rue
Let b = -33122 + 53853. Is b a composite number?
False
Let v = 2073 + 178. Is v prime?
True
Let i be 42/(-24) + 2/(-8). Suppose -21*u + 9*u + 4464 = 0. Is ((-1)/i)/(6/u) a prime number?
True
Suppose r + x = 10, -5*x = 3*r - 17 - 5. Let m be (-8)/r*(-7)/2. Suppose m*n - 231 = 179. Is n composite?
True
Suppose 0*k - 3*k = -15. Suppose -4*w + 20 = m + 3, k*w - 5*m + 10 = 0. Suppose 5*v - 88 = -2*q + w*v, 2*v + 146 = 4*q. Is q composite?
True
Let j(x) be the third derivative of x**4/8 + 17*x**3/6 + 9*x**2. Let d be j(-5). Suppose 72 + 146 = 2*c + d*g, c = 2*g + 115. Is c composite?
True
Let v(d) be the first derivative of -d**4/4 - d**3 - d**2/2 - 9. Let a be v(-2). Is a/10 - 16056/(-30) a prime number?
False
Let w = -27466 - -61149. Is w a prime number?
False
Let f(v) be the third derivative of v**6/120 - v**5/30 - v**4/3 - 2*v**3/3 + v**2. Let o be f(6). Is (o/(-6))/(18/(-189)) a composite number?
True
Suppose -5*p + 2*q - 204 = 0, 5*p + 3*q = q - 216. Is (-16856)/p + (-1)/3 composite?
False
Suppose -2*d + 4*h = -34, h = 2*d - 2*h - 35. Let b = d + -19. Suppose 2*s - 3*s + 31 = b. Is s composite?
False
Let l(m) = 3*m**3 + 6*m**2 - 28*m + 14. Is l(13) a composite number?
True
Let q(y) = 12*y**2 - y + 6. Is q(5) composite?
True
Suppose 5 = u - 0. Suppose -r - 4*o = -4*r + 299, 3*o + 491 = u*r. Is r prime?
True
Suppose 0 = -6*r + 9*r - z - 2997, -2*z = 3*r - 2988. Is r a prime number?
False
Suppose 0 = 13*f - 10*f - 237. Is f prime?
True
Suppose -25*r + 1115 = -24*r. Is r composite?
True
Suppose 5*o + 48 - 538 = 0. Let w = 125 + o. Is w a prime number?
True
Let v = -5 - -8. Suppose 0 = -v*y + 2*d + 2663, -2*d + 3*d - 1773 = -2*y. Is y prime?
True
Suppose -7*q = -4*q - 3*n - 873, -q = -5*n - 283. Is q prime?
True
Let i = 1764 - -7415. Is i a composite number?
True
Suppose -4*g = -5*i + 281961, -2*i + 5*g + 42668 + 70113 = 0. Is i a composite number?
False
Suppose -r = -4*v + 1664 - 10789, 8 = -2*v. Is r composite?
False
Let t(w) = -5*w**3 + 4*w**2 + 71*w + 13. Is t(-10) composite?
False
Let w be 281 - ((1 - 4) + -1). Suppose 2*p - 1535 = f + w, 0 = 5*p - 5*f - 4545. Is p a composite number?
False
Suppose -5*u + 5 = 0, 2*p + 2*u - 56 = -p. Let v = p + -18. Is v + (-4)/(-4)*209 a prime number?
False
Let h be (2 - 5)/(-2 - -3). Let t be -109*-3*(-1)/h. Suppose -j + t = -210. Is j a prime number?
False
Suppose 100*i + 9498 = 103*i. Is i a composite number?
True
Is 27271/(-4 - -9 - 4) a prime number?
True
Let t(d) = 9*d - 40. Let j be t(16). Let a = 97 + j. Is a a composite number?
True
Suppose 3*v = -3*y + 21, -4*v + 2*y + 13 = 3. Suppose -v*s + 19 = -1. Suppose -364 = 2*g - 5*g + s*b, -3*g + 2*b = -367. Is g a composite number?
True
Suppose 111 + 857 = -4*b. Let t = 61 - b. Is t a composite number?
True
Suppose -h - x = -10133, -4*h - 50657 = -9*h - 3*x. Is h a prime number?
False
Let l(z) = 812*z + 3. Let d be l(1). Suppose d = m + 24. Is m a prime number?
False
Let r(g) be the second derivative of g**7/420 + g**6/45 - g**5/20 - g**4/24 - g**3/6 + 4*g. Let h(c) be the second derivative of r(c). Is h(5) prime?
True
Suppose -3*m - 45 = -3*r - 2*m, -m = -2*r + 30. Suppose -l + 4*l - r = 0. Is (758/l)/(16/40) a composite number?
False
Let v(t) = -390*t - 19. Let n = 20 + -26. Is v(n) prime?
False
Let g be 4/(-6)*(-60)/8. Let u(q) = 10*q**2 - q + 5. Let k be u(5). Suppose 0*s = -5*s + 25, g*f - s - k = 0. Is f a prime number?
False
Let r = 414 - 278. Suppose 138*k - r*k - 1814 = 0. Is k a prime number?
True
Let m = 755 - 516. Is m prime?
True
Let n(t) = -7*t**3 + 29*t**2 - 14*t - 15. Let g(u) = -4*u**3 + 15*u**2 - 7*u - 8. Suppose 0*j + 3*j + 15 = 0. Let l(h) = j*g(h) + 3*n(h). Is l(7) composite?
False
Let o be (510/(-9))/((-1)/6). Let i be o/4 - (2 - -1). Suppose n + 0*n = i. Is n a prime number?
False
Let i = 129 - -695. Suppose -9*h + 89 = 1736. Let j = h + i. Is j a prime number?
True
Let m(n) = 1 + 33*n**3 + 3*n + 5*n**2 - 12*n - 32*n**3. Is m(8) prime?
True
Let n(l) = -18*l - 2. Let f be n(-1). Suppose f = 2*g + 2*g. Suppose 0 = u - 5*m - 5 - 63, -2*m - g = 0. Is u a composite number?
True
Let x = -5908 + 20105. Is x a prime number?
True
Let c be (-1)/((-3)/3) - -3. Suppose -c*m = -5*v - 37, -4*m = -4*v - 9 - 23. Let n(q) = -q**2 - 6*q + 4. Is n(v) a composite number?
True
Let f(q) = 95*q**2 - q + 1. Suppose 2*i - 8 = -4*x, 2*i + 2*i + 2*x - 10 = 0. Is f(i) a prime number?
True
Let h(q) = 11*q - 5. Let n be h(4). Let c be (-12)/(-36) - 1/3. Let g = n - c. Is g a prime number?
False
Let i = -12261 + 21187. Is i a composite number?
True
Let n = -13 - -18. Suppose -f + 29 = n*l, 3*l + 7*f = 4*f + 27. Suppose l*x = -4*p + 24, -2*p - 2*x = x - 12. Is p composite?
True
Let t(n) = 11*n**3 + 6*n**3 + 4 + 8*n**2 - 16*n**3 + 4*n. Let v be t(-7). Let d = 158 - v. Is d prime?
False
Let i = 6 + -4. Suppose -4*m = g - 0*g - 1084, -i*g + 271 = m. Is m a prime number?
True
Let t = -4 - 11. Let r = t - -3. Is r/20 - (-1194)/15 a prime number?
True
Suppose 4*f = 5*f - 2. Let i be 2/(f/(-71))*-2. Is i + 2 - (-3 + 5) prime?
False
Suppose 27*t = -8*t + 1827035. Is t prime?
True
Let i be (-8)/20 - 28/5. Let h be 88/(((-28)/i)/(-7)). Let u = h + 277. Is u prime?
False
Suppose -f = -0*f. Suppose f*r = -3*r + 1404. Suppose 847 + r = 5*u. Is u composite?
False
Is 114 - (-6)/36*(4 + 2) composite?
True
Let b be ((-105)/20)/(3/8). Let s(y) = -7*y - 19. Is s(b) a prime number?
True
Suppose -34*j - 4805 = -39*j. Is j a composite number?
True
Suppose 0 = -3*g + 11 - 29. Is ((-1 + -1)/g)/(4/24744) a prime number?
False
Suppose -4*c + 148100 = 6*c. Suppose -11*t + c = -t. Is t a composite number?
False
Suppose 2*g + 4 = -6, 0 = a + 5*g + 13. Let h = -8 + a. Suppose -14 = -4*w - 3*v, w - h*v = -1 - 5. Is w prime?
True
Is 42/(-4)*(-13 - (-783230)/(-30)) a composite number?
True
Suppose 3*a - 4*a + 2 = x, -2*x = -3*a + 26. Let p = a - 7. Is 627 + 1 - (-2 + p) prime?
True
Let g(q) = q**3 + 39 + 31*q - 13*q**2 + 54 - 77. Is g(13) prime?
True
Suppose -r = 2*m + 9, -2*m - 8 + 4 = 2*r. Let p(l) = 14*l**2 + l - 6. Is p(m) prime?
True
Let r be 4720/25 + 2/10. Let h be 2/3*r/18. Let v = 22 - h. Is v a composite number?
True
Suppose 8908 + 14847 = 5*o. Is o composite?
False
Suppose -2*r = -5*r - j + 3, r = 5*j - 15. Suppose d + c = r, c + 6 = 3*c. Is d/6 - (-846)/4 a prime number?
True
Suppose 29*q + 50364 = 248231. Is q prime?
True
Let l(t) = -3*t + 7. Let p be l(3). Let q(k) = -686*k + 7. Is q(p) composite?
True
Suppose -13 = -k + 2*p, -2*p - p - 3 = 4*k. Suppose -2 = 2*t + 3*j, k*t = j + 2*j - 33. Let f = 29 + t. Is f composite?
True
Let d be (-2)/11 + 10470/110. Let o(j) = -j**3 - 3*j**2 + 3*j + 1. Let g be o(-4). Suppose g*t - 2*z - d = -7*z, -4*t - 2*z = -76. Is t prime?
True
Let r(x) = 956*x**3 - x**2. Let u be r(1). Let y be (-4)/(-18) - u/45. Is (y/(-15) + -2)*-115 a prime number?
False
Let f(r) = -979*r + 311. Is f(-8) prime?
False
Let r(a) = -a**3 + 9*a**2 + 12*a - 1. Suppose 0 = f + 2*t - 6, -f - t - 3*t = -2. Is r(f) composite?
False
Let k be 1*2 - (-5 + (-3 - -8)). Let x(z) = 123*z - 9. Is x(k) prime?
False
Suppose -5*q = 3*r - 15407, -15399 = -5*q - 4*r + 3*r. Is q a composite number?
False
Let l(a) = -1773*a - 1747. Is l(-12) prime?
False
Let h(o) = -2439*o**3 - 3*o**2 - 20*o - 39. Is h(-2) a prime number?
True
Let s = -3957 - -9656. Is s a composite number?
True
Let y(g) = 94*g - 41. Let p(m) = 47*m - 21. Let c(l) = -7*p(l) + 3*y(l). Is c(-7) prime?
True
Suppose -b - 1 + 4 = 0. Suppose 0 = -2*h + 3*x + b, -2*x = h - 0*h - 12. Suppose -195 = -h*d + 3*d. Is d a prime number?
False
Let i = 108 + 72. Suppose -2*m + r + i = 0, -3*m + m + 184 = -3*r. Is m a composite number?
False
Let g = 8654 - 2325. Is g a composite number?
False
Suppose 0 = 2*y + 1253 - 10443. Suppose 14785 = 2*t + y. Is t a prime number?
False
Let x = 1132 - 649. Let y be (-10)/(-6) - (-3)/9. Suppose -y*i + x = i. Is i a composite number?
True
Suppose -2*m + 8835 = -5*f + 1563, 4*m - 3*f - 14530 = 0. Is m a prime number?
True
Let n(y) = 3*y + 13. Let t be n(-9). Let c = t - -14. Suppose -3*i - 3*i + 3066 = c. Is i prime?
False
Is -7 + (-2160)/(-12)*(-591)/(-6) a composite number?
True
Suppose 3*b - 1512 = -0*b. Let x = b + 857. Is x composite?
False
Let i = 180 - -2859. Is i prime?
False
Let s = 4530 - -3