- 4/22. Is (u/3)/((-3)/(-117)) a prime number?
True
Let a(t) = t**2 + 6*t + 7. Let p be a(-5). Suppose -3 = -z - p*f - f, -6 = -2*f. Is (-447 - -1)/(z - -4) a prime number?
True
Let w(y) = 3*y**3 - 4*y**2 + 2*y - 2. Let i be w(3). Let z = i + -14. Is z composite?
True
Let c(v) be the third derivative of v**5/60 + v**4/6 + v**3/6 - v**2. Let l be c(-5). Suppose -l*z + 74 = -4*z. Is z a composite number?
False
Suppose 3*v - 5*d - 19 = -1, 3*d + 9 = 0. Is (5489/(-55))/(v/(-5)) a composite number?
False
Let z = -318 + 549. Let t = z - 164. Is t a prime number?
True
Suppose f - 1111 = -2*g, -f - 2*f + 3313 = g. Is f composite?
False
Let b(s) be the third derivative of s**5/10 + 7*s**4/24 + 2*s**3/3 + s**2. Let k(l) be the first derivative of b(l). Is k(6) a composite number?
False
Suppose 4*n + 4*a = 524, n = -n - 3*a + 260. Is n a composite number?
True
Let w = 390 - 67. Let u be 1/(((-6)/9)/(-2)). Suppose 2*g - w = -p, -2*p = -u + 1. Is g a composite number?
True
Let w be (-7)/(-28) - 9/4. Is (-5)/w*(-40)/(-4) composite?
True
Let c(f) = 30*f**3 + 4*f**2 - 2*f - 1. Is c(2) prime?
True
Let r = 346 + -147. Let g = r + -102. Is g prime?
True
Let r(q) = -48*q + 9. Let o be r(5). Let j = -128 - o. Is j a prime number?
True
Suppose -4*h - 3*u = -8747, 0*h - h = 4*u - 2177. Is h prime?
False
Let u be (560/(-24))/(2/(-12)). Suppose -5*q = -u - 255. Is q prime?
True
Let q(d) = d**2 + 7*d + 5. Suppose 0 = 3*s + s + 28. Let p be q(s). Is 0 + -2 - (p - 44) a composite number?
False
Let f(p) = p**3 - 3*p**2 + p + 3. Let n be f(3). Suppose m = c - 28, 2*m = n*m - 5*c + 113. Is 3/2*(-450)/m composite?
True
Let w be (-14)/(-3)*57/(-2). Let z = -27 - w. Is z prime?
False
Let d(b) = -b**3 - 3*b**2 + 3*b + 1. Let n be d(-4). Let i = 2 - 1. Suppose -n*g = i - 36. Is g a composite number?
False
Let n = -1 + 1. Let s be 9/21 - (-1968)/14. Suppose 3*u + 30 - s = n. Is u prime?
True
Suppose 0*u = 5*u + 55. Let y = 7 + u. Let i(j) = -j**3 - 4*j**2 - 2*j + 2. Is i(y) prime?
False
Let t(j) = 19 - 5*j + j**2 + 5*j. Is t(0) a composite number?
False
Let q(u) = -9*u**2 - u + 4. Let v be q(-3). Let g = v + 165. Is g a composite number?
True
Suppose -206 = -7*s + 158. Suppose 3*n = -2*n + 20. Suppose -v + j = -s, 0 = n*v - 4*j + j - 203. Is v prime?
True
Let t = -748 + 370. Let h = 683 + t. Is h a prime number?
False
Let t = 7 - 2. Suppose t*v = 0, 4*w - 235 = 4*v - 83. Suppose c = -c + w. Is c prime?
True
Let j(i) = -i. Let c(l) = -13*l. Let r(q) = -c(q) + 6*j(q). Suppose -2*v + 0 - 13 = -3*u, v + 4*u = 21. Is r(v) composite?
False
Let p(k) = 2*k + 23. Let h(t) = -t - 12. Let a(b) = -5*h(b) - 2*p(b). Let n be a(-11). Suppose 13 = d + n*o - 57, 404 = 5*d - 3*o. Is d a composite number?
False
Let h = 217 + -148. Is h composite?
True
Let w(y) = y**3 + 5*y**2 - 6*y + 3. Let o be w(-6). Suppose z = -o*z + 2*j + 258, 0 = 2*j - 10. Is z composite?
False
Let k(f) = 2*f**3 + 7*f**2. Let g be k(-5). Suppose -z - 268 = -3*z. Let l = g + z. Is l a prime number?
True
Is ((-8)/6)/((-4)/174) a prime number?
False
Suppose 0 = x - 3 - 0. Suppose 21 - x = 2*r. Is r a composite number?
True
Let x(p) = -251*p. Is x(-7) a composite number?
True
Let d be (0 - 0)*(-1)/2. Suppose -3*b - r + 492 = d, -b + 0*r + r + 160 = 0. Is b a composite number?
False
Suppose -j + 7 = -0*m - 3*m, -4*j - 5*m = -96. Is j composite?
False
Let u = 121 - -570. Is u a prime number?
True
Let l(i) = 2*i**2 + 0 + i + 9 + 2*i. Is l(8) prime?
False
Let i(f) = 14*f - 15. Let q(r) = 28*r - 31. Let j(v) = -13*i(v) + 6*q(v). Is j(-4) a prime number?
False
Let t = 1182 - 677. Is t a prime number?
False
Let g(d) = -d**3 + 11*d**2 + 4*d - 1. Let y(c) = -3*c**3 + 32*c**2 + 11*c - 2. Suppose -27 = 3*w + 6. Let k(j) = w*g(j) + 4*y(j). Is k(5) a prime number?
True
Let w(p) = p**2 + 7*p - 8. Let q be w(-8). Suppose 2*h - 7 = -3*z + 7, q = h - 2*z. Suppose -3*o + 96 = o + t, 3*o + h*t - 59 = 0. Is o composite?
True
Let j(z) = z**3 - 5*z**2 - 5*z + 7. Suppose 0 = 3*s - 3 - 15. Is j(s) a prime number?
True
Suppose 235 = 5*o - 4*w, -3*o - 141 = -6*o - 2*w. Is o prime?
True
Let b(u) = u**3 - 2*u - 1. Let a be b(2). Suppose -2*l = a*l - 290. Is l a prime number?
False
Suppose 0 = 3*w - 1032 - 189. Is w prime?
False
Suppose -3*q = 2 - 8. Let n(t) = 3*t**2 + 5*t + 2. Let c be n(-3). Suppose q*o = o + c. Is o composite?
True
Let f(n) = -n**3 - 9*n**2 - 3*n + 8. Suppose c - 2 + 0 = 0. Suppose -c*z = -2*a + 2*z - 18, -4*z = 0. Is f(a) a composite number?
True
Let z = 127 + -2. Let r = 316 - z. Is r prime?
True
Let i(y) = -5*y**3 - 4*y**2 + 21*y - 5. Is i(-10) prime?
False
Is -2 + 21 + -2 - -2 prime?
True
Suppose 2*c + 198 = 2156. Is c a composite number?
True
Let u(z) = z**2 + 12*z + 15. Let v be u(-11). Suppose -v*o + 101 + 542 = y, -5*o - 5*y + 800 = 0. Is o a prime number?
False
Let d be (-12)/5 + 8/20. Let x be d/(117/(-111) + 1). Suppose -5*u = o - 3*u - x, 0 = -4*u. Is o composite?
False
Let y be 2/1 - 2 - -2. Let g(r) = 39*r**2 - 1. Is g(y) a composite number?
True
Suppose 2*z = 5*z. Suppose -k + 13 + 6 = z. Is k a composite number?
False
Let i(n) = n**3 - 10*n**2 + 7*n - 2. Let x(l) = -l**3 + 10*l**2 - 8*l + 2. Let w(m) = 2*i(m) + 3*x(m). Is w(7) composite?
False
Let g(z) = -z**3 + 4*z**2 + z - 5. Let t be g(4). Let o be (1*-2)/(t/(-30)). Let r = o + 115. Is r a composite number?
True
Let r be 1 - (1 - -2) - 188. Let n = -93 - r. Is n a composite number?
False
Suppose -4*u = 3*a - 5, 2*a - 1 = -2*u + 1. Let n be (a - 20)*(2 + -4). Let p = -27 + n. Is p composite?
True
Let m = 10 + 21. Is m a prime number?
True
Let o(b) = 40*b - 1. Let v be 1 - 0 - 1*-2. Suppose m + 16 = 4*c - 0*c, -5*c + v = 3*m. Is o(c) a prime number?
False
Let w(i) = 2*i + 2. Let k be w(-3). Let o = k + 35. Is o a prime number?
True
Let y be -1*2/1 - -16. Suppose 0*o + o - 2 = 0. Suppose -o*u - y = -124. Is u prime?
False
Suppose 3*v - 8 = -v. Is ((-8)/(-12))/(v/381) a composite number?
False
Let q = -30 - -42. Is (-4)/(-6) - (-2812)/q a composite number?
True
Let d = 119 - 43. Let h = -151 + 274. Let m = h - d. Is m composite?
False
Suppose -5*p + p + 1712 = 4*f, 2*p + 3*f = 856. Suppose p = 3*a - 2*t, 2*a - 5*t - 174 - 115 = 0. Is a prime?
False
Suppose 0*i = 12*i - 27996. Is i prime?
True
Suppose 4*o - 4 - 12 = 0. Suppose 9*i - o*i = 1070. Is i composite?
True
Let t be 4*10/(-4) + -1. Let y = 23 - t. Is y/6 + 2/6 prime?
False
Suppose 2*q + q = 150. Suppose -2*c = -48 - q. Is c a prime number?
False
Suppose -d + 2516 = 3*d. Is d a prime number?
False
Let q(s) = -s + 13. Let m be q(8). Suppose -m*t - z = 2*z - 4, 5*t + 2 = -z. Is (t - 2) + (154 - 2) a composite number?
False
Let n(r) = 49*r**2 + 4*r + 3. Let h(t) = -3*t**2 - 6*t - 2. Let y be h(-2). Is n(y) composite?
False
Let w = -1553 - -2202. Is w composite?
True
Let y be (4/14)/((-2)/(-14)). Suppose 4*m - 7 = y*a + 7, 5*m = 2*a + 19. Suppose 0 = -a*s + 29 + 28. Is s a prime number?
True
Let k(o) = o**2 + 7*o - 7. Is k(7) a composite number?
True
Let c(h) = h**3 + 20*h**2 - 21*h + 23. Is c(-18) prime?
True
Suppose -2*q + 3*d = 56, 0 = 3*q - q + 3*d + 44. Let v = -32 - -76. Let s = v + q. Is s a composite number?
False
Let y be (-4)/(-10) + (-148)/(-5). Let d be (-1329)/(-21) - (-12)/(-42). Let k = d - y. Is k prime?
False
Let s(q) = q**3 - 4*q**2 - 4*q - 4. Let g be s(5). Let k = 3 - g. Suppose 6 = -k*r, -6 = 3*v - 2*r - 78. Is v a prime number?
False
Let x(k) = 11*k**2 + 2*k - 1. Is x(-4) composite?
False
Suppose 5*f + o = f + 833, o - 415 = -2*f. Is f composite?
True
Let n be 11/(-6) - (-2)/(-12). Let p(v) = -v**3 - v**2 + 2*v. Let a be p(n). Suppose u - 10 + a = 0. Is u a prime number?
False
Let t(d) = 4*d**3 + 2*d**2 - 3*d + 3. Suppose 4*z - 2*y - 18 = -0*y, 7 = z - y. Is t(z) prime?
True
Let u(p) = 12*p + 5. Let l be u(4). Let s = l + 132. Is s a prime number?
False
Let b = -9 - -23. Is b a composite number?
True
Is -577*(-14 - -6) + 6/(-2) prime?
False
Let g(r) = 0*r**2 - 3*r**2 + 5*r - 2 + 2*r**2. Let t be g(4). Suppose -d - 15 = -t*d. Is d composite?
True
Let q = -11 + 15. Suppose -q*s = s - 1255. Is s a prime number?
True
Let g = -3 + 6. Suppose -g*a + 111 = -0*a. Let f = -24 + a. Is f composite?
False
Suppose -5*o + 2*w + 180 = 0, -2*w + 10 = -0*w. Is o composite?
True
Let c = 152 - 75. Is c a prime nu