8. Suppose 1791 = z*b + 103. Is b prime?
True
Let j(m) = 112*m**2 - 4*m + 5. Let c be j(2). Let b = 654 - c. Is b a prime number?
False
Let l(v) = -2 - v**2 + 3 + 0. Let h be l(1). Suppose 2*f - 86 = -3*m, -5*f + m - 6*m + 205 = h. Is f a prime number?
True
Suppose -10*b + 10039 = -9*b + 2*k, -20058 = -2*b + k. Is b composite?
True
Suppose -4*u - s + 9 = 0, u - 3*s + 2 = s. Suppose 0 = 5*q + 4*r - 1447, 3*r = u*q + r - 586. Is q a prime number?
False
Suppose 5*h - 26 + 1 = -3*q, 4*h + 4*q - 12 = 0. Suppose -2*z = 3*v - 33 - 25, 4*v + h = 0. Suppose -o = 1 - z. Is o a composite number?
False
Let v(j) = j**3 + 13*j**2 + 6*j + 5. Let r(w) = -w**3 - w**2 - 2*w - 3. Let k be r(-2). Suppose k = -5*h - 30. Is v(h) prime?
True
Suppose l + 4*l = 10. Suppose -924 = -l*u - 320. Let x = -216 + u. Is x a prime number?
False
Let y(k) = 51*k + 12. Let g be y(-10). Let p = -199 - g. Is p a prime number?
False
Suppose -4*u - 11484 = -2*q + 18026, 3*q - 44275 = 4*u. Is q composite?
True
Let r be 3 - (-1 + 1 + 2). Let b = r - -25. Suppose q = -0*q + b. Is q a composite number?
True
Let d = 24 + -22. Suppose 0 = 5*z + 2*g - 1170, -6*z + 2*g + 954 = -d*z. Is ((-6)/12)/((-2)/z) a composite number?
False
Let w(u) = -u**2 + 3*u + 6. Let j be w(4). Suppose -3 = l + 6*i - 4*i, j = -2*l - 3*i. Is 10/l - 85*-1 a prime number?
False
Suppose 5*q = -5*x + 22475, q + 25850 = 5*x + 3351. Is x composite?
True
Let g = 6457 + -131. Is g a prime number?
False
Suppose 0 = -4*w - b + 1, 0 = w - 3*b + 5*b - 9. Let a(x) = -373*x**3 - x**2 - x - 1. Let m be a(w). Suppose 0 = -y - 3*y + m. Is y a composite number?
True
Let u = 1044 + -311. Is u a composite number?
False
Let u(i) = i**2 + 4*i + 2463. Is u(0) a prime number?
False
Let x be (-1)/3*(1 + -7). Suppose 2*n + 2 = -x*w + 6*n, w + 4 = 5*n. Is (-1)/(w/13)*-7 prime?
False
Suppose 6 - 11 = 5*v, -4*v - 31363 = -3*b. Is b prime?
True
Suppose 65468 = 28*n + 8096. Is n prime?
False
Suppose 0 = 2*n - 6 - 2. Suppose -r - 7*s = -2*s - 229, 5*s = n*r - 866. Suppose -3*c + 912 = -r. Is c composite?
True
Let g = 919 - 378. Is g composite?
False
Let m(z) = -z - 5. Let k be m(-6). Let n be (-8 + 9)/(k/2). Suppose 6*d - 4*t = n*d + 472, d + 3*t - 106 = 0. Is d composite?
True
Let f be ((-6778)/(-6))/(4 + 44/(-12)). Suppose r = 2*r - f. Is r prime?
True
Suppose t - 24*o + 19*o = 19392, 4*o + 4 = 0. Is t composite?
False
Suppose 4*y + w + 908 = 0, 0*w = -3*y + 3*w - 666. Is 3 - 4 - 2 - y composite?
False
Let x = -1581 - -3694. Let p = -1380 + x. Suppose 5*f - 802 = p. Is f a composite number?
False
Let i = -33 - -64. Suppose g - i + 9 = 0. Let r = g + -13. Is r a prime number?
False
Let b be (-16)/(-40) - (-8)/5. Suppose -x = b*p - 439, -3*p + x = -0*x - 656. Is p prime?
False
Let n(v) = v**3 - 5*v**2 - 3*v - 14. Let f be n(6). Suppose f*q + 96 = 5*c, -78 = -5*c + 5*q + 17. Is c + -24 - (0 + -19) a composite number?
True
Let n be 4/(-5 + 1 - -2). Let u be 9/n*(-16)/24. Suppose u*r - 11 = -5, t = -4*r + 199. Is t prime?
True
Let q(o) = -o**2 + 2. Let j be q(0). Let u(z) = z - 1. Let t(s) = s**2 - 6*s + 2. Let v(r) = j*u(r) - t(r). Is v(5) prime?
True
Let x(l) = l**3 + l**2 + l + 5. Let r be x(0). Suppose j + 106 = -2*p, -247 - 238 = r*j - 5*p. Let y = j + 177. Is y a composite number?
True
Is (124/6)/((-278)/(-437433)) a prime number?
False
Let l be 2/(12/(-15))*-2. Let z be 3/6 - 3/6. Suppose -65 = -z*b - l*b. Is b composite?
False
Suppose 0 = -4*t - 10 - 10. Let s be (-1516)/t - 12/60. Suppose f - s = -z, -3*z = -10*f + 5*f - 941. Is z composite?
False
Let d be 45*((-21)/15 - -2). Let x(o) = 49*o + 34. Is x(d) a prime number?
False
Suppose 54*i = 690255 + 472311. Is i a composite number?
False
Let b = 3982 + -596. Is b prime?
False
Let k(f) = -f**3 + 4*f**2 + 7*f - 6. Let v be k(5). Suppose -5*i + 5*u = -15, -2*i + 3 = -3*i + v*u. Suppose i*m - 281 = -6. Is m prime?
False
Let l(w) = w**2 + 3*w + 2481. Let x be 0/(-1)*(-1)/(8/2). Is l(x) composite?
True
Let d(j) be the third derivative of -j**4/24 - j**3/3 + 7*j**2. Let x be d(-6). Let i(l) = 4*l**3 - 5*l**2 + 2*l + 3. Is i(x) composite?
True
Let q = 12 - 5. Suppose -3 = -8*s + q*s. Is (-12)/s - (-51 + 1) composite?
True
Let a(i) = -333*i + 7. Let n(x) = -666*x + 15. Let s(w) = 5*a(w) - 3*n(w). Is s(5) a composite number?
True
Let x = 62353 - 43760. Is x prime?
True
Let m(c) = c - 3. Let v be m(5). Let x(q) = 5*q**3 - q**2 - 3*q + 3. Is x(v) a composite number?
True
Suppose -2*q = 2*r - 8, 0 = -3*r + 19 - 4. Is (0 - q) + (548 - -2) prime?
False
Suppose -3*k + l = k - 14857, 0 = 3*k - 4*l - 11133. Is k a composite number?
True
Let t be (5/2 + -2)*-10. Is (-3)/(-3) + t + 515 a prime number?
False
Let l(f) = f**3 - 16*f**2 + 13*f + 25. Let d be l(15). Let t(y) = -5*y**3 - 9*y**2 - y + 4. Is t(d) prime?
True
Suppose -149596 = 2*s + j, 5*s + 3*j + j + 373987 = 0. Is (-2)/(-16) - s/72 prime?
True
Let t(n) = n**2 + 4*n + 5. Let o be t(-4). Suppose -o*q - 5*x + 7800 = -0*q, x = -5*q + 7804. Is q a prime number?
False
Let x = 5847 + -3426. Let q = -10 - -19. Suppose 12*o - x = q*o. Is o composite?
True
Let y(c) = 3*c**3 - c**2 + 4*c - 15. Suppose -7*h - 4 = -53. Is y(h) a composite number?
True
Let p = 61 - 51. Suppose -616 = -p*w + 2*w. Is w a composite number?
True
Let h(t) = -2611*t - 3. Is h(-2) a composite number?
True
Let p = 13487 - -6552. Is p a prime number?
False
Suppose b + 14 = -4*p - b, -2*b + 16 = -p. Is ((514653/p)/19)/((-1)/2) a prime number?
True
Let l(n) = 15*n - 1. Let t be l(5). Let v = t + -37. Is v composite?
False
Suppose 52 = 5*r + 2*l, 2*l = 5*r + 5*l - 48. Suppose -3*n = -r, o + 5*n = 391 + 912. Is o a prime number?
True
Let v = 19666 + -13625. Is v a prime number?
False
Let n(m) = -3*m + 11. Let b be n(3). Suppose -u + 57 = -b*u. Let f = u + 124. Is f a composite number?
False
Let a be 12*(-2 + 20/8). Suppose -4*t = -16, t + 2 = -i + a. Suppose -5*g + 1885 = -i*g. Is g composite?
True
Let a(u) = u - 1. Suppose 3*j - 1 = -4*o, -5*j + 4*o + 55 = -0*j. Let h be a(j). Suppose -2*q - 212 = -h*q. Is q a composite number?
False
Suppose 0 = 4*g - 2*g - 3*j - 14845, -g + 5*j = -7426. Suppose -3*y + g = 938. Is y composite?
False
Let c = 19557 - 7892. Is c a composite number?
True
Suppose 5*g - 49520 = -5*n - 14800, -3*n + g + 20844 = 0. Is n a composite number?
False
Suppose -i + 3*i - 14 = 4*k, 0 = -5*i - 4*k - 21. Let c be (-139)/(0 + -1)*i. Let u = 272 + c. Is u composite?
True
Let j = 12935 + -6804. Is j a composite number?
False
Let p = -2530 + 4073. Is p prime?
True
Let a(g) = 2*g. Let i be a(-11). Is 2/11 + (-3956)/i + -3 prime?
False
Suppose 2*l - 84 = -l - 4*r, 0 = -3*l + 4*r + 84. Let u = -61 - -42. Let f = l - u. Is f a prime number?
True
Let j be ((-3)/18 - 0) + (-309)/(-18). Suppose 5*p + 3468 = j*p. Is p a prime number?
False
Is (675532/(-8))/13*-2 a composite number?
True
Suppose 0 = 8*x + 643 - 16059. Is x a composite number?
True
Let w = 7 - -1222. Is w a prime number?
True
Is -206*(-717)/18*(-21)/(-7) composite?
True
Let b(n) = n - 5. Let y be b(3). Let x(f) = 46*f**2 - 2*f. Let z be x(y). Let d = z + -103. Is d a composite number?
True
Suppose -5*q + 5*w = 15, 0 = -2*q - w + 9 - 3. Suppose -4 = b - q, 0 = -3*r - 3*b + 1338. Is r composite?
False
Let f be (1 - -7)*(-4)/8. Let l = 43 + f. Suppose -5*i + l = -26. Is i prime?
True
Let u = -11160 + 19511. Is u prime?
False
Let k be (-1 + (-4 - -3))/(3/(-6)). Suppose 1713 = 3*y - 2*h, -k*y + 0*h + 2283 = -3*h. Is y prime?
False
Let v(x) = x**3 + 5*x**2 - 15*x - 5. Let z be v(9). Suppose 0*g = -2*u + 2*g + z, 5*u - 2*g - 2491 = 0. Is u a composite number?
False
Let k = -1579 - -2471. Suppose 0*i + k = 4*i. Is i composite?
False
Suppose 0*j + 336940 = 20*j. Is j composite?
True
Let k = -1373 - -735. Let v = -267 - k. Is v a prime number?
False
Let o be (8 - -2)*2/4. Suppose 319 = -w + 2*y, y - 650 = -3*w + o*w. Let j = w + 470. Is j a prime number?
False
Let z(g) be the first derivative of -9*g**2 + 21*g + 2/3*g**3 + 5. Is z(17) prime?
True
Let t(p) = -p**2 - 13*p - 25. Let b be t(-11). Is (b + 2)/(4/(-1604)) composite?
False
Suppose 45*l = 6713 + 63982. Is l a prime number?
True
Let p = -4255 - -7829. Is p composite?
True
Suppose 0 = v + 4 - 5. Let m(t) = t**2 - 1. Let s be m(v). Suppose -n + 14 = p - s*p, -n + p = -24. 