
Let v(r) = 15*r**2 + 5*r + 3. Suppose 5*f - 3*p + 18 = 1, 4*f + 11 = 5*p. Is v(f) a composite number?
False
Let g(j) = -238*j + 135. Is g(-16) prime?
True
Let s(p) = -10*p + 5*p**3 + 3*p - 3*p**2 - 4*p**3 - 4. Let w be s(6). Suppose -5*l = -3*l - w. Is l composite?
False
Suppose 20*b - 23*b = -12. Suppose 2*d = -4*k + 3*k + 1780, 5*d - 4453 = -b*k. Is d prime?
False
Let t(z) = -z**3 + 9*z**2 - 6*z - 15. Let q be t(8). Is 9698/65 - q/5 prime?
True
Let v = 832 - -1671. Is v composite?
False
Is (-7 - 426/(-66)) + 852856/88 a prime number?
False
Suppose 3 = q - 162. Suppose k - 6*k - 3*o + q = 0, 2*k = -2*o + 66. Let f = 496 - k. Is f composite?
False
Let p = -20 - -15. Let g(k) = 11*k**3 + 18*k**2 + 15*k + 18. Let l(q) = 4*q**3 + 6*q**2 + 5*q + 6. Let b(a) = 3*g(a) - 8*l(a). Is b(p) composite?
True
Let g(u) = 87*u + 37. Let l be g(-10). Let v = l + 1420. Is v a prime number?
True
Let y(w) = 12 - 5*w + 4*w + 9. Is y(-16) composite?
False
Let p be 20 + (1 - (7 + -2)). Suppose 5*a + 19 = 4*o, -a - p = -2*o - 5*a. Is o a composite number?
True
Suppose 0 = -3*c - z - 6, 3*c - 2*z + 15 = -6*z. Is c/(-3*5/7365) a prime number?
True
Let j be (-1)/6 - 94/12. Let t = -6 + 12. Is (-692)/j*t/1 composite?
True
Let v be (-2)/5 + 5 + (-22410)/(-25). Let n = -494 + v. Is n a composite number?
True
Let g = 9 + 1. Is 20720/18 - g/90 a prime number?
True
Let c be 92*1/((-12)/(-9)). Let t = -112 - c. Is -10 - t - (-1 + 3) a composite number?
True
Suppose 2*n + 6 - 38 = -5*o, 0 = 3*n - 2*o - 48. Let h = n - 14. Is (h - 2) + 31 + 0 composite?
False
Let p(b) = -b**3 - 9*b**2 + 6*b - 5. Let f be p(-5). Let x = -243 + 436. Let h = x + f. Is h a prime number?
False
Let r(i) = -130*i - 21. Is r(-7) composite?
True
Let x = 1105 - -1462. Is x a composite number?
True
Let y = -1064 - -1652. Let h = 1037 - y. Is h prime?
True
Suppose -13266 = -9*k + 286443. Is k a composite number?
False
Let k = -11 - -3. Let a be (-9)/(-2) - k/(-16). Suppose 4*y + 3*c - 1563 = -341, a*y + 2*c - 1224 = 0. Is y a composite number?
False
Suppose 3*k = -3*r + 106731, -3*r - r = 12. Suppose -10*g + k = 2*g. Is g a composite number?
True
Let x(i) = -271*i + 8. Let p(m) = 270*m - 7. Let u(y) = -6*p(y) - 5*x(y). Is u(-3) a prime number?
True
Suppose -4*x = 4*d - 64, 0*x + 5*d = 3*x - 32. Suppose -x*r = -15*r. Suppose -5*v + 2*a + 2605 = r, 3*v - v - 1028 = -2*a. Is v prime?
False
Suppose 3*y - 8125 - 4598 = 0. Is y/4 + (-9)/(-12) a prime number?
True
Suppose 2307 = 8*t - 1229. Suppose t = l + l. Is l a prime number?
False
Is (3/9)/(31/3854199) a composite number?
False
Suppose -4 - 1 = -5*d. Let r(c) = -2*c - 1. Let l be r(1). Is (l + 1 + d)*-15 a prime number?
False
Suppose 5*x - 4790 = -2*y, -4*y = -2*y + 4*x - 4792. Let w be y/(-9) - 5/15. Let d = -14 - w. Is d a composite number?
True
Let y(q) = -384*q + 245. Is y(-24) a prime number?
True
Let a(g) = 5750*g - 59. Is a(11) a prime number?
False
Let j = 101 - 89. Is 2541/12 - j/16 composite?
False
Suppose -6*b + 218 - 80 = 0. Suppose 0 = b*s - 20*s - 6927. Is s a composite number?
False
Let m be -1 - (-2)/(4/34). Suppose m + 231 = v. Is v prime?
False
Is (27 + -33)/(3/(-743)) composite?
True
Let t = -26 - -14. Let o be (-40)/t*3/2. Suppose r = 4*v + v + 205, v + 929 = o*r. Is r prime?
False
Is (-782)/4*(-15 + 13) prime?
False
Let a = 48 + -43. Is 974/((-10)/(0 - a)) composite?
False
Suppose -b = -4*l - 797, -5*l - 609 = 4*b + 361. Let f be 44/(-6)*l/3. Suppose -2*a + 6*a - f = 0. Is a a prime number?
False
Let g = 50 - 20. Suppose -2*n - 3*n = -g. Suppose 5*s = n*s - 21. Is s a composite number?
True
Suppose 7*b = 63*b - 4026512. Is b a prime number?
False
Suppose 4*f - 20 = 0, -3*c = -6*f + 3*f - 19032. Is c a composite number?
True
Suppose 27 = 5*u + 202. Let i = 141 + u. Is i prime?
False
Let a be (-511)/(-49) - 6/14. Let p = 14 - a. Suppose -4*s - 63 = -5*f, -3*f - p*s + 51 = -6. Is f prime?
False
Let l = -2213 + 3519. Suppose -a = 3*k - 4*k - 258, -k = -5*a + l. Is a a prime number?
False
Let a = -24660 - -95909. Is a a composite number?
False
Suppose -n + 34 = 3*a, a + 2*n - 8 - 5 = 0. Suppose -a*g - 612 = -2405. Is g prime?
True
Suppose 4*r - 12401 = -0*d + 3*d, 4*r - 12400 = 4*d. Is r a composite number?
True
Suppose 0 = 27*r + 9*r - 32796. Is r a prime number?
True
Let w be 4/(-14) + (-330)/(-77). Is -2859*(26/(-39))/(w/2) composite?
False
Let g = 77 + -144. Is g/(-2)*(-42)/(-3) a composite number?
True
Let k(h) = 53*h - 30. Let r be k(-5). Is (r/(-2) + 4)*(-10)/(-3) a prime number?
False
Let y = -4 - -5. Let g(a) = 149*a**2 - 1. Let p be g(y). Suppose p = 7*m - 3*m. Is m a composite number?
False
Suppose -y + 20 = -4*m, 0 = -3*y + 5*m + 10 + 22. Suppose y*k + 143 = 3*v, 4*v - k = 3*k + 184. Let f = v - 18. Is f prime?
True
Is (7/(-1) - -4) + (-6284)/(-2) composite?
True
Is (6737/(-4) - 6)*-4 prime?
True
Suppose 0*m - 6*m = -192. Suppose -b + 24 = -m. Is 816/(-64)*b/(-6) prime?
False
Suppose 21 = -19*b + 22*b. Suppose -b*q + 2*q - 6141 = -4*t, 5*q = -5*t + 7620. Is t a prime number?
False
Suppose 7 - 6 = c, 5*c - 3319 = -2*n. Is n prime?
True
Let c(h) be the third derivative of 41*h**6/720 + h**5/30 + h**4/12 - 4*h**2. Let i(o) be the second derivative of c(o). Is i(3) prime?
True
Let r = 303 - 176. Is r a prime number?
True
Let f(c) = 22*c**2 - 5*c + 55. Is f(12) a composite number?
False
Let t = -61479 - -150956. Is t prime?
True
Suppose 2*t = 3266 + 3214. Let o = 7508 - t. Suppose -5*b + o = -1797. Is b prime?
True
Let g(a) = a**2 + 6*a - 5. Let f be g(-7). Is (-4 + f)/(8/(-9716)) a composite number?
True
Let n = 29 - -180. Let p = 208 + n. Is p composite?
True
Suppose -n - 3*w + 9 = 0, -4*n - 2*w = -0*n - 6. Let b(a) = 109 + a + 0*a + a**2 - 2*a - a**3. Is b(n) a composite number?
False
Suppose -9*v + 4*s + 48048 = -5*v, 4*v - s = 48033. Is v a prime number?
True
Let a(b) = 167*b**2 + 19*b + 1. Is a(4) a composite number?
False
Let z(c) = -c**3 - 3*c**2 + 2*c - 2. Let n be z(2). Is (254/6)/((-6)/n) a composite number?
False
Suppose -19*t = -24*t + 35515. Is t composite?
False
Suppose 0 = q - 3, -5*u + 3*u = -q - 7493. Suppose -13*c + u = -9*c. Is c a prime number?
True
Is (-1)/(-5) + (-1601342)/(-265) composite?
False
Let m(k) = k - 6. Let d be m(9). Suppose 0 = -d*b + 923 + 700. Is b prime?
True
Suppose -h - h = -3*w - 167, 2*h = 2*w + 110. Let d = w - -108. Is d a prime number?
False
Let n(c) = -3*c**3 + c**2 - 6*c + 4. Suppose -g + 4 + 0 = 0. Let k be n(g). Let m = k + 383. Is m a prime number?
False
Let h = -9 - -6. Let z be (-5 + 8)*h/(-9). Is 3270/5 - (z - 0) a prime number?
True
Let s = 166 + -112. Is 26634/s - (11/9 - 1) a composite number?
True
Is 55763 + ((-6)/(-3) - 7) + 5 prime?
True
Let x(t) = 97*t + 8. Let p be (-2 - -3) + (15 - (-5 + 3)). Is x(p) composite?
True
Let u(m) = -16*m - 92. Let g be u(-6). Suppose 0 = -4*b + 4*i + 1600, -i - g - 1 = 0. Is b composite?
True
Let r(i) = -i**2 + 29*i + 18. Let w be r(15). Let u = w + -109. Is u a composite number?
True
Is (-3 - -3)/(4/(-2)) - -20959 prime?
True
Let x(y) = -y**3 - 3*y**2 - 2*y + 1. Let w be x(-3). Let g = w + 3. Is (2149/2)/(g/20) a prime number?
False
Let u be (8/6)/((-3)/(-450)). Suppose 62*i - 1710 = 56*i. Let h = i - u. Is h a composite number?
True
Let z(f) = -f**3 - 16*f**2 + 18*f + 19. Let c be z(-17). Suppose -4*r = 3*j - 25404, -2*r + 4*r = -c*j + 12700. Is r/(-27)*(-6)/4 a prime number?
True
Let z(u) = 9193*u - 67. Is z(2) a composite number?
True
Suppose 29*n - 1248725 = -56796. Is n prime?
False
Let i(n) = -96*n**2 + 2*n - 1. Let l be i(1). Let t = l - -298. Is t prime?
False
Let b(z) = z**3 + 2*z**2 + 5*z + 11. Let f(t) = t**2 - 13*t - 23. Let x be f(15). Is b(x) prime?
True
Let w(k) = 1632*k - 73. Is w(7) a composite number?
False
Suppose 204 = w - 234. Suppose 68*q - 604 = 72*q. Let d = q + w. Is d composite?
True
Let p(a) = 93*a. Let g(f) = 62*f. Let v(z) = 8*g(z) - 5*p(z). Let k be v(5). Let s = 66 + k. Is s composite?
True
Suppose z - 5*k = 669, k = 5*z - 3*z - 1302. Is z a composite number?
True
Suppose 0 = -7*r + 8*r - 137. Let t = r + -76. Let d = t - -82. Is d a composite number?
True
Let j = -6012 + 15283. Is j prime?
False
Suppose 15 = 4*p - 17. Suppose -7*m - 5 = -p*m. Suppose -m*w + 395 = 4*j, 2*j + 73 + 85 = 2*w. Is w composite?
Fal