
True
Let i(k) = -k**2 + 9*k - 3. Let o(p) = p + 1. Let m(d) = i(d) + o(d). Let y be m(8). Is (-155 + -4)*y/(-6) prime?
False
Suppose 4*j = -3 - 5. Let p be 2 - (0 + j + 2). Is (0 + -2)*(-89)/p a prime number?
True
Let v = 98369 + -49212. Is v composite?
False
Let w = -264 - -269. Suppose -3*y = 5*n - 27, 0 = -4*y - y + n + 17. Suppose -w*c + d + 286 = 0, -d + 3 = -y*d. Is c a composite number?
True
Suppose 0 = -r + 5*w - 10, r + 9 = -2*w + 6*w. Let l(u) = -35225*u**2 - 4*u**3 + 35222*u**2 + 5 + 3*u**3 + 6*u. Is l(r) prime?
False
Let r(v) = -v + 2. Let p be r(-2). Suppose p = -4*d, -17 = 2*g - 3*d - 0*d. Let f(b) = -100*b - 21. Is f(g) prime?
False
Let b be 0 - 2 - (2 + -15 + 6). Suppose -6*i = -3*i - 12, -b*i + 3167 = 3*j. Is j prime?
True
Let k(n) be the first derivative of 5*n**2/2 + 12. Let w be k(-2). Is (-14)/70 - 432/w a composite number?
False
Let g = 26 + -13. Suppose 2314 = -g*f + 15*f. Is f a composite number?
True
Suppose 0 = 5*t + 4*r - 9*r - 12300, -2*t + 4917 = r. Is t a prime number?
True
Suppose -9 = d - 239. Suppose 0 = -5*p + d + 45. Is p a prime number?
False
Let f(t) = 68*t**2 + t + 2. Let z be f(-1). Let g = 260 - z. Is g composite?
False
Let r(b) = -b**2 + 2*b + 24. Let v be r(6). Suppose -3*x - 3*l + 768 = -v*l, 2*x - 5*l - 533 = 0. Is x a composite number?
True
Suppose -303 = -h - 113. Let w = 21 + h. Is w prime?
True
Let b = 691 + -355. Suppose b + 86 = 2*k. Is k a composite number?
False
Suppose -6 = -t - 2. Suppose -32 = -k + t*l + 491, -2*l + 1499 = 3*k. Is k prime?
True
Suppose 9*b - 12552 = 5*b. Let k = b + -1421. Is k composite?
True
Let y(f) = -f**3 + 14*f**2 + 9*f - 17. Let j = 6 - -6. Is y(j) prime?
True
Suppose -3*y = -307 - 344. Let i = y - 548. Let b = i + 776. Is b composite?
True
Let l be 2742/8 + (-18)/24. Suppose -2*c + 130 = -l. Is 1/(-3) - c/(-6) composite?
True
Let z be (395/2)/(1/6) - 1. Suppose 19 = 3*i - z. Is i prime?
True
Suppose 3*o = -3*h + 5*h + 135433, -5*o = 3*h - 225709. Is o composite?
True
Let b(a) = 305*a + 255. Let h(v) = -18*v - 15. Let f be -2*((-105)/(-6))/1. Let g(x) = f*h(x) - 2*b(x). Is g(19) composite?
True
Suppose -4*h = -2*j + 14182, 3*j - 8*j + 35455 = -5*h. Is j a prime number?
False
Let l(s) = 61*s**2 - 4*s - 119. Is l(22) a prime number?
False
Suppose 37*a - 189 - 1402 = 0. Is a prime?
True
Suppose 477963 = 77*c - 68*c. Is c a prime number?
False
Suppose 6*s - 6955 = 4451. Is s composite?
False
Let k = -39 - -33. Is 175 - (-3 - k - 7) a composite number?
False
Let o(q) = -2*q. Let x be o(12). Let k be 16/x - (-719)/3. Suppose 3*w - 2*w = k. Is w composite?
False
Let j = -25757 - -47494. Is j prime?
True
Let u(c) = 9772*c**2 + c + 2. Is u(-1) a composite number?
True
Let w = 4263 - 2060. Is w prime?
True
Let i = -1 - 2. Let v(d) = -4*d**3 + d**2 - d + 3. Let h be v(i). Let m = 4 + h. Is m a composite number?
False
Is (-54130)/(-20) + (-3)/(-6)*-3 a prime number?
False
Suppose -12*n + 1210 = -10298. Is n a composite number?
True
Let p be (-6)/(-2) + (2 - 80/8). Is (-7965)/(-21) + p/((-105)/(-6)) a prime number?
True
Suppose 815 - 1078 = -m. Is m composite?
False
Is (4/(-10))/((-44)/6490) a prime number?
True
Suppose -20*b + 36771 + 6809 = 0. Is b composite?
False
Let p(c) = 2*c**2 + 10*c. Let b be p(-5). Suppose 5*l - 6*h + 3898 = -2*h, -l + h - 779 = b. Let a = 1117 + l. Is a composite?
True
Suppose -77871 = -7*o + 12604. Is 3/(-4) + o/44 composite?
False
Let z(t) = -t**3 + 11*t**2 + 2*t - 5. Let f be z(12). Suppose -124 = -i + 88. Let g = i + f. Is g a prime number?
False
Let m(p) = -18*p + 56. Let x be m(-3). Let d(s) = -s**3 - 2*s**2 - s + 7. Let f be d(-6). Let k = f - x. Is k prime?
True
Suppose 4*h = 4*b + 9*h + 15, 3*h = -2*b - 9. Suppose 5*x = 2*c + 2*c, -5*x = b. Suppose -2*d - d + 1869 = c. Is d a composite number?
True
Suppose 0*o - 5*o = u - 4, -20 = 3*o - 5*u. Is (o/(-1) + -379)/(12/(-12)) composite?
False
Let w(t) = 3*t**2 + 3*t - 12. Let k be w(-5). Suppose -k*q = -52*q + 56. Suppose -10*m = -q*m + 892. Is m prime?
True
Let n(x) be the third derivative of x**4/24 - 5*x**3/3 - 6*x**2. Let q be n(8). Is 3/q*(-94)/3 a composite number?
False
Let u(v) = 192*v + 3. Let q be u(6). Suppose 0 = -2*o - 6, 3*i = -i - 3*o + q. Is i composite?
True
Suppose 2*a + 12*z - 10*z = 3940, 2*z = -a + 1967. Is a prime?
True
Suppose 3*k + 2 + 1 = 0. Is k/(328/332 + -1) a composite number?
False
Is (252 - -107)*(2 + 17 - 2) a composite number?
True
Suppose 3*k - 564 = -9*k. Let z = -3 + 44. Suppose 3*r - r - c = z, 2*r = -5*c + k. Is r a prime number?
False
Let f(b) = -b**2 + 10*b - 7. Let o be f(9). Suppose o*n = 6*n - 48. Is 4/(-6) + 476/n a composite number?
True
Let y be (1 + -1)*-1 + 0. Let i(x) = -908*x + 7. Let w be i(-2). Suppose 4*s - w - 1173 = y. Is s a prime number?
False
Let q(b) be the third derivative of -b**5/60 + b**4/24 + 157*b**3/6 + 8*b**2. Is q(0) a composite number?
False
Let t(j) be the second derivative of j**3/6 - 7*j**2/2 + 5*j. Let h be t(0). Let k(c) = -c**2 - 11*c - 6. Is k(h) a composite number?
True
Let r(w) = 55653*w - 74. Is r(1) composite?
False
Suppose -14*i + 68984 = -6*i. Is i composite?
False
Let s = 99064 - 58845. Is s prime?
False
Is (-140)/(-315) + 3/((-81)/(-1684599)) a prime number?
False
Let t = 3 + -7. Let v = t + 9. Suppose -6*g + v*g = -37. Is g a composite number?
False
Is 122/(-915) + 118294/30 composite?
False
Suppose 13*u + 6*u - 12901 = 0. Is u a prime number?
False
Let y = 21 - 27. Let f(m) = m**3 + 6*m**2 - 2*m - 3. Let s be f(y). Suppose -s*k - 236 = -13*k. Is k a composite number?
False
Let f(u) = -264*u - 17. Let a(c) = 529*c + 34. Let j(g) = 4*a(g) + 9*f(g). Is j(-8) composite?
False
Let k(u) = -3*u - 7. Let n be k(-7). Let d = n + -17. Let v(z) = -45*z - 4. Is v(d) a prime number?
True
Suppose -4*q = -1993 + 57. Suppose 0 = 10*k - 11326 - q. Is k a prime number?
True
Suppose 32 = 12*g - 4. Suppose 2*l + 4*f - 2807 = l, -g*f = l - 2810. Is l a prime number?
True
Suppose 2954 = -15*v + 21899. Is v composite?
True
Let t(j) = 10*j**3 + 5*j**2 + 14*j - 12. Is t(7) composite?
False
Suppose c + 23 = d + 223, -2*d - 602 = -3*c. Is c a composite number?
True
Suppose 0 = -2*u + 29 - 35, 3*n - 7119 = 2*u. Is n composite?
False
Suppose 27 = 5*w - 4*j, 2*w - 6 = -j - 3. Suppose h + 2*a = 717, -h + w*a = -0*a - 722. Is h a prime number?
True
Suppose 540 = -i - 5*t, -6*t + 2*t = -4*i - 2136. Let s = 1398 + i. Is s a prime number?
True
Let c = 100 + -165. Let s = -219 - c. Let u = 72 - s. Is u composite?
True
Let k(r) = -3*r - 27. Let c be k(-12). Let d = 13 - c. Suppose 4495 = d*o + 1451. Is o a composite number?
False
Let d(q) = q**2 - q + 3. Let v be d(0). Suppose 12 = v*k, 4*r + 5*k - 2455 = 1737. Is r a prime number?
False
Suppose 4*b - 15671 = -2*c - 4405, -3*c - 2*b = -16911. Is c composite?
False
Let v be ((-21)/(-6))/(3/(-6)). Let h(p) = -p + 15. Let k be h(v). Suppose -u = -15 - k. Is u prime?
True
Let w(r) = 2*r + 11. Let v be w(-8). Let t(m) = m**3 + 6*m**2 + 6*m + 3. Let z be t(v). Is (16 - 17)/(z/254) a composite number?
False
Let r = 75 + -71. Suppose 0 = 3*w - 2*m - 636, 193 = w - r*m - 9. Is w prime?
False
Let h(k) = -k**3 + 13*k**2 + 4*k - 9. Let a(y) = -y**2 - 10*y + 1. Let s be (9/2)/(7/(-14)). Let j be a(s). Is h(j) composite?
False
Suppose i - 7*f = -6*f + 3682, -11054 = -3*i - 5*f. Is i prime?
False
Is 533484/16 - 1/(-4) composite?
False
Let i(c) = -5*c - 3*c + 0 - 2 + 4*c + c**2. Suppose -2*j + 13 = u, -44 + 3 = -5*u - 4*j. Is i(u) prime?
True
Let g(v) = -1866*v - 1. Let s = 48 - 49. Is g(s) prime?
False
Let i be ((-6)/9)/((-2)/9). Let j(o) = 8*o**2 - 3*o - 2. Let q be j(i). Suppose 3*r = 5*f + 24, 0*f = 4*r + 3*f - q. Is r prime?
True
Suppose 7115 = 10*s - 14455. Is s prime?
False
Suppose 11*g = -2*h + 8*g + 9572, 3*h - 2*g - 14371 = 0. Is h a composite number?
False
Suppose -43*y + 184452 = -53983. Is y a composite number?
True
Is ((-9649)/3)/(5/(-15)) composite?
False
Suppose 0 = z - 3*z - 16. Let m(d) = -d**3 - 7*d**2 + 7*d - 4. Let y be m(z). Suppose -y*n + 159 = -277. Is n composite?
False
Suppose -3*w - 4*v - 25 = 0, -w + 2*v - 26 = 3*w. Let x be (-2)/(w/((-308)/(-8))). Suppose -5*z + x = -104. Is z a prime number?
True
Suppose 24*w = 16601 + 108847. Is w a composite number?
False
Is (-1410)/(-4)*28/42 