number?
False
Suppose -w + 5*r = -1192 - 2099, 5*r + 20 = 0. Is w a prime number?
True
Suppose 3*h = 2*j - 2*h + 76, j + 2*h + 38 = 0. Is (j/6)/(6/(-18)) prime?
True
Let l(c) = -38*c + 1. Let t(p) = -p**2 + 4*p + 3. Let q be t(5). Is l(q) prime?
False
Suppose -y + 2*y + 2 = 0. Is -2 - (-1)/(y/(-114)) prime?
False
Let f = -746 - -1191. Is f a composite number?
True
Let f(q) = 93*q - 4. Is f(7) composite?
False
Is (-1*(-8)/6 - -1)*1167 a prime number?
False
Let s = 538 + -81. Is s composite?
False
Suppose 121 + 64 = 5*w. Let q = 130 - w. Is q prime?
False
Let x(d) = d**3 + 13*d**2 + 11*d - 10. Let g be x(-12). Suppose 395 = 2*h + 3*c, 0 = -0*h - h - g*c + 195. Is h prime?
False
Let p = -17 + 25. Let w(v) = -v**3 + 8*v**2 + 5*v - 6. Is w(p) composite?
True
Suppose -3*t + 6 = -t. Suppose -o - o - t*p = -1, -o = -5*p - 7. Suppose 35 = o*u + 3*u. Is u a prime number?
True
Let b(o) = -4*o**2 - 4*o + 49. Let y(n) = 5*n**2 + 5*n - 49. Let c(s) = 4*b(s) + 3*y(s). Is c(0) prime?
False
Suppose 0 = -3*j - 145 + 718. Is j composite?
False
Suppose -66 = j - 0*j. Let w = j - -187. Suppose -b = -3*g + 99 + w, -8 = -4*b. Is g composite?
True
Let h = -87 + 388. Is h composite?
True
Let m(n) = 4*n**2 + 8*n - 1. Is m(-10) a composite number?
True
Let o = -7 - -3. Let s(l) be the second derivative of -25*l**3/2 - 5*l**2/2 + l. Is s(o) a prime number?
False
Let b be (-2 - 1)*(7 - 6). Let j(k) = 3*k**2 - 2*k + 2. Is j(b) composite?
True
Let n(f) = -f**3 + 14*f**2 + 15*f + 4. Let h be n(15). Suppose -153 - 555 = -4*i - h*o, -4*i + 710 = 3*o. Is i a composite number?
False
Suppose -5*h - 4*u - 5 = 0, -3*u + 8*u + 25 = 0. Suppose -7*s + 320 = -h*s. Let d = s - 21. Is d a composite number?
False
Suppose 3 + 3 = t. Suppose -2*w = -t*w + 140. Suppose 0*l + w = l. Is l prime?
False
Let n = -102 + 159. Is n a prime number?
False
Suppose -2*n = -4*v + 3002, -5*v - 707 + 4459 = -3*n. Is v a composite number?
False
Let l(w) be the third derivative of -w**4/24 + w**3/3 - 4*w**2. Is l(-4) composite?
True
Let a = -8 + 3. Is (-1 + -13)*a/5 a composite number?
True
Let p be -234 + (6/3)/(-2). Let u = -86 - p. Is u composite?
False
Suppose 334 = o - 3*o. Suppose 4*i - 488 = 2*i. Let b = o + i. Is b prime?
False
Let s(g) = 9*g - 22. Is s(9) a prime number?
True
Suppose -5*j - b = -3*b - 1006, -b = 2*j - 397. Let v = 327 - j. Is v a prime number?
True
Suppose -5*v = -v - 12. Suppose -m = v*m - 12. Suppose -m - 3 = -3*j, -25 = -f - 3*j. Is f a composite number?
False
Suppose s = -h + 46 - 179, -3*h - 15 = 0. Let u = -39 - s. Is u a composite number?
False
Let m = -15 + 30. Suppose -o + 2*q + m = 0, o + 5*q + 0*q = 15. Is o a prime number?
False
Suppose -o + 7 - 3 = 0. Suppose o*i + 4*j = 316, 3*i + j - 111 = 122. Is i a prime number?
False
Suppose 0*f - 2 = 2*f, -5*f - 389 = 2*p. Let i = -13 - p. Let r = 253 - i. Is r composite?
True
Let z be (-284)/(-1*4)*1. Suppose -5 = -4*s + z. Is s a prime number?
True
Let l(r) = 0*r**2 - 2*r + r**2 + 2 + 3*r - 2*r. Is l(0) a composite number?
False
Let v = -216 - -410. Is v prime?
False
Suppose 2*x + 7 = 21. Let y(a) = 8*a - 1. Is y(x) a composite number?
True
Let g(z) = 4*z**2 - 10*z - 2. Let m be g(-6). Let c = m + 57. Is c a prime number?
False
Suppose 5*h - 4*h - 127 = 0. Is h composite?
False
Let k(i) = -176*i - 11. Is k(-5) a prime number?
False
Let t = 912 - 495. Let k be t/4 + (-1)/4. Let w = k + -13. Is w prime?
False
Let h(t) = -2*t**2 + 5*t - 2 - 3*t**2 + 6*t**2 - 2. Let k be h(-5). Let u(q) = 7*q**2 + 4*q + 1. Is u(k) prime?
True
Suppose 0 = -5*c - 2*w + 30, -7*w = -2*w. Is 9/c*354/9 a composite number?
False
Let x = 47 + 281. Suppose 3*p = -t - t + x, p = -t + 163. Is t a prime number?
False
Let w = 144 - 103. Suppose -2*r = -d + 6*d - 17, w = r - 4*d. Is r prime?
False
Suppose 3*f + 132 = -0*f. Let i = 81 + f. Is i composite?
False
Is -1 + 12/(-2)*-32 a prime number?
True
Let u = 114 + -81. Is u a composite number?
True
Is 3*4/(-24)*-382 prime?
True
Suppose -620 - 104 = -4*x. Is x a prime number?
True
Suppose 4*j - 3*b = 3896, -4*j - 3*b + 2028 = -1892. Is j prime?
True
Let n(d) = 906*d**2 + 1. Suppose 0 = -5*o - 5*c + 5, 2*o - o + 9 = 4*c. Is n(o) prime?
True
Let x(b) = 1. Let o(j) = 2*j + 9. Let g(w) = -o(w) + 6*x(w). Let y be g(-4). Suppose -5*z = -q + 2 - 99, 3*z - 47 = -y*q. Is z a composite number?
False
Suppose -b - b = -884. Suppose 274 = 3*o - 4*w, 3*o + 2*o = 3*w + b. Is o composite?
True
Let p be (-100)/7 - (-4)/14. Is (-2061)/(-63) - 4/p a prime number?
False
Suppose 113 = -3*u + 494. Is u composite?
False
Let v = 204 - -7. Is v composite?
False
Suppose -15 = -j - 3. Let r(w) = w + 8. Let p be r(-6). Suppose -j = -p*x + 2. Is x prime?
True
Suppose 3*i = 986 - 38. Suppose 2*j - b = -72 + i, 246 = 2*j - 2*b. Is j a prime number?
False
Is 923 + ((-18)/(-45))/(2/(-10)) a prime number?
False
Suppose -g = -4*g + 6. Suppose -b + 3*b - g = 0. Is (b*-3)/((-3)/31) composite?
False
Suppose -5*w - 8 = 27. Let t(f) = f**3 + 8*f**2 + 6*f + 4. Is t(w) a composite number?
False
Suppose -4*q + d + 7 = 0, -3*q + 7*q - 3*d + 3 = 0. Suppose -338 = -3*s + 2*p + q*p, -4*s + 449 = -5*p. Suppose 4*a - s = a. Is a composite?
False
Let z = 99 + -62. Is z composite?
False
Let s(t) = t**2 + 851. Is s(0) a composite number?
True
Let y = -1130 - -1671. Is y a composite number?
False
Let p(d) = -3*d**3 - d + 1. Let w be p(-3). Let r be 1/(-4) + w/4. Suppose 2*b - 145 = r. Is b a prime number?
True
Suppose -1 = -w - 2. Let v = w - -3. Suppose -5*a - v*d = -169, 0*d = -2*a + 4*d + 82. Is a a composite number?
True
Let u be 6*(-40)/(-18)*3. Suppose 3*f - f = -u. Let c = f - -57. Is c a composite number?
False
Let h(l) = -l**2 - 21*l - 3. Is h(-6) a prime number?
False
Suppose -5*d - 9 = 5*a + 6, -6 = -d + 2*a. Suppose m - 3 = -d*m. Suppose 82 = -m*l + 565. Is l composite?
True
Let u = 5 - -7. Suppose -90 = -0*n - 2*n - 4*t, -4*t = u. Is n a composite number?
True
Let y(k) = -k**3 + k**2 - k - 18. Let s be y(0). Let i = 27 + s. Suppose 0 = -4*q - 3*u + 49, -2*u = u - i. Is q a composite number?
True
Let h(v) = 4*v - 3. Let w be h(2). Suppose -5*m = 10, 0 = -k - m - 3 + w. Suppose -5*j = k*g - 393, -5*j + 4*j - 3*g + 83 = 0. Is j prime?
False
Let q(h) = 8*h + 7*h - 1 + 25*h. Let d(z) = z**2 + 5*z - 3. Let s be d(-6). Is q(s) a prime number?
False
Suppose 4*m - 423 - 293 = 0. Is m a composite number?
False
Suppose 5*q + 9845 = 38190. Is q composite?
False
Suppose -45 = -5*k + 5. Is k a prime number?
False
Suppose -5*f = 2*k - 3423, 5*k + 2745 = 5*f - f. Is f composite?
True
Let g be 87/1 + 1 + 1. Suppose 3*t - g = -t + v, t + v = 16. Suppose 166 = 3*d + 2*c + t, -d + 4*c = -39. Is d a prime number?
True
Suppose -30 = -5*n + 5*y, 2*n = -3*n + 3*y + 38. Suppose -3*s + s = -n. Suppose s*k - 2*h = 20 + 24, h + 7 = k. Is k composite?
True
Is (-12284)/(-36) + 2/(-9) prime?
False
Suppose 468 = -3*a - 4*l, 3*l - 780 = 5*a - 0*l. Is (-6)/4*a/9 composite?
True
Let h = 154 + -20. Is 0 + -1*h/(-2) composite?
False
Let h(x) = 4*x + 2. Suppose -5*j - 2*s + 35 = 0, -4*s + 35 = 3*j - 0*j. Is h(j) prime?
False
Let c(d) = 187*d + 5. Is c(2) a composite number?
False
Suppose 6*k - 2 = 5*r + 2*k, 3*r + k = 9. Suppose 0 = d - r*d + 19. Is d a prime number?
True
Let g(d) = 6*d**2 - 2*d - 2. Let c be (-2)/(-5) + (-16)/40. Let x be c - (7 - 3 - 2). Is g(x) a prime number?
False
Let h(f) = f**3 + 3*f**2 - f + 4. Let k = 1 - -1. Let s be 2 - (-6)/k - 2. Is h(s) a prime number?
False
Let k be ((-36)/45)/(2/(-5)). Is k + 1 - (-2 - 90) composite?
True
Let x(d) = -d - 4. Let b(k) = -3*k - 7. Let m(y) = 4*b(y) - 7*x(y). Is m(-7) composite?
True
Let c(p) = 3*p**2 - 11*p - 5. Is c(16) a composite number?
False
Let x(a) = 2*a**3 + 5*a**2 + 8*a + 3. Let q(l) = 3 - 2*l**3 + 5*l**2 + 8*l - l**3 + 4*l**3. Let w(s) = 3*q(s) - 2*x(s). Is w(6) composite?
True
Let z = 4 - 4. Suppose 4*q - 3*b - 1067 = 0, 1331 = 5*q - b - z*b. Let t = q - 183. Is t a prime number?
True
Let u = 70 - -118. Let r = u - 49. Is r prime?
True
Let t be (-1 + 1/3)*-27. Let l be (1 + 2 + -3)/(-1). Suppose l = -x, 5*g - 3*x = t + 147. Is g a composite number?
True
Let o be 2 + -4 + (1 - -2). Let z be 10 - o/(2 - 1). Let h = 15 - z. Is h composite?
True
Is (-2)/(-2) - ((2 - 1) + -121) a prime number?
False
Let z = -299 - -