- 1. Is b(-6) a prime number?
True
Let h = -1 - -2. Suppose -y = -2 - h. Suppose -3*s - 88 = -2*p, 0 = -y*p + 7*s - 2*s + 131. Is p a composite number?
False
Suppose 2*b + 18 = 160. Is b prime?
True
Suppose i - 13 = -6. Is i composite?
False
Let l(z) = -z**2 - 6*z - 1. Let q be l(-5). Let u = 19 - 16. Suppose u*x + q*m = 173, 224 = 4*x - 0*m + 2*m. Is x a prime number?
False
Let y = 8 - 4. Suppose -2 + 6 = y*r. Is (-26)/4*(-14)/r a prime number?
False
Let w(x) = -x + 1. Suppose -4*f - s + 6*s = 21, -2*f - 2*s = -12. Let p be w(f). Suppose p = -2*g + g + 91. Is g a prime number?
False
Suppose 0 = 4*i + 20, 0 = -4*p + 3*i - 4*i + 71. Suppose 5*j = -5*x + 11 + p, 22 = 5*x - 3*j. Suppose x*y - 267 = 2*y. Is y a prime number?
True
Let p = -1299 - -1890. Is p a prime number?
False
Let z(u) = u**2 - u + 1. Let t be z(-4). Suppose 60 = 3*g - g. Let c = g + t. Is c a composite number?
True
Is ((-652)/(-5) + 0)*250/100 a prime number?
False
Suppose -7*a + 129 = -4*a. Let x = a + -24. Is x a prime number?
True
Let o = 7 + -3. Suppose 794 = o*j - 18. Is j a prime number?
False
Let j(p) = 2*p + 1. Let l be j(-3). Let b = l + 7. Suppose 5*i + 3*d - 155 = 0, -3*d = b*d. Is i composite?
False
Suppose -4*t - l = -280, t = 4*t + l - 211. Is t composite?
True
Suppose 5*f - 51 = -3*y, 2*f = 7*f - y - 43. Is f prime?
False
Suppose 6*i = 5*i + 54. Let n = 131 + -40. Let j = n - i. Is j a composite number?
False
Let y be 1*(-4 + 1) + 11. Suppose 3*i - y = 4*x, -4*i + x - 4*x = 31. Let w = 15 + i. Is w prime?
True
Let d = -28 + 104. Let m be (-4)/1*(-14)/(-8). Let o = d - m. Is o composite?
False
Suppose -5*q + 46 + 29 = 0. Suppose 3*h = v - 7, q = -3*h - 2*h + 5*v. Is 1/2 - 51/h composite?
True
Let t be (2 - -1)*4/6. Suppose t*g = -6, -2*b - 4*g = g - 1267. Is b a composite number?
False
Suppose 14 = -2*a - 66. Suppose 26 = -q - 0*q. Let c = q - a. Is c a prime number?
False
Let z(a) be the first derivative of a**4/4 - 5*a**3/3 - a**2 + 5*a - 2. Let h be z(5). Is (-30)/4*4/h composite?
True
Let w = 248 - 119. Suppose 1541 = 4*k + w. Suppose 91 = -2*p + k. Is p prime?
True
Let y(u) = u + 6. Let x be y(6). Suppose 5*d - d - x = 0. Suppose -d*m - 3 - 3 = 0, -2*m = -3*j + 25. Is j prime?
True
Let l(a) = a**2 + a - 5. Let q(x) = 3*x**2 + 4*x + 2. Suppose 3 = -2*t + b - 2, 4*b - 8 = 2*t. Let p be q(t). Is l(p) a composite number?
False
Let k be (369/6)/((-1)/2). Let f = k + -15. Let x = f - -217. Is x composite?
False
Let r(h) = h**3 - 5*h**2 + h - 3. Let x be r(5). Suppose -5*i = -x*i - 6, 0 = 5*b - 3*i - 184. Is b a prime number?
False
Suppose 5*t - 3*n + 0*n - 19 = 0, 2*t - 4 = 3*n. Suppose -4 + 0 = -2*u, t*u = 2*p - 60. Is p a prime number?
False
Let f be 2/(-2) + (-3 - -6). Suppose 30 = 5*n + 3*a + 2*a, 5*a = f*n + 9. Suppose 2*v + n*p = p, -2*v = 3*p + 3. Is v prime?
True
Let j(o) = -o**2 + 4*o. Let s be j(3). Suppose q - 2*q = s*w + 345, 0 = -4*w + 3*q - 447. Let x = -61 - w. Is x a prime number?
True
Let b = 1508 - 918. Suppose -5*i + 3*i = -b. Suppose -6*q = -q - i. Is q prime?
True
Let a(r) = 13*r + 11. Let k be a(-5). Let u = k - -113. Is u composite?
False
Is ((-11)/(-2))/(10/2020) a composite number?
True
Suppose 1 = -m - 8. Let l(h) = -h**3 - 6*h**2 + 9*h - 7. Is l(m) a prime number?
False
Suppose 9*w = 4*w. Suppose 2*j + w = -l - 3, -5*l + 11 = -3*j. Is 1/(l*(-1)/(-19)) a prime number?
True
Let w(r) = r**2 - 9*r + 6. Let n be w(9). Let o be 2*((-75)/(-2) + 0). Suppose -n*f = -f - o. Is f a composite number?
True
Let x = -1 - -3. Suppose -3*v = 12, t + v = 5 - x. Suppose 0 = 5*r - t - 8. Is r composite?
False
Let w be (-4)/(-6) - (-182)/6. Suppose w = s - 7. Is s a composite number?
True
Let z(i) = i**3 + 6*i**2. Suppose c + 1 - 3 = 0. Let n = -3 - c. Is z(n) a composite number?
True
Suppose -4*r - 132 = -2*x + 46, -4*r = -4*x + 336. Let h = x - 54. Is h prime?
False
Let f = -1 - 1. Let m be (-55)/f + (-1)/(-2). Suppose 0 = -5*x + o + 5 + 29, -2*x = -4*o - m. Is x composite?
True
Let l(n) = -n**3 + 5*n**2 + 5*n + 3. Let g be l(6). Let u = -4 - g. Is (0 - (2 + u)) + 24 composite?
False
Suppose -h + y = 1, 0 = 3*y - 3. Suppose -l + 4*l = h. Suppose v + 9*w = 4*w + 37, l = 4*v + 3*w - 148. Is v a prime number?
True
Let n(d) = -4*d**3 + 4 + 5*d**3 - 4*d**2 - d - 1. Let x be n(4). Is x/(0 - -1) + 48 prime?
True
Let x be (6 - 3)*29 - 2. Let z = x - -30. Is z a prime number?
False
Let g(f) = 8*f + 3. Is g(2) composite?
False
Suppose 3*l = 906 + 531. Is l composite?
False
Let b = -3183 - -5662. Is b prime?
False
Let v = 120 + -203. Let q = -44 - v. Is q a composite number?
True
Suppose 7*k - 103 - 1710 = 0. Is k a composite number?
True
Suppose 0*w + 2391 = 5*v + 2*w, 0 = -v + 4*w + 487. Is v prime?
True
Let m(o) = -o**3 + o**2 + o + 19. Suppose 14 = 3*d - 1. Suppose -3*p + 2*p + 25 = d*c, 2*p - 10 = -2*c. Is m(p) a prime number?
True
Let i = -469 - -732. Is i a prime number?
True
Is 30/(-12)*932/(-10) prime?
True
Suppose 0 = -4*j - 3*h + 7*h - 24, -3*j + 10 = 4*h. Let c(g) = -9*g + 1. Is c(j) a composite number?
False
Let b be ((-6)/5)/((-1)/20). Suppose -5*k - 5*q = -380, -54 = -k + q + b. Is k a prime number?
False
Let j(l) = -3*l**2 + 4*l**2 - 2 - 8*l + 3 - 8*l. Is j(18) prime?
True
Let r be (-8)/(-6) + 6/9. Suppose 0 = r*j - 10 - 108. Is j a composite number?
False
Let h = -3 - -7. Suppose -5*j = -h*a + 66, 0*a - a + 15 = -2*j. Suppose 0 = l + 3*k - 24, -k - a = -l + k. Is l a prime number?
False
Let t be (3/(-2))/((-6)/(-8)). Let k = -2 - t. Suppose -4*x + 23 + 37 = k. Is x a prime number?
False
Suppose -4*h = -13398 + 4666. Is h a composite number?
True
Let h = 118 - -271. Is h prime?
True
Let l be -1*3 + (4 - 5). Let m(k) = -2*k**3 - 5*k**2 + 3*k + 1. Is m(l) a composite number?
False
Let v be (27/12)/((-2)/8). Let k = 37 - v. Is k/6 + (-2)/3 a prime number?
True
Let r be (-2)/2 - (1 + -20). Suppose 2*l + 120 = 4*w, 5*w + l + 0*l = 143. Let f = w - r. Is f composite?
False
Let w = 17 + -8. Suppose w = 4*q - q. Suppose -2*x = -q*x + 2. Is x composite?
False
Let t(o) = 4*o - 25. Is t(28) prime?
False
Let c(z) = -z + 1. Let o be c(1). Suppose 2*n + n - 159 = o. Is n a composite number?
False
Let m be -3 - (-2 - -1 - 0). Let s be 7 + (m + 3)*-2. Suppose 2*x + 17 = 2*b + 5, -4*x = s*b - 39. Is b composite?
False
Suppose 10*i - 7*i = 348. Let t(l) = 38*l + 1. Let m be t(-1). Let f = i + m. Is f a prime number?
True
Is 15/3*42 - -1 composite?
False
Let z(d) = -d**2 + 1. Let h be z(0). Let l(c) = 98*c**2 + c. Let j be l(h). Is j/2 + 1/(-2) composite?
True
Suppose -h - 3*v + 25 = -2*v, -3*h - 2*v + 71 = 0. Is h composite?
True
Let y = -4 - -6. Suppose y*s = b - 17, 95 = 5*b - b + s. Is b composite?
False
Let d(y) = y**2 - 3*y - 4. Suppose 0 = 2*z - 8. Let s be d(z). Suppose 0 = 4*n + 4*v - 200, 2*n - 5*v + s*v = 107. Is n a composite number?
True
Let o(y) = -9*y**3 + 6*y**2 + 4*y - 2. Is o(-5) a composite number?
True
Let j(b) = b**3 + 11*b**2 - 3*b + 3. Suppose -7 = -2*u + 3*u. Let f be j(u). Suppose w - 171 = -3*q - q, 5*w + f = 5*q. Is q composite?
False
Let c(q) = 1196*q + 3. Is c(1) a prime number?
False
Let g(d) = 9*d - 5. Is g(6) a composite number?
True
Let r be ((0 - -3) + -4)*-5. Suppose c + 4 = r. Is 1 + -2 + (c - -13) a composite number?
False
Suppose 0 = y + 3*u - 6*u - 3, -y - 5*u = -3. Suppose p - 187 = -3*c, 0 = -c - y*c - 4*p + 252. Is c prime?
False
Suppose -4*q + 9 - 1 = 0. Let z be ((-18)/8)/(q/8). Is (-169)/z + (-4)/(-18) prime?
True
Let m be (-4 - -6)/((-2)/(-6)). Is (-106)/4*m/(-3) prime?
True
Let d = 1 + -4. Let u = d - -7. Suppose 3*o + l - 47 = 0, 0 = -u*o + 2*o - 3*l + 43. Is o a prime number?
False
Let j be ((-31)/3)/(2/(-60)). Let k = -183 + j. Is k prime?
True
Suppose -2*w - 2*y + 4 = 3*w, 0 = -4*w + 2*y + 14. Let h be (-4)/14 + 5/(-7). Is w*h*31/(-2) composite?
False
Suppose 2*m = 5*z + 321, 0*z = 4*m - 2*z - 650. Is m prime?
True
Is 259/(-2 + 3) + 3 a prime number?
False
Let g(y) = -y**3 - 6*y**2 - 3*y - 11. Is g(-9) a composite number?
True
Let v = 7 + -7. Let h be 4 + -2 + v + 2. Suppose -2*m = 2*g - 71 - 63, -2*g + h*m + 122 = 0. Is g composite?
True
Suppose 4*f + 4*b - 3398 = 1038, -5553 = -5*f - 3*b. Suppose -3*v + 0*v = -f. Is v a prime number?
False
Let x = 742 - 237. Is x prime?
False
Let h be (-1312)/6 - (-8)/12. Let g = 