
False
Let h(f) = -84*f**3 + 7*f**2 + 6*f - 5. Let z(j) = 42*j**3 - 3*j**2 - 3*j + 2. Let t(s) = -3*h(s) - 7*z(s). Is t(-2) a composite number?
False
Is ((-42)/(-10) - 4) + (-79407)/(-15) prime?
False
Suppose -w - 2*y + 4765 = 0, 5*w - y - 3993 = 19788. Is w composite?
True
Let y(t) = 5*t - 3517 + 3530 + 2*t**2 + 5*t + 8*t. Let h = 0 + -10. Is y(h) a composite number?
True
Let c(v) = -v**3 + 15*v**2 - 22*v - 89. Is c(-14) a prime number?
True
Let p = 85 + -82. Suppose p*q - 2199 = 3*z, 2*q + 6*z - z - 1473 = 0. Is q a composite number?
True
Let m = -369 + 537. Suppose 5*s - 154 = 1291. Let v = s - m. Is v prime?
False
Let o be 44/(-6) + (-25)/(-75). Let v = -4 - o. Suppose -1114 = -7*a + 2*a + j, v*j + 666 = 3*a. Is a composite?
False
Is -151881*1*22/(-66) a prime number?
True
Let q = -38309 + 87454. Is q composite?
True
Suppose q + b + 9297 = 4*q, -4*b = 3*q - 9297. Is q a composite number?
True
Let y(t) = 32*t + 28. Let s be y(10). Suppose -70 = 5*c - 3*l - s, 0 = -2*c - 4*l + 106. Is c prime?
False
Let c(i) = 40*i**2 + 31*i + 19. Is c(20) prime?
False
Suppose 236*s + 1367619 = 269*s. Is s prime?
True
Suppose 0 = 3*q - q - 5*h - 847, 2*q + 3*h = 887. Let f be -235*(2/(-1) + 3). Let m = q + f. Is m composite?
True
Let x(c) = 3*c**2 + 8*c + 16. Let r = 12 - 25. Is x(r) a prime number?
True
Suppose -x = -4*x - 372. Let r be (80/15 - 5)*-969. Let j = x - r. Is j a prime number?
True
Let d(c) be the first derivative of c**4/4 + 7*c**3/3 - 11*c**2 - c - 9. Is d(-9) a composite number?
True
Suppose -2*l + 95 = -91. Suppose 0 = -w - 2 + l. Is w a composite number?
True
Suppose 2*a = -2, 2*v - 5*a - 9 = v. Suppose -v*h + 489 - 141 = 0. Is h a composite number?
True
Let l(r) be the third derivative of r**6/40 + r**5/60 - r**4/8 + r**3/6 + r**2. Is l(2) composite?
False
Let q(g) = -4*g - 4 + g + 4*g. Let c be q(4). Suppose 0*s + 4*s - 88 = c. Is s a composite number?
True
Suppose 4*i + 3*f = 4729, 2*i - 1303 = -4*f + 1069. Let a = i - 678. Is a prime?
False
Let k = 6722 - -599. Is k composite?
False
Let z(i) = 286*i**2 + 9*i + 117. Is z(10) a prime number?
True
Suppose 3*v = 2*v + 5*c + 36624, 3*v + 3*c = 109890. Is v a prime number?
True
Let o be 917 - -2*(-3)/3. Suppose o = 4*j + j. Is j*((-56)/12)/(-7) a composite number?
True
Let i(d) = -5589*d - 44. Is i(-5) a prime number?
True
Is 175128/10 - 2*(-1)/10 a prime number?
False
Suppose 3*x + 1 = 7. Suppose 4*c - 8 = -2*l, x*l + 12 = 2*c - c. Suppose -s - c*w - 193 = -2*s, -3*s + 615 = -3*w. Is s a prime number?
False
Let o(s) = -5*s**3 + 2*s**2 - 2*s + 4. Suppose 4*k - 5 = -5*c, -c - 4 - 9 = -2*k. Is o(c) a prime number?
True
Suppose 7*i - 5416 = 4951. Is i a composite number?
False
Suppose -7*y = -5*y - 17996. Is 2*5/(-15) - y/(-6) a composite number?
False
Let r be (-6)/9*1479/(-2). Suppose -342 = -5*h + r. Suppose h = 7*p + 6. Is p a prime number?
True
Let r(d) = 97*d - 9. Let m be (-35)/(-14) + (-3)/(-2). Is r(m) a prime number?
True
Is (5*4/60)/(4/472692) a composite number?
True
Let r(s) = 9*s + 20. Let p(k) = -4*k - 10. Let i(j) = -7*p(j) - 3*r(j). Let m be i(-7). Suppose m*v = -2*v + 4*u + 943, 15 = 5*u. Is v a prime number?
True
Suppose 4*i + 31 = 3*t, -2*i = -4*i + 5*t - 19. Let o(u) be the first derivative of -43*u**2/2 + 1. Is o(i) prime?
False
Let o = 1612 + 333. Is o prime?
False
Let p = -5648 - 228. Is -1 - (p/8 - (-5)/10) composite?
False
Suppose -2*d - 5*x - 8 = 0, -4*d = x + 2*x - 12. Let l = 129 - d. Is l composite?
True
Suppose -3*i + 62497 = -u, 10*i - 5*i + 5*u = 104175. Is i a prime number?
False
Suppose -2*w = 3*y - 30, y - 9 + 32 = 3*w. Suppose -w*f + 4*f = 0. Suppose -1256 = -4*m + v, -v - 4*v = f. Is m a composite number?
True
Suppose -f + 5*j = 22, -3*j = -5*f + 2*j - 10. Suppose 0 = -4*v + 4*d + 16, -4*v + 7 + 4 = -f*d. Is 3*(v + 40/3) a composite number?
False
Let w = 57 + -55. Is (0/2 - -111)/(w + -1) composite?
True
Let q(j) = -j**3 + 21*j**2 + 56*j + 49. Is q(22) prime?
True
Suppose 5388 = 22*x - 1652. Let s be (-9 - 0)/1*-51. Let q = s - x. Is q a composite number?
False
Suppose 4*m - 52107 = -5*i, 2*i = -9*m + 4*m + 65155. Is m a prime number?
True
Let t = -1 + 3. Let f be (1 + 9)*(t - -2). Let c = f + -5. Is c prime?
False
Is 47/(-4*(-6)/408) composite?
True
Let r(z) = 21*z**2 - z - 14. Let w be r(14). Suppose 2*i - w = -6*i. Is i a prime number?
False
Suppose 0 = 2*d - 5*a - 14, 6*d + 5*a = d. Suppose 3*x = d*u - 3320, x + 8295 = 5*u - 4*x. Is u prime?
True
Suppose -2*p + 1654 = 5*d, 2*d + 0*d - 655 = -3*p. Let z be (-240)/(-32)*d/(-6). Is (2 - 1)*z/(-1) a prime number?
False
Let m(s) = s**2 - 6*s - 1. Let q be m(6). Let u(l) = 7*l**2 + 1. Let d be u(q). Let w(c) = 17*c - 5. Is w(d) prime?
True
Let r = 418 - -2469. Is r composite?
False
Let s(q) = 2*q**2 - 3*q - 8. Let t be s(9). Let i = t - 60. Is i a prime number?
True
Let v = -69 + 68. Is 20*14/((-8)/(-4)) + v composite?
False
Let i = 11 + -9. Let b(z) = -5*z - 8 + 9*z**i - 4 - z**3 + 1. Is b(8) a prime number?
True
Let u(i) = -2*i + 25. Let x be u(11). Suppose x*d + 345 = 6*d. Is d a composite number?
True
Suppose -3*j = i - 13, 0*i = i - 3*j + 17. Let v = i + 55. Is v composite?
False
Let n(y) = -8*y + 6*y**2 + 7 - 11 + 21 + 26. Is n(9) a composite number?
False
Let t(h) = 7*h**3 - 2. Let v be t(2). Suppose f - 607 = -4*a, 4*f - v = 2*a - 362. Suppose 4*m + 48 - a = 0. Is m a prime number?
False
Let y = 4127 + -1972. Is y a prime number?
False
Let o(b) be the second derivative of b**5/10 - 5*b**4/12 - 4*b**3/3 + b**2 + 5*b. Let h be o(6). Let q = -117 + h. Is q prime?
True
Let y = -60 + 63. Suppose -4*h + 1099 = y*h. Is h a prime number?
True
Suppose 3*u = 2*c - 291013, -2*c + 18*u - 23*u + 291005 = 0. Is c a composite number?
True
Let v = 16729 + 5242. Is v a prime number?
False
Is 2495582/590 + (4/5)/(-1) a composite number?
False
Is (-446)/(-4) + 11/(-22) a composite number?
True
Let a = 44 - -1043. Is a prime?
True
Let x = 888 - 633. Let j = x + 280. Is j a prime number?
False
Let d(x) = -2*x**3 - 57*x**2 + 77*x - 29. Is d(-38) a composite number?
False
Suppose 0 = 3*t - 5*r - 12229, 2*r - 8503 + 329 = -2*t. Is t a composite number?
True
Suppose 8 = -f - 5*y, -3*y - 9 = -4*f + 5. Suppose 5*q - 2*q = -2*g + 2131, -3*g - f*q + 3189 = 0. Is g prime?
True
Suppose -14*d = -9*d - 10805. Is d a composite number?
False
Let p = 110804 + -44503. Is p a prime number?
True
Suppose 3*q = 3*c - 2100, c = 4*c + 3*q - 2094. Suppose -3*t = -72 + 510. Let g = c + t. Is g a prime number?
False
Let i = -804 - -5687. Is i a composite number?
True
Let v(b) be the first derivative of -b**4/4 + 7*b**3/3 + 7*b**2/2 + 7*b + 2. Let n be v(8). Is (-58 + -1)/(n/1) prime?
True
Let b(a) = -a**2 + 0 - 11 - 4*a + 10*a + 4*a. Let z(u) = u**2 - 9*u + 11. Let i(x) = 7*b(x) + 6*z(x). Is i(10) prime?
False
Suppose -2*s + 487 = -y, 3*y - 6*y + 989 = 4*s. Suppose 2*u + s = u. Let t = 342 - u. Is t prime?
True
Let v = -2256 - -7145. Is v a composite number?
False
Let n be -116 - 0/((-8)/(-4)). Let p = n - -637. Is p a prime number?
True
Suppose -3*w = -5*k + 7, 3*w - 12 - 1 = k. Suppose -2 = -2*c + 2*n, 8 - 24 = 4*c + n. Is (-26)/w*c*17 a prime number?
False
Suppose 41 - 10 = n. Let q(y) = -y**3 + 2*y**2 + 5*y - 7. Let h be q(2). Suppose 0 = -k - h*f + n, 3*k - k - 5*f = 84. Is k a composite number?
False
Is 5*35/25 + -6 + 21700 a composite number?
False
Let s = 170 + -83. Suppose -399 = -2*n - s. Let a = -99 + n. Is a a composite number?
True
Suppose 4*j + 374 = 3*j - 5*p, -3*j - 3*p = 1134. Suppose q - 8 = 3*g - 0*q, 10 = -2*g + 3*q. Is -3*g/(-3) - j composite?
True
Let p be 10/(-14) + 28/(-98). Is (-432)/(-12) + 2 + p composite?
False
Let y = 404 - 397. Let g(p) be the second derivative of p**4/12 - 2*p**3/3 + p**2/2 + p. Is g(y) a prime number?
False
Suppose 4*h + 3 = t - 0, 3*h - 9 = -3*t. Is (-1266)/(-2)*(2 - (-5)/t) composite?
True
Suppose 12 = i - 8. Let m = 18 - i. Is (-37)/m*(-22)/(-1) a prime number?
False
Let h = -6 - -14. Is 28 - (h/(-1 + -3) + 5) a composite number?
True
Let g be (0 - 2) + (6590 - 1). Suppose -238 = 7*a - g. Is a prime?
True
Suppose 17*p - 24*p + 192836 = 0. Suppose -6*k + p - 1922 = 0. Is k a prime number?
True
Suppose -2*p + 2*c + 64383 = -9277, 5*p + 4*c - 184123 = 0. Is p a prime number?
False
Let u = -935