- 9. Let a = 12 + -12. Let q = a + 6. Is w(q) a prime number?
False
Let k = -36 - 9. Let i = 78 - k. Is i a prime number?
False
Let i(a) = 1515*a**2 - 2*a + 1. Is i(1) composite?
True
Suppose 2*k - 48 = -t - 6, 3*k = -3*t + 69. Let h = -15 + k. Suppose -5*o + h = -v, -4*o + 52 = 2*v - 2*o. Is v a prime number?
False
Suppose -8 = -2*f + 6*f. Let m be 328 + 4/(-4) - f. Suppose 6*h = 3*h + 5*q + m, -h = -2*q - 108. Is h composite?
True
Let t be (22/(-11))/((-2)/5). Suppose c = f + 36, t*c + f - 75 = 3*c. Is c a prime number?
True
Let y be (-1)/(-2)*2 - -1. Let m(j) = 44*j**3 + y*j**3 - 1 - 2*j**3 + 3*j**2 - 2*j. Is m(2) composite?
False
Is 5 - (0 + (-5 - 1077)) composite?
False
Let g(w) be the third derivative of -w**6/120 + 7*w**5/30 + 7*w**4/12 - 19*w**3/6 + 12*w**2. Is g(-8) a composite number?
False
Let g = -1654 + 3215. Is g a prime number?
False
Is (-71 + 72)*1*16223 a prime number?
True
Suppose 4*c = 34 - 14. Suppose a - 1711 = 5*b + 5*a, c*a + 1037 = -3*b. Is 4/(-3)*b + -3 prime?
True
Suppose 0 = 4*a - 3*p - 2381 - 1606, 2*a - p - 1991 = 0. Suppose -a = -7*b + 4*b. Is b a composite number?
False
Suppose -4 = -3*d + 2. Is (199*4)/d + 2 + -5 a prime number?
False
Let c(y) = y**2. Let g(n) = -6*n**3 + 7*n**2 - 10*n + 1. Let o(u) = -3*c(u) - g(u). Is o(7) a prime number?
True
Let t(o) be the first derivative of -o**3/3 + 4*o**2 - 10*o + 5. Let r be t(6). Suppose -3*u = 3*c + r*c - 117, -8 = -2*u. Is c prime?
False
Suppose 68*w + 6020 = 70*w. Is w/12 - (-2)/12 a prime number?
True
Let v(t) = 2*t**3 - 3*t**2 + 2*t - 2. Let p be v(6). Is -2 + (p - (2 - 1)) prime?
True
Let l(y) = 4*y**2 - 3 - 11*y**2 - y**3 + 12*y**2. Let m be l(5). Let h(v) = -v**3 + 3*v + 1. Is h(m) prime?
True
Let j be (-411 - 3) + (-1 - -1). Is (j/15)/((-8)/20) composite?
True
Let l(z) = 815*z**2 + 6*z - 1. Is l(2) a prime number?
True
Let z(g) = 7 - 6*g + 3 + 7 + 2*g. Is z(-18) a prime number?
True
Is (700 - -87)/((-2)/(-26)) a composite number?
True
Let a(m) = -m**3 + 56*m**2 + 99*m + 53. Is a(49) prime?
False
Suppose 0 = -2*t + 4, -1 = a - 3*t + 2. Suppose -4861 = -5*j - 3*h, a*j + 3*h - 815 = 2104. Is j prime?
True
Let n(s) = 539*s + 8. Is n(11) prime?
False
Suppose 7*o - 3*o - 2931 = c, 0 = 3*o + 5*c - 2181. Suppose -2*m + o = -682. Is m composite?
True
Suppose 0 = 2*h + 5*m - 38, -4*h - 3*m + 39 + 9 = 0. Suppose -2*j - h = -5*j. Suppose 2*y = j*y - 57. Is y a prime number?
False
Let k = 10214 + -5145. Is k a prime number?
False
Suppose 175*z = 179*z - 240. Let l = 2 - -2. Suppose 4*d - d = 3*u - z, -u + 15 = l*d. Is u a composite number?
False
Is (-1)/6 - 2474889/(-522) prime?
False
Let k(w) = 87*w + 2. Let g(l) = -l + 11. Let r be g(9). Let q be k(r). Suppose 5*n + q = 4*f - 0*n, n = -4*f + 200. Is f composite?
True
Let t(s) = 424*s**2 + 8*s + 13. Let j(k) = k**3 + 9*k**2 + 10*k + 14. Let y be j(-8). Is t(y) a prime number?
True
Suppose 77*k + 7*k - 183876 = 0. Is k a composite number?
True
Let g = 4864 - 2087. Is g prime?
True
Let f(a) = -a**3 - 4*a**2 - a - 2. Let l be f(-4). Let t(r) = -2*r - 23. Let z be t(-19). Is l/(-6) + 2150/z composite?
True
Suppose 0 = 2*v + 3*a - 51791, 4*v + 52*a = 56*a + 103552. Is v a composite number?
True
Let q be (4 + -5)*1*-134. Is q + -1 + 12/(-6) a composite number?
False
Let b = -43858 + 73461. Is b composite?
True
Let n be (24/(-18))/(4/(-42)). Is 6710/n + 50/(-175) a composite number?
False
Let y = -327 + 2936. Is y a prime number?
True
Let l(h) = 4*h**3 - 16*h**2 - 12*h + 13. Is l(10) composite?
False
Let r = 67 - 59. Suppose -r*x + 3*x = -22735. Is x prime?
True
Suppose -2*a - 2*m + 536 = -3*m, 1346 = 5*a - 4*m. Let h(y) = y**3 + 9*y**2 - 11*y + 3. Let w be h(-10). Suppose -w*c + a = -11*c. Is c prime?
False
Suppose 553*f - 560*f = -45598. Is f composite?
True
Let a(v) = 630*v**3 + v**2 + 6*v - 6. Let l(r) = -1260*r**3 - 2*r**2 - 11*r + 11. Let u(f) = -11*a(f) - 6*l(f). Is u(1) a prime number?
True
Let o(f) = -10*f**3 - 22*f**2 + 6*f + 27. Is o(-8) prime?
True
Let c(o) = -o**2 - 10*o - 20. Let n be c(-6). Suppose n*y - 8*y + 10316 = 0. Is y a composite number?
False
Let t(u) = -8*u**3 - 10*u - 3. Let a(w) = 9*w**3 - w**2 + 11*w + 4. Let z(d) = 4*a(d) + 5*t(d). Is z(-6) composite?
False
Suppose 5*h = 3*h + 2. Is (h - 1/(2/4))*-641 composite?
False
Suppose -i + 4*n + 3915 = 0, 7810 = 4*i - 2*i + 2*n. Is i a composite number?
False
Suppose 2*d + 18223 = -3*w + 63498, 60405 = 4*w - 5*d. Is w prime?
False
Suppose -6*l + 3*l = -5*z + 9329, -4 = -2*l. Is z a composite number?
False
Suppose 8*r = 2443 + 26301. Is r composite?
False
Let r be ((0/(-1))/(-4))/3. Suppose r = 3*v, 0*h = 2*h + 2*v - 2242. Is h a composite number?
True
Let k = 620 - -27. Is k prime?
True
Let n = 45 + -25. Suppose -n = -3*o - o. Let b(h) = 37*h**2 - 6*h - 6. Is b(o) a prime number?
False
Is 428/5 - -12*(-9)/180 prime?
False
Let r(u) = 5*u**3 - 4*u**2 + 11*u + 13. Let z be r(-6). Is z/(-4) - 9/36 a composite number?
True
Let x be (-51)/(-12) - 2/8. Let y(t) = 9 + 0*t**2 + 7*t - 5 + t**2 + x. Is y(-6) a composite number?
False
Suppose 282 + 140 = 4*z + c, -5*z + 5*c + 540 = 0. Let i = -34 - -38. Suppose -2*j - i*p + z = 0, -3*j + 5*p = -41 - 129. Is j a composite number?
True
Let h(x) = -204*x**2 - 4*x - 3. Let y(q) = 409*q**2 + 9*q + 7. Let t(i) = -5*h(i) - 2*y(i). Is t(-1) prime?
False
Let o(g) = -g**2 - 9*g + 3. Let u(k) = 7*k - 20*k - 2*k**2 - 6*k - 3 + 9. Let p(w) = 7*o(w) - 3*u(w). Is p(-6) prime?
True
Let v(b) = 5*b**2 + 14*b + 3. Let k be v(10). Let y = 1422 - k. Is y a composite number?
True
Let j(c) = 2*c**2 - 5*c + 8923. Is j(0) a prime number?
True
Let j = 12 + -12. Let o be (3/(-1))/9*-15. Suppose -2*m + 0*m + o*l + 162 = j, -3*l + 12 = 0. Is m composite?
True
Let o be -6 + 3 - -1*6. Suppose -k - 591 = -o*z + 199, 5*z + 5*k = 1350. Is z a prime number?
False
Suppose -60 = -3*g - 6. Let i = g - 14. Is (121 - 8/i) + -1 composite?
True
Suppose y + 2*d - 35 = 4, -4*d = 5*y - 171. Is y a composite number?
False
Let z(j) = 973*j**2 - 9*j + 7. Is z(5) composite?
True
Let s(u) = 51*u - 17. Let p be s(3). Suppose 2*g = -o - 0*o + p, 0 = -4*o + 8. Is g a composite number?
False
Is (-9406)/(-6) - ((-17)/(-3) + -5) a prime number?
True
Let c = 4623 - 2592. Suppose 2*g = 3*n - c, -2*n + 1370 = -0*g + 4*g. Is n prime?
False
Let r be (-15 + 3)*5/(-10). Let i(o) = 24*o**2 + 5*o - 17. Is i(r) prime?
True
Suppose 0 = l + l - 12. Let x be (-39)/(-26)*3764/l. Suppose 634 = 2*s + 5*y - 5, -4*y = 3*s - x. Is s prime?
True
Let h be (-8)/(-28) - 57027*2/(-14). Suppose -5*d + 2*r + h = 0, 3*d - 2715 - 2190 = -3*r. Is d a composite number?
True
Suppose 3*t - 16*t + 191321 = 0. Is t a composite number?
False
Suppose -4*c - 13 = -1. Let q(v) = -11*v - 15*v + 1 + 12*v - 38*v. Is q(c) composite?
False
Suppose q - 6*q + 10 = 0. Suppose q*s - 2163 = 289. Is s prime?
False
Suppose 4*y - 1050 = -y. Let g = y - -43. Is g a prime number?
False
Let s(t) = t**3 - 5*t**2 + 7*t - 9. Suppose -2*u = -u - 30. Suppose -16*i = -11*i - u. Is s(i) a prime number?
False
Let g(u) = -59*u - 5 + 2 + 14*u - 7. Is g(-5) a composite number?
True
Let g(h) = 99*h**3 + 4*h**2 + h + 1. Let n be g(-3). Is n/(-9) - (-12)/(-54) a prime number?
True
Let x(c) = -14*c**3 - 4*c**2 + 9*c + 18. Let y(s) = s**2 - 7*s + 1. Let l be y(6). Is x(l) a composite number?
True
Suppose 0 = -9*y + 5*y - 96. Let f = 18 + y. Let d = 28 + f. Is d composite?
True
Is (8892/(-585))/(4/(-10)) a composite number?
True
Suppose -9 = 4*g - 21. Is 0/(-1) - (-36 + g) composite?
True
Let r(n) be the third derivative of -1/2*n**3 + 0 - n**2 - 83/24*n**4 + 0*n. Is r(-4) a prime number?
False
Let l(v) = 216*v**2 - 3*v + 2. Let f = -20 - -22. Let k be l(f). Suppose 2*x + 4*y - 578 = 0, 2*x - 5*x = -y - k. Is x a composite number?
True
Let f(a) = 35*a - 3. Let y be ((-6)/4)/(3/6). Let t(v) = v + 5. Let z be t(y). Is f(z) a prime number?
True
Let b = -64 + 68. Suppose 0 = 3*s + 2*s - 20, -b*s = 3*g - 571. Is g a composite number?
True
Let q(p) = -6440*p + 41. Is q(-1) a prime number?
True
Let q(t) = 273*t**3 + 2*t**2 + 7*t + 1. Is q(3) prime?
True
Suppose -5*a - 6018 - 1477 = 0. Let w = 735 + a. Is (7/14)/((-2)/w) a prime number?
True
Suppose m - 354 = 7*m. Is -6 - -4 - 0 - m prime?
False
Let w(n) = 2448*n**2 + 74*n - 147. Is w(2) composite