
True
Suppose -3*d + 0*d + 177 = 0. Is d a composite number?
False
Let t(s) = 123*s**2 + 4*s - 12. Is t(5) a prime number?
True
Suppose -23 - 2 = -5*n. Suppose 2*h = -3*r - 1417 + 3705, 0 = -n*r + 2*h + 3824. Suppose -2*o + 6*o = r. Is o composite?
False
Suppose 13*w - 534 = 10*w. Is w a prime number?
False
Let r(m) = 42*m - 5. Let t(c) = 43*c - 6. Let l(v) = 6*r(v) - 5*t(v). Let b = 3 + 2. Is l(b) composite?
True
Let a(o) = -o**3 + 4*o**2 - 2*o + 6. Let d be a(4). Is d/(-9) + (-2678)/(-18) composite?
False
Let m be (-1 - 15)*6/8. Suppose -4*y - 105 = 5*q + y, 0 = 4*q - 4*y + 60. Let w = m - q. Is w a prime number?
False
Let f = -49 + 252. Is f composite?
True
Let j(n) = -n**3 + 6*n**2 + 6*n + 6. Let x be j(6). Suppose -x = -3*t + t. Is t composite?
True
Let r(c) = -44*c + 11. Is r(-9) a prime number?
False
Suppose -2*a + a = -143. Is a prime?
False
Let m be 5/(-15) - 122/(-6). Let a(t) = -t**2 + 4*t + 3. Let j be a(4). Suppose j*z = 13 + m. Is z a prime number?
True
Let r(c) be the first derivative of -c**3/3 + c**2/2 + c + 2. Let l(w) = 5*w**2 - w - 1. Let t(z) = l(z) + 4*r(z). Is t(-5) a prime number?
True
Suppose -d = -3*h - 105, -d - 3*h + 46 + 35 = 0. Suppose v - d = -0*v. Is v composite?
True
Let n = 4 + 4. Suppose 0 = -5*l - b + n, 0*l + 3*l - 2*b = 10. Is l composite?
False
Let y = 15 - 0. Let w = -5 + y. Is (-8)/w*100/(-8) a prime number?
False
Suppose 0 = 4*q + 103 - 2627. Is q a prime number?
True
Let z(y) be the second derivative of 5/12*y**4 - 1/20*y**5 - 1/2*y**3 + 0 + 2*y**2 - y. Is z(3) a composite number?
False
Suppose 0 = -2*u - 2, -3*n + 24 = -7*n + 4*u. Let h(o) = o**3 + 9*o**2 + 9*o - 10. Let w be h(n). Suppose -w - 20 = -5*v. Is v a prime number?
False
Suppose 5*y - 912 = -4*c, 2*y - 83 - 817 = -4*c. Is c prime?
True
Suppose -4*c - 538 = 2*j - 1548, j + 760 = 3*c. Is c prime?
False
Let t(z) = -10*z**3 + 3*z**2 - 11*z - 7. Is t(-7) a prime number?
False
Suppose -4*o - 8*i = -4*i - 56, -o = -3*i - 18. Suppose -n - 5*p = -o, 0*n + 3*n = -5*p + 65. Is n a prime number?
False
Suppose 9*d - 2678 = -347. Is d prime?
False
Suppose 0 = -5*n + 46 + 29. Let u = -5 + n. Let p(j) = -j**2 + 13*j - 9. Is p(u) a prime number?
False
Let v(u) = u**2 - u - 2. Let r be v(2). Suppose -5*s = 5*m - 425, m + r*m - 259 = -3*s. Is s a prime number?
False
Suppose 4 = -5*z + 19. Let d(m) = -10*m - 2. Let o(v) = 21*v + 3. Let u(t) = 5*d(t) + 3*o(t). Is u(z) composite?
True
Let q = 2632 + -1625. Is q prime?
False
Let b = -165 + 676. Is b composite?
True
Suppose -4*i - 4*d - 172 = -2*d, -8 = 4*d. Let r be (i/9)/((-2)/42). Let t = r - 59. Is t a composite number?
True
Suppose -a + 0*l + 4 = -3*l, -20 = -5*a - 4*l. Suppose -3*j - 2*v + 905 = 0, -4*j - a*v = -1413 + 201. Is j prime?
False
Let d(r) = r**3 - 6*r**2 + 4*r + 6. Let j be d(5). Let p be 31/(-2) - (21/(-6) + 2). Let z = j - p. Is z a composite number?
True
Is ((-4)/6)/((-12)/1386) prime?
False
Let o(d) = -d**2 + 3*d - 3. Let t be o(4). Let y = 10 + t. Suppose -69 + 12 = -y*b. Is b composite?
False
Let c be (-129)/6 + (-5)/10. Is (388/(-10))/(c/55) a prime number?
True
Suppose -3*a - r + 0*r + 1142 = 0, 0 = a + 5*r - 376. Is a prime?
False
Let t be 0 + (9 - 1) + -2. Suppose -r = -t*r + 4*j + 559, -116 = -r + 5*j. Is r a composite number?
True
Let d(o) = 2*o + 4. Let c(p) = 4*p + 9. Let k be (6/9)/((-4)/(-78)). Let h(q) = k*d(q) - 6*c(q). Is h(6) prime?
False
Let z(s) = 22*s**2 - 10*s - 71. Is z(-6) a composite number?
True
Let l(i) = -i**2 + 13*i + 49. Let t be l(15). Suppose -1 = -b, 6*m - 69 = 5*m - 3*b. Let a = t + m. Is a composite?
True
Let j = -8 - -29. Is j a composite number?
True
Let d be 10*(-4)/2*-2. Let h be (18/(-12))/((-2)/d). Let j = h + -7. Is j a composite number?
False
Suppose 4*k = 4*h + k - 6, k = h - 1. Suppose -3*m = 0, 2*m - 5 = d - 44. Is d - (0 + h + -1) prime?
True
Suppose -3*d + 2*d = -829. Is d a prime number?
True
Let p(f) = 3*f**2 - 3*f + 1. Let x(d) = d**3 + 3*d**2 - 5*d - 2. Let u be x(-4). Let y be p(u). Let a(k) = k**2 - 8*k + 9. Is a(y) composite?
False
Let p = -231 - -92. Let h = p - -58. Is (2 - 1*h)/1 a prime number?
True
Suppose -3*d = -5*w + 189, w - 12 - 19 = 4*d. Suppose 5*k + w = m + 309, 3*k + m - 170 = 0. Is k composite?
True
Let m = -10 + 34. Let r(b) = 3*b**3 + 3*b - 1. Let o be r(3). Let s = o - m. Is s a composite number?
True
Let j(g) be the second derivative of g**5/10 + g**4/12 + 2*g**3/3 - 5*g**2/2 - 8*g. Is j(4) prime?
False
Let a be 543/2 + 1/2. Suppose -o + 107 = -a. Is o a prime number?
True
Let u(m) = 2*m**2 - 8*m - 5. Is u(-5) composite?
True
Let t(v) = 2*v**2 + 55 - v**3 - 2*v**3 - 3*v**2 + 2*v**3. Is t(0) a composite number?
True
Suppose 4*k - 3 = k. Let z(s) = -3*s + s**3 - k - 2*s**3 - s**2 + 3*s**2 + s**2. Is z(-3) prime?
False
Let s = 31 - -66. Is s prime?
True
Suppose 3*v - 4*v = -302. Suppose r = -5*z + 480, -3*z = -5*r + 42 - v. Is z a prime number?
False
Let o = 1074 + -501. Is o composite?
True
Let r = 176 - 36. Suppose -2*j = i - r, 5*j - 53 = i + 290. Is j a prime number?
False
Suppose 5*i = 2*i + 3. Suppose -19 = -4*d + i. Suppose 0 = -d*j + 10 + 45. Is j prime?
True
Suppose 0*z = -z - j - 152, -5*j = 3*z + 452. Let d = 216 + z. Is d prime?
False
Let o = 197 + 70. Is o composite?
True
Let z = 170 + -101. Suppose m + 3*b + 5 = z, -b = -2*m + 135. Is m prime?
True
Suppose -2*j + 4*j = 30. Let s = -11 + j. Suppose -4*g + 4*c = -136, -s*g - c + 167 = 16. Is g a prime number?
True
Suppose 40*u - 36*u - 3004 = 0. Is u composite?
False
Let x(n) be the second derivative of 0 - 1/2*n**2 - n + 4/3*n**3. Is x(1) prime?
True
Suppose -7*t + 4*t + 2523 = 0. Is t prime?
False
Is ((-230)/(-50))/((-2)/(-310)) composite?
True
Let g(b) = b**3 + 4*b**2 - 1. Let p be g(-4). Let m = 1 + p. Suppose -2*n - t = -2*t - 39, 2*t - 10 = m. Is n a composite number?
True
Let l(v) = -v + 3. Let p(r) = -r**3 - 10*r**2 + 10*r - 10. Let j be p(-11). Let m = j + -1. Is l(m) prime?
True
Let d = -11 + 16. Suppose -3*b - 2492 = -6*b - d*m, 4205 = 5*b - 2*m. Is b a composite number?
False
Is (-1)/2 - 2466/(-12) a composite number?
True
Let v = 8 + -6. Suppose -4*u = v + 2. Is 2 - (16/(-2) - u) composite?
True
Let m(u) = u**2 + 4*u + 1. Let d be m(-5). Suppose 43 + d = h. Let s = h + -12. Is s composite?
False
Is 2095/25*10/2 a composite number?
False
Let o = 63 - 28. Let v = 81 - o. Let p = v + -27. Is p a composite number?
False
Let y = -4 - -7. Let q = 21 - 18. Suppose -2*a - y*a = 4*v - 665, 0 = -q*a - 2*v + 399. Is a a prime number?
False
Suppose -3*o - 3*i + 4020 = 0, 0 = -o + 7*i - 4*i + 1328. Is o composite?
True
Let d(v) = 6*v**2 - 2*v - 3. Suppose 3*b + 5*x + 4 = -b, 4*x + 4 = -3*b. Is d(b) a composite number?
True
Let d(u) = -u**2 + 10*u + 33. Let x be d(13). Let a(g) = -9*g - 8*g + 7 + 0. Is a(x) composite?
False
Let z = -323 + 492. Let o = z + -92. Is o prime?
False
Suppose 18*c - 21*c = -1143. Is c composite?
True
Let k(v) = -11*v**3 - 3*v**2 + 4*v - 3. Is k(-5) a composite number?
False
Let m be 4/3*15/10. Suppose 123 = m*b + 49. Is b composite?
False
Suppose -2*w - 4 = -4*c, 2*w = 4*c + c - 7. Suppose 0 = -2*a - 2, -5*s = -2*s - c*a + 27. Is (132/30)/((-2)/s) a composite number?
True
Let f = -179 - -103. Let z(t) = 16*t**3 + t**2 - 3*t + 3. Let a be z(2). Let x = a + f. Is x composite?
False
Suppose 0 = -4*c + q - 0*q + 135, -5*c = q - 180. Is c prime?
False
Let g(j) = j**3 - 5*j**2 - 6*j + 2. Let k be g(6). Suppose 21 = m - 4*c, 0 = k*m - m + 3*c - 42. Is m a prime number?
False
Suppose 3*g + 3*r + 8 = 23, 5*r = g + 13. Suppose -2*d - g*d = -316. Is d composite?
False
Suppose 3*q + 6*i + 32 = 2*i, -i = 4*q + 34. Let b = 45 + q. Is b a prime number?
True
Let k(t) be the second derivative of -t**5/5 + 5*t**4/12 - t**3/3 + 3*t**2 - 6*t. Is k(-5) composite?
False
Let k(i) = -i**3 - i**3 + 5 - i + 0*i**2 - 3*i**2. Is k(-4) a prime number?
True
Suppose -3*d + 2*d = 5*s + 8, 2*d = -2*s. Suppose 2*j + 133 = l, d*j - j = 2*l - 281. Is l composite?
True
Let b = 5608 + -2577. Is b a composite number?
True
Suppose u + 24 = -3*r, -3*u + 27 = 2*r + 113. Is ((-132)/u)/(2/10) a prime number?
False
Let x be 252/2*(-2)/(-4). Let y = x + -96. Let u = 56 + y. Is u a composite number?
False
Suppose -5*b = -216 - 244. Suppose 6*a = 2*a + b. Let z = a - 8. Is z a p