rue
Let j(w) = -w**3 + 3*w**2 + 16*w + 14. Let b be j(6). Suppose 2*y + 14 = 4*l, -b*y + 14 = 2*l - 2. Suppose -2 = 5*v - 27, 4*v - 1485 = -l*a. Is a composite?
False
Let a(m) = 119*m + 20. Let h be a(8). Suppose -q - 573 = -4*t + h, 1935 = 5*t - 5*q. Suppose -4*s + p = -762, 3*s = s - 2*p + t. Is s a prime number?
True
Let h = -75900 - -119382. Suppose -4*w + 9*w = -3*i + h, -i - 5*w = -14504. Is i composite?
False
Let k(o) = 6*o**2 + 17*o - 58. Let v be k(11). Let r = 3794 - v. Is r composite?
False
Let u = -8512 + 125859. Is u a prime number?
False
Let m(l) = 53*l - 26. Let c be m(-2). Let k = c + 209. Is k a prime number?
False
Let h be -7*(-4)/42*-18 + 3. Let u(r) = -r**3 + 4*r**2 - r**2 + 10 + 2*r + 9*r**2. Is u(h) a composite number?
False
Suppose 0 = -3*g - 2*w - 83474, -5*g + 3*w - 47269 = 91829. Is (-1 + -1)/(6 + 166944/g) a prime number?
True
Let u(f) = -f**2 - 5*f + 14. Let h be u(-7). Let p = 10926 - 7666. Suppose h = -10*c - 0*c + p. Is c prime?
False
Let m = 957 + -2395. Let n = m - -4008. Suppose n = i + 667. Is i prime?
False
Let f(u) = 267*u**2 - 10*u - 85. Suppose -3*w + 27 = -11*p + 9*p, 5*p + 50 = 4*w. Is f(p) a prime number?
True
Is -14 - (-14 + 13 - 49466) a prime number?
False
Let s(u) = -6*u**3 + 10*u**2 - 23915. Let b(x) = x**3 - 2*x**2 + 4783. Let v(n) = 11*b(n) + 2*s(n). Is v(0) a composite number?
False
Is (2/(-8))/((-16)/652864) prime?
False
Suppose -5*q + y + 5550 = 0, 0 = 3*q + 2*y + 2*y - 3330. Suppose -9*r + q + 906 = 0. Suppose -4*u + 900 = 4*w, -5*u + 2*w + 1335 = r. Is u composite?
False
Let j(x) = 15*x + 1. Let i be 2 + (5 + -2)*(-1)/(-3). Suppose 1 + 44 = i*c. Is j(c) a prime number?
False
Suppose -4*z - r - 371 = 0, -2*r = -3*z - 0*r - 270. Let j = 94 + z. Suppose -12*h = j*h - 13706. Is h a composite number?
True
Let t = 531313 - -485362. Suppose 0 = -15*n + t - 195860. Is n composite?
False
Let k(z) = 483*z + 58493. Is k(0) a composite number?
True
Let r(i) = -2*i**3 - 5*i**2 - 18*i + 10. Let c be r(-7). Suppose 0 = 6*m + c - 2491. Is m a composite number?
True
Suppose 2 = 2*h, 4*z + 3*h - 7821 = 6*h. Let j = z - -3891. Is j composite?
True
Suppose 0 = -j + z + 697807, -j - 3324*z + 697839 = -3329*z. Is j prime?
False
Suppose -13*n + 12928 = -42894. Let z = 7076 - 10093. Let g = z + n. Is g a composite number?
False
Let b(x) = -105*x - 33. Let l be b(18). Is l*(-16)/12 - 5 a composite number?
True
Let u = 171539 - 67792. Is u a composite number?
True
Suppose 26*i - 21*i = -4*q + 41, q - 9 = -i. Suppose -j + 0*a + 10561 = 4*a, -q*a - 21170 = -2*j. Is j a prime number?
False
Let g(f) = 7*f + 381. Let c be g(-47). Suppose -19*p + c*p - 75966 = 0. Is p a prime number?
False
Let h(f) = 2954*f + 1642. Is h(18) composite?
True
Suppose 3*c + 6*r - 3*r - 24 = 0, -3*c = r - 24. Let i(p) = -p**3 + 9*p**2 - 8*p - 8. Let v be i(c). Is 2/((-2)/v + (-986)/4008) composite?
True
Suppose -a - 28 = -5*l + 59, -3*a = 2*l - 28. Suppose -l*g + 27157 = 5346. Is g prime?
True
Let m(w) = 3665*w + 1192. Is m(5) prime?
False
Suppose 0 = 11*o - 7*o, 5*h - 5*o + 6*o - 281255 = 0. Is h composite?
True
Let k(o) = 7039*o**2 - 644*o + 8. Is k(-5) prime?
True
Let a(b) = 3982*b**2 - 43*b - 610. Is a(-11) a prime number?
False
Let b(w) = 5*w**2 - 3*w - 2131. Let s be b(0). Let m = 6116 + s. Is m composite?
True
Let c(u) = -u**3 - 24*u**2 + 13*u. Let k be c(-21). Let p = -961 - k. Is p a prime number?
False
Is 3/(-10) + (-194199977)/(-2690) composite?
True
Let x(d) = 5*d - 1 - 1 - 9*d + 4 - 14*d**3 - 9*d**2 + 13*d**3. Suppose 2*c + 48 = -c. Is x(c) prime?
False
Suppose -5*i - 6179 = -g + 8189, -3*g + 43154 = -5*i. Is g composite?
True
Suppose 4*g - 2*k - 2 = 0, g - 3*k + 25 = 18. Suppose -g*l = -5*v - 96, 0 = -4*l - 28*v + 29*v + 210. Is l a composite number?
False
Let l be (2 - 1)*(-14)/(-35)*-30. Let c(p) = 25*p**2 + 7*p - 11. Is c(l) composite?
True
Let t = -448 - -458. Suppose 0 = -t*g + 6060 + 950. Is g composite?
False
Let r(z) = -z**3 - z**2 + 19*z - 3. Let d be r(-5). Is (4 - 6 - d) + 3810/2 prime?
True
Let i(l) = 6*l**2 + 9. Let s(v) = 3*v**2 + v + 6. Let j(k) = k**2 + 1. Let w(o) = 3*j(o) + s(o). Let q(t) = -3*i(t) + 4*w(t). Is q(6) a prime number?
False
Suppose 12 = -8*g + 10*g. Suppose 8*k + i - 17 = g*k, 3*k - 19 = 5*i. Suppose k*y = 14*y - 714. Is y a composite number?
True
Let c(z) be the second derivative of -z**4 - 2*z**3/3 - z**2 + z. Let o be c(-3). Let h = 17 - o. Is h composite?
True
Suppose -14*m + 10*m + n = -100228, -5*m - 2*n = -125285. Is m a composite number?
False
Let c be 6/4*13494/(-117). Let h = 1776 - c. Is h prime?
True
Suppose 2*m - 9925 = 3*g, -2*g = 5*m - 38307 + 13542. Suppose m = b + 4*d, -5*d = -b - 3*b + 19862. Is b a composite number?
True
Suppose 2*t + 40518 = 3*p, -6*p + 10*p + t = 54024. Let o = p - -2179. Is o composite?
True
Let h be ((-804)/(-30))/((-1)/(-1315)). Suppose -2*l + p = -23499, -7*l = -10*l - 5*p + h. Is l a composite number?
True
Let j(g) = 52*g**2 + 5*g + 4. Suppose -2 = k + 2. Let w be j(k). Suppose -3*r = -2715 - w. Is r prime?
False
Let w be 3 - (-3 + 9 - -1). Let i(r) = -115*r + 45*r - 5 - 633*r. Is i(w) a composite number?
True
Suppose -3*d - 8 = -z, -d + 23 = 2*z - 21. Let k(b) = 49*b - 61. Is k(z) prime?
True
Let g(b) = -b. Let k(y) = 390*y**2 + 6*y - 38. Let z(x) = -5*g(x) + k(x). Is z(5) a composite number?
False
Let b = 59113 - 40601. Is -5*b/(-60) + (-5)/3 prime?
False
Suppose 15*i = 13*i - 4*s + 42, 3*s + 66 = 5*i. Is i/(-25) + 1 - (-157689)/15 composite?
False
Let o(t) = 2*t**3 - 24*t**2 + 21*t + 11. Let q be o(11). Suppose -3*f - c = -10213, 8 + q = 2*c. Is f a composite number?
True
Let g(i) = 14*i**3 + 4*i**2 - 8*i + 5. Let v be (24/(-40))/(2/(-10)). Is g(v) a composite number?
True
Let f = 1 + 5. Suppose -3*v + 72 = 3*c, -18 = 39*v - 40*v + 2*c. Is v/(-33) + 1978/f a prime number?
False
Let b = 135265 - -17842. Is b prime?
True
Let k(y) = 134*y - 31. Let j = -149 - -179. Is k(j) composite?
False
Suppose -4*s + 3*w + 809872 = 0, -6*s - 404946 = -8*s - w. Is s a composite number?
False
Let t be (-1)/(1 - (-9)/(-6)). Let x(o) = o**3 - 17*o**2 - 17*o - 14. Let c be x(18). Suppose -t*l + c*l - 418 = 0. Is l a composite number?
True
Let o be (-564)/(-72) + (2/12 - 1). Suppose 0 = -o*y + 67788 + 21539. Is y a prime number?
False
Let y(t) = 233*t**2 + 83*t + 519. Is y(-8) a prime number?
True
Suppose -12*h = -14 - 58. Suppose 0 = 5*y + h*y - 187. Suppose -y*f + 895 = -12*f. Is f a composite number?
False
Suppose -5*j - 4*g = -391, g + 58 = 2*j - 88. Suppose -j*l + 11557 = -62*l. Is l prime?
False
Let c = -61 - -40. Let g = c - -25. Suppose 0 = -0*x + x - 2*p - g, 2*x - 3*p = 13. Is x a composite number?
True
Let j = -345024 - -496783. Suppose -54*s + 37*s + j = 0. Is s composite?
True
Let i(n) = 0*n - 3 + 2*n - 3*n - 6*n - n**2. Let g be i(-6). Suppose 5*j = -g*l - 0*l + 2055, 2*l - 1233 = -3*j. Is j a composite number?
True
Let z = -43414 + 92031. Is z composite?
True
Let w(k) = 1123*k**3 - k**2 + 94*k - 265. Is w(3) a composite number?
True
Let f = -11911 - -21854. Suppose w = 6*w + 4*i - f, 0 = -3*w + 3*i + 5982. Is w prime?
False
Suppose 0 = -3*v + 6 - 3. Let u be -1*(-3 + v + -3). Suppose -y + u*y = -5*s + 8795, -s - y = -1758. Is s a prime number?
False
Suppose -4*x + 758052 = 5*c, -5*x + 59*c + 947623 = 58*c. Is x composite?
False
Let h(t) = 424*t**2 + 164*t + 3033. Is h(-22) a composite number?
False
Let h = 16 + -25. Let i = h + 6. Is (60/(-4) - (i - -1))*-23 a composite number?
True
Let s = -66 + 68. Suppose -4*k = -2*t - 10862, 2*k - 5411 = -t - 2*t. Suppose -5*h + 2310 = -2*g - 4489, 3*g + k = s*h. Is h prime?
True
Suppose -13*x + 12*x = -7976. Suppose -91*y + 87*y = -x. Is y prime?
False
Let c(p) = -p**3 + 14*p**2 - 10*p + 19. Let u be c(8). Suppose 94865 = -u*d + 328*d. Is d composite?
False
Let q(z) = z**2 + 2*z - 107. Let u be q(9). Is 584023/99 + u/36 prime?
False
Let u(b) be the second derivative of -153*b**5/20 + b**4/12 - 7*b**3/6 - 4*b**2 - 2*b - 2. Is u(-3) a composite number?
False
Let b = -76476 + 389477. Is b a composite number?
True
Suppose 3*x + 12*x - 3390 = 0. Suppose -5*g = 3*r - 7254, -2*r - 5*g + 5067 = x. Is r prime?
False
Let n(a) = 7*a**2 + 180*a + 2848. Is n(-15) prime?
True
Let f(s) = 31*s + 296. Let q(d) = -d - 3. Let k(t) = -f