose 2*o + 3*o = l - 2581, i*l - o = 5162. Is l composite?
True
Let u(s) = 4*s**3 - 29*s**2 + 38*s + 45. Let p be u(21). Suppose 7*r + 4525 = p. Is r a composite number?
False
Let c(p) = 24*p + 76. Let u be c(-3). Suppose -d - u*h = -17201, 4*d = -4*h + 30399 + 38393. Is d composite?
True
Let v(m) = 20*m**2 + 10*m - 10. 