e
Let p = -375 + 184. Let l = -80 - p. Is l composite?
True
Suppose 0 = 4*g - 5*y + 2691, 5*g + 2110 = 2*y - 1275. Let b = 2156 + g. Is b a composite number?
True
Let u = 0 - -4. Suppose -t + u*z + 45 + 58 = 0, -4*t + 4*z + 352 = 0. Is t composite?
False
Suppose 4*h + 4*j = 496, 0*j + 5*j = -15. Is h prime?
True
Suppose -4*j + 1123 = v - 3128, -v = 3*j - 4256. Is v composite?
False
Let w be (1 - 17)*(-6352)/32. Is (w/(-20))/(4/(-10)) composite?
False
Let k = 429 + -197. Suppose 3*a - 41 = k. Is a prime?
False
Suppose 4*h - 257 = -4*t - t, 3*t + 2*h - 155 = 0. Is t a composite number?
False
Let j(h) = 2*h - 3. Let w be j(4). Suppose -2*n - 13 = 2*t - w*t, -2*n + 2*t - 12 = 0. Let k(i) = -2*i**3 - i - 4. Is k(n) composite?
False
Let r = 12 + -5. Suppose -r*n - 466 = -9*n. Is n prime?
True
Is -1 + -3 - -1 - 8772/(-3) a composite number?
True
Let i(v) = -3 - 3 + 192*v + 0 + 5. Is i(1) a prime number?
True
Suppose -5*j = -4*w + 1063, 3*j = 3 - 0. Is w a prime number?
False
Suppose -614 = 4*c - k, 3*c - 3*k = -0*k - 465. Let u = 506 + c. Is u prime?
True
Let d = -696 + 1981. Is d prime?
False
Suppose -s = -190 - 191. Let p = s - 170. Is p prime?
True
Is (10/15)/((-6)/(-639)) a composite number?
False
Let s be 8/(-28) + (-60)/(-14). Suppose 44 = -s*f + 120. Is f a composite number?
False
Let g(r) = -5*r**3 + r + 1. Let x be g(-1). Suppose -5*y - s = -105, 0 = -10*y + 5*y - x*s + 105. Is y composite?
True
Suppose w - 457 = -90. Is w composite?
False
Let b(z) = -24*z - 2. Let n(s) = 1 + 3 - 2 + 23*s. Let c(l) = 6*b(l) + 5*n(l). Is c(-3) prime?
False
Suppose 0 = -3*u - w + 4, -3 = u + 5*w + 5. Let r(p) = 46*p**2 - 3*p + 1. Is r(u) a prime number?
True
Let x be 14/8 - 2/(-8). Let o be (-18)/x*2/(-6). Let g(a) = 2*a**3 - 2*a**2 - 1. Is g(o) a composite number?
True
Let i(c) = c**3 - 5*c**2 - 2*c + 7. Let p(z) = -z**2 + z + 4. Let j be p(5). Let k = j + 22. Is i(k) a composite number?
False
Let m = -1059 - -2146. Is m a prime number?
True
Let z = -572 - -314. Let l = z - -171. Let j = l - -130. Is j a prime number?
True
Let s(p) = -p + 10. Let l be s(13). Let o(c) = 71*c**2 + 2*c - 2. Is o(l) prime?
True
Let g(l) = l - 5. Let v be g(6). Is v*3 - (-37 - -3) a composite number?
False
Suppose -4*v - 100 = v. Let q be 6/3*18 + -3. Let c = q + v. Is c composite?
False
Let i(o) = -o**2 - 8*o - 6. Let m(s) = s**2 - 7*s - 9. Let y be m(8). Let q be y*7/(14/12). Is i(q) prime?
False
Let m(z) = -3*z**2 + z + 1497. Is m(0) composite?
True
Let w(g) = 49*g + 1. Let p be w(2). Suppose 7*d = 4*d + p. Is d a prime number?
False
Suppose 5*y + 34 = -1. Let g(z) = 11*z**3 + 13*z**2 + 7*z + 9. Let f(a) = 5*a**3 + 7*a**2 + 4*a + 5. Let h(j) = 9*f(j) - 4*g(j). Is h(y) prime?
True
Let n = -120 - -255. Suppose 4*w = x + 291, -2*w + 0*w = 3*x - n. Let j = 107 - w. Is j a composite number?
True
Let b(g) = 24*g**2 - g + 1. Let s be b(1). Suppose 4*h = -3*o - 8, 5 = -3*h + 4*o + s. Suppose -4*d - h = -v - 4, v - 2*d = 3. Is v a prime number?
False
Suppose -q - 6 = g, 3*g = -0*q - 4*q - 19. Is 0 + (-37)/(1/q) prime?
True
Suppose -4*i + 62 = -454. Let k(g) = 2*g + 82. Let b be k(0). Let q = i - b. Is q a prime number?
True
Suppose -5*d + 2*x = 6*x - 2071, 3*x + 2078 = 5*d. Is d composite?
True
Suppose 0 = 3*o + 12, -q + 4*o = 2*q - 376. Suppose 4*z = -44 - q. Is z*1/((-1)/2) composite?
True
Suppose -5*c + 87 = 12. Suppose -q + c = -4*q. Let r(s) = s**3 + 5*s**2 - 7*s + 2. Is r(q) a composite number?
False
Suppose 20 = 2*k - 58. Is k composite?
True
Suppose -2*b - 264 = -3*h + 445, -3*h = -5*b - 706. Is h composite?
True
Let l(v) be the third derivative of 0*v - 17/6*v**4 - 2*v**2 - 1/6*v**3 + 0. Is l(-3) prime?
False
Suppose -5*g + 2843 = -3182. Is g composite?
True
Let j(f) = f**2 + 7*f + 6. Let m be ((-12)/(-14))/((-3)/21). Let g be j(m). Let d(l) = l**2 + 3. Is d(g) composite?
False
Suppose 2*q - 36 = -q. Is 3/q + 129/12 composite?
False
Suppose 7*c + 2*c = 19431. Is c composite?
True
Suppose -4*j = -58 - 2154. Is j composite?
True
Let g be (-46 - 0)*6/(-12). Suppose d - g = -r, -r - 5*d = -3*r + 60. Suppose -4*y = r - 157. Is y a composite number?
True
Suppose 3*q = a + 154 - 60, -3*a = 3. Is q composite?
False
Suppose 0 = 4*d + 5*h - 6120, 2*d - h - 2781 = 293. Is d prime?
False
Let h(g) = -g**3 - 3*g**2 + 3*g - 2. Let d be (-20)/(-6)*12/(-10). Let a be d + (-2 - (-3 + 2)). Is h(a) a composite number?
True
Suppose -1 = -3*h + 2. Is 3*h + 300/6 a composite number?
False
Let q(n) = 1264*n**2 + 6*n + 4. Is q(-1) a composite number?
True
Let z = -321 - -143. Let m = -317 - -198. Let l = m - z. Is l composite?
False
Let d = -499 - -998. Is d a prime number?
True
Let p = 5 + 0. Suppose -206 = p*s - 781. Is s prime?
False
Is 5/4*4 + 480 a composite number?
True
Let q = 352 + -195. Is q a composite number?
False
Let a(n) = -2*n + 3*n + n + 3. Is a(5) a composite number?
False
Let q = -2261 - -4124. Suppose 6*j - 3651 = -4*b + j, 2*b - 5*j = q. Is b prime?
True
Let z(n) = -n**2 - n - 5. Let r be z(9). Let c = 146 + r. Is c a prime number?
False
Let k(w) = -w**3 - 5*w**2 + 10*w + 10. Let b be k(-7). Suppose v - 17 = -3*c, -5 = -c + v + 2. Is c/9 + b/6 composite?
False
Suppose 0 = a + a - 14. Let q(b) = -4*b + 0 - 2 - a*b. Is q(-3) composite?
False
Suppose v + 12 + 4 = 0. Let o = 90 + v. Is o composite?
True
Is ((-4)/(-12))/(((-21)/7659)/(-7)) a composite number?
True
Let l be -3*(4/(-6) - 0). Suppose l*b - 359 = 489. Suppose -3*h - 5*p + b = 0, 0*p = -3*h + 3*p + 432. Is h a prime number?
False
Let p(u) = u**2 - 4*u - 6. Let w be p(-5). Let d = w - 6. Is d a composite number?
True
Let p = 56 + -34. Let o = -8 + p. Is o prime?
False
Let i(k) = k**2 - k + 1. Let n(c) = -7*c**2 + 4*c - 7. Let d(r) = -6*i(r) - n(r). Let u = 1 - 7. Is d(u) composite?
True
Let q = -11 - -48. Is q composite?
False
Suppose 3*z = -z + 12. Suppose 5*m = -3*i - 41, -z*m - 55 = 5*i + 2*m. Let h = 86 - i. Is h prime?
False
Is 4/18 + 13780/117 a composite number?
True
Suppose -3*a - 2*a = -10. Is a/(-5)*(-60)/4 a composite number?
True
Let p(w) = -41*w + 1. Let k be p(3). Suppose -244 = -3*a + 389. Let g = a + k. Is g a composite number?
False
Let m be (-16)/(-4) + 369/3. Let d = m + -68. Is d a prime number?
True
Suppose -26*v + 24*v = -1402. Is v prime?
True
Let u be 6/15 + 26/10. Let t = 6 - u. Suppose 0 = -o - t*o + 12. Is o a prime number?
True
Let v(h) = h - 6. Let q be v(4). Let t be (0 - -2)*q/(-4). Is t + -1 - 1 - -36 composite?
True
Let r = -37 - -130. Let z = -56 + r. Is z composite?
False
Suppose 5*u - 4*c = 3316 - 1401, -3*u + 5*c + 1162 = 0. Is u a composite number?
False
Let r(b) = 2*b**2 + 5. Let z be 4 + -4*1/(-2). Is r(z) prime?
False
Let x = 5 + -2. Suppose j + 4*i = 15, j = -2*j - 2*i + 45. Suppose 4*b - u - 127 = 0, -x*u - j = 2*u. Is b composite?
False
Suppose -2225 = -u - b - 3*b, 2*u - 3*b - 4439 = 0. Is u prime?
True
Suppose 2215 = s + 26. Is s prime?
False
Let q be (0 - -2)*(-2)/(-4). Let y be (0/(-2) + 1)*q. Is (-22)/4*(-10)/y a prime number?
False
Let a = 9 + -5. Suppose 3*g - 2*g = -3*y - a, -2*y = 2*g + 8. Suppose y = 2*h - 151 - 319. Is h composite?
True
Let s = 233 - 140. Let x = s - -38. Is x composite?
False
Let y(a) = 33*a**3 - 2*a**2 - 6*a - 2. Is y(3) prime?
True
Let x = -1851 - -2642. Is x a composite number?
True
Let r be (-5)/20 + 346/8. Let g = r + -6. Is g prime?
True
Let m(h) = 4*h**2 + 7*h + 1. Let v be m(-5). Let a(t) = t**3 - 7*t**2 - 2. Let z be a(7). Is 0 - v/(-5 - z) prime?
False
Suppose h + 2*h - 2808 = 0. Let p be h/15 + 2/(-5). Let y = p + -25. Is y a prime number?
True
Let l = -2 - -261. Is l composite?
True
Let o be 13/5 - 4/(-10). Let v be 2 + (-2 + o)/1. Suppose 4*c - 79 = v*i, 36 = 3*c + 2*i - 19. Is c a composite number?
False
Let b be ((-36)/30)/((-2)/10). Suppose b*g - 185 = g. Suppose -g = -4*l + 111. Is l composite?
False
Let n = 2647 - 1664. Is n a composite number?
False
Let v(m) be the second derivative of m**4/12 + m**3/6 - m**2/2 - m. Let h(x) = 4*x + 4. Let z be h(-3). Is v(z) prime?
False
Let i = -1 - 8. Let l be i/(-2)*(-12)/(-9). Suppose l*q - 2*q = 136. Is q a prime number?
False
Suppose 55 = -v - m, 0*v + 271 = -5*v - 3*m. Let t = v - -75. Is t a prime number?
False
Suppose 0 = 4*r - 5*j + 783, -5*r + 0*j = 3*j + 951. Let d = -109 - r. Is d pri