r?
False
Let d(c) = -c**3 - c**2 + 4*c - 6. Let k(m) = -2*m**3 - m**2 + 8*m - 12. Let v(l) = -5*d(l) + 3*k(l). Is v(-7) a composite number?
True
Let g = -9 + 1. Let h = g + -30. Let q = h + 69. Is q prime?
True
Suppose 4*c + 2*p = 14, c - 2*p = 1 - 0. Suppose c*b = 2*b + 3. Suppose r - b*l = 84, -3*r - 5*l + 179 = -r. Is r composite?
True
Let a(q) be the second derivative of 4*q**3/3 + 5*q**2/2 + 3*q. Is a(6) a composite number?
False
Suppose 21*z - 19*z = 10714. Is z prime?
False
Let v(k) = 4*k - 1 - 5*k - k - 26*k**3. Is v(-2) a composite number?
False
Let z = 4 + 65. Is z composite?
True
Let o = 66 - -19. Is o prime?
False
Let w(l) = 2*l**3 - 2*l + 2. Let k be w(2). Is (k/4 - 3)*1082 a prime number?
True
Suppose 5*z - 1137 = 2*z - h, -4*h = 0. Is z prime?
True
Is (4 - 5)*(-314)/2 a composite number?
False
Is (-1769)/(-11) - 4/(-22) composite?
True
Let c be 2/6 + (-352)/(-24). Suppose -c*a = -18*a + 177. Is a a prime number?
True
Suppose -2*t + 34 = 3*t - 4*b, -4*b = -4*t + 28. Is (38/t)/((-5)/(-45)) a composite number?
True
Suppose -6*n + 914 = -280. Is n prime?
True
Let c(u) = 2*u**2 + 9*u - 9. Let s = -9 - -5. Let p be 2 + -1 + 36/s. Is c(p) a prime number?
True
Suppose 0 = 2*v - 22 + 140. Let l = 116 - 228. Let y = v - l. Is y a composite number?
False
Suppose 3*w + 557 = 1430. Is w a prime number?
False
Suppose -2 = h - 17. Let m = h - 9. Suppose 2*u + 88 = m*u. Is u prime?
False
Let o = 1039 + -718. Is o a prime number?
False
Suppose 18400 + 17 = 3*i. Is i a composite number?
True
Let x be ((-1)/(-3))/((-5)/(-60)). Let t be 4/(-14) - (-2840)/(-7). Is (t/(-8))/(1/x) a prime number?
False
Let l be (2/5)/(2/370). Suppose -2*y = -a - 21 + l, -106 = -2*a + 5*y. Is a a composite number?
False
Let o(h) = h**2 + 6*h - 1. Let p be o(-8). Let g be (p/(-2))/((-2)/20). Suppose g = 5*r + 5. Is r prime?
False
Let y be (-2)/(-3) + (-12)/(-9). Is y/7 + 645/21 prime?
True
Suppose 4 = t - 4. Suppose -3*z - 2045 = -t*z. Is z prime?
True
Suppose 4234 = 9*x - 62825. Is x composite?
False
Let w be 259/4 + 2/8. Suppose -3*k - k + 16 = -2*x, 2*x - 5*k = -20. Suppose -s + 6*s - w = x. Is s a prime number?
True
Let u = 170 + 166. Suppose 0 = -b - 2*b + u. Suppose 4*p - b = -12. Is p composite?
True
Suppose p = -46 + 6. Let g = 13 - p. Is g composite?
False
Suppose 0 = 4*w - f - 727, 0*w - 757 = -4*w - 5*f. Is w prime?
False
Let u(i) = 4*i**3 + 28*i - 7. Is u(7) prime?
False
Let h(c) = c**2 + 9*c - 8. Is h(6) prime?
False
Suppose 2*m - 19 - 17 = 0. Suppose -2*c + 4*z + 40 = 0, 4*z = -6*c + 7*c - m. Is c composite?
True
Let l(f) = 346*f**2 + 2*f - 1. Is l(1) prime?
True
Let r(w) be the third derivative of w**5/60 + w**4/4 - w**3/3 + 3*w**2. Let u be r(6). Suppose -g + 3*g = u. Is g composite?
True
Suppose 0 = -3*b + 155 + 1942. Is b composite?
True
Suppose 524 = -0*q + q + 4*d, -q + d + 504 = 0. Suppose -q = -5*m + m. Is m a composite number?
False
Suppose -3*m = -4*a - 2347, 2*a = -5*m + 2566 + 1363. Is m a composite number?
True
Let w = 485 + -250. Suppose 4*i + w = 659. Is i composite?
True
Let v(t) = -10*t - 3 - 10*t + 6*t. Is v(-7) a prime number?
False
Let y = 4 + -2. Let z be ((-10)/(-8) + -3)*-32. Suppose 0 = -6*i + y*i + z. Is i a prime number?
False
Suppose 6 = 3*c - 2*r, -c + 4*r + 2 + 0 = 0. Let k be c/(-11) - 2/(-11). Suppose 3*q - 97 = -2*d + 64, k = -5*q - 3*d + 269. Is q a composite number?
True
Let q = 2 + 1. Let r(f) = -2*f - f**q - 3*f**3 - 1 + 3*f - 4*f**3 + 2*f**2. Is r(-2) composite?
True
Let i be 9*(1 + 0)*1. Is 42/i*(-39)/(-2) a prime number?
False
Suppose -12 = 3*u + 2*p, 0*p = -p - 3. Let i be u/(-8) + (-654)/(-8). Suppose 19 - i = -3*t. Is t a composite number?
True
Let j = 813 + -42. Is j composite?
True
Suppose 3*w = -0*w + 6. Suppose w*x = 3*x - 23. Is x composite?
False
Let c(o) = 4*o**3 - 2*o**2 - o. Let i be c(3). Let b = i - 28. Is b prime?
True
Suppose 0 = -7*x + 230 + 1499. Is x composite?
True
Let u be (-80)/(-6) + 10/15. Let d(y) = -3*y + 1. Let w be d(-1). Suppose s - u = -w. Is s composite?
True
Suppose 5*c - 3 = g - 0*g, -9 = -2*g - 5*c. Is (-26)/(-4) + g/4 a composite number?
False
Suppose 2*z - n = 441 + 378, 0 = -5*n - 5. Is z composite?
False
Let y = -12 + 7. Let o = y + 3. Is (9 - 0) + 4/o a composite number?
False
Let b(n) = 2*n - 3. Suppose -2*v - v + k = -13, -3*v - 2*k + 10 = 0. Let q be b(v). Suppose 0 = 2*x - q*j - 10, 5*x - 91 = -4*j - 0. Is x a prime number?
False
Let s = 7 + -13. Let y = 29 + s. Is y prime?
True
Suppose 0*z + 3*z - 6 = 0. Let k be -7 - (z - 1) - -2. Is -7*(k - (-1)/(-1)) composite?
True
Let q be 6/8 + 73/4. Is (-2)/12 + q/6 a prime number?
True
Let k(q) = -q - 5. Let w be k(-6). Is -10*(w + (-15)/2) prime?
False
Let r(w) = w**3 + 13*w**2 + 3. Is r(-13) prime?
True
Let u(p) = -6 + 1 + 1 - p. Let g be u(-7). Suppose 0 = 5*d + g*b - 274, 26 = 2*d + b - 83. Is d a composite number?
False
Let u = -182 + 431. Suppose 0 = 5*v - 4 - 21, v + u = 2*t. Is t prime?
True
Let i(z) = 9 + 10*z - 5*z - 6*z. Let f be i(8). Is f/2 - (-87)/6 a composite number?
True
Let v = -631 - -2108. Is v composite?
True
Let a = 2 - 0. Suppose 0 = a*k - 2*o - 0*o - 1930, 5*k - 2*o = 4831. Is k a prime number?
True
Suppose -223 - 1597 = -5*j. Suppose 3*n = -0*n - 3*x + 522, 2*n - 2*x = j. Suppose -2*p = -4*p + n. Is p a composite number?
False
Let s(c) = c**3 + 5*c**2 - 7*c - 4. Let o be s(-6). Suppose -1 = a + o. Is 58*a/(-6) - -2 a prime number?
True
Let a be 2/(-10) - 8/10. Let f(y) = 80*y**3 + y**2 + 6. Let w(n) = 1. Let d(c) = a*f(c) + 6*w(c). Is d(-1) composite?
False
Suppose -2*n = -n - 83. Let t = n - 57. Is t composite?
True
Let b = -3 - -6. Suppose -7 = -0*p - p + b*q, -2*q + 14 = 4*p. Suppose 249 = p*v - v. Is v composite?
False
Is -17364*8/(-36) - (-1)/3 composite?
True
Suppose -14 = -4*o + 2. Suppose -2*y - s = 0, -2*y + 0*s = o*s - 12. Is (-264)/(-18) + y/3 a composite number?
True
Let s = -13 - -15. Suppose 0 = 2*q + 2, -d = 3*d - s*q - 346. Is d prime?
False
Let q(l) = 122*l + 23. Is q(10) a composite number?
True
Let k(i) = 199*i - 3. Let c be -3*(3 - 22/6). Let y be k(c). Suppose z + 4*z = y. Is z a prime number?
True
Let i = 10 - -5. Is i prime?
False
Suppose -3*q + 4*u = -16, 4*u + 1 + 3 = 0. Suppose -381 = -7*b + q*b. Is b a prime number?
True
Suppose 0 = r + 3 - 13. Let w = r + 4. Is w a composite number?
True
Is ((-3)/12)/(9/(-19260)) composite?
True
Let k be 3 + (-6 - 0) - -8. Suppose k*y = -2*a - a + 149, 4*a - 212 = -4*y. Is a a prime number?
False
Let b(o) = 120*o**2 - 8*o + 5. Is b(8) a prime number?
True
Let o(m) = m**3 - 5*m**2 + 4*m + 5. Let h be o(4). Suppose 3*b - 60 = -h*s, -3*s + 3*b = -49 - 11. Suppose s = f - 3*y, 4*f - 2*y = y + 60. Is f a prime number?
False
Suppose 6 = 3*y + h, 9 = 4*y - 5*h + 1. Suppose u = -y*z - 4, 2*u = 5*z - 3 - 5. Suppose -m - 2*c = -34, 0 = -3*m - z*c - 3*c + 102. Is m a composite number?
True
Is 5266 - (0 - (5 - 2)) prime?
False
Suppose 8*i - 8 = 4*i. Suppose -5*o + 2*z = -443, 0 = i*z - 3 + 1. Is o prime?
True
Let o(z) be the second derivative of 1/2*z**3 + 0 - z - 3/2*z**2 + 1/4*z**4. Is o(3) a composite number?
True
Suppose 3*r - 8 = r, 665 = 3*b - r. Is b prime?
True
Suppose -3*h - 2*d + 43 = 2*h, 6 = -2*h + 5*d. Let o = -12 + h. Is 4*37 - (-2 - o) a prime number?
False
Let k = -5 - -7. Suppose f - b - 366 = 0, 757 = k*f - 0*f + 3*b. Is f composite?
True
Suppose -5*z + 5762 = -3243. Is z a composite number?
False
Let a(b) = b**2 + 7*b + 3. Let v be a(-3). Let r(h) = h**3 + 13*h**2 + 13*h - 2. Is r(v) a composite number?
True
Let m(n) = -7*n**2 + 17*n + 2. Let q(t) = 6*t**2 - 16*t - 2. Let o(h) = 5*m(h) + 6*q(h). Let u be o(11). Is u/4 + (-333)/(-6) prime?
False
Let h be -1 - 3/(-3) - -1. Let l(i) = -104*i + 1. Let r be l(h). Is 6/15 - r/5 composite?
True
Let s = -136 + 88. Let h = 26 + s. Let v = h - -37. Is v a composite number?
True
Let z(b) = b**2 + 6*b - 7. Let j be z(-7). Is 55 - (2 - (0 - j)) prime?
True
Let o = 62 - -20. Is o composite?
True
Let o(m) = m**3 + 16*m**2 - 5*m + 1. Let n be o(-8). Suppose -d + 2*d - n = 0. Is d a composite number?
True
Let g = 220 - -199. Is g a composite number?
False
Is (76/6)/((-6)/(-9)) composite?
False
Suppose 9*g - 108 - 2250 = 0. Is g a composite number?
True
Suppose 11*z + 3162 = 5*z. Let c = z + 946. Is c a 