k(2). Let n = 11 + s. Suppose -n*g + 27 = -12. Is g a composite number?
False
Let w = -9 - -15. Suppose 0 = -5*m + w*m - 187. Is m composite?
True
Suppose 3*z - 4401 = 1446. Is z prime?
True
Suppose 12*u - 28291 = -2143. Is u composite?
False
Let v(b) = -b**2 + 9*b + 8. Let j be (15/6)/5*14. Let w be v(j). Let u = w - -9. Is u composite?
False
Let k(a) = a**3 + a**2 + a - 1. Let s be k(0). Let c be s/(1*2/(-4)). Suppose c*n = -11 + 49. Is n a composite number?
False
Let t(n) = 2*n**2 + 15*n - 19. Is t(10) prime?
True
Let f(r) = r**3 + 6*r**2 + 5*r + 3. Let n be f(-5). Let z(i) = 35*i. Let t be z(n). Suppose 2*o - t = -o. Is o a composite number?
True
Let k be (-4)/10 + (-44)/(-10). Let q = k - -105. Let z = q - 62. Is z composite?
False
Suppose -1757 = 4*s - 11*s. Is s composite?
False
Suppose s = 5*s - j - 11066, 0 = -s - 5*j + 2777. Is s a composite number?
False
Is ((-29)/(-4))/((-39)/(-6708)) prime?
False
Suppose 0 = -0*x + 5*x + 5. Let h be (-2 + 0 + -96)*x. Let k = -39 + h. Is k prime?
True
Let g(i) = 26*i + 1. Let o be g(9). Let d be 86/18 - (-36)/162. Suppose -d*w = -6*w + o. Is w a composite number?
True
Suppose -3*h = 29 - 113. Suppose -a = a - h. Let x = a - -285. Is x a prime number?
False
Is (-2)/(8/(-12)) + 52 a prime number?
False
Let y be ((-3)/2)/((-1)/(-332)). Is (-9)/63 - y/7 a prime number?
True
Suppose 4*r = 3*l + 20, 2*l + 15 = 2*r + r. Suppose 12*s - 10 = 7*s. Suppose -s*b + 266 = -l*b. Is b a composite number?
True
Suppose b = 2*o - 43, -6 = o - b + 6*b. Suppose i - 12 = o. Is i a prime number?
True
Let l be 4/10*(50 + 0). Suppose o - l = -h, -h - 26 = 2*o - 65. Is o a prime number?
True
Let f(i) = i**2 + 4*i - 1. Is f(14) composite?
False
Suppose -2*t = -732 - 26. Is t a composite number?
False
Let q be (-1 - -546)*(-24)/(-20). Suppose 4*v = -j + q, -3*v - 3*j + 495 = -0*j. Is v a prime number?
True
Suppose 5*f - 1485 = 120. Suppose -5*g = f - 1391. Is g prime?
False
Let r = -178 - -107. Let m = r + 124. Is m prime?
True
Suppose -3*t - 3*q + 401 = t, -2*t = 2*q - 198. Suppose 0 = -b + 2, 2*z - 3*z - 45 = -5*b. Let i = z + t. Is i a composite number?
True
Let s be (-2 + 1)/1 - -879. Suppose y = 0, -2*h - 5*y = -4*h - s. Let x = 624 + h. Is x composite?
True
Suppose 2*s - 4*s = -10. Suppose 3*y = 1 + s. Suppose -b + 225 = y*i, -i - 2*b = 2*b - 109. Is i a prime number?
True
Let x = -319 + 476. Is x a composite number?
False
Suppose -n + 85 = -5*m, 6*n = m + 4*n + 8. Let v be (2/(-6))/(3/m). Suppose -5*o = -22 + v. Is o composite?
True
Suppose 2*n = -3*n. Suppose -i + n*i = -x, 0 = x - 5. Suppose -m + 272 = i*b, -18 = -b - m + 34. Is b a composite number?
True
Let c be 9 + -1*2/2. Suppose y = -3*h + 16, -y + c = h - 0*y. Is 831/27 + h/18 prime?
True
Let b = -105 - -372. Is b prime?
False
Is 6/(-2) + -5 + 282 a composite number?
True
Let g = -125 + 271. Let m = -183 - -84. Let h = m + g. Is h composite?
False
Suppose -2*d + 4 = 2*m, 0 + 20 = -4*m + 3*d. Let w = -5 + m. Let q(o) = -o**3 - 7*o**2 - 4*o - 5. Is q(w) composite?
False
Let k(c) = c**2 + 9*c - 9. Let q(l) = -l**2 - 14*l + 14. Let m(b) = 8*k(b) + 5*q(b). Is m(5) prime?
True
Let s(r) be the first derivative of r**4/4 - 5*r**3/3 - 4*r**2 + 9*r + 3. Is s(7) a prime number?
False
Suppose -37 = 5*w - 2*f, 3*w - f + 2*f + 20 = 0. Let p(b) = 9*b**2 + 4*b + 6. Is p(w) prime?
True
Is 1 - 3/5 - (-165)/25 a prime number?
True
Let i = 53 - 34. Is i a composite number?
False
Let a be (-3)/15 - 202/(-10). Suppose 5*k + a = 0, -w + 2*k - 102 = -6*w. Is w prime?
False
Let y(t) = -9*t - 3. Let u be y(-3). Let a(j) = 0 + 4 - 3 + u*j. Is a(2) composite?
True
Suppose 0 = 2*n - 4, 0*n + 4*n = -5*p + 5303. Is p a prime number?
False
Suppose 0 = -p - 68 + 2. Let w(h) = -h**3 - 13*h**2 + 13*h - 15. Let v be w(-14). Is v/(p/(-68) + -1) a prime number?
False
Let q(o) be the second derivative of -o**5/10 + o**3/6 + o**2 + 15*o. Let l = 7 + -10. Is q(l) a composite number?
False
Suppose 80 = 4*r + r - 4*s, 4*s = -3*r + 16. Suppose 5*x - 4*j = 12, -3*x + 0*x - 15 = 5*j. Suppose x = 3*z - 8*n + 3*n + 6, n = -3*z + r. Is z composite?
False
Suppose 0*k = 5*k - 185. Is k a composite number?
False
Let x = 1390 + -885. Is x prime?
False
Let k = 40 + -14. Suppose c - v = k - 1, -c + 33 = 3*v. Is (c/(-15))/(1/(-5)) composite?
True
Let p = 20 - 13. Suppose -3*u - p + 166 = 0. Is u a prime number?
True
Let v = -235 + 486. Is v prime?
True
Suppose 0*a - 12 = 4*a. Let s = a + 5. Let d = 5 + s. Is d a prime number?
True
Let t = -164 + 313. Is t a prime number?
True
Suppose 5*o - 7*o = -348. Suppose 3*w - 3*c - o = 0, 2*w - 5*c - 69 = 62. Is w composite?
False
Let a = -369 - -104. Let t = -138 - a. Is t a prime number?
True
Let n = 403 + -108. Is n a composite number?
True
Let l(p) be the first derivative of p**6/360 - p**5/24 + p**4/24 + p**3/3 - 1. Let q(f) be the third derivative of l(f). Is q(6) a prime number?
True
Let y(b) = b**3 + 3*b**2 - 4*b - 4. Let r be y(-4). Is (3/r)/(2/(-88)) composite?
True
Suppose -8*s = -6*s - 1466. Is s a prime number?
True
Suppose 12 = i - 0. Is (6/i)/(1/106) a prime number?
True
Let r = -257 - -515. Let c = r + -101. Is c a composite number?
False
Suppose -2*b + c - 12 = 3*b, -3*c = 9. Let m be b/18*-3*46. Let n = m + 86. Is n prime?
True
Is (1 + (-12)/9)/(2/(-2154)) a composite number?
False
Let j(r) = r - 46. Let a be j(0). Let c = -24 - a. Is c composite?
True
Let l be 1 + 1 - 20/5. Let k be l/(2 + (-12)/5). Suppose k*t - 110 = 155. Is t a composite number?
False
Let l be (-13)/(-52) + (-7)/(-4). Suppose 3*z + l = 41. Is z a composite number?
False
Suppose -b = -0 - 6. Is 218/b*(4 - 1) a prime number?
True
Suppose -3*s + 3 = 4*l - 2*s, 3 = 5*l + s. Suppose 4*m + l*m = 316. Is (1 - (-2 - -2))*m prime?
True
Is (-4)/(-4 - -4 - 4/14) a prime number?
False
Suppose -5*z + 2*x - 497 = 0, x = -4*z - x - 394. Let s = 176 + z. Is s composite?
True
Suppose -4 - 4 = -2*n. Let s(a) = -9*a - 8. Let l(y) = 8*y + 7. Let q(i) = n*s(i) + 5*l(i). Is q(4) prime?
True
Suppose -479 = -5*s + 266. Is s composite?
False
Suppose -3*j = -233 - 16. Is j a prime number?
True
Suppose -2*d = -6*d + 528. Suppose d - 369 = -3*h. Is h prime?
True
Let t = 2658 + 49. Is t composite?
False
Let t be 8/36 + (-418)/18. Let u = 68 - 45. Let r = u - t. Is r a composite number?
True
Let f(t) = -t**3 - 3*t**2 + 4. Let j be f(-3). Suppose n + 9 = j*n, -2*n + 121 = q. Is q a composite number?
True
Suppose 6*s - s - 31 = -4*t, -5*t = -2*s - 14. Let j be (6/8)/(s/12). Let c = j + 11. Is c prime?
False
Suppose 3*o + 286 = 4*n, -3*n - 40 = o + 77. Let s = -31 - o. Is s a prime number?
True
Let i = -13 - -6. Let d = i + -3. Is 4/d - 447/(-5) a prime number?
True
Let f(d) = d**3 + 5*d**2 + 2. Let l be f(-5). Let x(s) = -3*s - 3. Let r be x(-4). Suppose -r = l*t - 35. Is t prime?
True
Suppose -59*l = -64*l + 2290. Is l a prime number?
False
Let l(i) = -i**3 + 5*i**2 - 2*i - 3. Let k be l(4). Let u be ((-140)/(-2))/((-10)/(-25)). Suppose -u = -7*p + 2*p - k*g, 0 = 2*p + g - 68. Is p a prime number?
False
Suppose 5*r = p - 3*p - 8, 3*p + 12 = 2*r. Let y(j) = 25*j**2 - 5*j - 5. Is y(p) prime?
False
Let i = 25 - 30. Is 42 + i/(10/6) prime?
False
Let c(x) = -903*x**2 + 5*x - 2. Let j(z) = -452*z**2 + 2*z - 1. Let m(n) = -2*c(n) + 5*j(n). Let y be m(-1). Is (3 - 1)*y/(-10) a prime number?
False
Suppose 6*f + 5*g - 727 = 2*f, -3*g = -9. Is f composite?
True
Let d = -3 + 4. Is (-58)/4*(-7 + d) a prime number?
False
Suppose -t = 2*l - 197, 0 = 4*t + 5*l - 0*l - 779. Is t a composite number?
False
Suppose -3*v - 3*v + 4926 = 0. Is v composite?
False
Let i = 85 - -28. Let n = i - 78. Is n a prime number?
False
Let j be (-1195)/(-7) - 4/(-14). Suppose j = 2*c - 117. Let o = c - 67. Is o a composite number?
True
Suppose 0 = -q + 5, -5*f - 3*q - 25 = q. Is (195/f)/(2/(-6)) prime?
False
Let i(j) = 10*j**2 + 2*j + 38. Is i(-7) composite?
True
Let k = 377 - 228. Is k composite?
False
Let n = -3 + 3. Suppose 4*m + 40 = -n*m. Is (-2)/5 + (-374)/m a composite number?
False
Suppose -j = 6 + 1. Let s = j - -15. Suppose -2*q = -20 - s. Is q a prime number?
False
Suppose 0 = -2*m - 6 + 2. Let n be ((-3)/6)/(m/(-4)). Let a(j) = 35*j**2. Is a(n) prime?
False
Let k be (-1061)/4 - (-5)/20. Let t = 516 + k. Is t prime?
True
Let h(p) = -205*p*