 Is o a prime number?
True
Let d(w) = -2*w - 4 + 3*w - 18*w. Let z(k) = 18*k + 4. Let q(p) = 5*d(p) + 4*z(p). Is q(-3) prime?
False
Let o(j) = -j**2 - 7*j - 10. Let p be o(-2). Suppose p = 3*v - 9*v + 2706. Is v prime?
False
Suppose -3*n = -2*j - 22287, 2*n - 5*j - 14842 = -9*j. Is n prime?
False
Let o = -389 - 2473. Let d = -1711 - o. Is d prime?
True
Let c be 4/8*8 + -5. Is (-12717)/(-36) - c/(-4) prime?
True
Let l(d) = d**2 + 11*d. Let s be l(-11). Let k be 536 + (8/(-4) - s). Suppose -5*r + 119 = 3*f - 1216, -2*r - 3*f = -k. Is r prime?
False
Suppose 3*m - 41 = 19. Let a be (35/m)/(1/(-12)). Let d = a + 34. Is d composite?
False
Let j(a) = 64*a**2 - 21*a - 69. Is j(20) prime?
True
Suppose -2*k = -4*a - 24, 20 = -a - 3*a. Suppose -n = -4*t, -k*n = 3*n - 2*t - 18. Suppose -2596 = -n*y - 368. Is y a composite number?
False
Is 2*((-4)/(-14))/(52/5213117) prime?
True
Suppose 9*n = 61746 + 144615. Is n prime?
False
Is (-2)/(1977950/(-219770) + 9) a prime number?
True
Let f = -2189 + 16152. Is f composite?
False
Let z = 2076 - 1021. Suppose -2*i + 7*i = z. Is i composite?
False
Let b = 3911 - -10722. Is b composite?
False
Let p(a) = a**3 + 5*a**2 - a - 5. Let n be p(-5). Let q = -3 - -6. Suppose q*z = t + 397, 2*z + 4*t - 281 - 7 = n. Is z prime?
False
Let v(f) = -4*f**3 - 3*f**2 - 6*f. Let i(q) = -1 - 7*q - 2*q**3 - 9*q**3 + 0*q**2 - 12*q - 8*q**2. Let s(o) = 3*i(o) - 8*v(o). Is s(-6) prime?
False
Suppose 5 = -i + 2. Let g be i*(245/(-15))/7. Suppose -9*w = -g*w - 586. Is w prime?
True
Suppose 14*d + 9948 = 18*d. Let s = -658 + d. Is s a prime number?
False
Suppose x - 21*m + 23*m = -61, 20 = 4*m. Suppose -3*c + 436 = -b, 4*c - 3*b - 584 = b. Let i = c + x. Is i a composite number?
True
Let s be (257*(6 + (-6)/3))/2. Let r = 765 - s. Is r composite?
False
Let f be 93*((-1)/3 + 0). Let o = f - -35. Suppose o*m - y = 631, 0 = -4*y + 13 + 7. Is m prime?
False
Let y(q) be the third derivative of -5*q**4/12 - q**3/6 - q**2. Let l(k) = -8*k**2 - 19*k - 19. Let g be l(-1). Is y(g) prime?
True
Let y(n) = n**2 + n + 3. Let c be y(-2). Is -1 + 99 - 15/c composite?
True
Let o(j) = 2*j**3 - 25*j**2 - 61*j - 9. Is o(26) composite?
False
Let w = 12 - 12. Let v be (w + (-83)/(-3))*-9. Let u = 454 + v. Is u prime?
False
Suppose 77 - 14 = -w. Is 1 - w*(-4)/(-2) a prime number?
True
Suppose -20 = -g - 3*u + 34, -4*g + 199 = -5*u. Suppose -3*p = -4*p - 4, 0 = -c - 3*p + g. Let x = -29 + c. Is x prime?
False
Suppose 0 = -3*x - 5*q + 12823 + 8839, q = 2*x - 14437. Is x a composite number?
False
Suppose q = -0*q - 2*t + 6, -2*q + 12 = t. Let h(i) = 83*i - 31. Is h(q) prime?
True
Suppose 0*j - 887417 = -4*j + 3*z, 0 = -2*j - 3*z + 443713. Is j a prime number?
False
Let k = 57 + -54. Suppose -5*u + k*y = y - 3701, -2968 = -4*u + 4*y. Is u a composite number?
False
Let l(f) = 222*f**3 - 23*f**2 + 5*f - 15. Is l(5) prime?
False
Let n = -149 + 84. Let g = 79 + n. Is g a prime number?
False
Let v(m) = -43*m + 31. Is v(-36) a composite number?
False
Is 8 - (-96)/(-8) - -8627 prime?
True
Suppose 0 = 5*z - 4*c - 31329, -4*z + 3*c - 1527 = -26591. Is z prime?
True
Suppose 0 = 3*p + 3*m - 8814, 0 = 3*p + 2*m - 7193 - 1622. Is p a prime number?
True
Let d(a) = -76*a + 3. Let f be (-9)/6 - (-21)/6. Suppose 1 + 1 = -f*m. Is d(m) a prime number?
True
Suppose 2*x - 13535 = -2*x - 3*v, -5*x + 5*v + 16945 = 0. Is x a composite number?
True
Let o(j) = 1075*j**2 + 2*j - 1. Let y(v) = v**3 + 2*v**2. Let h be y(-1). Let c be o(h). Let r = c - 703. Is r a prime number?
True
Let c be 3*(-15)/(-9)*1. Suppose -w - 2*a = -1 + 5, -4*a - 8 = c*w. Suppose w = -3*x + 5*x - 172. Is x a prime number?
False
Suppose m + 3*k = -10, -4*m - k + 1 = -3. Suppose -4*l - 1182 = -2*w, -7*w + m*w + l = -2919. Is w a prime number?
False
Let c = -186 - -270. Let u = c - 33. Is u a composite number?
True
Suppose -4*n = -3*p + 116395, 22*p - n = 18*p + 155189. Is p prime?
False
Let n = -14 - -5. Let o = -7 - n. Suppose 20 + 54 = o*y. Is y composite?
False
Let l be 104/56 - (-1)/7. Suppose 2512 = l*i + 4*r, -3*r = 3*i - 0*r - 3783. Is (i/18)/((-2)/(-6)) a composite number?
False
Suppose -2*a + 2 = 0, 4*j - 60 = -a - 15. Suppose -9*d = -j*d + 298. Is d a composite number?
False
Let u(s) = 32*s**2 - 3*s + 57. Is u(8) prime?
True
Suppose 5*x = 4*o - 206, -3*x + 148 + 91 = 5*o. Suppose -4*l + 18 = -7*l. Let u = o - l. Is u composite?
True
Suppose 4*u + 9177 = 4*m + 23133, 2*u - 4*m - 6970 = 0. Is u a composite number?
True
Let y(i) = -64*i + 24. Let z be y(-5). Suppose 0 = 4*t - 4*k - z, -320 = -4*t - 3*k - k. Is t a prime number?
True
Let z be (-27)/(-6) + (-1)/2. Suppose -2*h + 40 = 5*w - 32, -w - 3*h + z = 0. Let v = w - -201. Is v a prime number?
False
Let f(v) = -4*v - 122. Let p be f(-31). Suppose -5*y = s - 4*s - 847, -5*s + 855 = 5*y. Suppose p*h = 4*h - y. Is h composite?
True
Let s = 17 - 17. Suppose 5*r - 3*r + 5*a + 2 = s, -5*r = -5*a + 5. Is (-253 - 6/(-3))*r composite?
False
Let t(n) = 2*n + 31. Let z be t(-19). Is (-1)/((-3)/(-3)) + (-2058)/z composite?
False
Let j(s) = 2*s**3 - 3*s**2 + 14. Let m be j(6). Suppose i = m + 293. Is i a prime number?
True
Suppose 2*k + 1 = k, -6593 = -2*y - 5*k. Is y prime?
True
Let a(o) = 4*o**3 + 2*o - 1. Let r be a(2). Let z = r + -34. Is z - (-92 + (-1 - -1)) a composite number?
True
Let i(x) = 44*x - 1. Let q(l) = 45*l - 1. Let n be (8 + 1)*(-16)/24. Let t(h) = n*q(h) + 7*i(h). Is t(3) prime?
True
Let l = -9 - -12. Suppose 0 = w + 2*x + 4, 0 = 3*w - l*x + x + 12. Let o(t) = -6*t**3 - 5*t**2 + 2*t - 3. Is o(w) composite?
False
Let z(a) = 973*a - 114. Is z(11) composite?
False
Let v(o) be the third derivative of o**5/30 - o**4/4 + o**3 + 5*o**2. Let a be v(4). Let k = a - 1. Is k prime?
True
Let u be -40*(0 + 1)*-12. Let k be u/4*8/10. Let n = k + 53. Is n prime?
True
Let u = -1912 - -4802. Let r = -1523 + u. Is r a composite number?
False
Suppose 6*h - 2*h - 13 = 5*v, -2*v - 10 = -4*h. Suppose 9 = h*b + b. Suppose -k + 431 = 3*n, 1341 = -0*k + b*k - 3*n. Is k prime?
True
Let p be 0/6 + 4/1. Let u be -1*p/((-4)/867). Let a = -604 + u. Is a a prime number?
True
Let d be -3*(1 + 102) + 4. Let c = d + 687. Is c a prime number?
False
Suppose 6*s - 18460 - 8042 = 0. Is s a prime number?
False
Is 4*(-1)/(-1) - (49 + -179) prime?
False
Let v be 4/(-6) - 28/(-6). Suppose v*p - 30 = -f - 0*f, -4*f - 5*p = -164. Is f prime?
False
Let n be (-3)/2*331*(-6)/(-9). Let d(v) = -v**2 - 4*v - 2. Let k be d(-4). Let q = k - n. Is q prime?
False
Let d be ((-16)/(-3))/(-2)*(5 + -41). Suppose 2715 = 9*n + d. Is n a prime number?
False
Let r = -99 + 1385. Suppose -5*v = r - 56. Let n = -163 - v. Is n prime?
True
Is ((-113)/3)/1*(20 - 1733) composite?
True
Suppose -15*o + 2128 + 28457 = 0. Is o a composite number?
False
Suppose 5*d + 8841 + 5845 = l, -5*d - 14682 = -2*l. Is (-1)/(2/d) + 0 prime?
False
Let c be 2/8 + 14/8. Suppose 16 = 2*b - 4*t, 5*b - c*t - 16 = 2*t. Suppose b = -2*y + 8, 5*i - y = -2*y + 159. Is i prime?
True
Let x be 4/(-30) - (-268216)/120. Suppose 2*r - 7*r = -x. Is r a composite number?
True
Let v = 17272 + -8273. Is v composite?
False
Is -430*(-7 - -2) - -5 prime?
False
Let y(t) = -469*t - 85. Is y(-12) a composite number?
True
Suppose 7*h = 6*h - 23. Let u = h - -44. Is u prime?
False
Let k = 8254 + -4905. Is k composite?
True
Let q be 4/(-3)*33/(-22). Suppose -q*x - 12 = -28. Is 420/x - (-2)/4 a composite number?
False
Suppose 4*a - a - 371 = 2*i, -a + 5*i + 102 = 0. Let f = 326 - a. Suppose 4*g + c - 466 = -77, -2*g + f = 5*c. Is g a composite number?
False
Suppose 0 = -2*g + 1415 + 4623. Is g a prime number?
True
Suppose 0 = -2*a - 3*p + 5, -9 - 1 = -a - 4*p. Let n = 4 + a. Suppose -n*r - 4*l + 38 = 0, -2*r + 5*r + 2*l - 65 = 0. Is r prime?
True
Is 15/10*(-171512)/(-12) prime?
False
Suppose -40*l = -32*l - 26008. Is l prime?
True
Suppose 3*i - s = 22, -2*i - 2*s - 5 = -17. Let o(p) be the first derivative of 2*p**3 - 7*p**2/2 + 6*p + 1. Is o(i) composite?
False
Let p(d) = 24*d**2 - 3*d - 41. Is p(8) a composite number?
False
Let d = -347 + 1185. Is d a composite number?
True
Let z(t) = -340*t + 29. Let u be -3 + 6/(-4)*8. Is z(u) a prime number?
False
Let z(l) = 105*l + 199. Is z(10) composite?
False
Let x(c) = 3 + 2 + 83*c - 199*c. Suppose 2*o - 4*t + 4 = 0, 5*o