 m - -17. Suppose -5*h + t*i = -1427, -1425 = -5*h + 4*i + i. Is h a prime number?
False
Let r = -54 + 52. Is ((-1535)/10)/(r/4) prime?
True
Let m(f) be the third derivative of f**5/60 - f**4/24 + 7*f**3/6 + 2*f**2. Suppose a - 29 = 4*h + 2*a, -4*h = 3*a + 23. Is m(h) prime?
True
Let f(a) = -4*a**3 + 5*a**2 + 3*a + 13. Let h(k) = -k**3 - k + 1. Let p(t) = f(t) - 2*h(t). Is p(-7) a prime number?
True
Let f(k) = -11 - 132*k + 35*k - 86*k. Let n be f(-6). Let r = n + -756. Is r composite?
False
Suppose -6*n + 0*n = -78. Suppose -n*f + 572 = -9*f. Is f a composite number?
True
Let i(l) = l**2 - 3*l - 6. Let x be i(6). Let c(n) = -79*n + 14. Let z be c(x). Is 1/(-2 + z/(-466)) a composite number?
False
Suppose -4*s - 3 + 1 = 2*u, -u - 4*s + 9 = 0. Let a(o) = 6*o**2 + 7*o + 2 - 18*o + 8*o. Is a(u) a prime number?
True
Suppose -5*h + 2*d + 72247 = 0, 5*h - 25769 = 4*d + 46470. Is h prime?
False
Let c(b) = -2*b**3 - 27*b**2 - 26*b + 43. Is c(-18) composite?
True
Let t(x) = -2*x + 3. Let a be t(3). Let l = a - -7. Suppose 3*j + 3 = l*j, -234 = -3*v - j. Is v prime?
False
Let l(c) = c**2 - 7*c - 6. Let z be l(6). Let s be -2 - (-2)/(-3)*z. Is (s/(-18))/((-2)/582) a prime number?
True
Let m = -68 + 63. Let h = 53 - m. Is h composite?
True
Let x(b) = -b - 1. Let i be x(-6). Suppose 194 = j + i*n, 2*n - 284 = -5*j + 617. Is j prime?
True
Suppose 5*g = -5*j - 10, 2 = -j - 4*j - 3*g. Suppose 5*p = 37 + 83. Suppose -j*f - 6 = -p. Is f a composite number?
True
Suppose 10622 = 3*h + 3*r + 2723, -3*h - 5*r = -7899. Is h prime?
True
Is 3/2 + 14014/28 composite?
True
Suppose 2*f + 0*v - 25 = 5*v, 12 = -4*v. Suppose 0*l = 5*q + l + 3, -4*l + f = 3*q. Is 100 - (2 - (-2 - q)) composite?
False
Let k = 21 + -32. Let c(m) = -m**3 - 10*m**2 + 11*m + 4. Let n be c(k). Suppose 0 = -n*s + 2720 - 12. Is s composite?
False
Let u be (2 + -2 + 0)/(3/(-3)). Suppose -g - 4*s = -415 + 98, u = -4*s + 8. Is g a composite number?
True
Suppose 5*i + 1 - 36 = 0. Let z(n) = n**3 - 3*n**2 + 15*n + 10. Is z(i) a composite number?
False
Let a(y) = -10 - 2*y**3 - 6*y**2 - 2 + 0*y + y**3 - 8*y. Let b be a(-5). Suppose 3*p - 758 = -5*u, -6*p - b*u + 756 = -3*p. Is p a prime number?
True
Suppose 5*h = 3*w + 46072 - 5787, -5*h + 40285 = 5*w. Is h a composite number?
True
Let n be 1 - (4/6)/((-4)/24). Let k(p) = 16*p**2 + 3*p + 4. Is k(n) prime?
True
Let b = 10776 - 7511. Is b prime?
False
Suppose 58*j = 52*j - 24. Let i(w) = w**3 + 4*w**2 - 3*w - 1. Is i(j) prime?
True
Let h = 47 + -44. Suppose 3265 = 5*g + h*x, -5*g + x - 5*x + 3265 = 0. Is g a prime number?
True
Suppose 4*m + 2*m = -120. Is 6666/15 + (-12)/m composite?
True
Suppose -y + i = -0*i - 10, -i + 14 = 3*y. Is y - 49/7 - (-711 - -1) a composite number?
False
Suppose 48 = 5*g - 3*p, -g + 2*p + 2 = -9. Let f(s) = -10*s**2 + 0*s**3 + s**3 + 24 + 8*s - 12. Is f(g) a composite number?
False
Let r(b) = b**3 + 59*b**2 + 41*b + 10. Is r(-21) composite?
False
Let r(h) = 46*h**2 - 30*h - 41. Is r(-34) a prime number?
False
Let l = -118 + 79. Let g = l + 122. Is g a composite number?
False
Suppose 0 = -7*q + 22*q - 82635. Is q prime?
False
Suppose -2487 - 2384 = -l - 2*b, -b - 9742 = -2*l. Is l a prime number?
True
Let u be -1 + 7 - (5 - 5). Let g(i) = 9*i**2 - 4*i + 22. Let y(d) = 4*d**2 - 2*d + 11. Let l(p) = 3*g(p) - 5*y(p). Is l(u) a prime number?
True
Suppose 3*s + 4 = -2*u, 5*s - 30 = 2*u + 2*u. Let i be (2 - 4) + s + -4. Is -1*4/(i/139) composite?
False
Let q = 11637 + -5740. Is q a composite number?
False
Let j(f) = f**3 + 6*f**2 - 11. Let r be j(-5). Suppose -r*x + 11041 = -5073. Is x composite?
False
Suppose 1990 = 7*p - 4233. Is p a composite number?
True
Let a = -6 - 0. Let r(m) = -m**3 - 7*m**2 - 8*m - 6. Let k be r(a). Suppose -k*j + 768 + 1074 = 0. Is j composite?
False
Is ((-2832)/84)/(2/(-7)) a composite number?
True
Let o = -7 - -15. Let d be (o/2)/(-1)*-293. Is ((-1)/2)/((-2)/d) a prime number?
True
Let t be (12 - 8)*(-1)/2. Is ((-265)/t)/(13/26) a prime number?
False
Let y = -142 + 144. Suppose 0 = -23*r + y*r + 11361. Is r a composite number?
False
Suppose 16*h - 12*h = 36. Suppose h*u - 434 = 7*u. Is u composite?
True
Let b(x) = -x**2 + 7*x + 6. Let u be b(7). Let n(q) be the second derivative of -q**5/20 + 7*q**4/12 + 5*q**3/6 - q**2/2 + 3*q. Is n(u) a composite number?
True
Suppose 0 = -5*y - 745 - 490. Let k = y - -432. Is k composite?
True
Is (-8)/(-48)*-6*-33403 prime?
True
Let w = -1506 + 7183. Is w a composite number?
True
Let c = 1959 - 266. Is c prime?
True
Let u be 3/(12/(-52)) + -2. Let b = u - -18. Suppose 1876 = b*a + a. Is a a composite number?
True
Let v(m) = 1 + 12 - 26*m + 30*m - 34*m. Is v(-5) a composite number?
False
Let q(w) = -255*w - 475. Is q(-6) prime?
False
Let n(x) = 2*x**2 - 3*x - 1. Let d(q) = q**2 - 7*q - 4. Let i be d(8). Suppose i*s - 4*r = 12, 4*s + 5*r = 29 + 1. Is n(s) a composite number?
True
Let f = 8261 + -5431. Let l = f + -1275. Is l a prime number?
False
Let n(g) = -g**2 + 8*g - 12. Let a be n(4). Let d(j) = 3*j**3 - 6*j**2 + 7*j - 9. Is d(a) a composite number?
True
Let b(o) = -o**2 + 7*o + 2. Let x be b(4). Let j = -12 + x. Suppose z = 2*l + 79, -5*l - 240 = -j*z - z. Is z prime?
False
Let r = -16938 - -27887. Is r a composite number?
False
Suppose 0 = 3*n + x + 26, 3*n - 2*x = 2*n - 11. Let i(r) = -196*r + 19. Is i(n) prime?
True
Suppose -2*j - j + 9 = 0. Let c be 32914/35 - (-1)/(-10)*4. Suppose c = p + j*p. Is p a prime number?
False
Let a be (-12)/(-8) - (-2)/4. Suppose 4*q + 24 = -3*x + 668, 5*x = -a*q + 336. Is q + (-9)/((-6)/2) composite?
True
Let h = 463 - 296. Let s = -40 + h. Is s a composite number?
False
Let f be -2 + 1 - (3 + -7). Suppose 0 = -n - 3 - f. Is (5/4)/(n/(-48)) prime?
False
Let b(u) = -u**3 - 12*u**2 - 10*u + 15. Let l be b(-11). Let f be 40/(l - 223/56). Suppose 3*x = 2*v - 1123, 2*v - 4*x - f = -2*v. Is v composite?
False
Let w(m) = -m**3 + 45*m**2 + 34*m + 2. Is w(39) a prime number?
False
Let k(l) = 1. Let p(r) = 50*r - 4. Let f(y) = -2*y - 13. Let a be f(-7). Let o(m) = a*p(m) + k(m). Is o(13) a prime number?
True
Let a(d) = 8 + 131*d - 27*d - 5*d + 146*d. Is a(3) a composite number?
False
Suppose a + 7 = 3*x - 14, 2*a = 0. Suppose -2412 = -x*p + 6*p. Let c = -1421 + p. Is c a composite number?
False
Suppose 3*h - 3530 - 2317 = 0. Is h prime?
True
Let i(d) = 711*d**2 + 5*d - 3. Is i(4) composite?
False
Suppose 0 = 4*l + 4*z, -3*l - 5 = 4*z - 0*z. Let h be (-338)/((2/4)/(-1)). Suppose h = l*a - 379. Is a prime?
True
Let h(t) = -3*t**2 + 10*t - 15. Let b be h(6). Let u = b + 604. Is u composite?
False
Suppose 0 = -4*f + 2*f - 12. Let h(u) = 11*u**2 + 10*u + 9. Let z be h(f). Suppose 5*j = -4*k + 460, -5*k + 2*k + z = -j. Is k a prime number?
False
Let k be (-8)/(-6)*(-12)/(-4). Let a = 7 + k. Suppose 0 = 4*i - 5*i + a. Is i a prime number?
True
Let o(q) be the first derivative of 277*q**3/3 + q - 2. Let i be o(1). Suppose 5*g = 3*k + 732 + i, 781 = 4*g + 3*k. Is g prime?
True
Suppose -4*t = 3*t + 7. Let a(m) = 2187*m. Let p be a(t). Let s = -1478 - p. Is s a prime number?
True
Let y(j) = -213*j + 89. Is y(-6) prime?
True
Suppose 0 = 4*x + 8097 - 43333. Is x composite?
True
Suppose 12*k = 13*k + 24. Let b = -20 - k. Suppose 5*d + 5 = 2*l - 7, b*d - 8 = 0. Is l a composite number?
False
Let p be (1 - -4)*18/30. Suppose -473 = -p*q + 4*o, 0 = 5*q - 4*q - 5*o - 154. Is q composite?
True
Let b(m) = m**2 - 13*m + 2. Suppose -5*t = -10*t - 35. Let d be b(t). Let w = d + -9. Is w composite?
True
Let r(w) = 10423*w + 3. Let p be r(-1). Is ((-4)/(-10))/((-8)/p) a composite number?
False
Let x = 22 + -6. Suppose -4 = 4*l - x. Suppose -2*b = 3*b + 20, -l*k + 561 = 3*b. Is k composite?
False
Is ((-971)/(-4))/(9594/504 - 19) a prime number?
False
Suppose 4*a = 2*d + 118, 4*a + 30 = -5*d + 113. Suppose 2*i + i - a = 0. Suppose 8*o - i*o + 82 = 0. Is o composite?
True
Suppose -2*o = 5*r - 191 + 728, 0 = -2*r - 4*o - 202. Suppose -7*n = 39*n - 7728. Let h = r + n. Is h a composite number?
False
Let c(d) = d**3 + 7*d**2 + 5*d - 2. Let v be c(-6). Suppose 9430 - 2058 = v*p. Is p a prime number?
False
Suppose 0*v + 2*y = -4*v + 24, 4 = 2*y. Let q be ((-2404)/v)/((-12)/30). Suppose -2*r + q = 4*k, 0*k - 5*k = -2*r + 1184. Is r a prime number?
False
Suppose -63851 = -4*