- 382. Suppose -l = -0*l - n. Is l composite?
True
Let f(q) = -83*q**3 + 2*q**2 - q - 1. Is f(-2) composite?
False
Let a(j) = -3*j**3 + 8*j**2 - 8*j - 4. Is a(-9) prime?
True
Let g(m) = -m**2 + 11*m - 8. Let t be g(10). Suppose 0 = t*j - 3*i - 183, -j + 5*j = 2*i + 354. Is j a composite number?
True
Is ((-30)/45)/(2/(-3501)) prime?
False
Let y(i) = 3*i**2 + 3*i - 7. Let x = 13 - 19. Is y(x) composite?
False
Is 67*((-3)/(-1))/3 a composite number?
False
Suppose -q = 2*n - 128, 0 = -2*n + 3*q - 58 + 170. Suppose 3*t - n = 103. Is t a prime number?
False
Suppose -4*g = -0*g. Suppose -4*m + 0*l = 3*l - 466, -3*m - 4*l + 353 = g. Is m a prime number?
False
Let b(m) = 77*m**3 + 4*m**2 + 5*m - 3. Let l be b(-4). Is l/(-12) - 4/16 a composite number?
True
Let f be -4 - (4/(-2) - -1). Let d be -1*(0 - (f - -2)). Is d/4 - 58/(-8) a prime number?
True
Suppose -2*p = p - 1311. Is p composite?
True
Suppose -13*k = -17*k + 844. Is k a prime number?
True
Let m(j) be the third derivative of j**7/1260 + j**6/360 - j**5/60 + j**4/12 + 2*j**2. Let h(l) be the second derivative of m(l). Is h(-5) composite?
True
Suppose -5*m + 233 = -92. Suppose -2*n = -10, -2*x + n + m + 96 = 0. Is x composite?
False
Let i = 77 + -10. Is i a prime number?
True
Suppose -3*q = -2*o + q + 106, 2*o - 5*q - 106 = 0. Is o a prime number?
True
Suppose -2*f - 2*f - 3*r = -7, 5*f + 5*r = 10. Suppose -9 - f = -2*w. Is (-486)/(-10) + 2/w prime?
False
Let n(d) = d**3 + 6*d**2 + 3*d + 3. Let c be n(-5). Suppose o - 18 - c = 0. Is o prime?
True
Let m(b) = 2*b**2 - 4*b + 1. Suppose 2*j - 10 = -4*w + 8, -3*w + 21 = 4*j. Suppose 3*g - 3*x - 6 = 0, 34 = -w*g - 2*x - 3*x. Is m(g) prime?
True
Let x = 56 + -42. Is x composite?
True
Suppose -482 + 47 = -5*w. Is w*((-6)/(-3) - 1) a composite number?
True
Let r(t) = 367*t**2 - 3*t + 11. Is r(2) a prime number?
False
Let g be 2/(6/3)*5. Suppose 3*w = 3 + 3. Suppose -w*j + g = -7. Is j a composite number?
True
Let f be 5/(-2) - (-3)/(-6). Let u(j) = -10*j**3 + 4*j**2 + 5*j + 4. Is u(f) composite?
True
Let q(b) = -8*b**2 + 4*b - 6. Let i be q(5). Let o = i - -319. Is o a composite number?
True
Suppose 3*l - y - 5343 = 0, 2*l + 2*l - 7126 = 2*y. Let m = l + -1060. Suppose x + 2 = 3*x, -5*o + m = -5*x. Is o a prime number?
False
Let j(h) = -5*h**3 - 17*h**2 - 14*h - 13. Is j(-11) a prime number?
False
Let d(o) = -45*o**2 - 2*o + 3. Let n be d(2). Let c = 458 - n. Suppose -v + 6*v = y + c, 0 = -5*v + 3*y + 647. Is v a prime number?
True
Let y be (6 - -1) + (-3)/1. Suppose 2*l + 3*k - 9 = -0*k, -2*l + 11 = k. Let z = y + l. Is z prime?
False
Let t be (-28)/21 + 1/3. Is 933/6 - t/(-2) prime?
False
Let m be 2863/(-14)*(0 - -84). Is m/(-15) - 1/5 a composite number?
True
Suppose 7 = -3*g - 4*a + 16, g = -2*a + 1. Is g/2*(21 - -1) a composite number?
True
Let g = -1765 - -2604. Is g composite?
False
Let p(f) be the third derivative of -1/6*f**4 - 4*f**2 + 0 + 0*f - 1/60*f**5 + 1/2*f**3 + 1/24*f**6. Is p(2) a prime number?
True
Let r(q) = q**3 - 9*q**2 + 7*q + 8. Suppose -7 = -j + 1. Let i be r(j). Is (i + -1 + 6)*3 a composite number?
True
Let x = -17 + 35. Let q = -7 + x. Let w = 18 - q. Is w a composite number?
False
Let i = 101 + -197. Is 0/7 - (1 + i) a prime number?
False
Let u = 71 - 36. Suppose 5*m - o + u = 0, 19 = -4*m - 0*o - o. Is 3 + 71 - m/(-2) a prime number?
True
Let l be (-2)/13 - 2400/(-52). Let t = l + -24. Is t a composite number?
True
Suppose 4*k - 1026 = 5*j - 0*k, -3*k = -12. Let h = -115 - j. Is h a prime number?
False
Let h = -4 - -3. Let f be (0 + h)*(-658 - -4). Suppose -w = u + 4*w - 126, 5*u + w = f. Is u prime?
True
Let c = 9 - 9. Suppose -x - 2*x + 267 = c. Is x a composite number?
False
Suppose 5*n - 3*n - 2*v + 8 = 0, 3*n - 5*v = -22. Let i = 112 - n. Is i a prime number?
False
Suppose 117 = 2*d - 413. Is d prime?
False
Let g(i) be the first derivative of -56*i**2 - 17*i - 7. Is g(-6) prime?
False
Let r = 258 + 225. Suppose 5 = -j - 9. Is (-28)/6*r/j a prime number?
False
Let y = -307 + 572. Is y composite?
True
Let h(f) = 2*f + 5. Let l(x) = -x. Let m(g) = -h(g) + l(g). Let q be m(-5). Is 7/4*(q + 2) composite?
True
Let t = 34 - 22. Is (t + -1)/(-1)*-1 a composite number?
False
Suppose 962 = 2*q - 536. Let f = q + -270. Is f composite?
False
Let s be 1*(-18)/(1 + -3). Suppose -15 - s = -3*p. Is 3/12 - (-534)/p composite?
False
Let v = 0 - -7. Let z = 12 - v. Suppose i + 624 = 4*u, -3*i - 767 = -z*u - 5*i. Is u prime?
False
Let b(i) = i**3 + 6*i**2 - i + 7. Let k be b(-5). Let d = k + -10. Suppose 85 = 3*z - 2*s, -3*s = -z - 2*s + d. Is z a composite number?
False
Let k(q) = q**3 + 10*q**2 - q - 2. Let b be k(-10). Is b/20 - (-1329)/15 a prime number?
True
Suppose -5*j + 5 = -10. Let h(a) = -5*a + 4*a - j - a. Is h(-11) a prime number?
True
Let h be (-94)/(-18) - (-2)/(-9). Suppose 0 = h*r - z - 22, 2*r + 3*z = 7*r - 26. Is r a prime number?
False
Let z(t) = -t + 1. Let w(o) = -2*o - 3. Let c be w(-4). Suppose -3*x = 3*h + 33, -c*h + 5 = -2*x + x. Is z(x) prime?
True
Let b(m) be the first derivative of 25*m**4/4 + m**3/3 - m + 2. Let f be b(1). Is ((-26)/(-5))/(5/f) a prime number?
False
Suppose 3*m + 31 = 130. Is m a prime number?
False
Suppose 0 = 3*a - 8*a + 5, -5*i - a + 46 = 0. Is (-981)/6*(-6)/i prime?
True
Let p(f) = -f**2 - 14*f + 7. Let o be p(-8). Let l = 86 - o. Is l a prime number?
True
Let u = -896 - -1547. Suppose u = -0*j + 3*j. Is j prime?
False
Let y = -14 - -6. Is y/12 - (-466)/6 a composite number?
True
Suppose 9 = 3*u, -3*k - 3*u = -8*u + 9. Suppose 0 = -2*r + k + 6. Let z(t) = 12*t + 5. Is z(r) a composite number?
False
Suppose -2*o = -4, -2*k - o = -2*o - 1880. Is k a composite number?
False
Let i(k) = 159*k**2 + 27*k + 5. Is i(-7) a composite number?
False
Is (-5)/(((-3470)/(-865) + -4)/(-2)) a prime number?
False
Let u(l) = l**3 + 21*l**2 - 12*l - 25. Is u(-18) prime?
True
Let x(t) = -t + 5. Let l(o) = 3*o - 11. Let c(f) = -2*l(f) - 5*x(f). Is c(-6) composite?
False
Let v = 0 + 3. Suppose -v*n = 2*n - 20. Suppose 11 = n*p + d - 211, 5*p + d = 277. Is p a prime number?
False
Is -2 + 2045 + (-10)/(-5) a composite number?
True
Suppose -f + 2*f - 1285 = 0. Is f a prime number?
False
Let w(g) = -11*g**3 + 11*g**2 + 21*g - 12. Is w(-7) a prime number?
True
Suppose 0 = 4*g - 129 - 1415. Suppose 5*p - g = 59. Is p composite?
False
Let s(h) = h**3 + 5*h**2 - 6*h + 5. Let b be s(-6). Suppose r = -b*r + 2382. Is r prime?
True
Suppose 22 = 3*c + 1. Suppose m - 3 - 1 = -u, 2*m = -u + c. Suppose 5*r - 4*y = 15, m*y = -5*r - 2*y + 15. Is r composite?
False
Let u be 8004/(-8)*4/(-6). Suppose 5*z = t + 1765, -392 = -3*z - 4*t + u. Let q = -168 + z. Is q prime?
False
Suppose -2*a - 2*a = -148. Is a a prime number?
True
Let l(f) = -6*f**2 + 5*f + 30*f**2 - 4 + 10*f**2 + 0. Is l(3) composite?
False
Let i(g) be the first derivative of 5*g**3 - g**2/2 + g - 5. Is i(3) a composite number?
True
Let s(p) = -5*p**2 + 2*p. Suppose -3*v = 2*v + 10. Let q be s(v). Let k = 38 + q. Is k a composite number?
True
Let x(y) = -y**3 + 12*y**2 - 13*y + 15. Let n be x(11). Is 1*17 + 4 + n prime?
False
Let s be 5 + (2/1 - 1). Let t be ((-4)/s)/(1/(-18)). Is (t/(-8))/(2/(-4)) a composite number?
False
Suppose -q + 5*q = 1676. Is q composite?
False
Let z be 513/4 - 9/(-12). Is z + -4*2/4 composite?
False
Let q = 25 + -20. Suppose q*g - 15 = 0, -v + 65 = -3*g - g. Is v composite?
True
Let r = -7 - -15. Suppose -11 = -4*i + u, -2*i + r = 2*i - 4*u. Suppose 6 = -2*h + 3*a, -i*a - 13 = h - 7*a. Is h composite?
False
Suppose 5*k - 2*k = 24. Let i(a) be the third derivative of a**4/24 + a**3 + 2*a**2. Is i(k) a composite number?
True
Let k = -206 + 491. Let n = k + -136. Is n a prime number?
True
Suppose -8*r = -5*r + 12. Is (133/r)/((-1)/4) composite?
True
Suppose -r = -0*r + 4*y - 3, 2*y = 0. Suppose r*s = -2*s + 265. Is s composite?
False
Let u be 18*5/((-45)/(-6)). Suppose -u = 3*a - 6*a. Suppose -3*q - a*d + 126 = 0, -4*d + d = q - 47. Is q composite?
True
Let x = 15 - 9. Suppose -n + x*n = 2585. Is n composite?
True
Let g(v) = -3*v**2 - v + 2. Let u be g(2). Let d = -8 - u. Suppose -d*b - 2*a = -90, 5*a = -3 - 2. Is b a prime number?
True
Is (-9406)/(-10) + (-4)/(-10) a composite number?
False
Let j(m) = -m**3 + 25*m**2 - 31*m + 1. Is j(22) pri