se -9*q = -3*t - 1223373, -q + 3*t = 2*t - 135933. Is q a prime number?
True
Suppose 0 = 5*u - 25. Suppose 5*q + 158 = 3*t, 9*t = 6*t - u*q + 118. Suppose 47*w = t*w + 2183. Is w a composite number?
True
Let f = 47 - 34. Let d(i) = -i**2 - i + 42. Let t be d(6). Suppose t = f*b - 18*b + 1265. Is b a composite number?
True
Let n(d) = 2*d**3 + 2 - 26*d - 9*d**2 + 57*d**2 + 0*d**3 + 11*d**2 - 55. Is n(-24) a composite number?
False
Let i be (72/(-90))/(2/(-5)). Suppose -p = -5*w + 2*p + 11677, -3*w + i*p = -7007. Is w prime?
True
Let x(r) = -3*r**3 - 33*r**2 + 32*r - 45. Let o be x(-12). Let t be 19422/8 - 1/(-4). Suppose 3*w = -d + t, -7*d + 4*d + 2430 = o*w. Is w a composite number?
False
Let w(b) = 7*b + 42. Let v be w(-4). Is v + -5 + -3 - -2701 a prime number?
True
Let v(l) = 2*l - 5. Let g be v(5). Let t be -16*(-3)/12 - (4 + -2). Is g + -6 - t - (-512)/2 a composite number?
True
Let u = 135 - 131. Suppose -3*k + 983 = -2*s - 104, -4*k - u*s = -1476. Is k a composite number?
True
Let l(z) = 3744*z**2 - 9*z - 172. Is l(-5) a prime number?
False
Suppose 5*s - 13 = -x + 6, -5*x + 14 = -2*s. Suppose 3*n - u = 55505, -u + 18495 = n - s*u. Is n a composite number?
False
Let d = -15 - -19. Suppose 3*m - 3*r = d*m - 4, 0 = 4*m - r - 16. Suppose -3*f - 14179 = -m*k + 1762, -3*f = 4*k - 15971. Is k a composite number?
False
Suppose 3*z - 4948 - 7385 = 0. Suppose -z = -i - s + 4*s, -16444 = -4*i + s. Is i a prime number?
True
Suppose 3*y - 4*y + 2*d = 0, -4*d = 2*y - 32. Is ((-3)/(-9))/((y/(-4))/(-9822)) prime?
True
Let a(c) = 4*c - 19. Suppose 2*t + 0*t - 12 = 0. Let o be a(t). Suppose -2*m - 1684 = -0*p - 2*p, -o*p + 4198 = -m. Is p composite?
False
Suppose 2*h + 2 = -2*u, -4*h + 21 = -4*u - 15. Let i(r) = 15*r**2 - 6*r + 51. Let p(g) = 7*g**2 - 3*g + 25. Let w(c) = -2*i(c) + 5*p(c). Is w(h) prime?
False
Suppose 0 = -3*z - 2*s + 4, z - 5*s = -s - 8. Suppose z = 5*b - 4*k - 88529, 0 = b - 31*k + 35*k - 17725. Is b a composite number?
True
Let r = -405338 + 582961. Is r composite?
False
Suppose -13 = -5*a + 2*f - 3, 0 = a + 5*f + 25. Suppose 50 = -a*g + 10*g. Let k(q) = 31*q**3 - 13*q**2 + 10*q - 13. Is k(g) a prime number?
False
Let r(u) = u**2 + 24*u + 110. Let v be r(-6). Suppose 0 = -5*n - v*s + 74851, 59882 = 4*n + 25*s - 24*s. Is n composite?
True
Let s(w) = 3864*w**2 + 334*w + 995. Is s(-3) composite?
True
Let d = -24604 + 95205. Is d a composite number?
True
Let w(a) be the second derivative of a**4/12 + 5*a**3/3 + 12*a**2 + 8*a. Let g be w(-6). Suppose -1 = -q - g, 3*q = -p + 1172. Is p a composite number?
True
Let z(g) = 41*g**2 + 245*g - 1007. Is z(4) composite?
True
Is (-599873)/(-25) - (-148)/1850 prime?
False
Let u(x) = 7825*x**2 - 34*x - 65. Is u(-2) composite?
True
Suppose 1028079 = u - 5*f, -4*f + 823188 = 3*u - 2261125. Is u composite?
False
Is -7*((-5649)/49 - -8) a prime number?
True
Let o = -384 + 738. Suppose -10*y + 121 + 1749 = 0. Let k = o - y. Is k composite?
False
Suppose -12915 = 3*z - 135168. Is z composite?
False
Let c = 269 + -267. Suppose 5*n = -m + 4*m + 29483, -c*n + 2*m + 11790 = 0. Is n composite?
True
Suppose 4*v - 11 = k, 2*k - 3*v = -6 + 4. Suppose -k*x + 7221 = -3144. Is x a composite number?
True
Let v be (0 - (27 + 3))*578/4. Let d = -509 - v. Is d a composite number?
True
Let y be (4/8)/(0 - (-2)/20). Suppose 9*q = -4*c + 8*q + 44165, 0 = -y*c + q + 55204. Is c a prime number?
False
Is (-4)/4 - (71551/3 - -5)*-6 prime?
False
Let y be 1 - (-4)/(8/30). Suppose 15*f - 2526 = y*f. Let n = 4081 + f. Is n a prime number?
False
Let a be (-2)/(-11) + (-60)/(-33). Suppose 2*p - 11*w = -10*w + 63259, 5*p = w + 158146. Is (-1)/6 - p/(-36)*a a composite number?
True
Let h(v) = -5*v - 37. Let a be h(0). Let s = a + 26. Let i(p) = -34*p - 1. Is i(s) a prime number?
True
Let j = 33 + -43. Let m(q) = 7*q + 21*q**2 + 10*q**3 + 2*q**3 - 11*q**3 + 1. Is m(j) a composite number?
False
Suppose 76 = 10*h - 164. Let n(s) = 113*s - 109. Is n(h) a prime number?
False
Let y = 9565 + -2793. Suppose 2*d - 5079 = -3*r, -11*r = -15*r - d + y. Is r a composite number?
False
Suppose 0 = -4*f - 291*k + 289*k + 1725758, -1294331 = -3*f - 4*k. Is f a prime number?
False
Let h(i) = 98*i**2 + 2*i - 7. Suppose 0 = -2*v - 3*d + 15, 5*v + 2*d - 3*d = 12. Suppose 0 = -v*x + 7*x + 16. Is h(x) a composite number?
False
Let l(f) = 22012*f**2 - 48*f + 93. Is l(2) prime?
False
Let r(p) = -3*p**3 - p**2 + 8*p - 17. Let s be r(-7). Suppose -671 = -m - 4*l, 3*l + 1872 + s = 4*m. Is m a prime number?
True
Suppose -258*s = -8*s - 281399750. Is s prime?
True
Suppose 4*a = 3*p + 6045718, 2*p + 6748934 + 808224 = 5*a. Is a a composite number?
True
Suppose -333318 = -175*r - 37043. Is r prime?
True
Is (-1183462)/(-2)*(2370/(-70) + 34) a prime number?
True
Let i(u) = -6*u - 37. Let v be i(-6). Let h(t) = 1011*t**2 + 4*t + 2. Is h(v) prime?
True
Let g = 138696 + -98204. Let c = g + -20929. Is c composite?
True
Let l(q) = 1201*q**2 - 86*q - 589. Is l(-18) a prime number?
True
Let x(g) = g + 10. Let f be x(10). Let u = -9 + f. Suppose 12*p - u*p = 3137. Is p composite?
False
Suppose 82*k - 43301894 = -13640116. Is k composite?
True
Suppose 10*a = 37326 + 95434. Let u = a - 2075. Is u prime?
False
Suppose 127 + 98 = -25*s. Let n(i) = -4 - 3 - 22*i + 93*i**2 - 7. Is n(s) composite?
False
Suppose 8*b + 146630 = 18*b. Suppose 13*j = 2*j + b. Suppose 5*h + a + 0*a = 1680, 3*a = -4*h + j. Is h composite?
False
Suppose -3*d - 3*j = 105, -3*j = -4*d + j - 156. Let n be (d + 1)*(1 - 7). Suppose 5*c = -n + 1861. Is c a composite number?
True
Let y(w) = 4*w**2 + 9*w + 8. Suppose -5*h = 4*d - 21, h = -d - 0*h + 4. Let z be y(d). Suppose -11*m + z*m + 9208 = 0. Is m prime?
True
Suppose 2367 = 7*m + 2*m. Suppose -3*s = m + 892. Let r = s - -1152. Is r a prime number?
False
Let g = -30 + 20. Let m = g + 13. Suppose m*q + 3*w + 460 = 8*q, 0 = 2*q - 4*w - 198. Is q a composite number?
False
Suppose -601 = -14*c - 83. Suppose -c = y - 44. Is y prime?
True
Let g(f) = -2*f**2 - 11*f + 6. Let h be g(-6). Suppose -i - 6*n = -2*n, h = -4*i - 5*n + 22. Suppose -i = 2*r - 4*r, -5*y + 3847 = 3*r. Is y a prime number?
False
Is (68069/(-4))/((-8)/32) a composite number?
True
Let x(s) = -3409*s - 4435. Is x(-21) a composite number?
True
Let d be 17/(-85) - (-60062)/10. Let v = d - -3955. Is v a prime number?
False
Let i = -11 + -16. Let p be 0 + (i - -1)/(5/(-10)). Is (-13)/p + 1957/4 a prime number?
False
Let n(g) = -1024*g - 7. Let k be n(-6). Suppose -3*z + 2129 = q + 93, q - z - 2012 = 0. Suppose -k - q = -5*y. Is y a prime number?
False
Let q(w) = 262*w**2 + 15*w - 33. Let i be q(17). Suppose 26*c - i = 234994. Is c a composite number?
False
Let d(r) = -r**2 + 20*r - 9. Let c be d(19). Suppose c = 4*h + 10. Suppose -4*y - 2470 + 6946 = h. Is y prime?
False
Suppose 1158569 - 176477 = 12*d. Is d a prime number?
False
Let h be -8 + (3 - -7) + 2. Suppose h*r - 22463 = -f, 0*r - 11227 = -2*r + f. Is r a prime number?
False
Suppose -2*d + 2 = -8. Suppose 4*k - j = 162065, -d*j = 3*k + 2*k - 202600. Is k composite?
True
Let q be 5/3 - (-34)/(-51). Let l(b) = 123*b + 4. Is l(q) composite?
False
Let z be 14/63*-1*-9. Suppose -m = -z*m - 4*h + 1339, 4*m + 2*h - 5370 = 0. Is m prime?
False
Let r(u) = 80*u**2 + 9*u + 16. Let g be r(7). Let j = g + 292. Is j a prime number?
False
Let f(x) = 78*x**2 + 2*x - 7. Let c = -39 - -41. Suppose -2*s = w - 10, 0 = -w - c*w + 12. Is f(s) a prime number?
True
Let c be -30254*(-2)/6 - (-660)/(-990). Suppose 5*j - j = 4. Is j*((-18)/(-12))/(6/c) prime?
True
Let q = 4305 - 104. Is q*(7 + -10 + 4) a composite number?
False
Let d(l) = -6 - 599*l + 10 + 30 + 1708*l. Let n be d(-4). Is (32/48)/(n/(-4398) + -1) prime?
True
Is -18 + (-364 + -15)*-1745 a prime number?
False
Let j(a) = -3*a**3 + 3*a**2 + 53*a - 26. Is j(-19) composite?
False
Suppose -4*z - 8 - 4 = 0, 3*z - 71 = -4*t. Suppose -5*c - 7*p + 33 = -5*p, 5*p = t. Suppose 0 = -4*h + c*s + 526, 4*s + 0*s = 2*h - 266. Is h a prime number?
False
Let l(m) = -20*m**3 - m**2 - 3*m - 2. Let i be l(-1). Suppose 21*u - 677 = i*u. Is u a composite number?
False
Suppose 198800 = 4*x - 2*c, -4*c - 248497 = x - 6*x. Is (-2)/(-7) - (-4 - x/21) prime?
True
Let z(y) = -549985*y + 1077. Is z(-2) a prime number?
False
Is (180/(-