
Let y = -15 + 11. Let b = y - -8. Suppose -7 = -b*r + 45. Is r a prime number?
True
Suppose -2*m - m + 759 = 0. Suppose -5*a = g - a - 243, -g - 2*a + m = 0. Is g prime?
True
Suppose -3*o = 4*z - 4*o - 62636, z - 15659 = -4*o. Is z a prime number?
False
Let q be ((-8)/5)/(2/3855). Let k be (-2)/(-9) - q/(-27). Let u = -61 - k. Is u a composite number?
False
Let a be (-14)/35 - 864/(-10). Suppose -2*v - 3*c + a = -0, 0 = 5*v - 4*c - 169. Is v composite?
False
Let y = 2049 + -1160. Is y prime?
False
Let c(w) = w**2 + 4*w + 3. Let h be c(-3). Let s(q) = -q + 223. Is s(h) a composite number?
False
Suppose -324 = -3*g + 3*b, 597 = 5*g + 2*b + 22. Let l be 5 + -1 + (-4)/(-2). Suppose -g = -3*y - 2*q, l*q - 116 = -3*y + q. Is y a composite number?
False
Suppose -2*z + 61 = 31. Is z a prime number?
False
Let x(q) be the first derivative of -q**3/3 + 5*q**2 - 5*q + 2. Is x(4) prime?
True
Suppose 4*k - 8655 = -5*w, 12 = 2*k + 2. Is w composite?
True
Is 1 - (6 + -10)/((-4)/(-266)) a composite number?
True
Let t(k) = -k**3 + k**2 - k + 1. Let s be t(1). Let z = s + 2. Suppose -5*j - 48 + 319 = z*o, -4*o - 147 = -3*j. Is j composite?
False
Suppose -285 = g - 4*g. Let w = 79 + -137. Let k = w + g. Is k prime?
True
Suppose 2*s + 219 - 1465 = 0. Is s composite?
True
Let m(a) = 113*a**2 - 2. Let z be m(3). Suppose z = g + 4*g. Is g composite?
True
Let y be (-4 - -2)*(-206)/(-4). Suppose -74 + 210 = -2*b. Let x = b - y. Is x a prime number?
False
Let a = 324 + -193. Is a a prime number?
True
Suppose -m + 3*i = -i - 4, -5*m + 5*i + 5 = 0. Suppose m = -3*j + 3*q + 27, 2*j + 5*q = 3*j - 13. Let g = j - -1. Is g a composite number?
True
Suppose -4*h - 409 = -i, i - 302 = 5*h + 210. Let g = 180 + h. Is g a composite number?
True
Let z be (0 + (-1 - 0))*52. Let b = -33 - z. Is b a composite number?
False
Let c = 49 - 19. Let w be (-3 - -8)/(3 - 2). Let r = c + w. Is r prime?
False
Let h be 2 - (3 + -3 + 1). Suppose -4*u + 5 - h = 0. Is -2 - -52 - (0 + u) composite?
True
Let k = 304 + 345. Is k a prime number?
False
Suppose 3*m - 1754 - 88 = 0. Is m prime?
False
Let i(n) = -321*n**3 + 2*n + 2. Is i(-1) prime?
False
Suppose -767 = -3*n + 652. Is n prime?
False
Let n = -9 - -18. Is n composite?
True
Suppose -9*g = -6*g - 24. Suppose -g*f + o = -4*f - 2708, -3*f = -5*o - 2031. Is f composite?
False
Is 3/((-3)/(-57)*1) a prime number?
False
Let o = -11 - -7. Let t(l) be the first derivative of l**4/4 + 7*l**3/3 + 5*l**2/2 + 5*l - 2. Is t(o) prime?
False
Suppose -t + 7 = 3. Suppose 5*o - 8 = -4*a + t*o, 7 = a - o. Suppose -a*n - 29 = -134. Is n composite?
True
Suppose 2*y - 4*y = 0. Let v be -4 - (-14)/(-2)*-1. Suppose v*s = 5*b - 452, y = -2*b - 5*s - 65 + 252. Is b a prime number?
False
Let b(r) = -r**3 + 5*r**2 - 11*r - 7. Is b(-8) prime?
False
Let d(a) = a**3 + 17*a**2 + 11*a - 16. Is d(-15) a prime number?
True
Suppose 0 = 5*y + c - 20, 3*y + 3*c + 20 = 4*y. Suppose -3*z + 235 = 2*z + 2*p, -25 = y*p. Is z prime?
False
Let c(r) = -r + 9*r - 3*r**2 + 2*r**2 + 0*r**2. Let k be c(8). Suppose k*b - b = -51. Is b a composite number?
True
Let g = -10 + 6. Is 33 + ((-16)/(-2))/g a composite number?
False
Suppose 5*u - 593 = -108. Is u prime?
True
Let o = -3139 - -5684. Is o composite?
True
Suppose 0 = -j + 4*l + 1709, -j + l - 6*l = -1673. Is j prime?
True
Suppose 7*r + 1795 = 12*r. Is r a prime number?
True
Let h = 633 - 374. Is h a composite number?
True
Let g = -4 - -2. Let i be 51/15 - g/(-5). Suppose -2*z = 3*l - 7*l - 12, -i*l - 30 = -3*z. Is z a composite number?
True
Suppose -4*p - 5*q = -3*p + 15, q - 29 = 3*p. Let v(t) be the first derivative of -5*t**2/2 - 13*t - 7. Is v(p) prime?
True
Suppose 0 = -4*c, -4*b - c = 1 - 5. Let l(o) = 43*o**2. Is l(b) composite?
False
Let a(k) = -39*k**3 - 2 + 7*k**2 + 2 - 5. Let q(c) = -58*c**3 + 11*c**2 - 8. Let w(b) = -8*a(b) + 5*q(b). Is w(1) a prime number?
False
Let y be 0 + (1 + 2)/(-3). Is y/(2 - 3)*127 prime?
True
Is 2/(-3)*1146/(-4) a prime number?
True
Is (-4106)/(-2)*(10 - 9) a composite number?
False
Let p(s) = -40*s + 1. Is p(-4) a composite number?
True
Is 1348/3 + 1/(-3) a composite number?
False
Let v = -366 - -745. Is v composite?
False
Suppose 5*y - 4 = -0*y + 3*n, -8 = -4*n. Let c = y + 0. Let s(i) = 26*i + 1. Is s(c) composite?
False
Suppose 4*b = -2*q + 790 - 152, -q - b = -319. Is q composite?
True
Suppose -5*v = -2 + 12. Is ((-426)/(-4) + v)*2 a composite number?
True
Let t(d) = 2*d - 2. Let q be t(6). Let a = q - -12. Is a a composite number?
True
Suppose 4*b + 1477 = 5*b. Is b a prime number?
False
Suppose 0 = 3*w + 4*h - 1396 - 481, 623 = w + 2*h. Is w a composite number?
False
Suppose -3*o = -5*o. Let h = o + 53. Is h a prime number?
True
Let g(b) = b**3 - 1. Let h(a) = -3*a**3. Let m(n) = -2*g(n) - h(n). Let f be m(0). Is 111/3*(-1 + f) prime?
True
Let l(r) = -r**3 + 7*r**2 - 7*r + 9. Let p be l(6). Suppose 5*d = p*q + 2*q + 630, -q + 1 = 0. Is d a composite number?
False
Suppose -5*z = 4*c + 41 + 9, 0 = -z + 4*c - 10. Is 4602/15 - 2/z a prime number?
True
Suppose 0 = 2*i + 2*i + 2*t - 26010, -2*i = -t - 13007. Is i a composite number?
True
Suppose -120 - 1028 = -4*y. Is y composite?
True
Let i be 1 + 3 - (3 - 5). Let g be 6*(2 - 9/i). Suppose 0 = -q - g*q + 236. Is q composite?
False
Is (1/2)/((-3)/6)*-1531 a prime number?
True
Let j = -3 - -7. Suppose -204 = -j*m - 4*p, 0*p = 4*m - 5*p - 168. Is m a composite number?
False
Let u = 15 + 52. Is u a prime number?
True
Suppose 0 = -3*i + 2*i. Let o = -1 - i. Is ((-1)/o + 20)*1 a composite number?
True
Let p(b) = -b - 10. Let x be p(-10). Suppose x = -r - 4*r + 2225. Is r a prime number?
False
Let r(p) = 19*p + 12. Is r(7) a prime number?
False
Suppose -4*b - v + 1 = -20, 5*b = -v + 25. Suppose 0 = -4*g + j - 678, -b*g - 3*j - 688 = j. Let l = g - -297. Is l a composite number?
False
Let n = 11 + -7. Suppose 5*m - 642 = z - n, 3*m + z = 378. Is m a composite number?
False
Let r(o) be the third derivative of -o**6/120 + o**5/30 + o**4/24 - o**3/6 + 2*o**2. Let h be r(1). Is (-1)/((-14)/(-15) - h) a composite number?
True
Let g(l) = -l**2 - 12*l - 10. Let k be g(-11). Let h be k/3 - 16/(-6). Suppose j + 68 = h*j. Is j a composite number?
True
Is (1853 - 9) + 3/1 a composite number?
False
Suppose -y = 2*y - 6. Suppose 334 = -o + y*o. Is o composite?
True
Let y(m) = 26*m**3 + 2*m**2 - 11*m + 6. Is y(5) a composite number?
False
Let v = 3 + -5. Let a be 1/3*(v + -1). Is (a + 0)/((-2)/110) a composite number?
True
Suppose 4*w + 119 = v - 28, -5*v + 4*w + 799 = 0. Is v a prime number?
True
Is (0 + 17)/(19/95) composite?
True
Let u(z) = 2*z**2 - z. Let m be u(1). Suppose 12 + 6 = c + 4*y, 5*c - 5*y - 190 = 0. Suppose m = -t + c. Is t composite?
True
Let d(z) = -58*z**3 - z**2 + 2*z + 1. Let x = 6 - 8. Let p be d(x). Suppose 3*i + 28 = p. Is i a composite number?
True
Suppose 4*g + 4 = 0, -6501 = -4*x - 0*x + 5*g. Suppose p = -3*p + x. Suppose 0*i + 2*i - p = 0. Is i composite?
True
Suppose -3 = -3*z + 6. Suppose 0*u + z*u - 9 = 0. Suppose -v = -3*v - 3*x + 128, -u*v - x + 199 = 0. Is v prime?
True
Suppose 0 = 4*c - i - 965, c + i - 971 = -3*c. Let x = c - 127. Is x a composite number?
True
Suppose 2*k - 1255 = -s, 3*s - 2*k = -6*k + 3759. Is s composite?
False
Let s = 4 - -3. Suppose 3*r - s*r + 100 = 0. Let b = r + -16. Is b a prime number?
False
Suppose 4*a - r = 629, 2*a - 644 = -2*a - 4*r. Is a composite?
True
Let u(i) = 20*i - 9. Let o(n) = -10*n + 4. Let p(a) = 5*o(a) + 3*u(a). Is p(6) a composite number?
False
Suppose 4*u - 12 = 0, 0*b - 2*u - 456 = 3*b. Let z = b + 230. Suppose 4*c - 6*c = -z. Is c prime?
False
Let c(y) = 2*y**2 - 5*y - 6. Let q be c(7). Let v = q - 26. Is v prime?
True
Let m = -6 - -12. Suppose -2*l = -m*l + 32. Suppose -3*s + l*s = 95. Is s prime?
True
Suppose 5*d = d - 20, 12 = -v - 4*d. Let a = -10 + v. Is -2*a/(12/93) a prime number?
True
Suppose 7*q - 3*z + 64 = 2*q, -2*z - 27 = 3*q. Suppose -n + 4*t = -3*n - 32, 2*n - 5*t = -41. Let d = q - n. Is d a composite number?
False
Suppose 105 = 5*p + 4*t - 2*t, -2*p + 36 = 2*t. Is p a prime number?
True
Let i(h) = -h**2 - 8*h + 5. Let u be i(6). Let j = u + 113. Is j a prime number?
False
Suppose 18 + 1 = -2*z - r, -3*r = -5*z - 31. Is (6/z)/(2/(-56)) a prime number?
False
Let k(r) = r*